Finite Group Databasebeta

← #30617350

Subgroups — #30617350

Order 15616.

974 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840811C211yesmaximal, characteristic, complemented
2C2×#16840789C211yesmaximal, characteristic
3#21461990C211yesmaximal, characteristic, complemented
4#21461942C211yesmaximal, characteristic
5#21461891C211yesmaximal, characteristic, complemented
6#21461890C211yesmaximal, characteristic, complemented
7#21461889C211yesmaximal, characteristic, complemented
8#21461888C211yesmaximal, characteristic, complemented
9#21461735C211yesmaximal, characteristic, complemented
10#21461553C211yesmaximal, characteristic, complemented
11#21461553C211yesmaximal, characteristic, complemented
12C22⋊C4×#92420C211yesmaximal, characteristic, complemented
13C22⋊C4×#92420C211yesmaximal, characteristic, complemented
14C42×#92420C211yesmaximal, characteristic, complemented
15#21448360C211yesmaximal, characteristic
16C22×D61⋊C8C2211yescharacteristic
17C23×#92420C2211yescharacteristic
18#16840811—24no—
19#16840789—24no—
20C2×#14519844C2211yescharacteristic
21C2×#14519844C2211yescharacteristic
22C2×#14519844C2211yescharacteristic
23C2×C4⋊#92420C2211yescharacteristic
24C2×#14519834C2211yescharacteristic
25C2×#14519834C2211yescharacteristic
26C2×#14519834C2211yescharacteristic
27C2×C22⋊#92420C2211yescharacteristic
28C2×C22⋊#92420C2211yescharacteristic
29C2×C22⋊#92420C2211yescharacteristic
30C2×C4×#92420C2211yescharacteristic
31C2×C4×#92420C2211yescharacteristic
32C2×C4×#92420C2211yescharacteristic
33C2×C4×#92420C2211yescharacteristic
34C2×C4×#92420C2211yescharacteristic
35C2×C4×#92420C2211yescharacteristic
36C2×C4×#92420C2211yescharacteristic
37C2×C4×#92420C2211yescharacteristic
38#16840628C2211yescharacteristic
39#16840628C2211yescharacteristic
40#16840628C2211yescharacteristic
41#16840628C2211yescharacteristic
42#16840628C2211yescharacteristic
43#16840628C2211yescharacteristic
44#16840628C2211yescharacteristic
45#16840628C2211yescharacteristic
46C2×#14519763C411yescharacteristic
47C2×#14519742C2211yescharacteristic
48C2×#14519737C2211yescharacteristic
49#16839666C411yescharacteristic
50#16839662C411yescharacteristic
51#16839656C411yescharacteristic
52#16839653C411yescharacteristic
53#16839652C411yescharacteristic
54#16839626C411yescharacteristic
55C22⋊C4×Dic61C2211yescharacteristic
56C22⋊C4×Dic61C2211yescharacteristic
57#16839609C2211yescharacteristic
58#16839609C2211yescharacteristic
59C42×Dic61C2211yescharacteristic
60C61×#388C411yescharacteristic
61C2×D61⋊C8—22no—
62C2×D61⋊C8—22no—
63C2×D61⋊C8—22no—
64C22×#92420—22no—
65C22×#92420—22no—
66C22×#92420—22no—
67C22×#92420C2311yescharacteristic
68C22×#92420C2311yescharacteristic
69C22×#92420C2311yescharacteristic
70C22×#92420C2311yescharacteristic
71C22×#92420C2311yescharacteristic
72C22×#92420C2311yescharacteristic
73C22×#92420C2311yescharacteristic
74C22×#92420C2311yescharacteristic
75#14519844—22no—
76#14519844—22no—
77#14519844—22no—
78C4⋊#92420—22no—
79#14519834—22no—
80#14519834—22no—
81#14519834—22no—
82C22⋊#92420—22no—
83C22⋊#92420—22no—
84C22⋊#92420—22no—
85C4×#92420—22no—
86C4×#92420—22no—
87C4×#92420—22no—
88C4×#92420—22no—
89C4×#92420—22no—
