Finite Group Databasebeta

← #14424752

Subgroups — #14424752

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×C3×#4144C211yesmaximal, characteristic, complemented
2C2×#91821C211yesmaximal, characteristic, complemented
3#11754605C211yesmaximal, characteristic, complemented
4C2×#91311C211yesmaximal, characteristic, complemented
5C2×C5×#832C211yesmaximal, characteristic, complemented
6#11749049C212yesmaximal, complemented
7#11749045C212yesmaximal, complemented
8#11749026C212yesmaximal, complemented
9#11749022C212yesmaximal, complemented
10#11748368C211yesmaximal, characteristic, complemented
11#11748342C211yesmaximal, characteristic, complemented
12#10610478—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C2×#6817C2211yescharacteristic, complemented
15C22×C3×C22⋊D5—22no—
16C3×#4144—24no—
17C3×#4144—24no—
18C2×C3×#711—21no—
19C2×C3×#711C2212yes—
20C2×C3×D4×D5—21no—
21C2×C3×D4×D5C2212yes—
22C2×C3×#709C2211yescharacteristic
23C2×C3×#709C2211yescharacteristic
24C2×#6716C2212yescomplemented
25#91821—24no—
26C2×#6715C2212yescomplemented
27C2×#6710C2211yescharacteristic, complemented
28C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
29C22×C5×C3⋊C8C2211yescharacteristic, complemented
30#91569—22no—
31#91465—21no—
32#91450C2212yescomplemented
33#91390—21no—
34#91360C2212yescomplemented
35C2×#6662C2211yescharacteristic, complemented
36C2×#6658C2211yescharacteristic, complemented
37#91311—24no—
38C2×#6657C2211yescharacteristic, complemented
39C2×#6653C2211yescharacteristic, complemented
40C5×#832C2212yescomplemented
41C5×#832C2212yescomplemented
42#90970C2212yescomplemented
43#90964C2212yescomplemented
44#90955C2212yescomplemented
45#90955C2212yescomplemented
46#84102—51nomaximal, Hall
47C2×#4144D311yescharacteristic, complemented
48C2×#4078—31no—
49C2×#4050—31no—
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—
58C24×C3×C5—21no—
59C23×C3×D5—22no—
60C2×C3×C5×D4—21no—
61C2×C3×C5×D4—22no—
62C2×C3×C5×D4D414yescomplemented
63C2×C3×C5×D4C2312yes—
64C22×C3×C4×C5C2311yescharacteristic
65C2×#1220—21no—
66#6817—22no—
67#6817—22no—
68C2×D60C2311yescharacteristic
69C2×C4×D15—21no—
70C2×Dic30C2311yescharacteristic
71C22×C5×Dic3—21no—
72C2×C3×C22⋊D5—216no—
73C2×C3×C22⋊D5—21no—
74C2×C3×C22⋊D5—22no—
75C2×C3×C22⋊D5—22no—
76C2×C3×C22⋊D5D412yes—
77C22×C3×Dic5—22no—
78C3×#711—28no—
79C3×#711—24no—
80C3×#711—24no—
81C3×D4×D5—28no—
82C3×D4×D5—24no—
83C3×D4×D5—24no—
84C3×#709—22no—
85C3×#709—22no—
86C3×#709—22no—
87C3×#709D414yescomplemented
88C2×C3×D20D411yescharacteristic
