Finite Group Databasebeta

← #34020501

Subgroups — #34020501

Order 18688.

1014 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989632C211yesmaximal, characteristic
2C2×#17989630C211yesmaximal, characteristic
3#22626503C211yesmaximal, characteristic, complemented
4#22626502C211yesmaximal, characteristic, complemented
5#22625751C211yesmaximal, characteristic, complemented
6#22625738C211yesmaximal, characteristic, complemented
7#22625735C211yesmaximal, characteristic, complemented
8#22625712C211yesmaximal, characteristic, complemented
9#22625710C211yesmaximal, characteristic, complemented
10#22625708C211yesmaximal, characteristic, complemented
11#22625706C211yesmaximal, characteristic, complemented
12C4×#14556656C211yesmaximal, characteristic, complemented
13C4×#14556655C211yesmaximal, characteristic, complemented
14#97×#64408C211yesmaximal, characteristic, complemented
15#22618726C211yesmaximal, characteristic
16C2×#14556679C2211yescharacteristic
17C2×#14556679C2211yescharacteristic
18C2×#14556678C2211yescharacteristic
19C2×#14556678C2211yescharacteristic
20#17989632C418yescomplemented
21#17989630C418yescomplemented
22C2×#14556662C2211yescharacteristic
23C2×#14556661C2211yescharacteristic
24C2×#14556656C2211yescharacteristic
25C2×#14556656C2211yescharacteristic
26C2×#14556655C2211yescharacteristic
27C2×#14556655C2211yescharacteristic
28#17989552—21no—
29#17989552—21no—
30#17989552C2211yescharacteristic
31#17989552C2211yescharacteristic
32#17989552C2211yescharacteristic
33#17989552C2211yescharacteristic
34#17989551—21no—
35#17989551—21no—
36C4×#11924038—21no—
37C4×#11924038C2211yescharacteristic
38C4×#11924038C2211yescharacteristic
39C4×#11924037—21no—
40#17989546—21no—
41#17989546C2211yescharacteristic
42C2×#14556646—21no—
43C2×#14556645C2211yescharacteristic
44C2×#14556645C2211yescharacteristic
45C2×C8×#64408C2211yescharacteristic
46C2×C8×#64408C2211yescharacteristic
47C42×#64408C2211yescharacteristic
48#17989463C2211yescharacteristic
49#17989463C2211yescharacteristic
50#17989457C2211yescharacteristic
51#17989457C2211yescharacteristic
52#17989457C2211yescharacteristic
53#17989457C2211yescharacteristic
54C2×#14556612C2211yescharacteristic
55C4×#11924029C2211yescharacteristic
56C4×#11924027C2211yescharacteristic
57#17988697C411yescharacteristic, complemented
58#17988696C411yescharacteristic, complemented
59#17988692C411yescharacteristic, complemented
60#17988691C411yescharacteristic, complemented
61#17988689C411yescharacteristic, complemented
62#17988688C411yescharacteristic, complemented
63#17988686C411yescharacteristic, complemented
64#17988624C2211yescharacteristic
65#17988582C2211yescharacteristic
66#17988580C2211yescharacteristic
67#97×D73C2211yescharacteristic
68#440×C73C411yescharacteristic, complemented
69#14556679—22no—
70#14556679—22no—
71#14556679C2×C414yescomplemented
72#14556679C2×C414yescomplemented
73#14556678—22no—
74#14556678—22no—
75#14556678C2×C414yescomplemented
76#14556678C2×C414yescomplemented
77C2×#11924038—21no—
