Finite Group Databasebeta

← C2×#11748900 #14320263

Subgroups — C2×#11748900 #14320263

Order 1920.

2464 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D5×Dic3C211yesmaximal, characteristic
2C22×C4⋊Dic15C211yesmaximal, characteristic, complemented
3C22×C3×#685C211yesmaximal, characteristic
4C22×#6668C211yesmaximal, characteristic, complemented
5C22×#6665C211yesmaximal, characteristic
6C2×C5×C3⋊#95C211yesmaximal, characteristic, complemented
7C2×#90994C211yesmaximal, characteristic, complemented
8#11748900C218yesmaximal, direct product factor
9C2×#64957—31nomaximal, Hall
10C24×C3×D5C2211yescharacteristic
11C23×C3×C4×C5C2211yescharacteristic
12C23×Dic15C2211yescharacteristic
13C23×Dic15C2211yescharacteristic
14C23×C5×Dic3C2211yescharacteristic
15C23×C5×Dic3C2211yescharacteristic
16C23×C3×Dic5C2211yescharacteristic
17C22×D5×Dic3—24no—
18C22×D5×Dic3—24no—
19C22×D5×Dic3—24no—
20C22×D5×Dic3C2214yes—
21C2×C4⋊Dic15—24no—
22C2×C4⋊Dic15C2214yescomplemented
23C2×C3×#685C418yescomplemented
24C2×C3×#685C2214yes—
25C2×#6668—24no—
26C2×#6668C2214yescomplemented
27C2×#6665—24no—
28C2×#6665C2214yes—
29C5×C3⋊#95C2214yescomplemented
30#90994C2214yescomplemented
31C2×#4950—51nomaximal, Hall
32C23×C4×D5—31no—
33C22×#685—31no—
34C22×#685D311yescharacteristic
35C22×C4⋊Dic5—31no—
36C22×#683—31no—
37C2×C5×#95—31no—
38C2×#3963—31no—
39#64957—38no—
40C24×C3×C5C2311yescharacteristic
41C23×C3×D5—22no—
42C23×C3×D5—22no—
43C23×C3×D5—22no—
44C23×C3×D5—22no—
45C23×C3×D5C2×C414yes—
46C23×C3×D5D414yes—
47C23×C3×D5Q814yes—
48C23×C3×D5C2312yes—
49C22×C3×C4×C5—22no—
50C22×C3×C4×C5—22no—
51C22×C3×C4×C5C2×C414yescomplemented
52C22×C3×C4×C5C2312yes—
53C22×Dic15—22no—
54C22×Dic15—22no—
55C22×Dic15—22no—
56C22×Dic15—22no—
57C22×Dic15—22no—
58C22×Dic15D414yes—
59C22×Dic15C2312yes—
60C22×Dic15C2312yes—
61C22×C5×Dic3—22no—
62C22×C5×Dic3—22no—
63C22×C5×Dic3—22no—
64C22×C5×Dic3—22no—
65C22×C5×Dic3—22no—
66C22×C5×Dic3D414yes—
67C22×C5×Dic3C2312yes—
68C22×C5×Dic3C2312yes—
69C22×C3×Dic5—22no—
70C22×C3×Dic5—22no—
71C22×C3×Dic5C2×C414yescomplemented
72C22×C3×Dic5C2312yes—
73C2×D5×Dic3—232no—
74C2×D5×Dic3—28no—
75C2×D5×Dic3—28no—
76C2×D5×Dic3—28no—
77C4⋊Dic15—28no—
78C3×#685C2×C4116yescomplemented
79#6668—28no—
80#6665—28no—
81C24×Dic3—51no—
82C22×C3×C22⋊C4—51no—
83C22×#217—51no—
84C22×C4⋊Dic3—51no—
85C22×C4⋊Dic3—51no—
86C2×C3⋊#95—51no—
87C2×C3⋊#95D511yescharacteristic, complemented
88#4950—58no—
89C24×D5C2×D311yescharacteristic
90C23×C4×C5—31no—
91C23×C4×C5—31no—
92C23×C4×C5C2×D311yescharacteristic
93C23×Dic5—31no—
94C23×Dic5—31no—