89C2×C3×D20C2311yescharacteristic
90C2×C3×C4×D5—21no—
91C2×C3×C4×D5C2312yes—
92C2×C3×Dic10D411yescharacteristic
93C2×C3×Dic10C2311yescharacteristic
94C2×#1202—22no—
95#6716—24no—
96#6715—24no—
97#6710—22no—
98C2×C3⋊#168C2312yes—
99C5×C4⋊Dic3—21no—
100C5×C4⋊Dic3C2312yes—
101C2×C5×C3⋊C8—22no—
102C2×C5×C3⋊C8C2311yescharacteristic
103C2×C5×C3⋊C8C2311yescharacteristic
104Dic3⋊Dic5—22no—
105#6667—22no—
106#6665—22no—
107#6662—22no—
108#6658—22no—
109#6657—22no—
110#6653—22no—
111C2×C3×H(5,𝔽2)—51no—
112#5833—51no—
113C2×#950—51no—
114C2×#932—51no—
115#5239—52no—
116#5238—52no—
117#5234—51no—
118#5232—51no—
119#5218—52no—
120#5217—52no—
121C2×#832D511yescharacteristic, complemented
122C22×C5×D4C2×D311yescharacteristic
123C22×C22⋊D5—22no—
124#4144—24no—
125#4144—24no—
126C2×#711—21no—
127C2×#711C2×D312yes—
128C2×D4×D5—21no—
129C2×D4×D5C2×D312yes—
130C2×#709—31no—
131C2×#709C2×D311yescharacteristic
132C2×#709C2×D311yescharacteristic
133C22×C5×C8—31no—
134C2×C5×C4⋊C4—31no—
135C2×#687—32no—
136#4078—64no—
137C2×#686—32no—
138#4076—62no—
139C2×#681—31no—
140C2×Dic20—31no—
141#4050—64no—
142C2×D40—31no—
143C2×#677—31no—
144C2×#677—31no—
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×C5—22no—
157C23×C3×C5—24no—
158C23×C3×C5—81no—
159C23×C3×C5—81no—
160C23×C3×C5C2×D411yescharacteristic
161C22×D15—21no—
162C22×C3×D5—21no—
163C22×C3×D5—28no—
164C22×C3×D5—82no—
165C22×C3×D5—82no—
166C22×C3×D5C2×D412yes—
167C3×C5×D4—24no—
168C3×C5×D4—22no—
169C3×C5×D4C2×D414yes—
170C2×C3×C4×C5C2×D411yescharacteristic
171C2×C3×C4×C5C2×D412yes—
172C2×C3×C4×C5C2×D412yes—
173C2×C3×C4×C5C2411yescharacteristic
174#1220—42no—
175C2×Dic15—21no—
176D60—21no—
177D60—21no—
178C4×D15—42no—
179Dic30—21no—
180Dic30—21no—
181C2×C5×Dic3—22no—
182C2×C5×Dic3—81no—
183C3×C22⋊D5—28no—
184C3×C22⋊D5—28no—
185C3×C22⋊D5—24no—
186C3×C22⋊D5—24no—
187C2×C3×Dic5—28no—
188C2×C3×Dic5—21no—
189C2×C3×Dic5C2×D412yes—
190C3×D20—22no—
191C3×D20—21no—
192C3×D20C2×D412yes—
193C3×C4×D5—24no—
194C3×C4×D5—22no—
195C3×C4×D5—22no—
196C3×Dic10—22no—
197C3×Dic10—21no—
198C3×Dic10C2×D412yes—
199#1202—82no—
200C3⋊#168—22no—
201C5×C3⋊C8—21no—
202C5×C3⋊C8—21no—
203C3×H(5,𝔽2)—104no—
204C3×H(5,𝔽2)—104no—
205C2×C3×#41—51no—
206C2×C3×#41—52no—
207C2×C3×#41—51no—
208C2×C3×#41—101no—
209C22×C3×D4—52no—
210C22×C3×D4—101no—
211C22×C3×D4—102no—
212C22×C3×D4C2×D511yescharacteristic
213C2×#235—51no—
214#950—104no—
215#946—101no—
216C2×#216—51no—
217C2×#215—51no—
218#939—102no—
219#938—101no—
220C2×#214—52no—
221C2×#214—51no—
222#932—104no—