78C2×#11924038—21no—
79C2×#11924038C2311yescharacteristic
80C2×#11924038C2311yescharacteristic
81C2×#11924038C2311yescharacteristic
82C2×#11924038C2311yescharacteristic
83C2×#11924037—21no—
84C2×#11924037—21no—
85C2×#11924036—21no—
86C2×#11924036—21no—
87C2×#11924036C2311yescharacteristic
88C2×#11924036C2311yescharacteristic
89C22×#10596833—21no—
90C22×#10596833—21no—
91C2×C4×#64408—21no—
92C2×C4×#64408—21no—
93C2×C4×#64408C2311yescharacteristic
94C2×C4×#64408C2311yescharacteristic
95#14556662C2×C414yescomplemented
96#14556661C2×C414yescomplemented
97#14556656C2×C414yescomplemented
98#14556656C2×C414yescomplemented
99#14556655C2×C414yescomplemented
100#14556655C2×C414yescomplemented
101#14556646—21no—
102#14556646—21no—
103#14556646—21no—
104#14556646—21no—
105#14556646—21no—
106#14556646—21no—
107#14556646D411yescharacteristic
108#14556646D411yescharacteristic
109#14556646D411yescharacteristic
110#14556646D411yescharacteristic
111#14556645—22no—
112#14556645C2×C414yescomplemented
113C4×#10596833—21no—
114C4×#10596833—21no—
115C4×#10596833—21no—
116C4×#10596833—21no—
117C4×#10596833—21no—
118C4×#10596833—21no—
119C8×#64408—22no—
120C8×#64408C2×C414yescomplemented
121C2×#11924029C2311yescharacteristic
122C2×#11924027C2311yescharacteristic
123#14556612C2×C414yes—
124#14556612C2×C414yes—
125C2×#11924018C2×C411yescharacteristic
126C2×#11924017C2×C411yescharacteristic
127C2×#11924013C2×C411yescharacteristic
128C2×C8×D73C2311yescharacteristic
129C2×C8×D73C2311yescharacteristic
130Q8×Dic73C2×C411yescharacteristic
131C4×Dic146C2×C411yescharacteristic
132#14556556C2×C411yescharacteristic
133C4×D292—21no—
134C4×D292C2×C411yescharacteristic
135D4×Dic73C2×C411yescharacteristic
136#14556553—21no—
137#14556553C2×C411yescharacteristic
138C4×C22⋊D73—21no—
139#14556551—21no—
140#14556549—21no—
141#14556549C2311yescharacteristic
142#14556549C2311yescharacteristic
143#14556547—21no—
144C2×C4×Dic73—21no—
145C42×D73—21no—
146C42×D73C2311yescharacteristic
147#14556525C2×C411yescharacteristic
148#14556522C2×C411yescharacteristic
149#14556522C2×C411yescharacteristic
150#14556516C2×C411yescharacteristic
151#14556515C2×C411yescharacteristic
152#14556514C2×C411yescharacteristic
153#14556513C2×C411yescharacteristic
154#14556512C2×C411yescharacteristic
155#14556511C2×C411yescharacteristic
156#14556502C2×C411yescharacteristic
157#14556501C2×C411yescharacteristic
158#14556501C2×C411yescharacteristic
159C2×SD16×C73C2×C411yescharacteristic
160C4×Q8×C73C2×C411yescharacteristic
161C4×D4×C73C2×C411yescharacteristic
162#107×C73C2×C411yescharacteristic
163#103×C73C2×C411yescharacteristic
164#102×C73C2×C411yescharacteristic
165#97×C73C2×C411yescharacteristic
166C22×#64408—21no—
167C22×#64408—21no—
168#11924038—21no—
169#11924038—21no—
170#11924038—21no—
171#11924038—21no—
172#11924038—24no—
173#11924038—24no—
174#11924038C22×C412yes—
175#11924038C22×C412yes—
176#11924038C22×C412yes—
177#11924038C22×C412yes—
178#11924037—24no—
179#11924037—24no—
180#11924036—24no—
181#11924036—24no—