95C23×Dic5C2×D311yescharacteristic
96C22×C4×D5—34no—
97C22×C4×D5—64no—
98C22×C4×D5—64no—
99C22×C4×D5—64no—
100C2×#685—34no—
101C2×#685—64no—
102C2×#685Dic318yescomplemented
103C2×#685C2×D314yes—
104C2×C4⋊Dic5—34no—
105C2×C4⋊Dic5—64no—
106C2×#683—34no—
107C2×#683—64no—
108C5×#95—34no—
109#3963—34no—
110C2×#385—151noSylow
111C23×C3×C5C22×C412yes—
112C23×C3×C5C2×D412yes—
113C23×C3×C5C2×D412yes—
114C23×C3×C5C2×D412yes—
115C23×C3×C5C2×Q812yes—
116C23×C3×C5#4112yes—
117C23×C3×C5#4112yes—
118C23×C3×C5C2411yescharacteristic
119C22×C3×D5—28no—
120C22×C3×D5—28no—
121C22×C3×D5—28no—
122C22×C3×D5—28no—
123C22×C3×D5—28no—
124C22×C3×D5—28no—
125C22×C3×D5—22no—
126C22×C3×D5—22no—
127C22×C3×D5—22no—
128C22×C3×D5—22no—
129C22×C3×D5C4⋊C4116yescomplemented
130C22×C3×D5C22×C414yes—
131C22×C3×D5C2×D414yes—
132C22×C3×D5C2×Q814yes—
133C2×C3×C4×C5—28no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5C22×C414yescomplemented
137C2×Dic15—28no—
138C2×Dic15—22no—
139C2×Dic15—22no—
140C2×Dic15—22no—
141C2×Dic15—22no—
142C2×Dic15—22no—
143C2×Dic15—44no—
144C2×Dic15C2×D414yes—
145C2×C5×Dic3—28no—
146C2×C5×Dic3—22no—
147C2×C5×Dic3—22no—
148C2×C5×Dic3—22no—
149C2×C5×Dic3—22no—
150C2×C5×Dic3—22no—
151C2×C5×Dic3—44no—
152C2×C5×Dic3C2×D414yes—
153C2×C3×Dic5—28no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5C22×C414yescomplemented
157D5×Dic3—232no—
158C25×C3—51no—
159C23×C3×C4—51no—
160C23×C3×C4C2×D511yescharacteristic
161C23×Dic3—51no—
162C23×Dic3—51no—
163C23×Dic3—54no—
164C23×Dic3—104no—
165C23×Dic3—104no—
166C23×Dic3—104no—
167C23×Dic3C2×D511yescharacteristic
168C23×Dic3C2×D511yescharacteristic
169C2×C3×C22⋊C4—58no—
170C2×C3×C22⋊C4—54no—
171C2×#217—54no—
172C2×#217—104no—
173C2×C4⋊Dic3—54no—
174C2×C4⋊Dic3—54no—
175C2×C4⋊Dic3—104no—
176C2×C4⋊Dic3—104no—
177C3⋊#95—54no—
178C3⋊#95C2×D514yescomplemented
179C24×C5C22×D311yescharacteristic
180C23×D5—22no—
181C23×D5—22no—
182C23×D5—22no—
183C23×D5—22no—
184C23×D5Dic614yes—
185C23×D5D1214yes—
186C23×D5C2×Dic314yes—
187C23×D5C22×D312yes—
188C22×C4×C5—22no—
189C22×C4×C5—22no—
190C22×C4×C5—34no—
191C22×C4×C5—32no—
192C22×C4×C5—32no—
193C22×C4×C5—62no—
194C22×C4×C5—62no—
195C22×C4×C5—62no—
196C22×C4×C5—62no—
197C22×C4×C5—62no—
198C22×C4×C5C2×Dic314yescomplemented
199C22×C4×C5C22×D312yes—
200C22×Dic5—22no—
201C22×Dic5—22no—
202C22×Dic5—34no—
203C22×Dic5—32no—
204C22×Dic5—32no—
205C22×Dic5—62no—
206C22×Dic5—62no—
207C22×Dic5—62no—
208C22×Dic5—62no—
209C22×Dic5—62no—
210C22×Dic5C2×Dic314yescomplemented
211C22×Dic5C22×D312yes—
212C2×C4×D5—68no—
213C2×C4×D5—68no—
214C2×C4×D5—632no—
215C2×C4×D5—68no—
