Finite Group Databasebeta

← #14424739

Subgroups — #14424739

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×#92018C211yesmaximal, characteristic, complemented
2C2×C3×#4050C211yesmaximal, characteristic, complemented
3#11754605C211yesmaximal, characteristic, complemented
4C2×#91299C211yesmaximal, characteristic, complemented
5#11751211C211yesmaximal, characteristic, complemented
6C2×C5×#821C211yesmaximal, characteristic, complemented
7#11748368C211yesmaximal, characteristic, complemented
8#11748151C212yesmaximal, complemented
9#11748113C212yesmaximal, complemented
10#11748111C212yesmaximal, complemented
11#11747889C212yesmaximal, complemented
12#10610478—31nomaximal, Hall
13C2×#6817C2211yescharacteristic
14C22×C5×D12C2211yescharacteristic
15C2×C3×#709C2211yescharacteristic
16C2×C3×#709C2211yescharacteristic, complemented
17C2×D3×C22⋊D5—22no—
18#92018—24no—
19#92018—24no—
20C2×#6777C2212yes—
21C2×D5×D12—21no—
22C2×#6772—21no—
23C2×#6768C2212yes—
24C22×C3×C5×C8C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
27C2×C3×Dic20C2211yescharacteristic, complemented
28C3×#4050—24no—
29C2×C3×D40C2211yescharacteristic, complemented
30C2×C3×#677C2211yescharacteristic, complemented
31C2×C3×#677C2211yescharacteristic, complemented
32#91569—22no—
33#91465C2212yescomplemented
34#91450—21no—
35#91390C2212yescomplemented
36#91360—21no—
37C2×#6656C2212yescomplemented
38#91299—24no—
39C2×#6652C2212yescomplemented
40#91104C2212yescomplemented
41#91104C2212yescomplemented
42C5×#821C2212yescomplemented
43C5×#821C2212yescomplemented
44#90970C2212yescomplemented
45#90964C2212yescomplemented
46#83912—51nomaximal, Hall
47C2×#4144—31no—
48C2×#4078—31no—
49C2×#4050D311yescharacteristic, complemented
50#65844—31no—
51C2×C5×#102—31no—
52#65399—31no—
53#65255—31no—
54#65072—32no—
55#65070—32no—
56#65065—32no—
57#65062—32no—
58C23×C5×D3—21no—
59C22×D3×D5—22no—
60C22×C3×C4×C5C2311yescharacteristic
61C2×#1220D412yes—
62#6817—22no—
63#6817—22no—
64C2×D60D411yescharacteristic
65C2×C4×D15C2312yes—
66C2×Dic30D411yescharacteristic
67C22×C5×Dic3—21no—
68C2×C5×D12—21no—
69C2×C5×D12—22no—
70C2×C5×D12D414yescomplemented
71C2×C5×D12C2312yes—
72C2×C3×C22⋊D5—21no—
73C2×C3×C22⋊D5—21no—
74C3×#709—22no—
75C3×#709—22no—
76C3×#709—22no—
77C3×#709D414yescomplemented
78C2×C3×D20C2311yescharacteristic
79C2×C3×D20C2311yescharacteristic
80C2×C3×C4×D5—21no—
81C2×C3×C4×D5—21no—
82C2×C3×Dic10C2311yescharacteristic
83C2×C3×Dic10C2311yescharacteristic
84D3×C22⋊D5—216no—
85C2×#1203—22no—
86C2×#1202—22no—
87C2×#1201—22no—
88C2×D3×Dic5—22no—
89#6777—24no—
90#6777—24no—
91D5×D12—28no—
92#6772—28no—
93#6768—24no—
94#6768—24no—
95C2×C3×C5×C8—22no—
96C2×C3×C5×C8C2311yescharacteristic
97C2×C3×C5×C8C2311yescharacteristic
98#6710—22no—
99C2×C3⋊#168C2312yes—
100C5×C4⋊Dic3—21no—
101C5×C4⋊Dic3C2312yes—
102C3×Dic20—22no—
103C3×D40—22no—
104C3×#677—22no—
105C3×#677—22no—
106Dic3⋊Dic5—22no—
107#6667—22no—
108#6665—22no—
109#6656—24no—
110#6652—24no—
111C2×#1009—51no—
112C2×C3×#135—51no—
113#5833—51no—
114C2×#949—51no—
115#5232—51no—
116#5187—52no—