182#11924036C22×C412yes—
183#11924036C22×C412yes—
184#11924036#4112yes—
185#11924036#4112yes—
186C2×#10596833—21no—
187C2×#10596833—21no—
188C2×#10596833—21no—
189C2×#10596833—21no—
190C2×#10596833—24no—
191C2×#10596833—24no—
192C2×#10596833C2×D411yescharacteristic
193C2×#10596833C2×D411yescharacteristic
194C2×#10596833C2×D411yescharacteristic
195C2×#10596833C2×D411yescharacteristic
196C4×#64408—21no—
197C4×#64408—21no—
198C4×#64408—42no—
199C4×#64408—42no—
200C4×#64408C22×C412yes—
201C4×#64408C22×C412yes—
202#11924029—21no—
203#11924029—21no—
204#11924029C22×C412yes—
205#11924029C22×C412yes—
206#11924027—21no—
207#11924027—21no—
208#11924027C22×C412yes—
209#11924027C22×C412yes—
210C2×Dic146C22×C411yescharacteristic
211C2×D292—21no—
212C2×D292C22×C411yescharacteristic
213C2×C22⋊D73—21no—
214C22×Dic73—21no—
215C22×Dic73—21no—
216C2×C4×D73—21no—
217C2×C4×D73—21no—
218C2×C4×D73—21no—
219C2×C4×D73#4111yescharacteristic
220C2×C4×D73#4111yescharacteristic
221C2×C4×D73C2411yescharacteristic
222#11924018C4214yescomplemented
223#11924017C4214yescomplemented
224#11924013C4214yescomplemented
225C2×#10596831C22×C411yescharacteristic
226C2×#10596831C22×C411yescharacteristic
227C8×D73—21no—
228C8×D73—21no—
229C8×D73C22×C412yes—
230C8×D73C22×C412yes—
231C4⋊Dic73—21no—
232C4⋊Dic73C22×C411yescharacteristic
233C4⋊Dic73C22×C411yescharacteristic
234#11924007—21no—
235#11924007—21no—
236C22⋊Dic73—21no—
237#11924005—21no—
238#11924005—21no—
239#11924005—21no—
240#11924005—21no—
241C4×Dic73—21no—
242C4×Dic73—21no—
243C4×Dic73—21no—
244C4×Dic73—21no—
245C4×Dic73—21no—
246C4×Dic73C22×C411yescharacteristic
247C4×Dic73C2×D411yescharacteristic
248C4×Dic73C2×D411yescharacteristic
249C2×Q8×C73C22×C411yescharacteristic
250C2×D4×C73C22×C411yescharacteristic
251C22×C4×C73—21no—
252SD16×C73C4214yescomplemented
253C2×C8×C73C22×C411yescharacteristic
254C2×C8×C73C22×C411yescharacteristic
255C4⋊C4×C73—21no—
256C4⋊C4×C73C22×C411yescharacteristic
257C4⋊C4×C73C22×C411yescharacteristic
258C22⋊C4×C73—21no—
259C42×C73—21no—
260C42×C73C22×C411yescharacteristic
261C23×C73—21no—
262C22×D73—21no—
263C22×D73C2×#4111yescharacteristic
264C2×#64408—22no—
265C2×#64408—22no—
266C2×#64408—22no—
267C2×#64408—22no—
268C2×#64408—41no—
269C2×#64408—41no—
270Q8×C73—21no—
271Q8×C73C2×C4212yes—
272D4×C73—21no—
273D4×C73C2×C4212yes—
274C2×C4×C73—21no—
275C2×C4×C73—21no—
276C2×C4×C73—21no—
277C2×C4×C73—81no—
278C2×C4×C73C4×D411yescharacteristic
279C2×C4×C73C4×D411yescharacteristic
280C2×C4×C73C23×C411yescharacteristic
281C22⋊D73—22no—
282C22⋊D73—22no—
283C2×Dic73—21no—
284C2×Dic73—22no—
285C2×Dic73—22no—
286C2×Dic73—21no—
287C2×Dic73—21no—
288C2×Dic73—81no—
289C2×Dic73C4×D411yescharacteristic
290C2×Dic73C4×D411yescharacteristic
291C2×Dic73C22×D411yescharacteristic
292D292—22no—
293D292—22no—
294D292—21no—
295D292C2×C4212yes—
296C4×D73—22no—
297C4×D73—22no—
298C4×D73—41no—
299C4×D73—41no—
300C4×D73—81no—
301C4×D73—81no—
302C4×D73C23×C411yescharacteristic
303C4×D73C23×C411yescharacteristic
304C4×D73C2×#4111yescharacteristic