90C4×#92420—22no—
91C4×#92420—22no—
92C4×#92420D414yes—
93C22×Dic122C2×C411yescharacteristic
94C22×C22⋊D61C2×C411yescharacteristic
95C23×Dic61C2311yescharacteristic
96C22×C4×D61C2311yescharacteristic
97#14519763C818yescomplemented
98#14519742—22no—
99#14519742—22no—
100#14519737—22no—
101#14519737—22no—
102C2×#11758196C2×C411yescharacteristic
103C2×#11758196C2×C411yescharacteristic
104C2×#11758196C2×C411yescharacteristic
105C2×C22⋊Dic61C2×C411yescharacteristic
106C2×C22⋊Dic61C2×C411yescharacteristic
107C2×#11758198C2×C411yescharacteristic
108C2×#11758198C2×C411yescharacteristic
109C2×#11758198C2×C411yescharacteristic
110C2×#11758198C2×C411yescharacteristic
111C2×#11758198C2×C411yescharacteristic
112C2×C4×Dic61C2×C411yescharacteristic
113C2×C4×Dic61C2×C411yescharacteristic
114C2×C4×Dic61C2×C411yescharacteristic
115C2×C4×Dic61C2311yescharacteristic
116C2×C4×Dic61C2311yescharacteristic
117C2×C4×Dic61C2311yescharacteristic
118C2×C4×Dic61C2311yescharacteristic
119C2×C4×Dic61C2311yescharacteristic
120#14519684C2×C411yescharacteristic
121#14519684C2×C411yescharacteristic
122#14519684C2×C411yescharacteristic
123#14519684C2×C411yescharacteristic
124#14519684C2×C411yescharacteristic
125#14519684C2×C411yescharacteristic
126C2×C4⋊C4×C61C2×C411yescharacteristic
127C2×C22⋊C4×C61C2×C411yescharacteristic
128C2×C22⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61C2×C411yescharacteristic
130C2×C42×C61C2×C411yescharacteristic
131#95×C61C2×C411yescharacteristic
132#95×C61C2×C411yescharacteristic
133C24×C61C22×C411yescharacteristic
134C23×D61C22×C411yescharacteristic
135C22×C4×C61C22×C411yescharacteristic
136C22×C4×C61C22×C411yescharacteristic
137C22×C4×C61C22×C411yescharacteristic
138C22×C4×C61C22×C411yescharacteristic
139C22×C4×C61C22×C411yescharacteristic
140C22×C4×C61C22×C411yescharacteristic
141C2×C22⋊D61—22no—
142C2×C22⋊D61—22no—
143C2×C22⋊D61C2×C814yes—
144C22×Dic61—21no—
145C22×Dic61—21no—
146C22×Dic61—21no—
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61C22×C411yescharacteristic
151C22×Dic61C22×C411yescharacteristic
152C22×Dic61C22×C411yescharacteristic
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C2411yescharacteristic
157C2×C4×D61—21no—
158C2×C4×D61—21no—
159C2×C4×D61—21no—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×Dic122—22no—
164C2×Dic122—22no—
165C2×Dic122C2×C814yescomplemented
166C2×#92420—21no—
167C2×#92420—21no—
168C2×#92420—21no—
169C2×#92420—21no—
170C2×#92420—21no—
171C2×#92420—21no—
172C2×#92420—21no—
173C2×#92420—21no—
174C2×#92420—21no—
175C2×#92420—21no—
176C2×#92420—21no—
177C2×#92420—21no—
178C2×#92420—21no—
179C2×#92420—21no—
180C2×#92420—21no—
181C2×#92420—21no—
182C2×#92420—21no—
183C2×#92420—21no—
184C2×#92420—44no—
185C2×#92420C2×D412yes—
186C2×#92420C2×D412yes—
187C2×#92420#4112yes—
188C2×#92420#4112yes—
189C2×#92420#4112yes—
190C2×#92420#4112yes—
191D61⋊C8—44no—
192C4⋊C4×C61—22no—
193C22⋊C4×C61—22no—
194C22⋊C4×C61—22no—
195C22⋊C4×C61C2×C814yescomplemented
196C42×C61—22no—
197C22⋊Dic61—22no—
198C22⋊Dic61C2×C814yescomplemented
199#11758198—22no—
200#11758198—22no—
201#11758198—22no—
202#11758198C2×C814yescomplemented
203#11758198C2×C814yescomplemented