216#685—68no—
217#685C2×Dic3116yescomplemented
218C4⋊Dic5—68no—
219#683—68no—
220C24×C4—151no—
221C22×C4⋊C4—151no—
222C22×C4⋊C4—151no—
223C22×C22⋊C4—51no—
224C22×C22⋊C4—151no—
225#385—158no—
226C2×#95—31no—
227C2×#95—151no—
228C22×C3×C5C2×C4⋊C414yes—
229C22×C3×C5C4×D414yes—
230C22×C3×C5C4×D414yes—
231C22×C3×C5#12014yes—
232C22×C3×C5C22⋊Q814yes—
233C22×C3×C5C22⋊Q814yes—
234C22×C3×C5#12314yes—
235C22×C3×C5C23×C411yescharacteristic
236C22×C3×C5C22×D411yescharacteristic
237C22×C3×C5C22×D411yescharacteristic
238C22×C3×C5C22×D411yescharacteristic
239C22×C3×C5C22×Q811yescharacteristic
240C22×C3×C5C2×#4111yescharacteristic
241C22×C3×C5C2×#4111yescharacteristic
242C2×C3×D5—24no—
243C2×C3×D5—24no—
244C2×C3×D5—24no—
245C2×C3×D5—24no—
246C2×C3×D5—24no—
247C2×C3×D5—24no—
248C2×C3×D5—232no—
249C2×C3×D5C2×C4⋊C418yescomplemented
250C3×C4×C5—24no—
251Dic15—24no—
252Dic15—42no—
253C3×Dic5—24no—
254C5×Dic3—24no—
255C5×Dic3—42no—
256C24×C3—54no—
257C24×C3—54no—
258C24×C3—54no—
259C24×C3—52no—
260C24×C3—102no—
261C24×C3—102no—
262C24×C3—102no—
263C24×C3—102no—
264C24×C3C22×D511yescharacteristic
265C22×C3×C4—22no—
266C22×C3×C4—22no—
267C22×C3×C4—54no—
268C22×C3×C4—52no—
269C22×C3×C4—102no—
270C22×C3×C4—102no—
271C22×C3×C4C4×D514yescomplemented
272C22×C3×C4C22×D512yes—
273C22×Dic3—22no—
274C22×Dic3—22no—
275C22×Dic3—22no—
276C22×Dic3—22no—
277C22×Dic3—22no—
278C22×Dic3—54no—
279C22×Dic3—52no—
280C22×Dic3—52no—
281C22×Dic3—108no—
282C22×Dic3—108no—
283C22×Dic3—1032no—
284C22×Dic3—102no—
285C22×Dic3—102no—
286C22×Dic3—108no—
287C22×Dic3—102no—
288C22×Dic3—102no—
289C22×Dic3—102no—
290C22×Dic3D2014yes—
291C22×Dic3C22×D512yes—
292C22×Dic3C22×D512yes—
293C3×C22⋊C4—516no—
294#217—108no—
295C4⋊Dic3—108no—
296C4⋊Dic3—108no—
297C23×C5C2×Dic612yes—
298C23×C5C2×D1212yes—
299C23×C5D3×D412yes—
300C23×C5D3×D412yes—
301C23×C5#23712yes—
302C23×C5#23712yes—
303C23×C5C22×Dic312yes—
304C23×C5C23×D311yescharacteristic
305C22×D5—28no—
306C22×D5—28no—
307C22×D5—28no—
308C22×D5—28no—
309C22×D5—28no—
310C22×D5—28no—
311C22×D5—22no—
312C22×D5—22no—
313C22×D5—22no—
314C22×D5—22no—
315C22×D5C4⋊Dic3116yescomplemented
316C22×D5C2×Dic614yes—
317C22×D5C2×D1214yes—
318C22×D5C22×Dic314yes—
319C2×C4×C5—28no—
320C2×C4×C5—22no—
321C2×C4×C5—22no—
322C2×C4×C5—34no—
323C2×C4×C5—68no—
324C2×C4×C5—62no—
325C2×C4×C5—62no—
326C2×C4×C5—62no—
327C2×C4×C5—62no—
328C2×C4×C5—62no—
329C2×C4×C5—124no—
330C2×C4×C5C22×Dic314yescomplemented
331C2×Dic5—28no—
332C2×Dic5—22no—
333C2×Dic5—22no—
334C2×Dic5—34no—
335C2×Dic5—68no—
336C2×Dic5—62no—
337C2×Dic5—62no—
338C2×Dic5—62no—