305C4×D73C2×#4111yescharacteristic
306Dic146—21no—
307Dic146C2×C4212yes—
308#10596833—22no—
309#10596833—22no—
310#10596833—22no—
311#10596833—22no—
312#10596833C4×D412yes—
313#10596833C4×D412yes—
314#10596833C4×D412yes—
315#10596833C4×D412yes—
316C8×C73—21no—
317C8×C73C2×C4212yes—
318#10596831—21no—
319#10596831C2×C4212yes—
320C22×C73—22no—
321C22×C73—41no—
322C22×C73—41no—
323C22×C73C2×C4×D411yescharacteristic
324C2×D73—21no—
325C2×D73—21no—
326C2×D73—22no—
327C2×D73—41no—
328C2×D73—41no—
329C2×D73C4×#4111yescharacteristic
330C2×D73C4×#4111yescharacteristic
331#64408—24no—
332#64408—42no—
333C4×C73—21no—
334C4×C73—21no—
335C4×C73—22no—
336C4×C73—41no—
337C4×C73—41no—
338C4×C73C22×C4211yescharacteristic
339C4×C73C4×#4111yescharacteristic
340Dic73—21no—
341Dic73—21no—
342Dic73—22no—
343Dic73—41no—
344Dic73—41no—
345Dic73C2×C4×D411yescharacteristic
346Dic73C2×C4×D411yescharacteristic
347#20512—731nomaximal, Sylow
348C2×C73—42no—
349C2×C73C42×D411yescharacteristic
350C2×C73#295611yescharacteristic
351C2×C73#295611yescharacteristic
352D73—21no—
353D73—21no—
354D73—42no—
355C2×#444—731no—
356C2×#443—731no—
357#2943—731no—
358#2875—731no—
359#2875—731no—
360#1778—731no—
361#1773—731no—
362#1772—731no—
363#1765—731no—
364#1765—731no—
365#1764—731no—
366#1764—731no—
367C4×#104—731no—
368C4×#104—731no—
369C4×#97—731no—
370C73#2051211yescharacteristic, complemented, Sylow
371C2×#135—731no—
372C2×#131—731no—
373C2×#131—731no—
374C2×#131—731no—
375C2×#131—731no—
376C4×#41—731no—
377C4×#41—731no—
378#444—738no—
379#443—738no—
380#442—731no—
381#442—731no—
382#441—731no—
383#441—731no—
384#440—731no—
385#440—731no—
386#440—731no—
387#440#6440811yescharacteristic, complemented
388C2×#108—731no—
389C2×#108—731no—
390#427—731no—
391C2×#104—731no—
392C2×#104—731no—
393C2×#104—731no—
394C2×#104—731no—
395#416—731no—
396#416—731no—
397#405—731no—
398#405—731no—
399#405—731no—
400#405—731no—
401#405—1461no—
402#405—1461no—
403#405—1461no—
404#405—1461no—
405C4×M16—731no—
406C4×M16—731no—
407C4×M16—1461no—
408C4×M16—1461no—
409C2×#97—731no—
410C2×#97—731no—
411C2×#97—731no—
412C2×#97—731no—
413C2×#97—1461no—
414C2×#97—1461no—
415C2×C4×C8—731no—
416C2×C4×C8—731no—
417C43—731no—
418#341—731no—
419#341—731no—
420#339—731no—
421#339—731no—
422#339—731no—
423#339—731no—
424C2×#41—731no—
425C2×#41—731no—
426#135—734no—
427#135—734no—
428C2×Q16—731no—
429C2×SD16—731no—
430C2×SD16C2×#6440811yescharacteristic
431C2×D8—731no—
432#131—734no—
433#131—734no—
434#131—734no—
435#131—734no—
436#131—1462no—
437#131—1462no—
438#131—1462no—
439#131—1462no—
440C2×M16—731no—
441C2×M16—731no—
442C2×M16—731no—
443C2×M16—731no—
444C2×M16—1461no—
445C2×M16—1461no—
446C2×M16—1461no—
447C2×M16—1461no—
448C22×C8—731no—
449C22×C8—731no—
450C22×C8—731no—
451C22×C8—731no—
452C22×C8—1461no—
453C22×C8—1461no—
454C22×C8—1461no—
455C22×C8—1461no—
456C4×Q8—731no—
457C4×Q8—731no—
458C4×Q8—731no—
459C4×Q8C2×#6440811yescharacteristic
460C4×D4—731no—
461C4×D4—731no—
462C4×D4—731no—
463C4×D4—1461no—
