Finite Group Databasebeta

← #29682706

Subgroups — #29682706

Order 15616.

1122 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839760C211yesmaximal, characteristic
2C2×#16839755C211yesmaximal, characteristic
3C2×#16839719C211yesmaximal, characteristic, complemented
4#21448434C211yesmaximal, characteristic, complemented
5#21448409C211yesmaximal, characteristic
6#21446513C211yesmaximal, characteristic, complemented
7#21446510C211yesmaximal, characteristic, complemented
8#21446509C211yesmaximal, characteristic, complemented
9#21446505C211yesmaximal, characteristic, complemented
10#21446504C211yesmaximal, characteristic, complemented
11#21446494C211yesmaximal, characteristic, complemented
12#21446493C211yesmaximal, characteristic, complemented
13#21445537C211yesmaximal, characteristic, complemented
14#340×D61C211yesmaximal, characteristic, complemented
15C61×#1936C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×#14519734C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23#16839760C418yescomplemented
24#16839755—24no—
25C2×#14519702C2211yescharacteristic
26C2×#14519702C2211yescharacteristic
27C2×#14519700C2211yescharacteristic
28C2×#14519700C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31#16839719—24no—
32C2×#14519687C2211yescharacteristic
33C2×C4×#92418C2211yescharacteristic
34C2×C8×Dic61C2211yescharacteristic
35#16839668C2211yescharacteristic
36#16839667C2211yescharacteristic
37#16839665C2211yescharacteristic
38#16839661C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839659—21no—
41#16839658C2211yescharacteristic
42#16839657—21no—
43#16839638—21no—
44#16839638—21no—
45#16839621—21no—
46#16839620—21no—
47#16839620—21no—
48#16839619—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#102×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C61×#390C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758224—22no—
63C2×#11758224—22no—
64C2×#11758224—22no—
65C2×#11758224—22no—
66C2×#11758224—22no—
67C2×#11758224C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×C22⋊D61—21no—
70C23×Dic61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61C2311yescharacteristic
74C2×#11758189—22no—
75C2×#11758189—22no—
76C2×#11758189C2×C414yes—
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79C2×C8×D61—22no—
80C2×C8×D61—22no—
81C2×C8×D61D414yes—
82#14519735—22no—
83#14519735—22no—
84#14519734—22no—
85#14519734—22no—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×#11758196—21no—
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196D411yescharacteristic
95C2×#11758196D411yescharacteristic
96C4⋊C4×D61—22no—
97C4⋊C4×D61—22no—
98C4⋊C4×D61—22no—
99C4⋊C4×D61C2×C414yes—
100C2×C22⋊Dic61—21no—
101C2×C22⋊Dic61—21no—
102C2×#11758198—21no—
103C2×#11758198D411yescharacteristic
104C2×#11758198D411yescharacteristic
105C2×C4×Dic61—21no—
106C2×C4×Dic61C2311yescharacteristic
107#14519702—22no—
108#14519702C2×C414yescomplemented
109#14519700—22no—
110#14519700C2×C414yescomplemented
111#14519698—22no—
112#14519698C2×C414yescomplemented
113#14519687—22no—
114C4×#92418—22no—
115C8×Dic61—22no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C2×C4⋊C4×C61—21no—
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#102×C61—22no—
134#102×C61C2×C414yescomplemented
135#97×C61—22no—
136#95×C61—21no—
137C24×C61—21no—
138C23×D61C2×D411yescharacteristic
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61C22×C412yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2411yescharacteristic
151C2×C22⋊D61—24no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61—24no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—42no—
160C22×Dic61—42no—
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164#11758224—28no—
165#11758224—28no—
166#11758224—44no—
167#11758224—44no—
168C2×C4×D61—24no—
169C2×C4×D61—42no—
170C2×C4×D61—81no—
171C2×C4×D61—81no—
172C2×C4×D61—81no—
173C2×C4×D61—81no—
174C2×C4×D61C22×C412yes—
175C2×C4×D61C2×D412yes—
176C2×C4×D61#4112yes—
177C2×C4×D61#4112yes—
178C2×C4×D61#4112yes—
179C2×C4×D61#4112yes—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122C22×C412yes—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61C22×C412yes—
191C2×C8×C61C2×D412yes—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—81no—
198C4⋊C4×C61C22×C412yes—
199C22⋊C4×C61—81no—
200C22⋊C4×C61—81no—
201C42×C61—21no—
202C42×C61—21no—
203C22⋊Dic61—81no—
