Finite Group Databasebeta

← C2×#13069898 #14781613

Subgroups — C2×#13069898 #14781613

Order 2816.

1322 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66962C211yesmaximal, characteristic
2C2×#10622752C211yesmaximal, characteristic
3C2×#10622733C211yesmaximal, characteristic, complemented
4C2×#10622745C211yesmaximal, characteristic
5C22×#66888C211yesmaximal, characteristic, complemented
6#13069898C218yesmaximal, direct product factor
7C2×#10622197C211yesmaximal, characteristic, complemented
8C2×C11×#430C211yesmaximal, characteristic, complemented
9C22×#4339C2211yescharacteristic
10C23×Dic22C2211yescharacteristic
11C22×C11×M16C2211yescharacteristic
12C22×C11×M16C2211yescharacteristic
13C22×C11×M16C2211yescharacteristic
14C2×#66979C2211yescharacteristic
15C22×#4318C2211yescharacteristic
16C2×#66962—22no—
17C2×#66962—22no—
18C2×#66962—22no—
19C2×#66962—22no—
20C2×#66962—22no—
21C2×#66962C2214yes—
22C22×Dic44—21no—
23C22×#4314—21no—
24C11×#430—22no—
25C11×#430C2214yescomplemented
26C2×C11×#108—22no—
27#10622752—22no—
28#10622752C2214yes—
29C2×#66889—22no—
30C2×#66888—21no—
31C2×#66888—22no—
32C2×#66888—22no—
33C2×#66888C2214yescomplemented
34#10622745—22no—
35#10622745C2214yes—
36C2×#66887—21no—
37#10622733—22no—
38#10622733C2214yescomplemented
39C2×#66880—22no—
40#10622197C2214yescomplemented
41C23×C4×C11C2311yescharacteristic
42C22×C22⋊D11—21no—
43C23×Dic11—21no—
44C2×#4339—21no—
45C2×#4339—21no—
46C2×#4339—21no—
47C2×#4339—21no—
48C2×#4339—21no—
49C2×#4339—21no—
50C2×#4339—21no—
51C2×#4339—21no—
52C2×#4339—21no—
53C2×#4339—21no—
54C2×#4339D412yes—
55C2×#4339C2312yes—
56C22×D44D411yescharacteristic
57C22×C4×D11—21no—
58C22×Dic22—21no—
59C22×Dic22—21no—
60C22×Dic22—21no—
61C22×Dic22—21no—
62C22×Dic22—21no—
63C22×Dic22—21no—
64C22×Dic22—21no—
65C22×Dic22—21no—
66C22×Dic22—21no—
67C22×Dic22—21no—
68C22×Dic22—21no—
69C22×Dic22D412yes—
70C22×Dic22D411yescharacteristic
71C22×Dic22D412yes—
72C22×Dic22C2312yes—
73C2×C11×M16—21no—
74C2×C11×M16—21no—
75C2×C11×M16—21no—
76C2×C11×M16—21no—
77C2×C11×M16—21no—
78C2×C11×M16—21no—
79C2×C11×M16—21no—
80C2×C11×M16—21no—
81C2×C11×M16—21no—
82C2×C11×M16—21no—
83C2×C11×M16—21no—
84C2×C11×M16D412yes—
85C2×C11×M16D412yes—
86C2×C11×M16D412yes—
87C2×C11×M16D412yes—
88C2×C11×M16C2312yes—
89C2×C11×M16C2312yes—
90C2×C11×M16C2312yes—
91C22×C8×C11—21no—
92C22×C8×C11—21no—
93C22×C8×C11—21no—
94C2×C22⋊Dic11—21no—
95#66979—21no—
96#66979—21no—
97#66979—21no—
98#66979C2312yes—
99C2×C4⋊Dic11—21no—
100C2×C4×Dic11—21no—
101C2×#4318—21no—
102C2×#4318—21no—
103C2×#4318—21no—
104C2×#4318—21no—
105C2×#4318—21no—
106C2×#4318C2312yes—
107C22×C11⋊C8—21no—
108#66962—28no—
109#66962—28no—
110#66962—28no—
111#66962—28no—
112C2×Dic44—24no—
113C2×Dic44—24no—
114C2×Dic44—24no—
115C2×#4314—24no—
116C2×#4314—24no—
117C2×#4314—24no—
118C11×#108—28no—
119#66889—28no—
120#66888—24no—
121#66888—28no—
122#66887—24no—
123#66880—28no—
124C2×#2049—111nomaximal, Sylow
125C24×C11#4111yescharacteristic
126C23×D11—21no—
127C22×C4×C11C2×D411yescharacteristic
128C22×C4×C11C2×D411yescharacteristic
129C22×C4×C11C2×D411yescharacteristic
130C22×C4×C11C2×D411yescharacteristic
131C22×C4×C11C2×D411yescharacteristic
132C22×C4×C11C2×D411yescharacteristic