117#5172—52no—
118#5169—52no—
119#5156—52no—
120C2×#821D511yescharacteristic, complemented
121#5110—51no—
122C22×C5×D4—31no—
123C22×C22⋊D5—62no—
124#4144—64no—
125#4144—64no—
126C2×#711—32no—
127C2×#711—61no—
128C2×D4×D5—32no—
129C2×D4×D5—61no—
130C2×#709—31no—
131C2×#709C2×D311yescharacteristic
132C2×#709C2×D311yescharacteristic, complemented
133C22×C5×C8C2×D311yescharacteristic, complemented
134C2×C5×C4⋊C4—31no—
135C2×#687—32no—
136#4078—64no—
137C2×#686—32no—
138#4076—62no—
139C2×#681—31no—
140C2×Dic20C2×D311yescharacteristic, complemented
141#4050—24no—
142C2×D40C2×D311yescharacteristic, complemented
143C2×#677C2×D311yescharacteristic, complemented
144C2×#677C2×D311yescharacteristic, complemented
145#4043—32no—
146#4043—61no—
147#4041—32no—
148#4041—61no—
149C5×#102—32no—
150C5×#102—32no—
151#3952—32no—
152#3952—32no—
153#3942—32no—
154#3941—32no—
155#3012—151noSylow
156C23×C3×C5C2×D411yescharacteristic
157C22×D15C2×D412yes—
158C22×C5×D3—22no—
159C22×C5×D3—24no—
160C22×C5×D3—81no—
161C22×C5×D3—81no—
162C22×C3×D5—21no—
163C22×C3×D5—21no—
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—
177C2×C5×Dic3—22no—
178C2×C5×Dic3—81no—
179C5×D12—24no—
180C5×D12—22no—
181C5×D12C2×D414yes—
182C3×C22⋊D5—24no—
183C3×C22⋊D5—42no—
184C2×C3×Dic5—21no—
185C2×C3×Dic5—21no—
186C3×D20—21no—
187C3×D20—21no—
188C3×D20—21no—
189C3×D20C2×D412yes—
190C3×C4×D5—24no—
191C3×C4×D5—42no—
192C3×Dic10—21no—
193C3×Dic10—21no—
194C3×Dic10—21no—
195C3×Dic10C2×D412yes—
196#1203—28no—
197#1202—82no—
198#1201—28no—
199D3×Dic5—28no—
200C3×C5×C8—21no—
201C3×C5×C8—21no—
202C3⋊#168—22no—
203C2×C3×#41—51no—
204C2×C3×#41—51no—
205#1009—104no—
206#1009—104no—
207C2×#239—52no—
208C2×D3×D4—52no—
209C2×D3×D4—102no—
210C2×#235—51no—
211C2×#235—101no—
212C22×D12—101no—
213C22×D12C2×D511yescharacteristic
214C3×#135—104no—
215C2×C3×Q16—51no—
216C2×C3×SD16—51no—
217C2×C3×SD16—51no—
218C2×C3×D8—51no—
219C22×C3×C8C2×D511yescharacteristic, complemented
220#949—104no—
221#946—52no—
222C2×#215—52no—
223#939—102no—
224#938—52no—
225C2×#213—52no—
226#930—101no—
227C2×C4⋊Dic3C2×D511yescharacteristic, complemented
228#924—101no—
229C2×#208—51no—
230#835—52no—
231#832—52no—
232#821C2×D512yescomplemented
233#821C2×D512yescomplemented
234(C2×D3)⋊C8—52no—
235(C2×D3)⋊C8—52no—
236C24×C5—61no—
237C23×D5—62no—
238C2×C5×D4—34no—
239C2×C5×D4—32no—
240C2×C5×D4—61no—
241C2×C5×D4—62no—
242C22×C4×C5—61no—
243C22×C4×C5C22×D311yescharacteristic
244C2×C22⋊D5—21no—
245C2×C22⋊D5—21no—
246C2×C22⋊D5—32no—
247C2×C22⋊D5—62no—
248C2×C22⋊D5—62no—
249C2×C22⋊D5—616no—
250C22×Dic5—62no—
251#711—64no—
252#711—68no—
253#711—64no—
254D4×D5—68no—
255D4×D5—64no—
256D4×D5—64no—
257#709—22no—
258#709—22no—
259#709—22no—
260#709—62no—
261#709—62no—
262#709#6714yescomplemented
263C2×D20—31no—
264C2×D20—62no—
265C2×D20C22×D311yescharacteristic
266C2×D20C22×D311yescharacteristic
267C2×C4×D5—21no—
268C2×C4×D5—21no—
269C2×C4×D5—32no—
270C2×Dic10—31no—
271C2×Dic10C22×D311yescharacteristic
272C2×Dic10C22×D311yescharacteristic
273C2×C5×C8—22no—
274C2×C5×C8C22×D311yescharacteristic
