Finite Group Databasebeta

← #13006163

Subgroups — #13006163

Order 1280.

7226 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C5×#41C211yesmaximal, characteristic, complemented
2#10619169C212yesmaximal, complemented
3#10617739C218yesmaximal, complemented
4#10617738C218yesmaximal, complemented
5#10617737C218yesmaximal, complemented
6#10617724C218yesmaximal, complemented
7#10617712C214yesmaximal, complemented
8#10617678C214yesmaximal, complemented
9#10617677C218yesmaximal, complemented
10#10617639C214yesmaximal, complemented
11#10617636C211yesmaximal, characteristic, complemented
12#10617626C211yesmaximal, characteristic, complemented
13#10617581C214yesmaximal, complemented
14C2×C4×#709C212yesmaximal, complemented
15C22×C5×#41C2211yescharacteristic
16C22×#709C2212yes—
17C4×C5×#41C2218yescomplemented
18C4×C5×#41C2214yescomplemented
19C4×C5×#41C2214yescomplemented
20C2×C4×C5×Q8C2212yescomplemented
21C2×C4×C5×D4C2214yes—
22C2×C4×C5×D4C2212yescomplemented
23C2×C5×#117C2211yescharacteristic
24C2×C5×#117C2212yescomplemented
25C22×C42×C5C2211yescharacteristic
26C22×C42×C5C2212yescomplemented
27#66167C2218yes—
28#66166C2218yes—
29#66164C2214yescomplemented
30#66162C2218yescomplemented
31#66159C2214yescomplemented
32#66150C2214yescomplemented
33#66139C2214yescomplemented
34#66138C2218yes—
35#66125C2218yescomplemented
36#66125C22116yescomplemented
37C2×C4×C22⋊D5C2218yes—
38C2×#4072C2212yes—
39#65917C22116yescomplemented
40#65916C22116yescomplemented
41#65914C22116yescomplemented
42#65912C22116yescomplemented
43#65898C22132yescomplemented
44#65896C22116yescomplemented
45#65895C22116yescomplemented
46#65894C22132yescomplemented
47#65891C22116yescomplemented
48#65882C22116yescomplemented
49#65881C22132yescomplemented
50#65872C22132yescomplemented
51#65869C2218yescomplemented
52#65868C22116yescomplemented
53#65862C22132yescomplemented
54#65860C2214yescomplemented
55#65859C2214yescomplemented
56#65858C2218yescomplemented
57#65853C2218yescomplemented
58#65852C2218yescomplemented
59#65851C2218yescomplemented
60#65849C22116yescomplemented
61#65844C2214yes—
62#65834C2214yescomplemented
63#65828C22116yescomplemented
64#65827C2214yes—
65#65817C2214yes—
66#65813C22116yescomplemented
67#65813C22116yescomplemented
68#65813C22116yescomplemented
69#65811C2214yes—
70#65811C2218yescomplemented
71C4×#709C2214yescomplemented
72C4×#709C2218yescomplemented
73C4×#709C2218yescomplemented
74C4×#709C2214yescomplemented
75C4×#709C22116yescomplemented
76C4×#709C2214yescomplemented
77C4×#709C2214yescomplemented