133C22×C4×C11C2×D411yescharacteristic
134C22×C4×C11C2×D411yescharacteristic
135C22×C4×C11#4111yescharacteristic
136C22×C4×C11#4111yescharacteristic
137C22×C4×C11#4111yescharacteristic
138C22×C4×C11#4111yescharacteristic
139C22×C4×C11#4111yescharacteristic
140C22×C4×C11C2411yescharacteristic
141C2×C22⋊D11—22no—
142C2×C22⋊D11—22no—
143C2×C22⋊D11—41no—
144C2×C22⋊D11—41no—
145C2×C22⋊D11—41no—
146C2×C22⋊D11—41no—
147C22×Dic11—22no—
148C22×Dic11—22no—
149C22×Dic11—21no—
150C22×Dic11—22no—
151C22×Dic11—41no—
152C22×Dic11—41no—
153C22×Dic11—41no—
154C22×Dic11—41no—
155C22×Dic11—41no—
156#4339—22no—
157#4339—22no—
158#4339—22no—
159#4339—22no—
160#4339—22no—
161#4339—22no—
162#4339—22no—
163#4339—22no—
164#4339—41no—
165#4339—41no—
166#4339—41no—
167#4339—41no—
168#4339—41no—
169#4339—41no—
170#4339—41no—
171#4339—41no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44C2×D412yes—
178C2×C4×D11—22no—
179C2×C4×D11—22no—
180C2×C4×D11—41no—
181C2×C4×D11—41no—
182C2×C4×D11—41no—
183C2×C4×D11—41no—
184C2×Dic22—22no—
185C2×Dic22—22no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—22no—
189C2×Dic22—22no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—22no—
193C2×Dic22—22no—
194C2×Dic22—22no—
195C2×Dic22—22no—
196C2×Dic22—22no—
197C2×Dic22—22no—
198C2×Dic22—21no—
199C2×Dic22—22no—
200C2×Dic22—22no—
201C2×Dic22—22no—
202C2×Dic22—22no—
203C2×Dic22—22no—
204C2×Dic22—41no—
205C2×Dic22—41no—
206C2×Dic22—41no—
207C2×Dic22—41no—
208C2×Dic22—41no—
209C2×Dic22—41no—
210C2×Dic22—41no—
211C2×Dic22—41no—
212C2×Dic22—41no—
213C2×Dic22—41no—
214C2×Dic22—41no—
215C2×Dic22—41no—
216C2×Dic22C2×D414yes—
217C2×Dic22C2×D412yes—
218C11×M16—22no—
219C11×M16—22no—
220C11×M16—22no—
221C11×M16—22no—
222C11×M16—22no—
223C11×M16—22no—
224C11×M16—22no—
225C11×M16—22no—
226C11×M16—41no—
227C11×M16—41no—
228C11×M16C2×D414yes—
229C11×M16C2×D414yes—
230C2×C8×C11—22no—
231C2×C8×C11—22no—
232C2×C8×C11—22no—
233C2×C8×C11—22no—
234C2×C8×C11—22no—
235C2×C8×C11—22no—
236C2×C8×C11—22no—
237C2×C8×C11—41no—
238C2×C8×C11—41no—
239C22⋊Dic11—22no—
240C22⋊Dic11—41no—
241C4⋊Dic11—22no—
242C4⋊Dic11—41no—
243C4×Dic11—22no—
244C4×Dic11—41no—
245#4318—22no—
246#4318—22no—
247#4318—41no—
248#4318—41no—
249C2×C11⋊C8—22no—
250C2×C11⋊C8—41no—
251C2×C11⋊C8—41no—
252Dic44—216no—
253#4314—216no—
254C22×#137—111no—
255C2×#430D1111yescharacteristic, complemented
256C2×#421—111no—
257C2×#419—111no—
258C2×#413—111no—
259C22×#101—111no—
260#2049—118no—
261C2×#344—111no—
262C23×C11—42no—
263C23×C11#12111yescharacteristic
264C23×C11#12111yescharacteristic
265C23×C11#12311yescharacteristic
266C23×C11#12311yescharacteristic
267C23×C11#12411yescharacteristic
268C23×C11#12411yescharacteristic
269C23×C11C2×#4111yescharacteristic
270C22×D11—22no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—82no—
274C2×C4×C11#12011yescharacteristic
275C2×C4×C11#12011yescharacteristic
276C2×C4×C11#12011yescharacteristic
277C2×C4×C11#12011yescharacteristic
278C2×C4×C11#12111yescharacteristic
279C2×C4×C11#12111yescharacteristic
280C2×C4×C11#12111yescharacteristic
281C2×C4×C11#12111yescharacteristic
282C2×C4×C11#12111yescharacteristic
283C2×C4×C11#12111yescharacteristic
284C2×C4×C11#12111yescharacteristic
285C2×C4×C11#12111yescharacteristic
