Finite Group Databasebeta

← #14760116

Subgroups — #14760116

Order 2816.

1056 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622766C211yesmaximal, characteristic
2C2×C4×#4324C211yesmaximal, characteristic, complemented
3#13071328C211yesmaximal, characteristic, complemented
4#13070977C211yesmaximal, characteristic, complemented
5#13069547C211yesmaximal, characteristic, complemented
6#13069376C211yesmaximal, characteristic, complemented
7#13069249C211yesmaximal, characteristic, complemented
8#13069246C211yesmaximal, characteristic, complemented
9#13068966C211yesmaximal, characteristic
10#13068948C211yesmaximal, characteristic, complemented
11#13068614C211yesmaximal, characteristic, complemented
12#13068476C211yesmaximal, characteristic, complemented
13#13068447C211yesmaximal, characteristic, complemented
14C4×#66896C211yesmaximal, characteristic, complemented
15C2×C11×#442C211yesmaximal, characteristic
16C22×C11×D8C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66989C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C22×#4324C2211yescharacteristic
23C2×C4×Dic22C2211yescharacteristic
24C11×#442—24no—
25C2×C11×#106C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C11×#97C2211yescharacteristic
29#10622834C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33#10622823—21no—
34#10622823—21no—
35C4×C22⋊Dic11—21no—
36C2×C11⋊#95—21no—
37#10622766C418yescomplemented
38C2×#66880C2211yescharacteristic
39C2×#66880C2211yescharacteristic
40C2×Dic11⋊C8C2211yescharacteristic
41C2×Dic11⋊C8C2211yescharacteristic
42C4×#4324—24no—
43#10622589C2211yescharacteristic
44C4⋊C4×Dic11C2211yescharacteristic
45C4⋊C4×Dic11C2211yescharacteristic
46#10622587C2211yescharacteristic
47C2×#66874C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49#10622557—21no—
50#10622557—21no—
51C22⋊C4×Dic11—21no—
52C22⋊C4×Dic11—21no—
53C4×C4⋊Dic11C2211yescharacteristic
54#10622545C2211yescharacteristic
55C2×C4×C11⋊C8C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×Dic11—21no—
67C23×Dic11—21no—
68C22×Dic22C2311yescharacteristic
69C2×C11×D8—22no—
70C2×C11×D8—22no—
71C2×C11×D8C2×C414yes—
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C4×D4×C11—22no—
75C4×D4×C11—22no—
76C4×D4×C11—22no—
77C4×D4×C11D414yes—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C42×C11C2311yescharacteristic
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89#66989—22no—
90#66989C2×C414yescomplemented
91D4×Dic11—22no—
92D4×Dic11—22no—
93D4×Dic11—22no—
94D4×Dic11C2×C414yescomplemented
95C2×#4324—22no—
96C2×#4324—22no—
97C2×#4324C2×C414yescomplemented
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11C2311yescharacteristic
109C2×C4×Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C4×Dic22—22no—
113C4×Dic22—22no—
114C11×#106—22no—
115C11×#102—22no—
116C11×#102—22no—
117C11×#97—22no—
118#66896—22no—
119#66896—22no—
120#66896C2×C414yescomplemented
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95D411yescharacteristic
127C11⋊#95D411yescharacteristic
128C11⋊#95D411yescharacteristic
129C11⋊#95D411yescharacteristic
130#66880—22no—
131#66880C2×C414yescomplemented
132Dic11⋊C8—22no—
133Dic11⋊C8C2×C414yescomplemented
134#66874—22no—
135#66872—22no—
136C4×C11⋊C8—22no—
137#21510—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11C22×C412yes—