78C2×C4×D20C2214yescomplemented
79C2×#4018C2214yescomplemented
80C2×C42×D5C2214yescomplemented
81#65804C2214yescomplemented
82#65804C2218yescomplemented
83C2×C4×Dic10C2214yescomplemented
84#62686—51nomaximal, Sylow
85C2×C5×#41—28no—
86C2×C5×#41C2314yes—
87C2×C5×#41C2314yes—
88C22×C5×Q8C2311yescharacteristic
89C22×C5×D4C2312yes—
90C22×C5×D4C2311yescharacteristic
91C23×C4×C5C2312yes—
92C23×C4×C5C2312yes—
93C23×C4×C5C2314yes—
94C23×C4×C5C2311yescharacteristic
95C22×C22⋊D5C2314yes—
96C2×#709—216no—
97C2×#709C2314yes—
98C2×#709C2314yes—
99C2×#709C2314yes—
100C2×#709C2314yes—
101C2×#709C23116yes—
102C22×D20C2312yes—
103C22×C4×D5C2314yes—
104C22×C4×D5C2318yes—
105C22×Dic10C2312yes—
106C4×C5×Q8C2318yes—
107C4×C5×Q8C2318yes—
108C4×C5×D4C23116yes—
109C4×C5×D4C2318yes—
110C4×C5×D4C23116yes—
111C4×C5×D4C2318yes—
112C5×#117C2314yes—
113C5×#117C2318yes—
114C5×#117C2314yes—
115C5×#117C2318yes—
116C2×C5×C4⋊C4C2312yes—
117C2×C5×C4⋊C4C2314yes—
118C2×C5×C22⋊C4C2312yes—
119C2×C5×C22⋊C4C2314yes—
120C2×C42×C5C2314yes—
121C2×C42×C5C2312yes—
122C2×C42×C5C2318yes—
123C2×C42×C5C2312yes—
124C2×C42×C5C2312yes—
125C2×C42×C5C2311yescharacteristic
126C2×C42×C5C2311yescharacteristic
127C2×C42×C5C2312yes—
128C2×C42×C5C2314yes—
129C2×C42×C5C2314yes—
130C2×C42×C5C2314yes—
131#4099C23116yes—
132C2×C22⋊Dic5C2314yes—
133#4093C2318yes—
134#4092C23116yes—
135#4090C2318yes—
136#4086C2318yes—
137#4085C23132yes—
138#4084C23116yes—
139#4083C23116yes—
140#4082C2318yes—
141#4081C23116yes—
142#4076C23116yes—
143#4076C23116yes—
144#4076C23116yes—
145#4075C23116yes—
146#4075C23132yes—
147C4×C22⋊D5C23116yes—
148C4×C22⋊D5C23116yes—
149C4×C22⋊D5C23116yes—
150C4×C22⋊D5C23116yes—
151C4×C22⋊D5C23132yes—
152C4×C22⋊D5C23132yes—
153C2×#685C2318yes—
154#4072C2314yes—
155#4072C23116yes—
156#4072C2314yes—
157#4072C2314yes—
158#4072C2314yes—
159C2×C4⋊Dic5C2314yes—
160#4070C23116yes—
161#4070C23116yes—
162#4070C23116yes—
163C2×#683C2318yes—
164C2×C4×Dic5C2318yes—
165C2×C4×Dic5C2314yes—
166#4044C23132yes—
167#4043C23116yes—
168#4042C23132yes—
169#4041C23116yes—
170#4040C23132yes—
171#4036C23116yes—
172#4035C23132yes—
173#4034C23116yes—
174#4032C23116yes—
175#4031C23132yes—
176#4030C23132yes—
177#4029C23132yes—
178#4028C23116yes—
179#4025C23132yes—
180#4024C23132yes—
181#4022C23132yes—
182#4021C2318yes—
183#4021C23116yes—
184#4020C2314yes—
185C4×D20C2318yes—
186C4×D20C2318yes—
187C4×D20C2318yes—
188C4×D20C2318yes—
189C4×D20C23116yes—
190C4×D20C23116yes—
191#4018C2318yes—
192#4018C2318yes—
193#4018C23116yes—
194#4018C23132yes—
195C42×D5C2318yes—
196C42×D5C2318yes—