339C2×Dic5—62no—
340C2×Dic5—62no—
341C2×Dic5—124no—
342C2×Dic5C22×Dic314yescomplemented
343C4×D5—632no—
344C25—51no—
345C23×C4—31no—
346C23×C4—31no—
347C23×C4—51no—
348C23×C4—154no—
349C23×C4—151no—
350C23×C4—151no—
351C23×C4—304no—
352C23×C4—304no—
353C23×C4—304no—
354C23×C4D3×D511yescharacteristic
355C2×C4⋊C4—154no—
356C2×C4⋊C4—154no—
357C2×C4⋊C4—304no—
358C2×C4⋊C4—304no—
359C2×C22⋊C4—58no—
360C2×C22⋊C4—54no—
361C2×C22⋊C4—154no—
362C2×C22⋊C4—304no—
363#95—34no—
364#95—154no—
365C2×C3×C5#38518yescomplemented
366C2×C3×C5C22×C4⋊C411yescharacteristic
367C2×C3×C5C2×C4×D411yescharacteristic
368C2×C3×C5C2×C4×D411yescharacteristic
369C2×C3×C5C2×#12011yescharacteristic
370C2×C3×C5C2×C22⋊Q811yescharacteristic
371C2×C3×C5C2×C22⋊Q811yescharacteristic
372C2×C3×C5C2×#12311yescharacteristic
373C3×D5—28no—
374C23×C3—54no—
375C23×C3—54no—
376C23×C3—54no—
377C23×C3—516no—
378C23×C3—102no—
379C23×C3—102no—
380C23×C3—102no—
381C23×C3—102no—
382C23×C3—108no—
383C23×C3—108no—
384C23×C3—108no—
385C23×C3—108no—
386C23×C3—108no—
387C23×C3—108no—
388C23×C3C2×C4×D512yes—
389C23×C3C2×D2012yes—
390C23×C3#70912yes—
391C23×C3D4×D512yes—
392C23×C3D4×D512yes—
393C23×C3#71112yes—
394C23×C3Q8×D512yes—
395C23×C3C23×D511yescharacteristic
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—28no—
399C2×C3×C4—54no—
400C2×C3×C4—102no—
401C2×C3×C4—102no—
402C2×C3×C4—108no—
403C2×C3×C4C2×C4×D514yescomplemented
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—28no—
407C2×Dic3—22no—
408C2×Dic3—22no—
409C2×Dic3—22no—
410C2×Dic3—44no—
411C2×Dic3—54no—
412C2×Dic3—1032no—
413C2×Dic3—102no—
414C2×Dic3—102no—
415C2×Dic3—108no—
416C2×Dic3—102no—
417C2×Dic3—102no—
418C2×Dic3—102no—
419C2×Dic3—204no—
420C2×Dic3C2×D2014yes—
421C22×C5#87814yes—
422C22×C5#87814yes—
423C22×C5#88214yes—
424C22×C5#88614yes—
425C22×C5C2×C4⋊Dic314yes—
426C22×C5D4×Dic314yes—
427C22×C5D4×Dic314yes—
428C22×C5C22×Dic611yescharacteristic
429C22×C5C22×D1211yescharacteristic
430C22×C5C2×D3×D411yescharacteristic
431C22×C5C2×D3×D411yescharacteristic
432C22×C5C2×#23711yescharacteristic
433C22×C5C2×#23711yescharacteristic
434C22×C5C23×Dic311yescharacteristic
435C2×D5—232no—
436C2×D5—24no—
437C2×D5—24no—
438C2×D5—24no—
439C2×D5—24no—
440C2×D5—24no—
441C2×D5—24no—
442C2×D5C2×C4⋊Dic318yescomplemented
443C4×C5—24no—
444C4×C5—64no—
445C4×C5—122no—
446Dic5—24no—
447Dic5—64no—
448Dic5—122no—
449C24—54no—
450C24—54no—
451C24—54no—
452C24—52no—
453C24—102no—
454C24—102no—
455C24—102no—
456C24—102no—
457C24C2×D3×D511yescharacteristic
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—34no—
