Finite Group Databasebeta

← #14424736

Subgroups — #14424736

Order 1920.

1528 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#92017C211yesmaximal, characteristic, complemented
2C2×C5×#904C211yesmaximal, characteristic, complemented
3#11754603C211yesmaximal, characteristic, complemented
4C2×#91298C211yesmaximal, characteristic, complemented
5#11751211C211yesmaximal, characteristic, complemented
6C2×C3×#3953C211yesmaximal, characteristic, complemented
7#11748384C211yesmaximal, characteristic, complemented
8#11748154C212yesmaximal, complemented
9#11748153C212yesmaximal, complemented
10#11748119C212yesmaximal, complemented
11#11748118C212yesmaximal, complemented
12#10615643—31nomaximal, Hall
13C2×#6817C2211yescharacteristic
14C2×C5×#235C2211yescharacteristic
15C2×C5×#235C2211yescharacteristic, complemented
16C22×C3×D20C2211yescharacteristic
17C2×D5×#67—22no—
18#92017—24no—
19#92017—24no—
20C2×#6777C2212yes—
21C2×D3×D20—21no—
22C2×#6766C2212yes—
23C2×#6765—21no—
24C22×C3×C5×C8C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C2×C5×Dic12C2211yescharacteristic, complemented
27C5×#904—24no—
28C2×C5×D24C2211yescharacteristic, complemented
29C2×C5×#204C2211yescharacteristic, complemented
30C2×C5×#204C2211yescharacteristic, complemented
31C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
32#91566—22no—
33#91466C2212yescomplemented
34#91460—21no—
35#91383C2212yescomplemented
36#91365—21no—
37C2×#6655C2212yescomplemented
38#91298—24no—
39C2×#6652C2212yescomplemented
40#91104C2212yescomplemented
41#91104C2212yescomplemented
42C3×#3953C2212yescomplemented
43C3×#3953C2212yescomplemented
44#90972C2212yescomplemented
45#90966C2212yescomplemented
46#78747—51nomaximal, Hall
47C2×#4149—31no—
48C2×C5×#135—31no—
49#66167—31no—
50C2×#4095—31no—
51#65521—31no—
52#65476—32no—
53#65461—32no—
54#65458—32no—
55#65445—32no—
56C2×#3953D311yescharacteristic, complemented
57#65399—31no—
58C23×C3×D5—21no—
59C22×D3×D5—22no—
60C22×C3×C4×C5C2311yescharacteristic
61C2×#1220D412yes—
62#6817—22no—
63#6817—22no—
64C2×D60D411yescharacteristic
65C2×C4×D15C2312yes—
66C2×Dic30D411yescharacteristic
67C2×C5×#67—21no—
68C2×C5×#67—21no—
69C5×#235—22no—
70C5×#235—22no—
71C5×#235—22no—
72C5×#235D414yescomplemented
73C2×C5×D12C2311yescharacteristic
74C2×C5×D12C2311yescharacteristic
75C2×C4×C5×D3—21no—
76C2×C4×C5×D3—21no—
77C2×C5×Dic6C2311yescharacteristic
78C2×C5×Dic6C2311yescharacteristic
79C22×C3×Dic5—21no—
80C2×C3×D20—21no—
81C2×C3×D20—22no—
82C2×C3×D20D414yescomplemented
83C2×C3×D20C2312yes—
84D5×#67—216no—
85C2×#1203—22no—
86C2×#1202—22no—
87C2×#1201—22no—
88C2×D5×Dic3—22no—
89#6777—24no—
90#6777—24no—
91D3×D20—28no—
92#6766—24no—