197C42×D5C23116yes—
198#4016C2318yes—
199#4016C23116yes—
200#4015C2314yes—
201#4015C2318yes—
202C4×Dic10C2318yes—
203C4×Dic10C2318yes—
204C4×Dic10C2318yes—
205C4×Dic10C2318yes—
206C4×Dic10C23116yes—
207C4×Dic10C23116yes—
208#3461—58no—
209#3461—54no—
210#3460—58no—
211#3460—54no—
212#3459—58no—
213#3458—51no—
214#3455—58no—
215#3455—54no—
216#3449—52no—
217#3449—51no—
218#3444—54no—
219#3444—58no—
220C2×C4×#41—52no—
221C2×C4×#41D511yescharacteristic, complemented
222C24×C5C2412yes—
223C24×C5C2411yescharacteristic
224C23×D5C2414yes—
225C5×#41—216no—
226C5×#41—216no—
227C2×C5×Q8—24no—
228C2×C5×Q8C2414yes—
229C2×C5×D4—28no—
230C2×C5×D4—24no—
231C2×C5×D4C2418yes—
232C2×C5×D4C2414yes—
233C22×C4×C5—28no—
234C22×C4×C5—44no—
235C22×C4×C5—48no—
236C22×C4×C5#4118yescomplemented
237C22×C4×C5C2412yes—
238C22×C4×C5C2412yes—
239C22×C4×C5C2414yes—
240C22×C4×C5C2414yes—
241C22×C4×C5C2414yes—
242C22×C4×C5C2418yes—
243C22×C4×C5C2414yes—
244C22×C4×C5C2412yes—
245C22×C4×C5C2414yes—
246C22×C4×C5C2418yes—
247C22×C4×C5C2411yescharacteristic
248C22×C4×C5C2411yescharacteristic
249C22×C4×C5C2412yes—
250C22×C4×C5C2412yes—
251C2×C22⋊D5—216no—
252C2×C22⋊D5C2418yes—
253C2×C22⋊D5C2418yes—
254C2×C22⋊D5C24132yes—
255C22×Dic5C2414yes—
256C22×Dic5C2418yes—
257#709—216no—
258#709—216no—
259#709—216no—
260#709—216no—
261#709—432no—
262C2×D20—28no—
263C2×D20C2414yes—
264C2×D20C2414yes—
265C2×D20C24116yes—
266C2×C4×D5—216no—
267C2×C4×D5—416no—
268C2×C4×D5C2418yes—
269C2×C4×D5C24116yes—
270C2×C4×D5C2418yes—
271C2×C4×D5C24116yes—
272C2×Dic10—28no—
273C2×Dic10C2414yes—
274C2×Dic10C2414yes—
275C2×Dic10C24116yes—
276C5×C4⋊C4C2418yes—
277C5×C4⋊C4C24116yes—
278C5×C22⋊C4C2418yes—
279C5×C22⋊C4C24116yes—
280C42×C5C2412yes—
281C42×C5C2411yescharacteristic
282C42×C5C2412yes—
283C42×C5C2414yes—
284C42×C5C2414yes—
285C42×C5C2412yes—
286C42×C5C2414yes—
287C42×C5C2414yes—
288C42×C5C2418yes—
289C42×C5C2418yes—
290C42×C5C2411yescharacteristic
291C22⋊Dic5C2418yes—
292C22⋊Dic5C2418yes—
293C22⋊Dic5C24132yes—
294#685C24116yes—
295#685C24116yes—
296#685C24132yes—
297#685C24132yes—
298C4⋊Dic5C2418yes—
299C4⋊Dic5C2418yes—
300C4⋊Dic5C24116yes—
301C4⋊Dic5C24116yes—
302#683C24116yes—
303#683C24116yes—
304#683C24132yes—
305#683C24132yes—
306C4×Dic5C2418yes—
307C4×Dic5C24116yes—
308C4×Dic5C24116yes—
309C4×Dic5C2418yes—
310C22×#41—52no—
311C22×#41C2×D511yescharacteristic
312#544—58no—
313#544—54no—
314#543—54no—
315#542—516no—
316#542—516no—
317#542—516no—
318#541—516no—
319#541—58no—
320#540—516no—
321#540—58no—
322#539—532no—
323#539—516no—
324#538—532no—
325#538—516no—