461C22×C4—32no—
462C22×C4—32no—
463C22×C4—54no—
464C22×C4—52no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—62no—
470C22×C4—102no—
471C22×C4—102no—
472C22×C4—154no—
473C22×C4—152no—
474C22×C4—152no—
475C22×C4—308no—
476C22×C4—308no—
477C22×C4—308no—
478C22×C4—3032no—
479C22×C4—302no—
480C22×C4—302no—
481C22×C4—302no—
482C22×C4—302no—
483C22×C4—302no—
484C22×C4D5×Dic314yescomplemented
485C22×C4C2×D3×D512yes—
486C4⋊C4—308no—
487C4⋊C4—308no—
488C22⋊C4—516no—
489C22⋊C4—308no—
490C3×C5C2×#38511yescharacteristic, complemented, Hall
491C22×C3—58no—
492C22×C3—104no—
493C22×C3—104no—
494C22×C3—104no—
495C22×C3—104no—
496C22×C3—104no—
497C22×C3—104no—
498C22×C3—1032no—
499C22×C3C4×D2014yes—
500C22×C3#402714yes—
501C22×C3#402814yes—
502C22×C3#402914yes—
503C22×C3D5×C4⋊C414yes—
504C22×C3#404214yes—
505C22×C3#404314yes—
506C22×C3C22×C4×D511yescharacteristic
507C22×C3C22×D2011yescharacteristic
508C22×C3C2×#70911yescharacteristic
509C22×C3C2×D4×D511yescharacteristic
510C22×C3C2×D4×D511yescharacteristic
511C22×C3C2×#71111yescharacteristic
512C22×C3C2×Q8×D511yescharacteristic
513C3×C4—24no—
514C3×C4—104no—
515Dic3—24no—
516Dic3—42no—
517Dic3—104no—
518Dic3—202no—
519C2×C5#495018yescomplemented
520C2×C5C2×#87811yescharacteristic
521C2×C5C2×#87811yescharacteristic
522C2×C5C2×#88211yescharacteristic
523C2×C5C2×#88611yescharacteristic
524C2×C5C22×C4⋊Dic311yescharacteristic
525C2×C5C2×D4×Dic311yescharacteristic
526C2×C5C2×D4×Dic311yescharacteristic
527D5—28no—
528C23—516no—
529C23—54no—
530C23—54no—
531C23—54no—
532C23—108no—
533C23—108no—
534C23—108no—
535C23—108no—
536C23—108no—
537C23—102no—
538C23—102no—
539C23—102no—
540C23—102no—
541C23—108no—
542C23D5×Dic612yes—
543C23#676512yes—
544C23D5×D1212yes—
545C23D3×D2012yes—
546C23C2×D5×Dic312yes—
547C23#678012yes—
548C23#679012yes—
549C23C22×D3×D511yescharacteristic
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—28no—
553C2×C4—34no—
554C2×C4—54no—
555C2×C4—68no—
556C2×C4—62no—
557C2×C4—62no—
558C2×C4—62no—
559C2×C4—62no—
560C2×C4—62no—
561C2×C4—108no—
562C2×C4—102no—
563C2×C4—102no—
564C2×C4—124no—
565C2×C4—154no—
566C2×C4—3032no—
567C2×C4—308no—
568C2×C4—302no—
569C2×C4—302no—
570C2×C4—302no—
571C2×C4—302no—
572C2×C4—302no—
573C2×C4—604no—
574C2×C4C2×D5×Dic314yescomplemented
575C2×C3—108no—
576C2×C3#6495718yescomplemented
577C2×C3C2×C4×D2011yescharacteristic
578C2×C3C2×#402711yescharacteristic
579C2×C3C2×#402811yescharacteristic
580C2×C3C2×#402911yescharacteristic
581C2×C3C2×D5×C4⋊C411yescharacteristic
582C2×C3C2×#404211yescharacteristic
583C2×C3C2×#404311yescharacteristic