93#6766—24no—
94#6765—28no—
95C2×C3×C5×C8—22no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98#6710—22no—
99C2×C3⋊#168C2312yes—
100C5×Dic12—22no—
101C5×D24—22no—
102C5×#204—22no—
103C5×#204—22no—
104C3×C4⋊Dic5—21no—
105C3×C4⋊Dic5C2312yes—
106#6668—22no—
107#6667—22no—
108(C2×D3)⋊Dic5—22no—
109#6655—24no—
110#6652—24no—
111C2×#1004—51no—
112C2×#932—51no—
113C2×#904D511yescharacteristic, complemented
114#5510—51no—
115C2×C3×#102—51no—
116#5110—51no—
117#4966—51no—
118#4783—52no—
119#4781—52no—
120#4776—52no—
121#4773—52no—
122C2×C5×#41—31no—
123C2×C5×#41—31no—
124#4149—64no—
125#4149—64no—
126C2×#713—32no—
127C2×D4×D5—32no—
128C2×D4×D5—62no—
129C2×#709—31no—
130C2×#709—61no—
131C22×D20—61no—
132C22×D20C2×D311yescharacteristic
133C5×#135—64no—
134C2×C5×Q16—31no—
135C2×C5×SD16—31no—
136C2×C5×SD16—31no—
137C2×C5×D8—31no—
138C22×C5×C8C2×D311yescharacteristic, complemented
139#4095—64no—
140#4092—32no—
141C2×#688—32no—
142#4085—62no—
143#4084—32no—
144C2×#686—32no—
145#4076—61no—
146C2×C4⋊Dic5C2×D311yescharacteristic, complemented
147#4070—61no—
148C2×#681—31no—
149#3967—32no—
150#3964—32no—
151#3953C2×D312yescomplemented
152#3953C2×D312yescomplemented
153#3952—32no—
154#3952—32no—
155#3012—151noSylow
156C23×C3×C5C2×D411yescharacteristic
157C22×D15C2×D412yes—
158C22×C5×D3—21no—
159C22×C5×D3—21no—
160C22×C3×D5—22no—
161C22×C3×D5—24no—
162C22×C3×D5—81no—
163C22×C3×D5—81no—
164C2×D3×D5—28no—
165C2×D3×D5—82no—
166C2×D3×D5—82no—
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2×D412yes—
169C2×C3×C4×C5C2×D412yes—
170C2×C3×C4×C5C2411yescharacteristic
171#1220—24no—
172C2×Dic15C2×D412yes—
173D60—22no—
174C4×D15—22no—
175C4×D15—22no—
176Dic30—22no—
177C5×#67—24no—
178C5×#67—42no—
179C2×C5×Dic3—21no—
180C2×C5×Dic3—21no—
181C5×D12—21no—
182C5×D12—21no—
183C5×D12—21no—
184C5×D12C2×D412yes—
185C4×C5×D3—24no—
186C4×C5×D3—42no—
187C5×Dic6—21no—
188C5×Dic6—21no—
189C5×Dic6—21no—
190C5×Dic6C2×D412yes—
191C2×C3×Dic5—22no—
192C2×C3×Dic5—81no—
193C3×D20—24no—
194C3×D20—22no—
195C3×D20C2×D414yes—
196#1203—82no—
197#1202—28no—
198#1201—28no—
199D5×Dic3—28no—
200C3×C5×C8—21no—
201C3×C5×C8—21no—
202C3⋊#168—22no—
203C22×C3×D4—51no—
204C22×#67—102no—
205#1004—104no—
206#1004—104no—
207C2×#237—52no—
208C2×#237—101no—
209C2×D3×D4—52no—
210C2×D3×D4—101no—
211C2×#235—51no—
212C2×#235C2×D511yescharacteristic
213C2×#235C2×D511yescharacteristic, complemented
214C22×C3×C8C2×D511yescharacteristic, complemented
215C2×C3×C4⋊C4—51no—
216C2×#214—52no—
217#932—104no—
218C2×#213—52no—
219#930—102no—
220C2×#208—51no—
221C2×Dic12C2×D511yescharacteristic, complemented
222#904—24no—
223C2×D24C2×D511yescharacteristic, complemented