286C2×C4×C11#12111yescharacteristic
287C2×C4×C11#12111yescharacteristic
288C2×C4×C11#12311yescharacteristic
289C2×C4×C11#12311yescharacteristic
290C2×C4×C11#12311yescharacteristic
291C2×C4×C11#12311yescharacteristic
292C2×C4×C11#12311yescharacteristic
293C2×C4×C11#12311yescharacteristic
294C2×C4×C11#12411yescharacteristic
295C2×C4×C11#12411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C22⋊D11—42no—
303C22⋊D11—42no—
304C22⋊D11—42no—
305C22⋊D11—42no—
306C2×Dic11—24no—
307C2×Dic11—22no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—42no—
317C2×Dic11—82no—
318D44—22no—
319D44—22no—
320D44—41no—
321D44—41no—
322C4×D11—42no—
323C4×D11—42no—
324C4×D11—42no—
325C4×D11—42no—
326Dic22—24no—
327Dic22—22no—
328Dic22—22no—
329Dic22—24no—
330Dic22—42no—
331Dic22—42no—
332Dic22—42no—
333Dic22—42no—
334Dic22—42no—
335Dic22—42no—
336Dic22—41no—
337Dic22—41no—
338C8×C11—24no—
339C8×C11—24no—
340C8×C11—42no—
341C11⋊C8—42no—
342C22×#41—111no—
343C23×Q8—111no—
344C2×#137—114no—
345C2×#137—222no—
346C2×#137—222no—
347C2×#137—222no—
348C2×#137—222no—
349C2×#137—222no—
350C22×Q16—221no—
351C22×SD16—221no—
352C22×M16—111no—
353C22×M16C2×D1111yescharacteristic
354C22×M16C2×D1111yescharacteristic
355C22×M16C2×D1111yescharacteristic
356C2×#117—111no—
357#430—22no—
358#430C2×D1114yescomplemented
359C2×#108—22no—
360#421—114no—
361#421—222no—
362C2×#104—222no—
363#419—114no—
364#419—222no—
365C2×#103—222no—
366#413—114no—
367#413—222no—
368C2×#101—114no—
369C2×#101—221no—
370C2×#101—222no—
371C2×#101—222no—
372C2×#100—221no—
373#344—114no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11#39411yescharacteristic
382C22×C11#39411yescharacteristic
383C22×C11#39411yescharacteristic
384C22×C11#39411yescharacteristic
385C22×C11C2×#12111yescharacteristic
386C22×C11C2×#12311yescharacteristic
387C22×C11C2×#12411yescharacteristic
388C2×D11—42no—
389C2×D11—82no—
390C2×D11—82no—
391C2×D11—82no—
392C4×C11#39411yescharacteristic
393C4×C11#39411yescharacteristic
394C4×C11#39411yescharacteristic
395C4×C11#39411yescharacteristic
396C4×C11C2×#12011yescharacteristic
397C4×C11C2×#12111yescharacteristic
398C4×C11C2×#12111yescharacteristic
399C4×C11C2×#12311yescharacteristic
400Dic11—44no—
401Dic11—42no—
402Dic11—82no—
403C2×#41—112no—
404C2×#41—112no—
405C2×#41—221no—
406C2×#41—221no—
407C2×#41—221no—
408C2×#41—221no—
409C2×#41—221no—
410C2×#41—221no—
411C2×#41—221no—
412C2×#41—221no—
413C2×#41—221no—
414C2×#41—221no—
415C22×Q8—111no—
416C22×Q8—112no—
417C22×Q8—112no—
418C22×Q8—112no—
419C22×Q8—221no—
420C22×Q8—221no—
421C22×Q8—221no—
422C22×Q8—221no—
423C22×Q8—221no—
424C22×Q8—221no—
425C22×Q8—221no—
426C22×Q8—221no—
427C22×Q8—221no—
428C22×Q8—221no—
429C22×Q8—221no—
430C22×D4—111no—
431C22×D4—221no—
432C23×C4—221no—
433C23×C4—221no—
434C23×C4C22×D1111yescharacteristic
435#137—228no—
436#137—228no—
437#137—228no—
438#137—228no—
439C2×Q16—224no—
440C2×Q16—224no—
441C2×Q16—224no—
442C2×SD16—224no—
443C2×SD16—224no—
444C2×SD16—224no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C2×M16—21no—
450C2×M16—21no—
451C2×M16—21no—
452C2×M16—21no—
453C2×M16—21no—
454C2×M16—21no—
455C2×M16—21no—
456C2×M16—112no—
457C2×M16—221no—
458C2×M16—221no—
459C2×M16—221no—