204#11758196—22no—
205#11758196—22no—
206#11758196—22no—
207C4×Dic61—22no—
208C4×Dic61—22no—
209C4×Dic61—21no—
210C4×Dic61—21no—
211C4×Dic61—21no—
212C4×Dic61—21no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C4×Dic61C2×C814yescomplemented
218C4×Dic61C2×D412yes—
219C4×Dic61#4112yes—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61C22×C812yes—
227C23×C61C23×C411yescharacteristic
228C22×D61—21no—
229C22×D61—21no—
230C22×D61—21no—
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61C22×C812yes—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61C4×D412yes—
250C2×C4×C61C22×C812yes—
251C2×C4×C61C22×C812yes—
252C2×C4×C61#13112yes—
253C22⋊D61—28no—
254C2×Dic61—21no—
255C2×Dic61—21no—
256C2×Dic61—21no—
257C2×Dic61—21no—
258C2×Dic61—21no—
259C2×Dic61—21no—
260C2×Dic61—21no—
261C2×Dic61—21no—
262C2×Dic61—21no—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
266C2×Dic61—41no—
267C2×Dic61—41no—
268C2×Dic61—41no—
269C2×Dic61—41no—
270C2×Dic61C4×D412yes—
271C2×Dic61C22×C812yes—
272C2×Dic61C22×C812yes—
273C2×Dic61C22×C812yes—
274C2×Dic61#13112yes—
275C2×Dic61#13112yes—
276C2×Dic61C22×D411yescharacteristic
277C2×Dic61C2×#4111yescharacteristic
278C2×Dic61C2×#4111yescharacteristic
279C2×Dic61C2×#4111yescharacteristic
280C2×Dic61C2×#4111yescharacteristic
281C2×Dic61C2×#4111yescharacteristic
282C4×D61—41no—
283C4×D61—41no—
284C4×D61—41no—
285C4×D61—41no—
286Dic122—28no—
287#92420—22no—
288#92420—22no—
289#92420—22no—
290#92420—41no—
291#92420—41no—
292#92420—41no—
293#92420—41no—
294#92420#12414yescomplemented
295C8×#124—611nomaximal, Sylow
296C22×C61—22no—
297C22×C61—22no—
298C22×C61—22no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61C2×C4×D411yescharacteristic
304C22×C61C4×#4111yescharacteristic
305C22×C61C4×#4111yescharacteristic
306C22×C61C23×C811yescharacteristic
307C22×C61C2×#13111yescharacteristic
308C22×C61C2×#13111yescharacteristic
309C22×C61C2×#13111yescharacteristic
310C2×D61—22no—
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—41no—
314C2×D61—41no—
315C2×D61—41no—
316C2×D61—41no—
317C4×C61—22no—
318C4×C61—22no—
319C4×C61—22no—
320C4×C61—22no—
321C4×C61—41no—
322C4×C61—41no—
323Dic61—22no—
324Dic61—22no—
325Dic61—22no—
326Dic61—41no—
327Dic61—41no—
328Dic61C8×D414yes—
329Dic61C2×#12411yescharacteristic
330Dic61#52911yescharacteristic
331Dic61#52911yescharacteristic
332Dic61#53211yescharacteristic
333C2×C8×Q8—611no—
334C2×C8×D4—611no—
335C4×#124—611no—
336#1984—611no—
337#1954—611no—
338#1923—611no—
339#1923—611no—
340#1923—611no—
341#1923—611no—
342#1831—611no—
343C8×C22⋊C4—611no—
344C8×C22⋊C4—611no—
345C8×C22⋊C4—611no—
346C8×C22⋊C4—611no—
347C42×C8—611no—
348C2×C61—42no—
349C2×C61C4×#12411yescharacteristic
350C2×C61C2×C8×D411yescharacteristic
351C2×C61#293111yescharacteristic
352C2×C61C8×#4111yescharacteristic
353C2×C61C8×#4111yescharacteristic
354C2×C61#296611yescharacteristic
355C2×C61#296611yescharacteristic
356D61—42no—
357C23×C8—611no—
358C23×C8—611no—
359C2×#124—611no—
360C2×C4×Q8—611no—
361C2×C4×D4—611no—
362C8×Q8—1224no—
363C8×D4—1224no—
364C2×C4⋊C8—611no—
365C2×C4⋊C8—611no—
366C2×C4⋊C8—611no—
367C2×C4⋊C8—611no—
368C2×C22⋊C8—611no—
369C2×C22⋊C8—611no—
370C2×C22⋊C8—611no—