584C5C2×#495011yescharacteristic, complemented, Sylow
585C22—58no—
586C22—1032no—
587C22—104no—
588C22—104no—
589C22—104no—
590C22—104no—
591C22—104no—
592C22—104no—
593C22D5×C4⋊Dic314yes—
594C22#9141414yes—
595C22#9142214yes—
596C22Dic3×D2014yes—
597C22#9143114yes—
598C22#9147614yes—
599C22#9155914yes—
600C22C2×D5×Dic611yescharacteristic
601C22C2×#676511yescharacteristic
602C22C2×D5×D1211yescharacteristic
603C22C2×D3×D2011yescharacteristic
604C22C22×D5×Dic311yescharacteristic
605C22C2×#678011yescharacteristic
606C22C2×#679011yescharacteristic
607C4—24no—
608C4—64no—
609C4—104no—
610C4—122no—
611C4—304no—
612C4—602no—
613C3C2×#6495711yescharacteristic, complemented, Sylow
614C2—108no—
615C2#1174890018yesdirect product factor
616C2C2×D5×C4⋊Dic311yescharacteristic
617C2C2×#9141411yescharacteristic
618C2C2×#9142211yescharacteristic
619C2C2×Dic3×D2011yescharacteristic
620C2C2×#9143111yescharacteristic
621C2C2×#9147611yescharacteristic
622C2C2×#9155911yescharacteristic
subgroupG/H
centerC24C2×D3×D5
commutatorC22×C3×C5C23×C4
FrattiniC23C22×D3×D5
FittingC23×C3×C4×C5C22
socleC24×C3×C5C23
prime radicalC24×C3×D5C22
cosocleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#385
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊Dic15C2semidirect
4. C22×#6668C2semidirect
6. C2×C5×C3⋊#95C2semidirect
7. C2×#90994C2semidirect
8. #11748900C2direct (N × H)
22. C2×C4⋊Dic15C22semidirect
23. C2×C3×#685C4semidirect
26. C2×#6668C22semidirect
29. C5×C3⋊#95C22semidirect
30. #90994C22semidirect
51. C22×C3×C4×C5C2×C4semidirect
71. C22×C3×Dic5C2×C4semidirect
78. C3×#685C2×C4semidirect
87. C2×C3⋊#95D5semidirect
102. C2×#685Dic3semidirect
129. C22×C3×D5C4⋊C4semidirect
136. C2×C3×C4×C5C22×C4semidirect
156. C2×C3×Dic5C22×C4semidirect
178. C3⋊#95C2×D5semidirect
198. C22×C4×C5C2×Dic3semidirect
210. C22×Dic5C2×Dic3semidirect
217. #685C2×Dic3semidirect
249. C2×C3×D5C2×C4⋊C4semidirect
271. C22×C3×C4C4×D5semidirect
315. C22×D5C4⋊Dic3semidirect
330. C2×C4×C5C22×Dic3semidirect
342. C2×Dic5C22×Dic3semidirect
365. C2×C3×C5#385semidirect
403. C2×C3×C4C2×C4×D5semidirect
442. C2×D5C2×C4⋊Dic3semidirect
484. C22×C4D5×Dic3semidirect
490. C3×C5C2×#385semidirect
519. C2×C5#4950semidirect
574. C2×C4C2×D5×Dic3semidirect
576. C2×C3#64957semidirect
584. C5C2×#4950semidirect
613. C3C2×#64957semidirect
615. C2#11748900direct (N × H)

Maximal subgroups

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

subgroupindex
C23×D5×Dic32
C22×C4⋊Dic152
C22×C3×#6852
C22×#66682
C22×#66652
C2×C5×C3⋊#952
C2×#909942
#117489002
C2×#649573
C2×#49505