149C2×D4×C11C22×C412yes—
150C2×D4×C11C2×D412yes—
151C2×D4×C11#4112yes—
152C22×C4×C11—21no—
153C22×C4×C11—24no—
154C22×C4×C11—21no—
155C22×C4×C11—42no—
156C22×C4×C11—81no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11—81no—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2411yescharacteristic
163C22×Dic11—24no—
164C22×Dic11—24no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—81no—
170C22×Dic11—81no—
171C22×Dic11—81no—
172C22×Dic11—81no—
173C22×Dic11C2×D411yescharacteristic
174C22×Dic11C2×D411yescharacteristic
175C22×Dic11C2×D411yescharacteristic
176C22×Dic11C2×D411yescharacteristic
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22C22×C412yes—
183C11×D8—28no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11C22×C412yes—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4C2×D412yes—
194C11×C22⋊C4—24no—
195C11×C22⋊C4—42no—
196C42×C11C2×D412yes—
197C42×C11#4112yes—
198C22⋊Dic11—24no—
199C22⋊Dic11—24no—
200C22⋊Dic11—24no—
201C22⋊Dic11—24no—
202C22⋊Dic11—81no—
203C22⋊Dic11—81no—
204#4324—28no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11C22×C412yes—
210C4⋊Dic11#4112yes—
211Dic11⋊C4—42no—
212Dic11⋊C4—81no—
213Dic11⋊C4—81no—
214C4×Dic11—21no—
215C4×Dic11—21no—
216C4×Dic11—42no—
217C4×Dic11—81no—
218C4×Dic11—81no—
219C4×Dic11—81no—
220C4×Dic11C22×C412yes—
221C4×Dic11#4112yes—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8C22×C412yes—
228C2×#463—111no—
229C2×#442D1111yescharacteristic
230C2×C4×SD16—111no—
231#2326—111no—
232#2275—111no—
233#1983—111no—
234#1948—111no—
235#1927—111no—
236#1926—111no—
237#1879—111no—
238#1877—111no—
239#1802—111no—
240#1768—111no—
241#1763—111no—
242C4×#102—111no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—22no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11C22×D411yescharacteristic
258D4×C11—22no—
259D4×C11—22no—
260D4×C11—22no—
261D4×C11—22no—
262D4×C11—22no—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11C4×D414yes—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—84no—
277C2×C4×C11—84no—
278C2×C4×C11#12112yes—
279C2×C4×C11#12112yes—
280C2×C4×C11C23×C411yescharacteristic
281C2×C4×C11C22×D411yescharacteristic
282C2×C4×C11C2×#4111yescharacteristic
283C2×C4×C11C2×#4111yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—22no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—84no—
309C2×Dic11—84no—
310C2×Dic11C4×D412yes—
311C2×Dic11C4×D412yes—
312Dic22—22no—
313Dic22—22no—
314Dic22—41no—
315Dic22—41no—
316C8×C11—22no—
317C8×C11—41no—
318C11⋊C8—22no—
319C11⋊C8—41no—
320C22×SD16—111no—
321C22×D8C2×D1111yescharacteristic
322C2×#124—111no—
323C2×C4×Q8—111no—
324C2×C4×D4—111no—
325C2×C4×D4—111no—
326C2×C4×D4C2×D1111yescharacteristic
327C2×C4×D4C2×D1111yescharacteristic
328#463—118no—
329#442—24no—
330C4×SD16—224no—
331C2×#106—111no—
332C2×#106C2×D1111yescharacteristic
333C2×C4⋊C8—111no—
334C2×C4⋊C8—111no—
335C2×#103—111no—
336C2×#103—111no—
337C2×#103—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102C2×D1111yescharacteristic
342C2×#102C2×D1111yescharacteristic
343C2×#97C2×D1111yescharacteristic
344C2×C4×C8—111no—
345#391—111no—
346#390—111no—
347#388—221no—
348#388—221no—
349#385—221no—
350#385—221no—
351#384—111no—
352C4×C4⋊C4—111no—
353C4×C4⋊C4—111no—
354C4×C4⋊C4—111no—
355C4×C22⋊C4—221no—
356C4×C22⋊C4—221no—
357C4×C22⋊C4—221no—