371C2×C22⋊C8—611no—
372C2×C22⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×C4×C8—611no—
375C2×C4×C8—611no—
376C2×C4×C8—611no—
377C2×C4×C8—611no—
378C2×C4×C8—611no—
379C2×C4×C8—611no—
380C2×C4×C8—611no—
381C2×C4×C8—611no—
382#391—611no—
383#390—611no—
384#388—611no—
385#388—611no—
386#388—611no—
387#388#692311yescharacteristic
388#382—611no—
389C4×C22⋊C4—611no—
390C4×C22⋊C4—611no—
391C4×C22⋊C4—611no—
392C4×C22⋊C4—611no—
393C43—611no—
394#336—611no—
395#336—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402C61C8×#12411yescharacteristic, complemented, Sylow
403C22×Q8—611no—
404C22×D4—611no—
405C23×C4—611no—
406C23×C4—611no—
407C22×C8—611no—
408C22×C8—611no—
409C22×C8—611no—
410C22×C8—611no—
411C22×C8—611no—
412C22×C8—611no—
413C22×C8—611no—
414C22×C8—611no—
415C22×C8—1222no—
416C22×C8—1222no—
417C22×C8—1222no—
418C22×C8—1222no—
419C22×C8—1222no—
420C22×C8—1222no—
421#124—618no—
422C4×Q8—1222no—
423C4×Q8—1222no—
424C4×D4—1222no—
425C4×D4—1222no—
426C2×C4⋊C4—611no—
427C2×C4⋊C4—611no—
428C2×C4⋊C4—611no—
429C2×C4⋊C4C2×#692311yescharacteristic
430C2×C22⋊C4—611no—
431C2×C22⋊C4—611no—
432C2×C22⋊C4—611no—
433C2×C22⋊C4—611no—
434C2×C22⋊C4—611no—
435C2×C22⋊C4—611no—
436C2×C22⋊C4—611no—
437C2×C22⋊C4C2×#692311yescharacteristic
438C2×C22⋊C4C2×#692311yescharacteristic
439C2×C22⋊C4C2×#692311yescharacteristic
440C2×C42—611no—
441C2×C42—611no—
442C2×C42—611no—
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42C2×#692311yescharacteristic
449C4⋊C8—1222no—
450C4⋊C8—1222no—
451C4⋊C8—1222no—
452C4⋊C8—1222no—
453C22⋊C8—1222no—
454C22⋊C8—1222no—
455C22⋊C8—1222no—
456C22⋊C8—1222no—
457C22⋊C8—1222no—
458C22⋊C8—1222no—
459C4×C8—614no—
460C4×C8—1222no—
461C4×C8—1222no—
462C4×C8—1222no—
463C4×C8—1222no—
464C4×C8—1222no—
465C4×C8—1222no—
466C4×C8—1222no—
467#95—611no—
468#95—611no—
469#95—611no—
470#95—611no—
471#95—611no—
472#95—611no—
473#95C2×#692311yescharacteristic
474#95C2×#692311yescharacteristic
475C24—611no—
476C24C22×#692311yescharacteristic
477C2×Q8—614no—
478C2×Q8—1222no—
479C2×Q8—1222no—
480C2×D4—614no—
481C2×D4—1222no—
482C2×D4—1222no—
483C22×C4—611no—
484C22×C4—611no—
485C22×C4—611no—
486C22×C4—611no—
487C22×C4—611no—
488C22×C4—611no—
489C22×C4—611no—
490C22×C4—1221no—
491C22×C4—1221no—
492C22×C4—1221no—
493C22×C4—1221no—
494C22×C4—1221no—
495C22×C4—1221no—
496C22×C4—1221no—
497C22×C4—1221no—
498C22×C4—1221no—
499C22×C4—1221no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4C22×#692311yescharacteristic
503C22×C4C22×#692311yescharacteristic
504C22×C4C22×#692311yescharacteristic
505C22×C4C22×#692311yescharacteristic
506C22×C4C22×#692311yescharacteristic
507C22×C4C22×#692311yescharacteristic
508C2×C8—612no—
509C2×C8—612no—
510C2×C8—612no—
511C2×C8—612no—
512C2×C8—612no—
513C2×C8—612no—
514C2×C8—1221no—
515C2×C8—1221no—
516C2×C8—1221no—
517C2×C8—1221no—
518C2×C8—1221no—
519C2×C8—1221no—
520C2×C8—1221no—
521C2×C8—1221no—
522C2×C8—1221no—
523C2×C8—1221no—
524C2×C8—1221no—
525C2×C8—1221no—
526C2×C8—1221no—
527C2×C8—1221no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—2444no—
533C2×C8—2444no—
534C4⋊C4—22no—
535C4⋊C4—1222no—
536C4⋊C4—1222no—
537C4⋊C4—1222no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—614no—
