Finite Group Databasebeta

← #14776054

Subgroups — #14776054

Order 2816.

1034 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×#10622778C211yesmaximal, characteristic
2C2×SD16×Dic11C211yesmaximal, characteristic, complemented
3C2×C4×#4323C211yesmaximal, characteristic
4#13071692C211yesmaximal, characteristic, complemented
5#13071521C211yesmaximal, characteristic, complemented
6#13069424C211yesmaximal, characteristic, complemented
7#13069383C211yesmaximal, characteristic, complemented
8#13069297C211yesmaximal, characteristic, complemented
9#13069295C211yesmaximal, characteristic, complemented
10#13068962C211yesmaximal, characteristic
11#13068880C211yesmaximal, characteristic, complemented
12#13068868C211yesmaximal, characteristic, complemented
13#13068477C211yesmaximal, characteristic, complemented
14#102×Dic11C211yesmaximal, characteristic, complemented
15C11×#1877C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×#67000C2211yescharacteristic
19C2×Q8×Dic11C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C22×#4323C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C2×C11×#103C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C11×#391C2211yescharacteristic
27C2×#66899C2211yescharacteristic
28C2×#66899C2211yescharacteristic
29C2×#66896C2211yescharacteristic
30#10622823—21no—
31C2×C11⋊#95—21no—
32#10622778C418yescomplemented
33SD16×Dic11—24no—
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66881C2211yescharacteristic
37C2×Dic11⋊C8C2211yescharacteristic
38C2×C8×Dic11C2211yescharacteristic
39C2×C8×Dic11C2211yescharacteristic
40C4×#4323—24no—
41#10622601C2211yescharacteristic
42#10622590C2211yescharacteristic
43C4⋊C4×Dic11C2211yescharacteristic
44#10622586C2211yescharacteristic
45C2×#66873C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47#10622559—21no—
48#10622555—21no—
49C4×Dic11⋊C4C2211yescharacteristic
50#10622541C2211yescharacteristic
51C2×C4×C11⋊C8C2211yescharacteristic
52#10622283—21no—
53#10622282—21no—
54#10622281—21no—
55#10622279—21no—
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×Dic11—21no—
66C23×Dic11—21no—
67C22×D44C2311yescharacteristic
68C22×C4×D11—21no—
69C2×C11×SD16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16C2×C414yescomplemented
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C4×D4×C11—22no—
75C4×D4×C11—41no—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C22⋊C4—21no—
79C2×C42×C11C2311yescharacteristic
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82#67000—22no—
83#67000C2×C414yescomplemented
84Q8×Dic11—22no—
85Q8×Dic11—41no—
86D4×Dic11—22no—
87D4×Dic11—22no—
88D4×Dic11—41no—
89D4×Dic11C2×C414yescomplemented
90C2×#4323—22no—
91C2×#4323—22no—
92C2×#4323C2×C414yes—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4D411yescharacteristic
105C2×Dic11⋊C4D411yescharacteristic
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11C2311yescharacteristic
109C2×C4×Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C4×D44—22no—
113C4×D44—41no—
114C11×#103—41no—
115C11×#102—22no—
116C11×#95—21no—
117C11×#95—21no—
118#66899—22no—
119#66899C2×C414yescomplemented
120#66896D414yes—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95D411yescharacteristic
127C11⋊#95D411yescharacteristic
128#66885—41no—
129#66885C2×C414yescomplemented
130#66881—22no—
131Dic11⋊C8C2×C414yescomplemented
132C8×Dic11—22no—
133C8×Dic11—22no—
134#66873—22no—
135#66871—22no—