204C22⋊Dic61—81no—
205#11758198—22no—
206#11758198—22no—
207#11758198—42no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—81no—
214C4⋊Dic61C22×C412yes—
215#11758196—24no—
216#11758196—22no—
217#11758196—22no—
218#11758196—42no—
219#11758196—81no—
220#11758196—81no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—42no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C22×C412yes—
229C2×#92418C2×D412yes—
230#11758189—28no—
231C8×D61—28no—
232C23×C61—22no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61C22×D411yescharacteristic
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61C4×D412yes—
245C22×D61#12112yes—
246C22×D61#12412yes—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61—41no—
250D4×C61—41no—
251C2×C4×C61—22no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61C23×C411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C22⋊D61—48no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—48no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61C4×D412yes—
293C2×Dic61#12112yes—
294C2×Dic61#12412yes—
295C4×D61—84no—
296C4×D61—84no—
297C4×D61#11714yes—
298C4×D61C4×D414yes—
299C4×D61#12314yes—
300C4×D61#12614yes—
301Dic122—22no—
302Dic122—22no—
303Dic122—41no—
304Dic122—41no—
305C8×C61—22no—
306C8×C61—22no—
307#92418—22no—
308#92418—22no—
309#21092—611nomaximal, Sylow
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61C2×C4×D411yescharacteristic
318C22×C61C2×#12111yescharacteristic
319C22×C61C2×#12411yescharacteristic
320C22×C61#57611yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57711yescharacteristic
323C22×C61#57811yescharacteristic
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61#38814yes—
331C4×C61—42no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61—81no—
335C4×C61—81no—
336C4×C61C2×#11711yescharacteristic
337C4×C61C2×C4×D411yescharacteristic
338C4×C61C2×#12311yescharacteristic
339C4×C61C2×#12611yescharacteristic
340Dic61—42no—
341Dic61—42no—
342Dic61—41no—
343Dic61—41no—
344Dic61—81no—
345Dic61—81no—
346Dic61#38814yes—
347C2×#417—611no—
348C2×#416—611no—
349C2×#405—611no—
350#2316—611no—
351#2311—611no—
352#1936—611no—
353#1936D6111yescharacteristic, complemented
354#1935—611no—
355#1935—611no—
356#1934—611no—
357#1934—611no—
358#1933—611no—
359#1933—611no—
360#1736—611no—
361C2×#340—611no—
362C2×C61—82no—
363C2×C61C2×#38811yescharacteristic
364C2×C61#294611yescharacteristic
365C2×C61#294711yescharacteristic
366C2×C61#306011yescharacteristic
367C2×C61#306111yescharacteristic
368C2×C61#313611yescharacteristic
369C2×C61#313711yescharacteristic
370D61—24no—
371C22×#41—611no—
372C22×M16—611no—
373C23×C8—611no—
374C2×#117—611no—
375C2×#117—611no—
376C22×C4⋊C4—611no—
377C22×C4⋊C4—611no—
378#417—618no—
379#416—1224no—
380C2×#103—611no—
381C2×#103—611no—
382C2×#103—611no—
383C2×#103—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102C2×D6111yescharacteristic
387C2×#102C2×D6111yescharacteristic
388#405—1224no—
389C2×#97—611no—
390C2×#97C2×D6111yescharacteristic
391C2×C4×C8—611no—
392C2×C4×C8—611no—
393#391—611no—
394#391—611no—
395#390—611no—
396#390C2×D6111yescharacteristic
397#389—611no—
398#389—611no—
399#389—611no—
400#389—1221no—
401#389—1221no—
402#389C2×D6111yescharacteristic
403#386—1221no—
404#386—1221no—
405#380—1221no—
406#380—1221no—
407#380—1221no—
408#380—1221no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417C61#2109211yescharacteristic, complemented, Sylow
418C2×#41—614no—
419C2×#41—1222no—
420C2×#41—1222no—
421C2×#41—1222no—
422C2×#41—1222no—
423C2×#41—1222no—
424C22×Q8—611no—
425C22×D4—1221no—
426C22×D4C22×D6111yescharacteristic
427C23×C4—611no—
428C23×C4—1221no—
429C23×C4—1221no—
430C23×C4—1221no—
431C2×M16—614no—
432C2×M16—1222no—
433C2×M16—1222no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—614no—
437C22×C8—1222no—
438C22×C8—1222no—
439C22×C8C22×D6111yescharacteristic
440C22×C8C22×D6111yescharacteristic
441#117—1222no—
442#117—1222no—
443#117—1222no—
444#117—1222no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—614no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C42—611no—
471C2×C42—1221no—
472C2×C42C22×D6111yescharacteristic
473#103—614no—
474#103—614no—
475#103—1222no—
476#103—1222no—
477#102—22no—
478#102—614no—
479#102—1222no—
480#102C4×D6114yescomplemented
481#97—22no—
482#97—1222no—
483C4×C8—1222no—
484C4×C8—1222no—