541C22⋊C4—614no—
542C22⋊C4—614no—
543C22⋊C4—1222no—
544C22⋊C4—1222no—
545C22⋊C4—1222no—
546C22⋊C4—1222no—
547C22⋊C4D61⋊C814yescomplemented
548C42—22no—
549C42—612no—
550C42—612no—
551C42—614no—
552C42—1221no—
553C42—1221no—
554C42—1221no—
555C42—1221no—
556C42—1221no—
557C42—1221no—
558C42—1222no—
559C42—1222no—
560C42—1221no—
561C42—1221no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—612no—
569C23—1221no—
570C23—1221no—
571C23—1221no—
572C23—1221no—
573C23—1221no—
574C23—1221no—
575C23C2×D61⋊C812yes—
576C23C23×#692311yescharacteristic
577Q8—1228no—
578D4—1228no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—612no—
594C2×C4—611no—
595C2×C4—611no—
596C2×C4—611no—
597C2×C4—611no—
598C2×C4—611no—
599C2×C4—611no—
600C2×C4—612no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—2441no—
618C2×C4—2441no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4D4×#692312yes—
626C2×C4C2×D61⋊C812yes—
627C2×C4C2×D61⋊C812yes—
628C2×C4#1451986412yes—
629C8—614no—
630C8—1222no—
631C8—1222no—
632C8—1222no—
633C8—2441no—
634C8—2441no—
635C8—2441no—
636C8—2441no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—1222no—
645C22—1222no—
646C22—1222no—
647C22—2441no—
648C22—2441no—
649C22—2441no—
650C22—2441no—
651C22C2×D4×#692311yescharacteristic
652C22#41×#692311yescharacteristic
653C22#41×#692311yescharacteristic
654C22C22×D61⋊C811yescharacteristic
655C22C2×#1451986411yescharacteristic
656C22D61⋊#13111yescharacteristic
657C22D61⋊#13111yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—22no—
662C4—41no—
663C4—41no—
664C4—611no—
665C4—611no—
666C4—611no—
667C4—611no—
668C4—614no—
669C4—1222no—
670C4—1222no—
671C4—1222no—
672C4—2441no—
673C4—2441no—
674C2—42no—
675C2—2442no—
676C2#124×#692311yescharacteristic
677C2D4×D61⋊C811yescharacteristic
678C2#2146254211yescharacteristic
679C2#2146262311yescharacteristic
680C2#2146262411yescharacteristic
681C2#2146263411yescharacteristic
682C2#2146263711yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6923
commutatorC22×C61C23×C8
FittingC61×#388C4
socleC23×C61C23×C4
prime radicalC22×C22⋊D61C2×C4
cosocleC22×Dic61C24
hypercenter#388#6923
hypocenterC61C8×#124
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #388

Complements

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

NH ≅ G/Ntype
1. C2×#16840811C2semidirect
3. #21461990C2semidirect
5. #21461891C2semidirect
6. #21461890C2semidirect
7. #21461889C2semidirect
8. #21461888C2semidirect
9. #21461735C2semidirect
10. #21461553C2semidirect
11. #21461553C2semidirect
12. C22⋊C4×#92420C2semidirect
13. C22⋊C4×#92420C2semidirect
14. C42×#92420C2semidirect
97. #14519763C8semidirect
165. C2×Dic122C2×C8semidirect
195. C22⋊C4×C61C2×C8semidirect
198. C22⋊Dic61C2×C8semidirect
202. #11758198C2×C8semidirect
203. #11758198C2×C8semidirect
217. C4×Dic61C2×C8semidirect
294. #92420#124semidirect
402. C61C8×#124semidirect
547. C22⋊C4D61⋊C8semidirect

Maximal subgroups

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

subgroupindex
C2×#168408112
C2×#168407892
#214619902
#214619422
#214618912
#214618902
#214618892
#214618882
#214617352
#214615532
C22⋊C4×#924202
C42×#924202
#214483602
C8×#12461