275C2×C5×C8C22×D311yescharacteristic
276C5×C4⋊C4—32no—
277C5×C4⋊C4—61no—
278#687—64no—
279#686—64no—
280#685—62no—
281#685—62no—
282C4⋊Dic5—62no—
283#681—62no—
284C2×#168—32no—
285Dic20—22no—
286D40—22no—
287#677—22no—
288#677—22no—
289C2×H(5,𝔽2)—151no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—51no—
292#537—151no—
293#452—152no—
294#450—152no—
295#449—152no—
296#447—152no—
297#417—151no—
298C2×#102—31no—
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—24no—
308C2×C5×D3—42no—
309C2×C5×D3—42no—
310C2×C5×D3—84no—
311C2×C3×D5—22no—
312C2×C3×D5—41no—
313C2×C3×D5—41no—
314C2×C3×D5—41no—
315C2×C3×D5—41no—
316C2×C3×D5—41no—
317D3×D5—88no—
318C3×C4×C5#12012yes—
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321Dic15—22no—
322C3×Dic5—22no—
323C3×Dic5—41no—
324C5×Dic3—42no—
325C23×D3—21no—
326C23×D3—102no—
327C3×#41—54no—
328C3×#41—102no—
329C3×#41—102no—
330C3×#41—102no—
331C2×C3×Q8—51no—
332C2×C3×Q8—51no—
333C2×C3×D4—51no—
334C2×C3×D4—51no—
335C2×C3×D4—101no—
336C2×C3×D4—101no—
337C22×C3×C4—101no—
338C22×C3×C4—101no—
339C22×C3×C4C22×D511yescharacteristic
340C2×#67—52no—
341C2×#67—102no—
342C2×#67—102no—
343C22×Dic3—21no—
344#239—104no—
345#239—104no—
346D3×D4—104no—
347D3×D4—1016no—
348D3×D4—104no—
349#235—108no—
350#235—102no—
351#235—102no—
352C2×D12—21no—
353C2×D12—22no—
354C2×D12—51no—
355C2×D12—108no—
356C2×D12—102no—
357C2×D12D2014yescomplemented
358C2×D12C22×D512yes—
359C2×C4×D3—52no—
360C2×C4×D3—102no—
361C2×Dic6—51no—
362C3×Q16—102no—
363C3×SD16—102no—
364C3×SD16—102no—
365C3×D8—102no—
366C2×C3×C8—22no—
367C2×C3×C8C22×D511yescharacteristic
368C2×C3×C8C22×D511yescharacteristic
369#217—102no—
370#215—104no—
371#213—104no—
372(C2×D3)⋊C4—102no—
373C4⋊Dic3—21no—
374C4⋊Dic3C22×D512yes—
375Dic3⋊C4—102no—
376#208—102no—
377C2×C3⋊C8—52no—
378C23×C5—62no—
379C23×C5—64no—
380C23×C5—241no—
381C23×C5—241no—
382C23×C5D3×D411yescharacteristic
383C22×D5—21no—
384C22×D5—21no—
385C22×D5—32no—
386C22×D5—68no—
387C22×D5—242no—
388C22×D5—242no—
389C5×D4—34no—
390C5×D4—64no—
391C5×D4—62no—
392C2×C4×C5—62no—
393C2×C4×C5—241no—
394C2×C4×C5D3×D412yes—
395C2×C4×C5D3×D411yescharacteristic
396C2×C4×C5C2×#6712yes—
397C2×C4×C5C23×D311yescharacteristic
398C22⋊D5—24no—
399C22⋊D5—42no—
400C22⋊D5—68no—
401C22⋊D5—68no—
402C22⋊D5—64no—
403C2×Dic5—21no—
404C2×Dic5—21no—
405C2×Dic5—32no—
406C2×Dic5—68no—
407D20—21no—
408D20—21no—
409D20—21no—
410D20—62no—
411D20—242no—
412D20C2×#6712yes—
413C4×D5—24no—
414C4×D5—42no—
415C4×D5—62no—
416C4×D5—62no—
417Dic10—21no—
418Dic10—21no—
419Dic10—21no—
420Dic10—62no—
421Dic10C2×#6712yes—
422C5×C8—21no—
423C5×C8—21no—
424#168—62no—
425H(5,𝔽2)—304no—
426H(5,𝔽2)—304no—
427C2×#41—51no—
428C2×#41—51no—
429C2×#41—151no—
430C2×#41—152no—
431C2×#41—301no—
432C22×D4—31no—
433C22×D4—152no—
434C22×D4—301no—
435C22×D4—302no—
436AGL(1,ℤ/8)—304no—
437#135—104no—
438C2×Q16—51no—
439C2×SD16—51no—
440C2×SD16—51no—
441C2×SD16—152no—
442C2×D8—51no—
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—31no—
452#103—152no—
453#102—32no—
454#102—32no—