358#376—111no—
359C2×#95—221no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#336—111no—
365#336—111no—
366C22×C11—24no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—42no—
373C22×C11—42no—
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—81no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11C2×C4×D411yescharacteristic
381C22×C11C2×#12111yescharacteristic
382C22×C11#52511yescharacteristic
383C22×C11#57611yescharacteristic
384C22×C11#57711yescharacteristic
385C22×C11#57711yescharacteristic
386C22×C11#57711yescharacteristic
387C4×C11—22no—
388C4×C11—22no—
389C4×C11—42no—
390C4×C11—81no—
391C4×C11C2×C4×D411yescharacteristic
392C4×C11C4×#4111yescharacteristic
393C4×C11#52911yescharacteristic
394C4×C11#53211yescharacteristic
395Dic11—22no—
396Dic11—22no—
397Dic11—41no—
398Dic11—42no—
399Dic11—41no—
400Dic11—42no—
401Dic11—42no—
402Dic11—81no—
403C22×Q8—111no—
404C22×D4C22×D1111yescharacteristic
405C22×D4C22×D1111yescharacteristic
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—221no—
409C23×C4—221no—
410C2×SD16—114no—
411C2×SD16—222no—
412C2×SD16—222no—
413C2×D8—22no—
414C2×D8—22no—
415C2×D8C4×D1114yes—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8C22×D1111yescharacteristic
419C22×C8C22×D1111yescharacteristic
420#124—114no—
421#124—222no—
422C4×Q8—222no—
423C4×Q8—222no—
424C4×D4—22no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—114no—
428C4×D4—222no—
429C4×D4—222no—
430C4×D4—222no—
431C4×D4C22⋊D1114yes—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—111no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4C22×D1111yescharacteristic
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—221no—
443C2×C22⋊C4—221no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C42—111no—
449C2×C42—111no—
450C2×C42—221no—
451C2×C42—221no—
452C2×C42—221no—
453C2×C42—221no—
454C2×C42C22×D1111yescharacteristic
455#106—22no—
456#106—222no—
457C4⋊C8—114no—
458C4⋊C8—222no—
459#103—114no—
460#103—222no—
461#103—222no—
462#102—22no—
463#102—22no—
464#102—114no—
465#102—222no—
466#102—222no—
467#97—22no—
468C4×C8—222no—
469#95—111no—
470#95—111no—
471#95—111no—
472#95—111no—
473#95—221no—
474#95—221no—
475#95—221no—
476#95—221no—
477#95—221no—
478C2×C11—44no—
479C2×C11—82no—
480C2×C11C4×#12111yescharacteristic
481C2×C11#294611yescharacteristic
482C2×C11#295211yescharacteristic
483C2×C11#304211yescharacteristic
484C2×C11#304511yescharacteristic
485C2×C11#311811yescharacteristic
486C2×C11#312511yescharacteristic
487C24—21no—
488C24—21no—
489C2×Q8—112no—
490C2×Q8—221no—
491C2×Q8—221no—
492C2×Q8—221no—
493C2×Q8—221no—
494C2×Q8—221no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4C2×C4×D1112yes—
504C2×D4C2×C4×D1112yes—
505C2×D4#433912yes—
506C2×D4C2×C22⋊D1112yes—
507C22×C4—21no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4—81no—
515C22×C4—111no—
516C22×C4—111no—
517C22×C4—111no—
518C22×C4—111no—
519C22×C4—224no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—224no—
524C22×C4—221no—
525C22×C4—881no—
526C22×C4—881no—
527C22×C4—881no—
528C22×C4—881no—
529C22×C4D4×D1111yescharacteristic
530C22×C4D4×D1111yescharacteristic
531C22×C4C23×D1111yescharacteristic
532SD16—228no—
533D8—28no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—112no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8C2×C4×D1112yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—112no—