326#537—58no—
327#537—54no—
328#536—54no—
329#536—54no—
330#536—54no—
331#535—54no—
332#535—54no—
333#535—54no—
334#534—58no—
335#534—54no—
336#533—516no—
337#533—58no—
338#533—54no—
339#533—58no—
340#532—58no—
341#532—516no—
342#532—54no—
343#532—58no—
344#529—516no—
345#529—532no—
346#529—516no—
347#529—532no—
348#529—516no—
349#529—516no—
350#529—516no—
351#525—58no—
352#525—58no—
353#525—516no—
354#525—532no—
355#525—58no—
356C4×#41—54no—
357C4×#41—54no—
358C4×#41—54no—
359C4×#41—54no—
360C4×#41—58no—
361C4×#41—58no—
362C4×#41—516no—
363C4×#41C2×D514yescomplemented
364C4×#41C2×D514yescomplemented
365C4×#41C2×D518yescomplemented
366C2×C4×Q8—54no—
367C2×C4×Q8C2×D512yescomplemented
368C2×C4×D4—58no—
369C2×C4×D4—54no—
370C2×C4×D4C2×D514yes—
371C2×C4×D4C2×D512yescomplemented
372C2×#117—52no—
373C2×#117—54no—
374C2×#117C2×D511yescharacteristic
375C2×#117C2×D512yescomplemented
376C22×C42—54no—
377C22×C42C2×D511yescharacteristic
378C22×C42C2×D512yescomplemented
379C23×C5—24no—
380C23×C5—42no—
381C23×C5—44no—
382C23×C5C2×#4114yes—
383C23×C5C2514yes—
384C23×C5C2511yescharacteristic
385C23×C5C2512yes—
386C22×D5—28no—
387C22×D5—48no—
388C22×D5C2518yes—
389C5×Q8—28no—
390C5×D4—216no—
391C5×D4—28no—
392C2×C4×C5—24no—
393C2×C4×C5—28no—
394C2×C4×C5—28no—
395C2×C4×C5—28no—
396C2×C4×C5—216no—
397C2×C4×C5—24no—
398C2×C4×C5—44no—
399C2×C4×C5—48no—
400C2×C4×C5—42no—
401C2×C4×C5—44no—
402C2×C4×C5C2×#4118yes—
403C2×C4×C5C2×#4118yes—
404C2×C4×C5C2×#4114yes—
405C2×C4×C5C2×#4114yes—
406C2×C4×C5C2514yes—
407C2×C4×C5C2512yes—
408C2×C4×C5C2514yes—
409C2×C4×C5C2518yes—
410C2×C4×C5C2511yescharacteristic
411C2×C4×C5C2512yes—
412C2×C4×C5C2511yescharacteristic
413C2×C4×C5C2512yes—
414C22⋊D5—216no—
415C22⋊D5—216no—
416C22⋊D5—432no—
417C2×Dic5—28no—
418C2×Dic5—48no—
419C2×Dic5C2518yes—
420C2×Dic5C25116yes—
421D20—28no—
422D20—28no—
423D20—416no—
424C4×D5—216no—
425C4×D5—216no—
426C4×D5—232no—
427C4×D5—416no—
428Dic10—28no—
429Dic10—28no—
430Dic10—416no—
431C2×#41—28no—
432C2×#41—54no—
433C2×#41—54no—
434C2×#41—54no—
435C2×#41—54no—
436C2×#41—516no—
437C2×#41—1016no—
438C2×#41C22×D514yes—
439C2×#41C22×D514yes—
440C22×Q8—52no—
441C22×Q8C22×D511yescharacteristic
442C22×D4—54no—
443C22×D4—52no—
444C22×D4C22×D512yes—
445C22×D4C22×D511yescharacteristic
446C23×C4—54no—
447C23×C4—58no—
448C23×C4C22×D512yes—
449C23×C4C22×D512yes—
450C23×C4C22×D514yes—
451C23×C4C22×D511yescharacteristic
452C4⋊Q8—58no—
453C4⋊Q8—516no—
454C4⋊Q8—54no—
455C4⋊Q8—58no—
456#127—58no—
457#127—54no—
458#126—532no—
459#126—532no—
460#126—532no—
461#125—532no—