464C4×D4—1461no—
465C4×D4—1461no—
466C4×D4—1461no—
467C4×D4C2×#6440811yescharacteristic
468#117—731no—
469#117—731no—
470#117—1461no—
471#117—1461no—
472C2×C42—731no—
473C2×C42—731no—
474C2×C42—731no—
475C2×C42—1461no—
476C2×C42—1461no—
477C2×C42—1461no—
478C2×C42—1461no—
479#108—734no—
480#108—734no—
481#107—731no—
482#107C2×#6440811yescharacteristic
483#106—731no—
484#106—731no—
485#104—734no—
486#104—734no—
487#104—734no—
488#104—734no—
489#103—731no—
490#103—731no—
491#103—731no—
492#103C2×#6440811yescharacteristic
493#102—731no—
494#102—731no—
495#102—731no—
496#102C2×#6440811yescharacteristic
497#97—731no—
498#97—731no—
499#97—731no—
500#97—731no—
501#97—734no—
502#97—731no—
503#97—731no—
504#97—731no—
505#97—1461no—
506#97—1461no—
507#97—1462no—
508#97—1461no—
509#97—1461no—
510#97—1461no—
511#97—1461no—
512#97C2×#6440811yescharacteristic
513C4×C8—734no—
514C4×C8—1461no—
515C4×C8—1461no—
516C4×C8—1462no—
517C4×C8—1461no—
518C4×C8—1461no—
519C4×C8—1461no—
520C4×C8—1461no—
521#41—732no—
522#41—732no—
523#41—732no—
524#41—732no—
525#41—1461no—
526#41—1461no—
527#41—1461no—
528#41—1461no—
529C2×Q8—731no—
530C2×Q8C22×#6440811yescharacteristic
531C2×D4—731no—
532C2×D4—1461no—
533C2×D4—1461no—
534C2×D4C22×#6440811yescharacteristic
535C22×C4—21no—
536C22×C4—731no—
537C22×C4—731no—
538C22×C4—731no—
539C22×C4—1461no—
540C22×C4—1461no—
541C22×C4—1461no—
542C22×C4—1461no—
543C22×C4—1461no—
544C22×C4—1461no—
545C22×C4—1461no—
546Q16—734no—
547SD16—734no—
548SD16C4×#6440814yescomplemented
549D8—734no—
550M16—732no—
551M16—732no—
552M16—732no—
553M16—732no—
554M16—1464no—
555M16—1464no—
556M16—1464no—
557M16—1464no—
558M16—1461no—
559M16—1461no—
560M16—1461no—
561M16—1461no—
562C2×C8—731no—
563C2×C8—731no—
564C2×C8—731no—
565C2×C8—731no—
566C2×C8—732no—
567C2×C8—732no—
568C2×C8—732no—
569C2×C8—732no—
570C2×C8—731no—
571C2×C8—732no—
572C2×C8—732no—
573C2×C8—731no—
574C2×C8—1461no—
575C2×C8—1461no—
576C2×C8—1464no—
577C2×C8—1464no—
578C2×C8—1464no—
579C2×C8—1464no—
580C2×C8—1461no—
581C2×C8—1461no—
582C2×C8—1461no—
583C2×C8—1461no—
584C2×C8C22×#6440811yescharacteristic
585C2×C8C22×#6440811yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—731no—
588C4⋊C4—731no—
589C4⋊C4—1461no—
590C4⋊C4—1461no—
591C4⋊C4—1461no—
592C4⋊C4C22×#6440811yescharacteristic
593C4⋊C4C22×#6440811yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—1461no—
596C22⋊C4—1461no—
597C22⋊C4—1461no—
598C22⋊C4—1461no—
599C22⋊C4—1461no—
600C42—21no—
601C42—2922no—
602C42—2922no—
603C42—731no—
604C42—731no—
605C42—731no—
606C42—732no—
607C42—732no—
608C42—1461no—
609C42—1461no—
610C42—1461no—
611C42—1461no—
612C42—1461no—
613C42—1461no—
614C42—1461no—
615C42C22×#6440811yescharacteristic
616C23—21no—
617C23—731no—
618C23—1461no—
619Q8—21no—
620Q8—732no—
621Q8—1461no—
622Q8C2×C4×#6440812yes—
623D4—21no—
624D4—732no—
625D4—1462no—
626D4—1462no—
627D4—1462no—
628D4—1462no—
629D4—1461no—
630D4C2×C4×#6440812yes—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—81no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—5841no—