136C4×C11⋊C8—22no—
137#22999—111nomaximal, Sylow
138C24×C11—21no—
139C23×D11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C22×C412yes—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11C22×C412yes—
150C2×D4×C11C2×D412yes—
151C2×D4×C11#4112yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2411yescharacteristic
161C22×Dic11—24no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—42no—
166C22×Dic11—42no—
167C22×Dic11—81no—
168C22×Dic11—81no—
169C22×Dic11—81no—
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44C22×C412yes—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—81no—
183C11×SD16—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⋊C4—21no—
194C11×C22⋊C4—42no—
195C42×C11—21no—
196C42×C11—21no—
197C22⋊Dic11—24no—
198C22⋊Dic11—42no—
199#4323—28no—
200(C2×D11)⋊C4—24no—
201(C2×D11)⋊C4—24no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—42no—
204(C2×D11)⋊C4—81no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—42no—
210C4⋊Dic11C22×C412yes—
211C4⋊Dic11C2×D412yes—
212Dic11⋊C4—22no—
213Dic11⋊C4—22no—
214Dic11⋊C4—81no—
215Dic11⋊C4—81no—
216C4×Dic11—21no—
217C4×Dic11—21no—
218C4×Dic11—42no—
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⋊C8C22×C412yes—
227C2×C11⋊C8C2×D412yes—
228C2×#463—111no—
229C2×C4×SD16—111no—
230C2×C4×D8—111no—
231#2367—111no—
232#2349—111no—
233#1958—111no—
234#1949—111no—
235#1934—111no—
236#1933—111no—
237#1879—111no—
238#1877D1111yescharacteristic, complemented
239#1864—111no—
240#1863—111no—
241C8×C4⋊C4—111no—
242C4×#102—111no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—22no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11C22×D411yescharacteristic
251C22×D11—22no—
252C22×D11—41no—
253C22×D11—41no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258Q8×C11—22no—
259Q8×C11—22no—
260Q8×C11—41no—
261Q8×C11—41no—
262D4×C11—22no—
263D4×C11—22no—
264D4×C11—22no—
265D4×C11C4×D414yes—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—22no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—84no—
281C2×C4×C11#13512yes—
282C2×C4×C11C23×C411yescharacteristic
283C2×C4×C11C22×D411yescharacteristic
284C2×C4×C11C2×#4111yescharacteristic
285C2×C4×C11C2×#4111yescharacteristic
286C2×C4×C11H(5,𝔽2)11yescharacteristic
287C2×C4×C112−1+411yescharacteristic
288C2×Dic11—21no—
289C2×Dic11—21no—
290C2×Dic11—21no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—22no—
295C2×Dic11—21no—
296C2×Dic11—22no—
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—84no—
307C2×Dic11—84no—
308C2×Dic11C4×D412yes—
309C2×Dic11C4×D412yes—
310C2×Dic11#13512yes—
311D44—22no—
312D44—22no—
313D44—41no—
314D44—41no—
315C4×D11—84no—
316C8×C11—22no—
317C8×C11—41no—
318C11⋊C8—22no—
319C11⋊C8—22no—
320C22×SD16C2×D1111yescharacteristic
321C22×D8—111no—
322C2×#124—111no—
323C2×C4×Q8—111no—
324C2×C4×D4—111no—
325C2×C4×D4—111no—
326C2×C4×D4—111no—
327C2×C4×D4C2×D1111yescharacteristic
328#463—118no—
329C4×SD16—224no—
330C4×D8—224no—
331C2×#107—111no—
332C2×#106—111no—
333C2×C4⋊C8—111no—
334C2×#103—111no—
335C2×#103—111no—
336C2×#103C2×D1111yescharacteristic
337C2×#102—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102C2×D1111yescharacteristic
342C2×C4×C8—111no—
343C2×C4×C8—111no—
344C2×C4×C8—111no—
345#391C2×D1111yescharacteristic
346#390—111no—
347#389—111no—
348#389—111no—
349#388—221no—
350#388—221no—
351#385—221no—
352#385—221no—
353#385—221no—
354#382—111no—
355#380—221no—
356C4×C4⋊C4—111no—