462#125—516no—
463#125—516no—
464#125—58no—
465#124—58no—
466#124—58no—
467#124—532no—
468#124—58no—
469#124—516no—
470#123—516no—
471#123—516no—
472#123—532no—
473#123—532no—
474#123—516no—
475#123—532no—
476C22⋊Q8—516no—
477C22⋊Q8—516no—
478C22⋊Q8—516no—
479C22⋊Q8—516no—
480C22⋊Q8—516no—
481C22⋊Q8—532no—
482C22⋊Q8—532no—
483#121—532no—
484#121—516no—
485#121—516no—
486#121—516no—
487#121—516no—
488#121—516no—
489#121—532no—
490#120—516no—
491#120—516no—
492#120—516no—
493C4×Q8—58no—
494C4×Q8—58no—
495C4×Q8—58no—
496C4×Q8—58no—
497C4×Q8—516no—
498C4×Q8—516no—
499C4×Q8C22×D518yes—
500C4×Q8C22×D518yes—
501C4×D4—516no—
502C4×D4—516no—
503C4×D4—516no—
504C4×D4—516no—
505C4×D4—532no—
506C4×D4—532no—
507C4×D4—58no—
508C4×D4—58no—
509C4×D4—58no—
510C4×D4—58no—
511C4×D4—516no—
512C4×D4—516no—
513C4×D4C22×D5116yes—
514C4×D4C22×D5116yes—
515C4×D4C22×D518yes—
516C4×D4C22×D518yes—
517#117—54no—
518#117—54no—
519#117—54no—
520#117—54no—
521#117—516no—
522#117—58no—
523#117—58no—
524#117—516no—
525#117—532no—
526#117C22×D514yes—
527#117C22×D514yes—
528#117C22×D518yes—
529#117C22×D518yes—
530C2×C4⋊C4—54no—
531C2×C4⋊C4—58no—
532C2×C4⋊C4C22×D512yes—
533C2×C4⋊C4C22×D514yes—
534C2×C22⋊C4—54no—
535C2×C22⋊C4—58no—
536C2×C22⋊C4C22×D512yes—
537C2×C22⋊C4C22×D514yes—
538C2×C42—54no—
539C2×C42—58no—
540C2×C42—58no—
541C2×C42—516no—
542C2×C42—58no—
543C2×C42C22×D512yes—
544C2×C42C22×D512yes—
545C2×C42C22×D511yescharacteristic
546C2×C42C22×D514yes—
547C2×C42C22×D514yes—
548C2×C42C22×D512yes—
549C2×C42C22×D514yes—
550C2×C42C22×D518yes—
551C2×C42C22×D514yes—
552C2×C42C22×D511yescharacteristic
553C2×C42C22×D512yes—
554C22×C5—24no—
555C22×C5—22no—
556C22×C5—24no—
557C22×C5—28no—
558C22×C5—44no—
559C22×C5—48no—
560C22×C5C22×#4114yes—
561C22×C5C22×#4112yes—
562C22×C5C2611yescharacteristic
563C2×D5—28no—
564C2×D5—216no—
565C2×D5—416no—
566C4×C5—24no—
567C4×C5—28no—
568C4×C5—24no—
569C4×C5—22no—
570C4×C5C22×#4112yes—
571C4×C5C22×#4114yes—
572C4×C5C22×#4112yes—
573C4×C5#58514yes—
574Dic5—28no—
575Dic5—216no—
576C24—54no—
577C24C23×D512yes—
578C24C23×D511yescharacteristic
579#41—216no—
580#41—216no—
581#41—1016no—
582#41—1016no—
583#41—1016no—
584#41—1016no—
585#41—2032no—
586C2×Q8—24no—
587C2×Q8—54no—
588C2×Q8—54no—
589C2×Q8—516no—
590C2×Q8—108no—
591C2×Q8C23×D514yes—
592C2×D4—28no—
593C2×D4—24no—
594C2×D4—58no—
595C2×D4—58no—
596C2×D4—532no—
597C2×D4—54no—
598C2×D4—54no—
599C2×D4—516no—
600C2×D4—1016no—
601C2×D4—108no—
602C2×D4C23×D518yes—
603C2×D4C23×D514yes—
604C22×C4—28no—
605C22×C4—44no—
606C22×C4—48no—
607C22×C4—54no—