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—42no—
464C3×D5—81no—
465C5×D3—44no—
466C23×C3—101no—
467C23×C3—101no—
468C23×C3D4×D511yescharacteristic
469C22×D3—22no—
470C22×D3—24no—
471C22×D3—52no—
472C22×D3—81no—
473C22×D3—81no—
474C22×D3—108no—
475C22×D3—402no—
476C22×D3—402no—
477C3×Q8—52no—
478C3×Q8—101no—
479C3×Q8—101no—
480C3×Q8—101no—
481C3×D4—52no—
482C3×D4—104no—
483C3×D4—101no—
484C3×D4—101no—
485C3×D4—101no—
486C3×D4—202no—
487C2×C3×C4—101no—
488C2×C3×C4—104no—
489C2×C3×C4—101no—
490C2×C3×C4—202no—
491C2×C3×C4C2×D2012yes—
492C2×C3×C4D4×D511yescharacteristic
493C2×C3×C4D4×D512yes—
494C2×C3×C4C23×D511yescharacteristic
495#67—108no—
496#67—104no—
497#67—402no—
498C2×Dic3—22no—
499C2×Dic3—52no—
500C2×Dic3—81no—
501D12—22no—
502D12—24no—
503D12—108no—
504D12—102no—
505D12C2×D2014yes—
506C4×D3—108no—
507C4×D3—102no—
508C4×D3—102no—
509Dic6—102no—
510C3×C8—21no—
511C3×C8—21no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—64no—
516C22×C5—122no—
517C22×C5—122no—
518C22×C5—244no—
519C22×C5#93712yes—
520C22×C5C2×D3×D411yescharacteristic
521C2×D5—22no—
522C2×D5—41no—
523C2×D5—41no—
524C2×D5—41no—
525C2×D5—41no—
526C2×D5—41no—
527C2×D5—62no—
528C2×D5—62no—
529C2×D5—62no—
530C2×D5—248no—
531C4×C5—122no—
532C4×C5#93712yes—
533C4×C5C2×D3×D411yescharacteristic
534C4×C5C22×#6711yescharacteristic
535Dic5—22no—
536Dic5—41no—
537Dic5—62no—
538C24—61no—
539C24—302no—
540#41—54no—
541#41—102no—
542#41—102no—
543#41—102no—
544#41—308no—
545#41—304no—
546#41—304no—
547#41—302no—
548#41—302no—
549C2×Q8—51no—
550C2×Q8—51no—
551C2×Q8—151no—
552C2×D4—34no—
553C2×D4—32no—
554C2×D4—51no—
555C2×D4—51no—
556C2×D4—61no—
557C2×D4—62no—
558C2×D4—101no—
559C2×D4—101no—
560C2×D4—152no—
561C2×D4—151no—
562C2×D4—302no—
563C2×D4—308no—
564C2×D4—302no—
565C2×D4—302no—
566C2×D4—304no—
567C2×D4—304no—
568C2×D4—3016no—
569C22×C4—61no—
570C22×C4—101no—
571C22×C4—101no—
572C22×C4—152no—
573C22×C4—302no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—102no—
576SD16—102no—
577SD16—102no—
578SD16—304no—
579D8—102no—
580D8—304no—
581M16—302no—
582C2×C8—22no—
583C2×C8—152no—
584C2×C8C2×D3×D511yescharacteristic
585C2×C8C2×D3×D511yescharacteristic
586C4⋊C4—32no—
587C4⋊C4—61no—
588C4⋊C4—302no—
589C22⋊C4—302no—
590C22⋊C4—302no—
591C3×C5#301211yescharacteristic, complemented, Hall
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—102no—
595C22×C3—201no—
596C22×C3—201no—
597C22×C3—201no—
598C22×C3—201no—
599C22×C3—201no—
600C22×C3#402812yes—
601C22×C3C2×D4×D511yescharacteristic
602C2×D3—24no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—84no—
606C2×D3—102no—
607C2×D3—102no—
608C2×D3—102no—
609C2×D3—408no—
610C3×C4—102no—
611C3×C4—201no—
612C3×C4#402812yes—
613C3×C4C22×D2011yescharacteristic
614C3×C4C2×D4×D511yescharacteristic
615Dic3—42no—
616Dic3—102no—
617C2×C5—22no—
618C2×C5—124no—
619C2×C5#576911yescharacteristic
620C2×C5#577011yescharacteristic
621C2×C5C2×#93711yescharacteristic
622D5—42no—
623D5—81no—
624D5—122no—
625C23—62no—
626C23—64no—
627C23—101no—
628C23—101no—
629C23—152no—
630C23—241no—
631C23—241no—