357C4×C4⋊C4—111no—
358C4×C22⋊C4—221no—
359C2×#95—221no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340C2×D1111yescharacteristic
364#336—111no—
365#336C2×D1111yescharacteristic
366C22×C11—24no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—42no—
373C22×C11C2×C4×D411yescharacteristic
374C22×C11D4211yescharacteristic
375C22×C11#54811yescharacteristic
376C22×C11C2×#13511yescharacteristic
377C22×C11C2×#13511yescharacteristic
378C22×C11#57611yescharacteristic
379C22×C11#57711yescharacteristic
380C2×D11—42no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—81no—
384C2×D11—81no—
385C2×D11—81no—
386C2×D11—81no—
387C4×C11—22no—
388C4×C11—42no—
389C4×C11—41no—
390C4×C11—81no—
391C4×C11—81no—
392C4×C11C2×C4×D411yescharacteristic
393C4×C11#52011yescharacteristic
394C4×C11#54711yescharacteristic
395C4×C11#55311yescharacteristic
396Dic11—22no—
397Dic11—22no—
398Dic11—22no—
399Dic11—42no—
400Dic11—42no—
401Dic11—41no—
402Dic11—81no—
403C22×Q8C22×D1111yescharacteristic
404C22×D4—111no—
405C22×D4C22×D1111yescharacteristic
406C23×C4—21no—
407C23×C4—221no—
408C23×C4—221no—
409C23×C4—221no—
410C2×SD16—22no—
411C2×SD16—22no—
412C2×SD16C4×D1114yescomplemented
413C2×D8—114no—
414C2×D8—222no—
415C2×D8—222no—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8C22×D1111yescharacteristic
419C22×C8C22×D1111yescharacteristic
420#124—114no—
421#124—222no—
422C4×Q8—222no—
423C4×Q8—441no—
424C4×D4—22no—
425C4×D4—41no—
426C4×D4—114no—
427C4×D4—222no—
428C4×D4—222no—
429C4×D4—222no—
430C4×D4—441no—
431C4×D4—441no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—111no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4—221no—
439C2×C4⋊C4—221no—
440C2×C4⋊C4C22×D1111yescharacteristic
441C2×C4⋊C4C22×D1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—221no—
444C2×C22⋊C4—221no—
445C2×C22⋊C4—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C42—111no—
451C2×C42—111no—
452C2×C42—221no—
453C2×C42—221no—
454C2×C42C22×D1111yescharacteristic
455#107—222no—
456#106—222no—
457C4⋊C8—114no—
458#103—41no—
459#103—114no—
460#103—222no—
461#102—22no—
462#102—114no—
463#102—114no—
464#102—222no—
465#102—441no—
466C4×C8—222no—
467C4×C8—222no—
468C4×C8—222no—
469#95—21no—
470#95—21no—
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#236111yescharacteristic
480C2×C11C4×#13511yescharacteristic
481C2×C11#294611yescharacteristic
482C2×C11#328011yescharacteristic
483C2×C11#328211yescharacteristic
484C2×C11#336011yescharacteristic
485C2×C11#336111yescharacteristic
486D11—82no—
487C24—21no—
488C24—221no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8C2×C4×D1112yes—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—112no—
499C2×D4—221no—
500C2×D4—221no—
501C2×D4—221no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4C2×C4×D1112yes—
505C2×D4D4×D1112yes—
506C2×D4#434112yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—81no—
513C22×C4—111no—
514C22×C4—111no—
515C22×C4—111no—
516C22×C4—111no—
517C22×C4—224no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—442no—
522C22×C4—442no—
523C22×C4—442no—
524C22×C4—442no—
525C22×C4—881no—
526C22×C4—881no—
527C22×C4—881no—
528C22×C4—881no—
529C22×C4D4×D1111yescharacteristic
530C22×C4D4×D1111yescharacteristic
531C22×C4C23×D1111yescharacteristic
532SD16—28no—
533D8—228no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—112no—
540C2×C8—112no—
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—21no—