608C22×C4—58no—
609C22×C4—58no—
610C22×C4—516no—
611C22×C4—58no—
612C22×C4—516no—
613C22×C4—1016no—
614C22×C4—2016no—
615C22×C4#70918yescomplemented
616C22×C4C23×D514yes—
617C22×C4C23×D512yes—
618C22×C4C23×D512yes—
619C22×C4C23×D518yes—
620C22×C4C23×D514yes—
621C22×C4C23×D514yes—
622C22×C4C23×D514yes—
623C22×C4C23×D512yes—
624C22×C4C23×D514yes—
625C22×C4C23×D518yes—
626C22×C4C23×D512yes—
627C22×C4C23×D511yescharacteristic
628C22×C4C23×D512yes—
629C22×C4C23×D511yescharacteristic
630C4⋊C4—58no—
631C4⋊C4—58no—
632C4⋊C4—516no—
633C4⋊C4—516no—
634C4⋊C4—532no—
635C4⋊C4—532no—
636C4⋊C4—516no—
637C4⋊C4—516no—
638C4⋊C4C23×D518yes—
639C4⋊C4C23×D5116yes—
640C22⋊C4—58no—
641C22⋊C4—58no—
642C22⋊C4—532no—
643C22⋊C4—516no—
644C22⋊C4—516no—
645C22⋊C4—532no—
646C22⋊C4—532no—
647C22⋊C4C23×D518yes—
648C22⋊C4C23×D5116yes—
649C42—58no—
650C42—516no—
651C42—58no—
652C42—516no—
653C42C23×D512yes—
654C42C23×D514yes—
655C42C23×D511yescharacteristic
656C42C23×D512yes—
657C42C23×D514yes—
658C42C23×D518yes—
659C42C23×D512yes—
660C42C23×D514yes—
661C42C23×D514yes—
662C42C23×D518yes—
663C42C23×D511yescharacteristic
664C2×C5—24no—
665C2×C5—22no—
666C2×C5—44no—
667C2×C5C23×#4111yescharacteristic
668C2×C5C2×#58512yes—
669D5—48no—
670C23—24no—
671C23—42no—
672C23—44no—
673C23—58no—
674C23—108no—
675C23—208no—
676C23C2×#70914yes—
677C23C24×D514yes—
678C23C24×D511yescharacteristic
679C23C24×D512yes—
680Q8—28no—
681Q8—108no—
682Q8—108no—
683Q8—2016no—
684D4—216no—
685D4—28no—
686D4—1016no—
687D4—1016no—
688D4—108no—
689D4—108no—
690D4—2016no—
691D4—2032no—
692C2×C4—24no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—24no—
696C2×C4—28no—
697C2×C4—216no—
698C2×C4—44no—
699C2×C4—48no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—58no—
703C2×C4—516no—
704C2×C4—108no—
705C2×C4—1016no—
706C2×C4—1016no—
707C2×C4—1032no—
708C2×C4—2016no—
709C2×C4—208no—
710C2×C4C2×#70914yes—
711C2×C4C2×#70918yes—
712C2×C4C2×#70914yes—
713C2×C4C2×#70918yes—
714C2×C4C24×D514yes—
715C2×C4C24×D512yes—
716C2×C4C24×D514yes—
717C2×C4C24×D518yes—
718C2×C4C24×D511yescharacteristic
719C2×C4C24×D512yes—
720C2×C4C24×D511yescharacteristic
721C2×C4C24×D512yes—
722C5#6268611yescharacteristic, complemented, Sylow
723C22—22no—
724C22—24no—
725C22—24no—
726C22—28no—
727C22—44no—
728C22—48no—
729C22—108no—
730C22—1016no—
731C22—2016no—
732C22C22×#70912yes—
733C22C22×#70914yes—
734C22C25×D511yescharacteristic
735C4—24no—
736C4—22no—
737C4—24no—
738C4—28no—
739C4—108no—
740C4—1016no—
741C4C22×#70912yes—
742C4C22×#70912yes—
743C4C22×#70914yes—
744C4#6628314yes—