223C2×#213—52no—
224C2×#213—51no—
225#930—52no—
226C2×C4⋊Dic3C2×D511yescharacteristic, complemented
227#924—52no—
228C2×#208—51no—
229C22×C3⋊C8C2×D511yescharacteristic, complemented
230#835—52no—
231#832—52no—
232#832C2×D512yescomplemented
233#832C2×D512yescomplemented
234#830—52no—
235#830—52no—
236C24×C5—21no—
237C23×D5—22no—
238C2×C5×D4—21no—
239C2×C5×D4—22no—
240C2×C5×D4#6714yescomplemented
241C2×C5×D4C22×D312yes—
242C22×C4×C5—61no—
243C22×C4×C5C22×D311yescharacteristic
244C2×C22⋊D5—216no—
245C2×C22⋊D5—21no—
246C2×C22⋊D5—22no—
247C2×C22⋊D5—22no—
248C2×C22⋊D5—61no—
249C2×C22⋊D5#6712yes—
250C22×Dic5—22no—
251#711—28no—
252#711—24no—
253#711—24no—
254D4×D5—28no—
255D4×D5—24no—
256D4×D5—24no—
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×D20#6711yescharacteristic
266C2×D20C22×D311yescharacteristic
267C2×C4×D5—21no—
268C2×C4×D5—61no—
269C2×C4×D5C22×D312yes—
270C2×Dic10—31no—
271C2×Dic10#6711yescharacteristic
272C2×Dic10C22×D311yescharacteristic
273C2×C5×C8—31no—
274C2×C5×C8—31no—
275C2×C5×C8—62no—
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—62no—
286D40—62no—
287#677—62no—
288#677—62no—
289C2×H(5,𝔽2)—51no—
290C2×AGL(1,ℤ/8)—151no—
291C2×#135—151no—
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—24no—
303C22×C3×C5—42no—
304C22×C3×C5—42no—
305C22×C3×C5—84no—
306C22×C3×C5#12012yes—
307C22×C3×C5C22×D411yescharacteristic
308C2×D15—41no—
309C2×D15—41no—
310C2×D15—41no—
311C2×C3×D5—22no—
312C2×C3×D5—22no—
313C2×C3×D5—22no—
314C2×C3×D5—22no—
315C2×C3×D5—41no—
316C2×C3×D5—41no—
317C2×C3×D5—88no—
318C3×C4×C5#12012yes—
319C3×C4×C5C22×D411yescharacteristic
320C3×C4×C5C22×D411yescharacteristic
321Dic15—41no—
322C3×Dic5—22no—
323C3×Dic5—22no—
324C5×Dic3—42no—
325C24×C3—21no—
326C24×C3—102no—
327C3×#41—54no—
328C3×#41—104no—
329C3×#41—108no—
330C3×#41—104no—
331C3×#41—102no—
332C3×#41—102no—
333C3×#41—102no—
334C2×C3×Q8—51no—
335C2×C3×Q8—51no—
336C2×C3×D4—21no—
337C2×C3×D4—22no—
338C2×C3×D4—52no—
339C2×C3×D4—51no—
340C2×C3×D4—51no—
341C2×C3×D4—102no—
342C2×C3×D4—104no—
343C2×C3×D4—108no—
344C2×C3×D4—102no—
345C2×C3×D4—1016no—
346C2×C3×D4—101no—
347C2×C3×D4—104no—
348C2×C3×D4D2014yescomplemented
349C2×C3×D4C22×D512yes—
350C22×C3×C4—52no—
351C22×C3×C4—102no—
352C22×C3×C4—101no—
353C22×C3×C4C22×D511yescharacteristic
354C2×#67—102no—
355C2×#67—101no—
356C22×Dic3—21no—
357#235—102no—
358#235—102no—
359C2×D12—51no—
360C2×C4×D3—101no—
361C2×Dic6—51no—
362#217—102no—
363#216—102no—
364#215—102no—
365#214—102no—
366#214—104no—
367#213—102no—
368#213—104no—