224C2×#204C2×D511yescharacteristic, complemented
225C2×#204C2×D511yescharacteristic, complemented
226#897—52no—
227#897—101no—
228#895—52no—
229#895—101no—
230C3×#102—52no—
231C3×#102—52no—
232(C2×D3)⋊C8—52no—
233(C2×D3)⋊C8—52no—
234#810—52no—
235#809—52no—
236C23×D5—21no—
237C23×D5—62no—
238C5×#41—34no—
239C5×#41—62no—
240C5×#41—62no—
241C5×#41—62no—
242C2×C5×Q8—31no—
243C2×C5×Q8—31no—
244C2×C5×D4—31no—
245C2×C5×D4—31no—
246C2×C5×D4—61no—
247C2×C5×D4—61no—
248C22×C4×C5—61no—
249C22×C4×C5—61no—
250C22×C4×C5C22×D311yescharacteristic
251C2×C22⋊D5—32no—
252C2×C22⋊D5—62no—
253C2×C22⋊D5—62no—
254C22×Dic5—21no—
255#713—64no—
256#713—64no—
257D4×D5—64no—
258D4×D5—616no—
259D4×D5—64no—
260#709—68no—
261#709—62no—
262#709—62no—
263C2×D20—21no—
264C2×D20—22no—
265C2×D20—31no—
266C2×D20—68no—
267C2×D20—62no—
268C2×D20D1214yescomplemented
269C2×D20C22×D312yes—
270C2×C4×D5—32no—
271C2×C4×D5—62no—
272C2×Dic10—31no—
273C5×Q16—62no—
274C5×SD16—62no—
275C5×SD16—62no—
276C5×D8—62no—
277C2×C5×C8—22no—
278C2×C5×C8C22×D311yescharacteristic
279C2×C5×C8C22×D311yescharacteristic
280C22⋊Dic5—62no—
281#688—64no—
282#686—64no—
283#685—62no—
284C4⋊Dic5—21no—
285C4⋊Dic5C22×D312yes—
286#683—62no—
287#681—62no—
288C2×#168—32no—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—31no—
292#537—151no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—151no—
298C2×#102—51no—
299#408—151no—
300C22×C3×C5—21no—
301C22×C3×C5—21no—
302C22×C3×C5#12012yes—
303C22×C3×C5C22×D411yescharacteristic
304C2×D15—22no—
305C2×D15—22no—
306C2×D15—22no—
307C2×C5×D3—22no—
308C2×C5×D3—41no—
309C2×C5×D3—41no—
310C2×C5×D3—41no—
311C2×C5×D3—41no—
312C2×C5×D3—41no—
313C2×C3×D5—24no—
314C2×C3×D5—42no—
315C2×C3×D5—42no—
316C2×C3×D5—84no—
317D3×D5—88no—
318C3×C4×C5#12012yes—
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321Dic15—22no—
322C3×Dic5—42no—
323C5×Dic3—22no—
324C5×Dic3—41no—
325C24×C3—101no—
326C23×D3—102no—
327C2×C3×D4—54no—
328C2×C3×D4—52no—
329C2×C3×D4—101no—
330C2×C3×D4—102no—
331C22×C3×C4—101no—
332C22×C3×C4C22×D511yescharacteristic
333C2×#67—21no—
334C2×#67—21no—
335C2×#67—52no—
336C2×#67—102no—
337C2×#67—102no—
338C2×#67—1016no—
339C22×Dic3—102no—
340#237—104no—
341#237—108no—
342#237—104no—
343D3×D4—108no—
344D3×D4—104no—
345D3×D4—104no—
346#235—22no—
347#235—22no—
348#235—22no—
349#235—102no—
350#235—102no—
351#235C22⋊D514yescomplemented
352C2×D12—51no—
353C2×D12—102no—
354C2×D12C22×D511yescharacteristic
355C2×D12C22×D511yescharacteristic
356C2×C4×D3—21no—
357C2×C4×D3—21no—
358C2×C4×D3—52no—
359C2×Dic6—51no—
360C2×Dic6C22×D511yescharacteristic
361C2×Dic6C22×D511yescharacteristic
362C2×C3×C8—22no—
363C2×C3×C8C22×D511yescharacteristic