550C4⋊C4—112no—
551C4⋊C4—221no—
552C4⋊C4—221no—
553C4⋊C4—221no—
554C4⋊C4—221no—
555C4⋊C4—442no—
556C4⋊C4—881no—
557C4⋊C4—881no—
558C4⋊C4C2×C22⋊D1112yes—
559C22⋊C4—24no—
560C22⋊C4—42no—
561C22⋊C4—224no—
562C22⋊C4—224no—
563C22⋊C4—224no—
564C22⋊C4—224no—
565C22⋊C4—881no—
566C22⋊C4—881no—
567C42—112no—
568C42—112no—
569C42—221no—
570C42—221no—
571C42—442no—
572C42—881no—
573C42—881no—
574C42—881no—
575C42#434112yes—
576C42C2×C22⋊D1112yes—
577C11#2151011yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C2×D4×D1111yescharacteristic
593Q8—222no—
594Q8—222no—
595Q8—441no—
596Q8—441no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—22no—
602D4—41no—
603D4—41no—
604D4C4×C22⋊D1114yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4—84no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—221no—
620C2×C4—221no—
621C2×C4—221no—
622C2×C4—221no—
623C2×C4—221no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—221no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—222no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—884no—
642C2×C4—884no—
643C2×C4#6699212yes—
644C2×C4#6699212yes—
645C2×C4C22×C4×D1111yescharacteristic
646C2×C4C2×#433911yescharacteristic
647C2×C4C2×#434111yescharacteristic
648C2×C4#41×D1111yescharacteristic
649C2×C4#41×D1111yescharacteristic
650C2×C4C22×C22⋊D1111yescharacteristic
651C8—22no—
652C8—41no—
653C8—222no—
654C8—441no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C4×D4×D1111yescharacteristic
670C22#1062307811yescharacteristic
671C22#1062330511yescharacteristic
672C22#1062330611yescharacteristic
673C22#1062330611yescharacteristic
674C22#1062330611yescharacteristic
675C22C2×#6699211yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—81no—
680C4—222no—
681C4—222no—
682C4—441no—
683C4—442no—
684C4—442no—
685C4—441no—
686C4—442no—
687C4—881no—
688C4C4×#434111yescharacteristic
689C4#1062306911yescharacteristic
690C4C2×C4×C22⋊D1111yescharacteristic
691C4#1062336311yescharacteristic
692C2—44no—
693C2—82no—
694C2C4×#6699211yescharacteristic
695C2#1307744511yescharacteristic
696C2#1307749811yescharacteristic
697C2#1307813011yescharacteristic
698C2#1307815911yescharacteristic
699C2#1307879811yescharacteristic
700C2#1307889711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#442C2
socleC23×C11C22×D4
prime radicalC22×C11×D8C22
cosocleC22×C4×C11C24
hypercenterC2×#442D11
hypocenterC11#21510
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4324C2semidirect
3. #13071328C2semidirect
4. #13070977C2semidirect
5. #13069547C2semidirect
6. #13069376C2semidirect
7. #13069249C2semidirect
8. #13069246C2semidirect
10. #13068948C2semidirect
11. #13068614C2semidirect
12. #13068476C2semidirect
13. #13068447C2semidirect
14. C4×#66896C2semidirect
37. #10622766C4semidirect
90. #66989C2×C4semidirect
94. D4×Dic11C2×C4semidirect
97. C2×#4324C2×C4semidirect
120. #66896C2×C4semidirect
131. #66880C2×C4semidirect
133. Dic11⋊C8C2×C4semidirect
577. C11#21510semidirect

Maximal subgroups

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

subgroupindex
C2×#106227662
C2×C4×#43242
#130713282
#130709772
#130695472
#130693762
#130692492
#130692462
#130689662
#130689482
#130686142
#130684762
#130684472
C4×#668962
C2×C11×#4422
#2151011