369(C2×D3)⋊C4—102no—
370C4⋊Dic3—21no—
371C4⋊Dic3C22×D512yes—
372Dic3⋊C4—102no—
373#208—102no—
374C2×C3⋊C8—22no—
375C2×C3⋊C8—52no—
376C2×C3⋊C8C22×D511yescharacteristic
377C2×C3⋊C8C22×D511yescharacteristic
378C23×C5—22no—
379C23×C5—24no—
380C23×C5—81no—
381C23×C5—81no—
382C23×C5C2×#6711yescharacteristic
383C22×D5—21no—
384C22×D5—28no—
385C22×D5—61no—
386C22×D5—82no—
387C22×D5—82no—
388C22×D5C2×#6712yes—
389C5×D4—24no—
390C5×D4—22no—
391C5×D4C2×#6714yes—
392C2×C4×C5—62no—
393C2×C4×C5—241no—
394C2×C4×C5C2×#6712yes—
395C2×C4×C5C2×#6711yescharacteristic
396C2×C4×C5C2×#6712yes—
397C2×C4×C5C23×D311yescharacteristic
398C22⋊D5—28no—
399C22⋊D5—28no—
400C22⋊D5—24no—
401C22⋊D5—24no—
402C22⋊D5—122no—
403C2×Dic5—28no—
404C2×Dic5—21no—
405C2×Dic5—61no—
406C2×Dic5C2×#6712yes—
407D20—22no—
408D20—21no—
409D20—61no—
410D20—61no—
411D20—242no—
412D20C2×#6712yes—
413C4×D5—24no—
414C4×D5—22no—
415C4×D5—22no—
416C4×D5—122no—
417Dic10—22no—
418Dic10—21no—
419Dic10—61no—
420Dic10—61no—
421Dic10C2×#6712yes—
422C5×C8—61no—
423C5×C8—61no—
424#168—62no—
425H(5,𝔽2)—104no—
426H(5,𝔽2)—104no—
427C2×#41—51no—
428C2×#41—52no—
429C2×#41—51no—
430C2×#41—101no—
431C2×#41—151no—
432C22×D4—52no—
433C22×D4—101no—
434C22×D4—102no—
435C22×D4D3×D511yescharacteristic
436AGL(1,ℤ/8)—304no—
437#135—304no—
438C2×Q16—151no—
439C2×SD16—151no—
440C2×SD16—151no—
441C2×SD16—152no—
442C2×D8—151no—
443C2×D8—152no—
444C2×M16—151no—
445C22×C8—31no—
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×C5—44no—
460C2×C3×C5C2×#12011yescharacteristic
461C2×C3×C5#57611yescharacteristic
462C2×C3×C5#57711yescharacteristic
463D15—81no—
464C3×D5—42no—
465C3×D5—42no—
466C23×C3—22no—
467C23×C3—24no—
468C23×C3—52no—
469C23×C3—81no—
470C23×C3—81no—
471C23×C3—108no—
472C23×C3—101no—
473C23×C3—402no—
474C23×C3—402no—
475C23×C3D4×D511yescharacteristic
476C22×D3—101no—
477C3×Q8—52no—
478C3×Q8—101no—
479C3×Q8—102no—
480C3×D4—22no—
481C3×D4—24no—
482C3×D4—52no—
483C3×D4—108no—
484C3×D4—108no—
485C3×D4—104no—
486C3×D4—104no—
487C3×D4—101no—
488C3×D4—102no—
489C3×D4C2×D2014yes—
490C2×C3×C4—52no—
491C2×C3×C4—108no—
492C2×C3×C4—101no—
493C2×C3×C4—102no—
494C2×C3×C4—102no—
495C2×C3×C4—104no—
496C2×C3×C4C2×D2012yes—
497C2×C3×C4D4×D512yes—
498C2×C3×C4D4×D511yescharacteristic
499C2×C3×C4C23×D511yescharacteristic
500#67—202no—
501#67—402no—
502C2×Dic3—22no—
503C2×Dic3—81no—
504C2×Dic3—101no—
505D12—101no—
506D12—101no—
507C4×D3—202no—
508Dic6—101no—
509Dic6—101no—
510C3⋊C8—21no—
511C3⋊C8—21no—
512C3⋊C8—102no—
513C22×C5—21no—
514C22×C5—21no—