745C2—22no—
746C2—24no—
747C2—44no—
748C2—208no—
749C2C23×#70911yescharacteristic
750C2C2×#6628312yes—
subgroupG/H
centerC42C23×D5
commutator, socle, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C4×C5×#41C2
hypercenterC2×C4×#41D5
hypocenterC5#62686
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×C4×C5×#41C2semidirect
2. #10619169C2semidirect
3. #10617739C2semidirect
4. #10617738C2semidirect
5. #10617737C2semidirect
6. #10617724C2semidirect
7. #10617712C2semidirect
8. #10617678C2semidirect
9. #10617677C2semidirect
10. #10617639C2semidirect
11. #10617636C2semidirect
12. #10617626C2semidirect
13. #10617581C2semidirect
14. C2×C4×#709C2semidirect
17. C4×C5×#41C22semidirect
18. C4×C5×#41C22semidirect
19. C4×C5×#41C22semidirect
20. C2×C4×C5×Q8C22semidirect
22. C2×C4×C5×D4C22semidirect
24. C2×C5×#117C22semidirect
26. C22×C42×C5C22semidirect
29. #66164C22semidirect
30. #66162C22semidirect
31. #66159C22semidirect
32. #66150C22semidirect
33. #66139C22semidirect
35. #66125C22semidirect
36. #66125C22semidirect
39. #65917C22semidirect
40. #65916C22semidirect
41. #65914C22semidirect
42. #65912C22semidirect
43. #65898C22semidirect
44. #65896C22semidirect
45. #65895C22semidirect
46. #65894C22semidirect
47. #65891C22semidirect
48. #65882C22semidirect
49. #65881C22semidirect
50. #65872C22semidirect
51. #65869C22semidirect
52. #65868C22semidirect
53. #65862C22semidirect
54. #65860C22semidirect
55. #65859C22semidirect
56. #65858C22semidirect
57. #65853C22semidirect
58. #65852C22semidirect
59. #65851C22semidirect
60. #65849C22semidirect
62. #65834C22semidirect
63. #65828C22semidirect
66. #65813C22semidirect
67. #65813C22semidirect
68. #65813C22semidirect
70. #65811C22semidirect
71. C4×#709C22semidirect
72. C4×#709C22semidirect
73. C4×#709C22semidirect
74. C4×#709C22semidirect
75. C4×#709C22semidirect
76. C4×#709C22semidirect
77. C4×#709C22semidirect
78. C2×C4×D20C22semidirect
79. C2×#4018C22semidirect
80. C2×C42×D5C22semidirect
81. #65804C22semidirect
82. #65804C22semidirect
83. C2×C4×Dic10C22semidirect
221. C2×C4×#41D5semidirect
236. C22×C4×C5#41semidirect
363. C4×#41C2×D5semidirect
364. C4×#41C2×D5semidirect
365. C4×#41C2×D5semidirect
367. C2×C4×Q8C2×D5semidirect
371. C2×C4×D4C2×D5semidirect
375. C2×#117C2×D5semidirect
378. C22×C42C2×D5semidirect
615. C22×C4#709semidirect
722. C5#62686semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C5×#412
#106191692
#106177392
#106177382
#106177372
#106177242
#106177122
#106176782
#106176772
#106176392
#106176362
#106176262
#106175812
C2×C4×#7092
#626865