364C2×C3×C8C22×D511yescharacteristic
365C3×C4⋊C4—52no—
366C3×C4⋊C4—101no—
367#214—104no—
368#213—104no—
369(C2×D3)⋊C4—102no—
370(C2×D3)⋊C4—102no—
371C4⋊Dic3—102no—
372#208—102no—
373C2×C3⋊C8—52no—
374Dic12—22no—
375D24—22no—
376#204—22no—
377#204—22no—
378C23×C5—61no—
379C23×C5—61no—
380C23×C5D3×D411yescharacteristic
381C22×D5—22no—
382C22×D5—24no—
383C22×D5—32no—
384C22×D5—68no—
385C22×D5—81no—
386C22×D5—81no—
387C22×D5—242no—
388C22×D5—242no—
389C5×Q8—32no—
390C5×Q8—61no—
391C5×Q8—61no—
392C5×Q8—61no—
393C5×D4—32no—
394C5×D4—64no—
395C5×D4—61no—
396C5×D4—61no—
397C5×D4—61no—
398C5×D4—122no—
399C2×C4×C5—61no—
400C2×C4×C5—64no—
401C2×C4×C5—61no—
402C2×C4×C5—122no—
403C2×C4×C5C2×D1212yes—
404C2×C4×C5D3×D411yescharacteristic
405C2×C4×C5D3×D412yes—
406C2×C4×C5C23×D311yescharacteristic
407C22⋊D5—68no—
408C22⋊D5—64no—
409C22⋊D5—242no—
410C2×Dic5—22no—
411C2×Dic5—32no—
412C2×Dic5—81no—
413D20—24no—
414D20—22no—
415D20—68no—
416D20—62no—
417D20C2×D1214yes—
418C4×D5—68no—
419C4×D5—62no—
420C4×D5—62no—
421Dic10—62no—
422C5×C8—21no—
423C5×C8—21no—
424#168—62no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—31no—
428C2×#41—31no—
429C2×#41—151no—
430C2×#41—152no—
431C2×#41—301no—
432C22×D4—51no—
433C22×D4—152no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—304no—
437#135—64no—
438C2×Q16—31no—
439C2×SD16—31no—
440C2×SD16—31no—
441C2×SD16—152no—
442C2×D8—31no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8D3×D511yescharacteristic, complemented
446C22⋊Q8—152no—
447C22⋊Q8—301no—
448#121—152no—
449#121—301no—
450#121—302no—
451C2×C4⋊C4—51no—
452#103—152no—
453#102—52no—
454#102—52no—
455#102—152no—
456C22⋊C8—152no—
457C22⋊C8—152no—
458C2×C3×C5—22no—
459C2×C3×C5C2×#12011yescharacteristic
460C2×C3×C5#57611yescharacteristic
461C2×C3×C5#57711yescharacteristic
462D15—42no—
463C3×D5—44no—
464C5×D3—42no—
465C5×D3—81no—
466C23×C3—102no—
467C23×C3—104no—
468C23×C3—401no—
469C23×C3—401no—
470C23×C3D4×D511yescharacteristic
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—52no—
474C22×D3—108no—
475C22×D3—402no—
476C22×D3—402no—
477C3×D4—54no—
478C3×D4—102no—
479C3×D4—104no—
480C2×C3×C4—102no—
481C2×C3×C4—401no—
482C2×C3×C4D4×D512yes—
483C2×C3×C4D4×D511yescharacteristic
484C2×C3×C4C2×C22⋊D512yes—
485C2×C3×C4C23×D511yescharacteristic
486#67—24no—
487#67—42no—
488#67—108no—
489#67—108no—
490#67—104no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—52no—
494C2×Dic3—108no—
495D12—21no—
496D12—21no—
497D12—21no—
498D12—102no—
499D12—402no—
500D12C2×C22⋊D512yes—
501C4×D3—24no—
502C4×D3—42no—
503C4×D3—102no—
504C4×D3—102no—
505Dic6—21no—
506Dic6—21no—
507Dic6—21no—
508Dic6—102no—
509Dic6C2×C22⋊D512yes—
510C3×C8—21no—