460C2×M16—221no—
461C2×M16—221no—
462C2×M16D4412yes—
463C2×M16D4412yes—
464C2×M16C22⋊D1112yes—
465C2×M16C22⋊D1112yes—
466C2×M16C22×D1112yes—
467C2×M16C22×D1112yes—
468C2×M16C22×D1112yes—
469C22×C8—21no—
470C22×C8—21no—
471C22×C8—21no—
472C22×C8—221no—
473#117—112no—
474#117—221no—
475#117—221no—
476#117—221no—
477C2×C4⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C42—221no—
480#108—28no—
481#104—228no—
482#103—228no—
483#101—224no—
484#101—228no—
485#100—224no—
486C2×C11—21no—
487C2×C11—21no—
488C2×C11—21no—
489C2×C11—21no—
490C2×C11—21no—
491C2×C11—21no—
492C2×C11#204912yescomplemented
493C2×C11C2×#39411yescharacteristic
494D11—82no—
495C24—221no—
496C24#434311yescharacteristic
497#41—222no—
498#41—222no—
499#41—222no—
500#41—222no—
501#41—222no—
502#41—222no—
503#41—222no—
504#41—222no—
505#41—441no—
506#41—441no—
507#41—441no—
508#41—441no—
509#41—441no—
510#41—441no—
511#41—441no—
512#41—441no—
513C2×Q8—112no—
514C2×Q8—114no—
515C2×Q8—221no—
516C2×Q8—222no—
517C2×Q8—222no—
518C2×Q8—222no—
519C2×Q8—222no—
520C2×Q8—222no—
521C2×Q8—222no—
522C2×Q8—222no—
523C2×Q8—221no—
524C2×Q8—221no—
525C2×Q8—222no—
526C2×Q8—222no—
527C2×Q8—221no—
528C2×Q8—221no—
529C2×Q8—222no—
530C2×Q8—222no—
531C2×Q8—222no—
532C2×Q8—222no—
533C2×Q8—222no—
534C2×Q8—222no—
535C2×Q8—441no—
536C2×Q8—441no—
537C2×Q8—441no—
538C2×Q8—441no—
539C2×Q8—441no—
540C2×Q8—441no—
541C2×Q8—441no—
542C2×Q8—441no—
543C2×Q8—441no—
544C2×Q8—441no—
545C2×Q8—441no—
546C2×Q8—441no—
547C2×D4—112no—
548C2×D4—222no—
549C2×D4—222no—
550C2×D4—221no—
551C2×D4—221no—
552C2×D4—221no—
553C2×D4—221no—
554C2×D4—221no—
555C2×D4—441no—
556C2×D4—441no—
557C2×D4—441no—
558C2×D4—441no—
559C22×C4—221no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—441no—
566C22×C4—441no—
567C22×C4—441no—
568C22×C4—441no—
569C22×C4—441no—
570C22×C4—441no—
571C22×C4—441no—
572C22×C4—441no—
573C22×C4—441no—
574C22×C4C2×D4411yescharacteristic
575C22×C4C2×D4411yescharacteristic
576C22×C4#433911yescharacteristic
577C22×C4#433911yescharacteristic
578C22×C4D4×D1111yescharacteristic
579C22×C4D4×D1111yescharacteristic
580C22×C4D4×D1111yescharacteristic
581C22×C4D4×D1111yescharacteristic
582C22×C4#434311yescharacteristic
583C22×C4#434311yescharacteristic
584C22×C4#434311yescharacteristic
585C22×C4C2×C22⋊D1111yescharacteristic
586C22×C4C2×C22⋊D1111yescharacteristic
587C22×C4C23×D1111yescharacteristic
588Q16—2216no—
589SD16—2216no—
590M16—22no—
591M16—22no—
592M16—22no—
593M16—22no—
594M16—22no—
595M16—22no—
596M16—22no—
597M16—22no—
598M16—41no—
599M16—41no—
600M16—222no—
601M16—222no—
602M16—441no—
603M16—441no—
604M16C2×D4414yes—
605M16C2×C22⋊D1114yes—
606C2×C8—22no—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—22no—
610C2×C8—22no—
611C2×C8—22no—
612C2×C8—22no—
613C2×C8—41no—
614C2×C8—41no—
615C2×C8—222no—
616C2×C8—441no—
617C2×C8—441no—
618C4⋊C4—222no—
619C4⋊C4—441no—
620C22⋊C4—222no—
621C22⋊C4—441no—
622C42—222no—
623C42—441no—
624C11C2×#204911yescharacteristic, complemented, Sylow
625C23—42no—
626C23—222no—
627C23—441no—
628C23—441no—
629C23—882no—
630C23#6694711yescharacteristic
631C23#6694711yescharacteristic
632C23#6694811yescharacteristic
633C23#6694811yescharacteristic
634C23#6700011yescharacteristic