515C22×C5—24no—
516C22×C5—42no—
517C22×C5—42no—
518C22×C5—84no—
519C22×C5#95312yes—
520C22×C5C22×#6711yescharacteristic
521C2×D5—22no—
522C2×D5—22no—
523C2×D5—22no—
524C2×D5—22no—
525C2×D5—41no—
526C2×D5—41no—
527C2×D5—88no—
528C2×D5—121no—
529C2×D5—121no—
530C2×D5—121no—
531C4×C5—122no—
532C4×C5#95312yes—
533C4×C5C22×#6711yescharacteristic
534C4×C5C22×#6711yescharacteristic
535Dic5—22no—
536Dic5—22no—
537Dic5—121no—
538C24—21no—
539C24—102no—
540#41—54no—
541#41—104no—
542#41—108no—
543#41—104no—
544#41—102no—
545#41—102no—
546#41—102no—
547#41—302no—
548#41—302no—
549C2×Q8—51no—
550C2×Q8—51no—
551C2×Q8—151no—
552C2×D4—21no—
553C2×D4—22no—
554C2×D4—52no—
555C2×D4—51no—
556C2×D4—51no—
557C2×D4—102no—
558C2×D4—104no—
559C2×D4—108no—
560C2×D4—102no—
561C2×D4—1016no—
562C2×D4—101no—
563C2×D4—104no—
564C2×D4—151no—
565C2×D4—302no—
566C2×D4—301no—
567C2×D4#120214yescomplemented
568C2×D4C2×D3×D512yes—
569C22×C4—52no—
570C22×C4—61no—
571C22×C4—102no—
572C22×C4—101no—
573C22×C4—301no—
574C22×C4C2×D3×D511yescharacteristic
575Q16—302no—
576SD16—302no—
577SD16—302no—
578SD16—304no—
579D8—302no—
580D8—304no—
581M16—302no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—62no—
585C2×C8—152no—
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—24no—
595C22×C3—42no—
596C22×C3—42no—
597C22×C3—84no—
598C22×C3—102no—
599C22×C3—102no—
600C22×C3—102no—
601C22×C3—102no—
602C22×C3—201no—
603C22×C3—201no—
604C22×C3—408no—
605C22×C3#402812yes—
606C22×C3C2×D4×D511yescharacteristic
607C2×D3—201no—
608C2×D3—201no—
609C2×D3—201no—
610C3×C4—102no—
611C3×C4—102no—
612C3×C4#402812yes—
613C3×C4C22×D2011yescharacteristic
614C3×C4C2×D4×D511yescharacteristic
615Dic3—42no—
616Dic3—201no—
617C2×C5—22no—
618C2×C5—44no—
619C2×C5#583511yescharacteristic
620C2×C5#583611yescharacteristic
621C2×C5C2×#95311yescharacteristic
622D5—42no—
623D5—42no—
624D5—241no—
625C23—22no—
626C23—24no—
627C23—52no—
628C23—81no—
629C23—81no—
630C23—108no—
631C23—101no—
632C23—301no—
633C23—402no—
634C23—402no—
635C23D5×#6711yescharacteristic
636Q8—52no—
637Q8—101no—
638Q8—102no—
639Q8—301no—
640Q8—301no—
641D4—22no—
642D4—24no—
643D4—52no—
644D4—108no—
645D4—108no—
646D4—104no—
647D4—104no—
648D4—101no—
649D4—102no—
650D4—301no—
651D4—301no—
652D4—602no—
653D4—1202no—
654D4C2×#120214yes—
655C2×C4—52no—
656C2×C4—62no—
657C2×C4—108no—
658C2×C4—101no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—104no—
662C2×C4—241no—
663C2×C4—301no—
664C2×C4—602no—
665C2×C4C2×#120212yes—
666C2×C4D5×#6712yes—