511C3×C8—21no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—62no—
516C22×C5—121no—
517C22×C5—121no—
518C22×C5—121no—
519C22×C5—121no—
520C22×C5—121no—
521C22×C5#88212yes—
522C22×C5C2×D3×D411yescharacteristic
523C2×D5—24no—
524C2×D5—42no—
525C2×D5—42no—
526C2×D5—62no—
527C2×D5—62no—
528C2×D5—62no—
529C2×D5—84no—
530C2×D5—248no—
531C4×C5—62no—
532C4×C5—121no—
533C4×C5#88212yes—
534C4×C5C22×D1211yescharacteristic
535C4×C5C2×D3×D411yescharacteristic
536Dic5—42no—
537Dic5—62no—
538C24—101no—
539C24—302no—
540#41—34no—
541#41—62no—
542#41—62no—
543#41—62no—
544#41—308no—
545#41—304no—
546#41—304no—
547#41—302no—
548#41—302no—
549C2×Q8—31no—
550C2×Q8—31no—
551C2×Q8—151no—
552C2×D4—31no—
553C2×D4—31no—
554C2×D4—54no—
555C2×D4—52no—
556C2×D4—61no—
557C2×D4—61no—
558C2×D4—101no—
559C2×D4—102no—
560C2×D4—152no—
561C2×D4—151no—
562C2×D4—308no—
563C2×D4—302no—
564C2×D4—302no—
565C2×D4—302no—
566C2×D4—304no—
567C2×D4—304no—
568C2×D4—3016no—
569C22×C4—61no—
570C22×C4—61no—
571C22×C4—101no—
572C22×C4—152no—
573C22×C4—302no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—62no—
576SD16—62no—
577SD16—62no—
578SD16—304no—
579D8—62no—
580D8—304no—
581M16—302no—
582C2×C8—22no—
583C2×C8—152no—
584C2×C8C2×D3×D511yescharacteristic
585C2×C8C2×D3×D511yescharacteristic
586C4⋊C4—52no—
587C4⋊C4—101no—
588C4⋊C4—302no—
589C22⋊C4—302no—
590C22⋊C4—302no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—104no—
595C22×C3—202no—
596C22×C3—202no—
597C22×C3—404no—
598C22×C3#408312yes—
599C22×C3C2×D4×D511yescharacteristic
600C2×D3—22no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—41no—
604C2×D3—41no—
605C2×D3—41no—
606C2×D3—102no—
607C2×D3—102no—
608C2×D3—102no—
609C2×D3—408no—
610C3×C4—202no—
611C3×C4#408312yes—
612C3×C4C2×D4×D511yescharacteristic
613C3×C4C22×C22⋊D511yescharacteristic
614Dic3—22no—
615Dic3—41no—
616Dic3—102no—
617C2×C5—22no—
618C2×C5—122no—
619C2×C5—241no—
620C2×C5C2×#88211yescharacteristic
621C2×C5#575711yescharacteristic
622C2×C5#576211yescharacteristic
623D5—44no—
624D5—122no—
625C23—61no—
626C23—61no—
627C23—102no—
628C23—104no—
629C23—152no—
630C23—308no—
631C23—401no—
632C23—401no—
633C23—1202no—
634C23—1202no—
635C23#677711yescharacteristic
636Q8—32no—
637Q8—61no—
638Q8—61no—
639Q8—61no—
640Q8—302no—
641D4—32no—
642D4—54no—
643D4—64no—
644D4—61no—
645D4—61no—
646D4—61no—
647D4—104no—
648D4—102no—
649D4—122no—
650D4—308no—
651D4—308no—
652D4—304no—
653D4—302no—
654D4—1202no—
655C2×C4—61no—
656C2×C4—64no—
657C2×C4—61no—
658C2×C4—102no—
659C2×C4—122no—
660C2×C4—152no—
661C2×C4—308no—
662C2×C4—302no—
663C2×C4—302no—
664C2×C4—401no—
665C2×C4D5×D1212yes—
666C2×C4#677711yescharacteristic