485#95—21no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493C24—21no—
494C24—611no—
495#41—1228no—
496#41—1228no—
497#41—2444no—
498#41—2444no—
499C2×Q8—612no—
500C2×Q8—1221no—
501C2×Q8—1221no—
502C2×Q8—1221no—
503C2×Q8—1221no—
504C2×Q8—1221no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—1224no—
511C2×D4—2442no—
512C2×D4—2442no—
513C2×D4C2×C4×D6112yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—611no—
518C22×C4—612no—
519C22×C4—612no—
520C22×C4—612no—
521C22×C4—612no—
522C22×C4—612no—
523C22×C4—612no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—1224no—
527C22×C4—1224no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—4881no—
533C22×C4—4881no—
534C22×C4—4881no—
535C22×C4—4881no—
536C22×C4—2442no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4D4×D6111yescharacteristic
540C22×C4D4×D6111yescharacteristic
541C22×C4C23×D6111yescharacteristic
542M16—1228no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—612no—
548C2×C8—612no—
549C2×C8—1228no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8C2×C4×D6112yes—
555C2×C8D4×D6112yes—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—81no—
562C4⋊C4—612no—
563C4⋊C4—1224no—
564C4⋊C4—1222no—
565C4⋊C4—1222no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—4881no—
572C4⋊C4—4881no—
573C4⋊C4—4881no—
574C4⋊C4—2442no—
575C4⋊C4C2×C4×D6112yes—
576C22⋊C4—81no—
577C22⋊C4—81no—
578C22⋊C4—1222no—
579C22⋊C4—1222no—
580C22⋊C4—4881no—
581C22⋊C4—4881no—
582C22⋊C4—2442no—
583C42—21no—
584C42—21no—
585C42—1221no—
586C42—1221no—
587C42—2442no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—612no—
596C23—612no—
597C23—612no—
598C23—1221no—
599C23—1221no—
600C23—1221no—
601C23—1221no—
602C23C2×D4×D6111yescharacteristic
603Q8—1222no—
604Q8—1222no—
605Q8—2441no—
606Q8—2441no—
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—2448no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—612no—
628C2×C4—612no—
629C2×C4—612no—
630C2×C4—614no—
631C2×C4—614no—
632C2×C4—614no—
633C2×C4—614no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—4884no—
643C2×C4—4884no—
644C2×C4—2448no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4C22×C4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4#41×D6111yescharacteristic
659C2×C4#41×D6111yescharacteristic
660C2×C4#41×D6111yescharacteristic
661C8—22no—
662C8—22no—
663C8—1222no—
664C8—1222no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—614no—
673C22—1222no—
674C22—1222no—
675C22—1222no—
676C22—1222no—
677C22—1222no—
678C22—1222no—
679C22C4×D4×D6111yescharacteristic
680C22#121×D6111yescharacteristic
681C22#124×D6111yescharacteristic
682C22#1684056611yescharacteristic
683C22#1684057211yescharacteristic
684C22#1684057211yescharacteristic
685C22#1684057811yescharacteristic
686C4—42no—
687C4—41no—
688C4—41no—
689C4—81no—
690C4—81no—
691C4—614no—
692C4—4881no—
693C4—4881no—
694C4—2442no—
695C4—2442no—
696C4—2441no—
697C4—2441no—
698C4#117×D6111yescharacteristic
699C4C4×D4×D6111yescharacteristic
700C4#123×D6111yescharacteristic
701C4#126×D6111yescharacteristic
702C2—82no—
703C2—1224no—
704C2#388×D6111yescharacteristic
705C2#2145464811yescharacteristic
706C2#2145465911yescharacteristic
707C2#2145547911yescharacteristic
708C2#2145548711yescharacteristic
709C2#2145617411yescharacteristic
710C2#2145618111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1936C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
cosocleC22×C4×C61C24
hypercenter#1936D61
hypocenterC61#21092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1936

Complements

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

NH ≅ G/Ntype
3. C2×#16839719C2semidirect
4. #21448434C2semidirect
6. #21446513C2semidirect
7. #21446510C2semidirect
8. #21446509C2semidirect
9. #21446505C2semidirect
10. #21446504C2semidirect
11. #21446494C2semidirect
12. #21446493C2semidirect
13. #21445537C2semidirect
14. #340×D61C2semidirect
15. C61×#1936C2semidirect
23. #16839760C4semidirect
108. #14519702C2×C4semidirect
110. #14519700C2×C4semidirect
112. #14519698C2×C4semidirect
134. #102×C61C2×C4semidirect
353. #1936D61semidirect
417. C61#21092semidirect
480. #102C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168397602
C2×#168397552
C2×#168397192
#214484342
#214484092
#214465132
#214465102
#214465092
#214465052
#214465042
#214464942
#214464932
#214455372
#340×D612
C61×#19362
#2109261