550C4⋊C4—112no—
551C4⋊C4—112no—
552C4⋊C4—222no—
553C4⋊C4—222no—
554C4⋊C4—221no—
555C4⋊C4—221no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—442no—
559C4⋊C4—881no—
560C4⋊C4—881no—
561C22⋊C4—42no—
562C22⋊C4—224no—
563C22⋊C4—224no—
564C22⋊C4—224no—
565C22⋊C4—442no—
566C22⋊C4—442no—
567C22⋊C4—442no—
568C22⋊C4—881no—
569C42—21no—
570C42—21no—
571C42—112no—
572C42—112no—
573C42—221no—
574C42—221no—
575C42—442no—
576C42—881no—
577C11#2299911yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—222no—
586C23—441no—
587C23—441no—
588C23—441no—
589C23—441no—
590C23—441no—
591C23—441no—
592C23C2×D4×D1111yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—222no—
601D4—222no—
602D4—441no—
603D4—441no—
604D4(C22⋊D11)⋊C414yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—84no—
620C2×C4—112no—
621C2×C4—112no—
622C2×C4—112no—
623C2×C4—221no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—221no—
627C2×C4—221no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—221no—
631C2×C4—222no—
632C2×C4—221no—
633C2×C4—222no—
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—884no—
644C2×C4#6696912yes—
645C2×C4C22×C4×D1111yescharacteristic
646C2×C4C2×D4×D1111yescharacteristic
647C2×C4C2×#434111yescharacteristic
648C2×C4#6703711yescharacteristic
649C2×C4#41×D1111yescharacteristic
650C2×C4#6704311yescharacteristic
651C8—22no—
652C8—41no—
653C8—222no—
654C8—222no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—442no—
663C22—442no—
664C22—442no—
665C22—881no—
666C22—881no—
667C22—881no—
668C22—881no—
669C22C4×D4×D1111yescharacteristic
670C22#1062312111yescharacteristic
671C22#1062312911yescharacteristic
672C22C2×#6696911yescharacteristic
673C22D11×#13511yescharacteristic
674C22#1062330511yescharacteristic
675C22#1062330911yescharacteristic
676C4—22no—
677C4—41no—
678C4—42no—
679C4—81no—
680C4—81no—
681C4—222no—
682C4—222no—
683C4—222no—
684C4—442no—
685C4—441no—
686C4—442no—
687C4—881no—
688C4C2×(C22⋊D11)⋊C411yescharacteristic
689C4#1062307711yescharacteristic
690C4#1062313211yescharacteristic
691C4#1062318611yescharacteristic
692C2—44no—
693C2—882no—
694C2#1307162711yescharacteristic
695C2C4×#6696911yescharacteristic
696C2#1307744711yescharacteristic
697C2#1308029411yescharacteristic
698C2#1308032111yescharacteristic
699C2#1308126911yescharacteristic
700C2#1308127111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1877C2
socleC23×C11C22×D4
prime radicalC22×#4323C22
cosocleC22×C4×C11C24
hypercenter#1877D11
hypocenterC11#22999
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
2. C2×SD16×Dic11C2semidirect
4. #13071692C2semidirect
5. #13071521C2semidirect
6. #13069424C2semidirect
7. #13069383C2semidirect
8. #13069297C2semidirect
9. #13069295C2semidirect
11. #13068880C2semidirect
12. #13068868C2semidirect
13. #13068477C2semidirect
14. #102×Dic11C2semidirect
15. C11×#1877C2semidirect
32. #10622778C4semidirect
71. C2×C11×SD16C2×C4semidirect
83. #67000C2×C4semidirect
89. D4×Dic11C2×C4semidirect
119. #66899C2×C4semidirect
129. #66885C2×C4semidirect
131. Dic11⋊C8C2×C4semidirect
238. #1877D11semidirect
412. C2×SD16C4×D11semidirect
577. C11#22999semidirect

Maximal subgroups

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

subgroupindex
C2×#106227782
C2×SD16×Dic112
C2×C4×#43232
#130716922
#130715212
#130694242
#130693832
#130692972
#130692952
#130689622
#130688802
#130688682
#130684772
#102×Dic112
C11×#18772
#2299911