667C2×C4D3×C22⋊D512yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—21no—
670C8—21no—
671C8—302no—
672C2×C3—22no—
673C2×C3—204no—
674C2×C3#6610311yescharacteristic
675C2×C3#6610411yescharacteristic
676C2×C3C2×#408311yescharacteristic
677D3—42no—
678D3—81no—
679D3—202no—
680C5#7874711yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—62no—
684C22—104no—
685C22—121no—
686C22—121no—
687C22—121no—
688C22—121no—
689C22—121no—
690C22—202no—
691C22—202no—
692C22—302no—
693C22—302no—
694C22—302no—
695C22—404no—
696C22—1208no—
697C22#9147512yes—
698C22C2×#677711yescharacteristic
699C4—62no—
700C4—121no—
701C4—202no—
702C4—302no—
703C4#9147512yes—
704C4C2×D5×D1211yescharacteristic
705C4C2×D3×C22⋊D511yescharacteristic
706C3#1061564311yescharacteristic, complemented, Sylow
707C2—22no—
708C2—122no—
709C2—204no—
710C2—241no—
711C2—602no—
712C2#1175398011yescharacteristic
713C2#1175398111yescharacteristic
714C2C2×#9147511yescharacteristic
subgroupG/H
centerC22C2×#6777
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×C8C22
socleC22×C3×C5C22×D4
hypercenterC22×C8D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
1. C2×#92017C2semidirect
2. C2×C5×#904C2semidirect
3. #11754603C2semidirect
4. C2×#91298C2semidirect
5. #11751211C2semidirect
6. C2×C3×#3953C2semidirect
7. #11748384C2semidirect
8. #11748154C2semidirect
9. #11748153C2semidirect
10. #11748119C2semidirect
11. #11748118C2semidirect
15. C2×C5×#235C22semidirect
24. C22×C3×C5×C8C22semidirect
25. C2×#6710C22semidirect
26. C2×C5×Dic12C22semidirect
28. C2×C5×D24C22semidirect
29. C2×C5×#204C22semidirect
30. C2×C5×#204C22semidirect
31. C2×C3×C4⋊Dic5C22semidirect
33. #91466C22semidirect
35. #91383C22semidirect
37. C2×#6655C22semidirect
39. C2×#6652C22semidirect
40. #91104C22semidirect
41. #91104C22semidirect
42. C3×#3953C22semidirect
43. C3×#3953C22semidirect
44. #90972C22semidirect
45. #90966C22semidirect
56. C2×#3953D3semidirect
72. C5×#235D4semidirect
82. C2×C3×D20D4semidirect
113. C2×#904D5semidirect
138. C22×C5×C8C2×D3semidirect
146. C2×C4⋊Dic5C2×D3semidirect
151. #3953C2×D3semidirect
152. #3953C2×D3semidirect
213. C2×#235C2×D5semidirect
214. C22×C3×C8C2×D5semidirect
221. C2×Dic12C2×D5semidirect
223. C2×D24C2×D5semidirect
224. C2×#204C2×D5semidirect
225. C2×#204C2×D5semidirect
268. C2×D20D12semidirect
351. #235C22⋊D5semidirect
445. C22×C8D3×D5semidirect
591. C3×C5#3012semidirect
680. C5#78747semidirect
706. C3#10615643semidirect

Maximal subgroups

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

subgroupindex
C2×#920172
C2×C5×#9042
#117546032
C2×#912982
#117512112
C2×C3×#39532
#117483842
#117481542
#117481532
#117481192
#117481182
#106156433
#787475