635C23#6700011yescharacteristic
636C23C2×#434311yescharacteristic
637Q8—224no—
638Q8—222no—
639Q8—224no—
640Q8—222no—
641Q8—442no—
642Q8—442no—
643Q8—442no—
644Q8—442no—
645Q8—442no—
646Q8—442no—
647Q8—441no—
648Q8—441no—
649D4—222no—
650D4—222no—
651D4—442no—
652D4—442no—
653D4—442no—
654D4—442no—
655D4—441no—
656D4—441no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—442no—
660C2×C4—442no—
661C2×C4—441no—
662C2×C4—442no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—441no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—882no—
673C2×C4#6694711yescharacteristic
674C2×C4#6694711yescharacteristic
675C2×C4#6694711yescharacteristic
676C2×C4#6694711yescharacteristic
677C2×C4#6694711yescharacteristic
678C2×C4#6694711yescharacteristic
679C2×C4#6694811yescharacteristic
680C2×C4#6694811yescharacteristic
681C2×C4#6694811yescharacteristic
682C2×C4#6694811yescharacteristic
683C2×C4#6694811yescharacteristic
684C2×C4#6694811yescharacteristic
685C2×C4#6698311yescharacteristic
686C2×C4#6698311yescharacteristic
687C2×C4#6698311yescharacteristic
688C2×C4#6698311yescharacteristic
689C2×C4#6699011yescharacteristic
690C2×C4#6699011yescharacteristic
691C2×C4#6699011yescharacteristic
692C2×C4#6699011yescharacteristic
693C2×C4#6700011yescharacteristic
694C2×C4#6700011yescharacteristic
695C2×C4C22×D4411yescharacteristic
696C2×C4C2×#433911yescharacteristic
697C2×C4C2×D4×D1111yescharacteristic
698C2×C4C2×D4×D1111yescharacteristic
699C2×C4C2×#434311yescharacteristic
700C2×C4C22×C22⋊D1111yescharacteristic
701C8—24no—
702C8—24no—
703C8—42no—
704C8—442no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—442no—
713C22—882no—
714C22—882no—
715C22—882no—
716C22#1062260411yescharacteristic
717C22#1062260411yescharacteristic
718C22#1062260411yescharacteristic
719C22#1062260411yescharacteristic
720C22C2×#6694711yescharacteristic
721C22C2×#6694811yescharacteristic
722C22C2×#6700011yescharacteristic
723C4—442no—
724C4—444no—
725C4—882no—
726C4#1062260411yescharacteristic
727C4#1062260411yescharacteristic
728C4#1062260411yescharacteristic
729C4#1062260411yescharacteristic
730C4C2×#6694711yescharacteristic
731C4C2×#6694811yescharacteristic
732C4C2×#6698311yescharacteristic
733C4C2×#6699011yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—882no—
741C2#1306989812yesdirect product factor
742C2C2×#1062260411yescharacteristic
subgroupG/H
centerC22#10622604
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#430C2
socleC22×C11#394
prime radicalC22×#4339C22
hypercenterC2×#430D11
hypocenterC11C2×#2049
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#430

Complements

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

NH ≅ G/Ntype
3. C2×#10622733C2semidirect
5. C22×#66888C2semidirect
6. #13069898C2direct (N × H)
7. C2×#10622197C2semidirect
8. C2×C11×#430C2semidirect
25. C11×#430C22semidirect
33. C2×#66888C22semidirect
38. #10622733C22semidirect
40. #10622197C22semidirect
255. C2×#430D11semidirect
358. #430C2×D11semidirect
492. C2×C11#2049semidirect
624. C11C2×#2049semidirect
741. C2#13069898direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669622
C2×#106227522
C2×#106227332
C2×#106227452
C22×#668882
#130698982
C2×#106221972
C2×C11×#4302
C2×#204911