667C2×C4D5×#6711yescharacteristic
668C2×C4C22×D3×D511yescharacteristic
669C8—61no—
670C8—61no—
671C8—302no—
672C2×C3—22no—
673C2×C3—44no—
674C2×C3—202no—
675C2×C3—202no—
676C2×C3C2×#402811yescharacteristic
677C2×C3#6609111yescharacteristic
678C2×C3#6609611yescharacteristic
679D3—401no—
680C5#8410211yescharacteristic, complemented, Sylow
681C22—21no—
682C22—21no—
683C22—24no—
684C22—42no—
685C22—42no—
686C22—84no—
687C22—102no—
688C22—102no—
689C22—102no—
690C22—102no—
691C22—201no—
692C22—201no—
693C22—408no—
694C22—601no—
695C22—601no—
696C22—601no—
697C22#9156412yes—
698C22C2×D5×#6711yescharacteristic
699C4—102no—
700C4—102no—
701C4—122no—
702C4—601no—
703C4#9156412yes—
704C4C22×#120211yescharacteristic
705C4C2×D5×#6711yescharacteristic
706C3#1061047811yescharacteristic, complemented, Sylow
707C2—22no—
708C2—44no—
709C2—202no—
710C2—202no—
711C2—1201no—
712C2#1175469111yescharacteristic
713C2#1175470711yescharacteristic
714C2C2×#9156411yescharacteristic
subgroupG/H
centerC22C2×D5×#67
commutator, cosocleC2×C3×C4×C5C24
FrattiniC2×C4C22×D3×D5
FittingC22×C3×C5×D4C22
socleC22×C3×C5C22×D4
hypercenterC22×D4D3×D5
hypocenterC3×C5#3012
LCSG ▷ C2×C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#4144C2semidirect
2. C2×#91821C2semidirect
3. #11754605C2semidirect
4. C2×#91311C2semidirect
5. C2×C5×#832C2semidirect
6. #11749049C2semidirect
7. #11749045C2semidirect
8. #11749026C2semidirect
9. #11749022C2semidirect
10. #11748368C2semidirect
11. #11748342C2semidirect
14. C2×#6817C22semidirect
24. C2×#6716C22semidirect
26. C2×#6715C22semidirect
27. C2×#6710C22semidirect
28. C2×C5×C4⋊Dic3C22semidirect
29. C22×C5×C3⋊C8C22semidirect
32. #91450C22semidirect
34. #91360C22semidirect
35. C2×#6662C22semidirect
36. C2×#6658C22semidirect
38. C2×#6657C22semidirect
39. C2×#6653C22semidirect
40. C5×#832C22semidirect
41. C5×#832C22semidirect
42. #90970C22semidirect
43. #90964C22semidirect
44. #90955C22semidirect
45. #90955C22semidirect
47. C2×#4144D3semidirect
62. C2×C3×C5×D4D4semidirect
87. C3×#709D4semidirect
121. C2×#832D5semidirect
226. C2×C4⋊Dic3C2×D5semidirect
229. C22×C3⋊C8C2×D5semidirect
232. #832C2×D5semidirect
233. #832C2×D5semidirect
240. C2×C5×D4#67semidirect
262. #709#67semidirect
348. C2×C3×D4D20semidirect
567. C2×D4#1202semidirect
591. C3×C5#3012semidirect
680. C5#84102semidirect
706. C3#10610478semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#41442
C2×#918212
#117546052
C2×#913112
C2×C5×#8322
#117490492
#117490452
#117490262
#117490222
#117483682
#117483422
#106104783
#841025