632C23—308no—
633C23—1202no—
634C23—1202no—
635C23#677711yescharacteristic
636Q8—52no—
637Q8—101no—
638Q8—101no—
639Q8—101no—
640Q8—302no—
641D4—34no—
642D4—52no—
643D4—64no—
644D4—62no—
645D4—104no—
646D4—101no—
647D4—101no—
648D4—101no—
649D4—202no—
650D4—308no—
651D4—308no—
652D4—304no—
653D4—302no—
654D4—1202no—
655C2×C4—62no—
656C2×C4—101no—
657C2×C4—104no—
658C2×C4—101no—
659C2×C4—152no—
660C2×C4—202no—
661C2×C4—241no—
662C2×C4—308no—
663C2×C4—302no—
664C2×C4—302no—
665C2×C4D3×D2012yes—
666C2×C4#677711yescharacteristic
667C2×C4D5×#6712yes—
668C2×C4C22×D3×D511yescharacteristic
669C8—21no—
670C8—21no—
671C8—302no—
672C2×C3—22no—
673C2×C3—202no—
674C2×C3—401no—
675C2×C3C2×#402811yescharacteristic
676C2×C3#6609111yescharacteristic
677C2×C3#6609611yescharacteristic
678D3—44no—
679D3—202no—
680C5#8391211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—64no—
684C22—102no—
685C22—122no—
686C22—122no—
687C22—201no—
688C22—201no—
689C22—201no—
690C22—201no—
691C22—201no—
692C22—244no—
693C22—302no—
694C22—302no—
695C22—302no—
696C22—1208no—
697C22#9147412yes—
698C22C2×#677711yescharacteristic
699C4—102no—
700C4—122no—
701C4—201no—
702C4—302no—
703C4#9147412yes—
704C4C2×D3×D2011yescharacteristic
705C4C2×D5×#6711yescharacteristic
706C3#1061047811yescharacteristic, complemented, Sylow
707C2—22no—
708C2—124no—
709C2—202no—
710C2—401no—
711C2—602no—
712C2#1175398211yescharacteristic
713C2#1175398311yescharacteristic
714C2C2×#9147411yescharacteristic
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×#92018C2semidirect
2. C2×C3×#4050C2semidirect
3. #11754605C2semidirect
4. C2×#91299C2semidirect
5. #11751211C2semidirect
6. C2×C5×#821C2semidirect
7. #11748368C2semidirect
8. #11748151C2semidirect
9. #11748113C2semidirect
10. #11748111C2semidirect
11. #11747889C2semidirect
16. C2×C3×#709C22semidirect
24. C22×C3×C5×C8C22semidirect
25. C2×#6710C22semidirect
26. C2×C5×C4⋊Dic3C22semidirect
27. C2×C3×Dic20C22semidirect
29. C2×C3×D40C22semidirect
30. C2×C3×#677C22semidirect
31. C2×C3×#677C22semidirect
33. #91465C22semidirect
35. #91390C22semidirect
37. C2×#6656C22semidirect
39. C2×#6652C22semidirect
40. #91104C22semidirect
41. #91104C22semidirect
42. C5×#821C22semidirect
43. C5×#821C22semidirect
44. #90970C22semidirect
45. #90964C22semidirect
49. C2×#4050D3semidirect
70. C2×C5×D12D4semidirect
77. C3×#709D4semidirect
120. C2×#821D5semidirect
132. C2×#709C2×D3semidirect
133. C22×C5×C8C2×D3semidirect
140. C2×Dic20C2×D3semidirect
142. C2×D40C2×D3semidirect
143. C2×#677C2×D3semidirect
144. C2×#677C2×D3semidirect
219. C22×C3×C8C2×D5semidirect
227. C2×C4⋊Dic3C2×D5semidirect
232. #821C2×D5semidirect
233. #821C2×D5semidirect
262. #709#67semidirect
357. C2×D12D20semidirect
445. C22×C8D3×D5semidirect
591. C3×C5#3012semidirect
680. C5#83912semidirect
706. C3#10610478semidirect

Maximal subgroups

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

subgroupindex
C2×#920182
C2×C3×#40502
#117546052
C2×#912992
#117512112
C2×C5×#8212
#117483682
#117481512
#117481132
#117481112
#117478892
#106104783
#839125