640C2×C4—5841no—
641C2×C4—5841no—
642C2×C4—731no—
643C2×C4—731no—
644C2×C4—731no—
645C2×C4—731no—
646C2×C4—731no—
647C2×C4—731no—
648C2×C4—731no—
649C2×C4—1462no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1461no—
653C2×C4—1461no—
654C2×C4—1462no—
655C2×C4—1462no—
656C2×C4—1462no—
657C2×C4—1462no—
658C2×C4—1462no—
659C2×C4—1461no—
660C2×C4D4×#6440811yescharacteristic
661C2×C4D4×#6440811yescharacteristic
662C2×C4C23×#6440811yescharacteristic
663C8—21no—
664C8—732no—
665C8—732no—
666C8—732no—
667C8—732no—
668C8—732no—
669C8—1462no—
670C8—1462no—
671C8—1462no—
672C8—1462no—
673C8—1461no—
674C8C2×C4×#6440812yes—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—2921no—
679C22—2921no—
680C22—731no—
681C22—731no—
682C22—1462no—
683C22—1461no—
684C22—1461no—
685C22C2×D4×#6440811yescharacteristic
686C4—22no—
687C4—21no—
688C4—21no—
689C4—41no—
690C4—41no—
691C4—2922no—
692C4—2921no—
693C4—2921no—
694C4—731no—
695C4—731no—
696C4—1464no—
697C4—1462no—
698C4—1461no—
699C4—1461no—
700C4C22×C4×#6440811yescharacteristic
701C4#41×#6440811yescharacteristic
702C2—42no—
703C2—2922no—
704C2—1461no—
705C2—1461no—
706C2C4×D4×#6440811yescharacteristic
707C2#2262670511yescharacteristic
708C2#2262670611yescharacteristic
subgroupG/H
centerC22C2×D4×#64408
commutatorC4×C73C22×C42
FrattiniC2×C4C23×#64408
Fitting#440×C73C4
socleC22×C73C2×C4×D4
prime radicalC2×#14556612C22
cosocleC2×C4×D73C24
hypercenter#440#64408
hypocenterC73#20512
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C42 ◁ #440

Complements

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

NH ≅ G/Ntype
3. #22626503C2semidirect
4. #22626502C2semidirect
5. #22625751C2semidirect
6. #22625738C2semidirect
7. #22625735C2semidirect
8. #22625712C2semidirect
9. #22625710C2semidirect
10. #22625708C2semidirect
11. #22625706C2semidirect
12. C4×#14556656C2semidirect
13. C4×#14556655C2semidirect
14. #97×#64408C2semidirect
20. #17989632C4semidirect
21. #17989630C4semidirect
57. #17988697C4semidirect
58. #17988696C4semidirect
59. #17988692C4semidirect
60. #17988691C4semidirect
61. #17988689C4semidirect
62. #17988688C4semidirect
63. #17988686C4semidirect
68. #440×C73C4semidirect
71. #14556679C2×C4semidirect
72. #14556679C2×C4semidirect
75. #14556678C2×C4semidirect
76. #14556678C2×C4semidirect
95. #14556662C2×C4semidirect
96. #14556661C2×C4semidirect
97. #14556656C2×C4semidirect
98. #14556656C2×C4semidirect
99. #14556655C2×C4semidirect
100. #14556655C2×C4semidirect
112. #14556645C2×C4semidirect
120. C8×#64408C2×C4semidirect
222. #11924018C42semidirect
223. #11924017C42semidirect
224. #11924013C42semidirect
252. SD16×C73C42semidirect
370. C73#20512semidirect
387. #440#64408semidirect
548. SD16C4×#64408semidirect

Maximal subgroups

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

subgroupindex
C2×#179896322
C2×#179896302
#226265032
#226265022
#226257512
#226257382
#226257352
#226257122
#226257102
#226257082
#226257062
C4×#145566562
C4×#145566552
#97×#644082
#226187262
#2051273