Finite Group Databasebeta

← C2×#11753694 #14480621

Subgroups — C2×#11753694 #14480621

Order 1920.

3280 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6771C211yesmaximal, characteristic, complemented
2C22×#6769C211yesmaximal, characteristic, complemented
3C2×#91784C211yesmaximal, characteristic, complemented
4C2×C5×D3×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×C3×#4043C211yesmaximal, characteristic, complemented
6C2×#91460C212yesmaximal, complemented
7C2×#91459C212yesmaximal, complemented
8C2×#91454C212yesmaximal, complemented
9C2×#91450C211yesmaximal, characteristic, complemented
10C2×#91429C212yesmaximal, complemented
11C2×#91390C211yesmaximal, characteristic, complemented
12#11753694C2116yesmaximal, direct product factor
13C2×#65844—31nomaximal, Hall
14C22×D60C2211yescharacteristic
15C22×D60C2212yes—
16C22×C4×D15C2211yescharacteristic
17C22×C4×C5×D3C2212yes—
18C22×C4×C5×D3C2211yescharacteristic
19C22×C3×C4×D5C2211yescharacteristic
20C22×C3×Dic10C2211yescharacteristic
21C22×#1204C2211yescharacteristic
22C22×#1203C2212yes—
23C22×#1203C2211yescharacteristic
24C22×#1202C2211yescharacteristic
25C22×#1202C2212yes—
26C22×#1201C2211yescharacteristic
27C22×#1200C2212yes—
28C2×#6771—28no—
29C2×#6771C2218yescomplemented
30C2×#6769—28no—
31C2×#6769C2218yescomplemented
32C2×C3×C5×C4⋊C4C2211yescharacteristic
33C2×#6714C2212yes—
34#91784C2218yescomplemented
35C2×C5×C4⋊Dic3C2211yescharacteristic
36C2×C5×Dic3⋊C4C2212yes—
37C5×D3×C4⋊C4C2218yescomplemented
38C2×C3×#685C2212yes—
39C2×C3×C4⋊Dic5C2212yes—
40C3×#4043C2218yescomplemented
41C2×Dic3⋊Dic5C2212yes—
42C2×#6667C2212yes—
43C2×#6667C2212yes—
44#91460C22116yescomplemented
45#91459C22116yescomplemented
46#91454C22116yescomplemented
47#91450C2218yescomplemented
48#91429C22116yescomplemented
49#91390C2218yescomplemented
50C2×#5629—51nomaximal, Hall
51C22×#709—31no—
52C22×#709—31no—
53C22×C5×C4⋊C4—31no—
54C2×#4076—32no—
55C2×#4076—32no—
56#65844—316no—
57C2×#4043—32no—
58C2×#4043—31no—
59C2×#4043D311yescharacteristic, complemented
60C2×#4041—32no—
61C2×#4041—31no—
62C2×#4041—31no—
63C23×D15C2312yes—
64C23×D15C2311yescharacteristic
65C23×C5×D3C2311yescharacteristic
66C23×C3×D5C2311yescharacteristic
67C22×C3×C4×C5C2312yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2311yescharacteristic
70C2×D60—24no—
71C2×D60—44no—
72C2×D60C2314yes—
73C2×D60C2318yes—
74C2×C4×D15—24no—
75C2×C4×D15C2314yes—
76C22×C5×Dic3C2312yes—
77C22×C5×Dic3C2311yescharacteristic
78C2×C4×C5×D3—44no—
79C2×C4×C5×D3D418yescomplemented
80C2×C4×C5×D3C2318yes—
81C2×C4×C5×D3C2314yes—
82C22×C3×Dic5C2312yes—
83C22×C3×Dic5C2311yescharacteristic
84C2×C3×C4×D5—24no—
85C2×C3×C4×D5C2314yes—
86C2×C3×Dic10—24no—
87C2×C3×Dic10C2314yes—
88C2×#1204—24no—
89C2×#1204C2314yes—
90C2×#1203—28no—
91C2×#1203—24no—
92C2×#1203C2318yes—
93C2×#1203C2314yes—
94C2×#1202—24no—
95C2×#1202—44no—
96C2×#1202C2314yes—
97C2×#1202C2318yes—
98C2×#1201—24no—
99C2×#1201C2314yes—
100C2×#1200—28no—
101C2×#1200C2318yes—
102#6771—232no—
103#6769—232no—
104C3×C5×C4⋊C4C2314yes—
105#6714C2318yes—
106C5×C4⋊Dic3C2314yes—
107C5×Dic3⋊C4C2318yes—
108C3×#685C2318yes—
109C3×C4⋊Dic5C2318yes—
110Dic3⋊Dic5C2318yes—
111#6667C2318yes—
112#6667C2318yes—
113C22×#239—51no—
114C22×#235—51no—
115C2×C3×C22⋊Q8—51no—
116C2×#946—51no—
117C2×#930—51no—
118#5629—516no—
119C2×#896—52no—
120C2×#895—52no—
121C2×#895—51no—
122C2×D3×C4⋊C4D511yescharacteristic, complemented
123C2×#884—52no—
124C2×#884—52no—
125C23×C4×C5—31no—
126C23×C4×C5—32no—
127C22×C22⋊D5—31no—
128C22×C22⋊D5—31no—
129C22×C22⋊D5—32no—
130C2×#709—38no—
131C2×#709—38no—
132C2×#709—68no—
133C2×#709—68no—
134C22×D20—31no—
135C22×D20—31no—
136C22×D20—32no—
137C22×D20—32no—
138C22×C4×D5—31no—
139C22×C4×D5—32no—
140C22×C4×D5C2×D311yescharacteristic
141C22×Dic10—31no—
142C22×Dic10C2×D311yescharacteristic
143C2×C5×C4⋊C4—32no—
144C2×C5×C4⋊C4—31no—
145C2×C5×C4⋊C4—38no—
146C2×C5×C4⋊C4C2×D311yescharacteristic
147#4076—316no—
148#4076—316no—
149C2×#685—32no—
150C2×#685—32no—
151C2×#685—32no—
152C2×#685C2×D312yes—
153C2×C4⋊Dic5—32no—
154C2×C4⋊Dic5C2×D312yes—
155#4043—38no—
156#4043—316no—
157#4043C2×D318yescomplemented
158#4041—38no—
159#4041—38no—
160#4041—316no—
161C2×#537—151noSylow
162C23×C3×C5C2411yescharacteristic
163C22×D15—24no—
164C22×D15—22no—
165C22×D15—24no—
166C22×D15—22no—
167C22×D15—24no—
168C22×D15—22no—
169C22×D15C2412yes—
170C22×D15C2414yes—
171C22×C5×D3—22no—
172C22×C5×D3—22no—
173C22×C5×D3C2×D414yes—
174C22×C5×D3C2412yes—
175C22×C3×D5—22no—
176C22×C3×D5—22no—
177C22×C3×D5—22no—
178C22×C3×D5C2412yes—
179C2×C3×C4×C5—24no—
180C2×C3×C4×C5C2×D414yes—
181C2×C3×C4×C5C2414yes—
182C2×C3×C4×C5C2412yes—
183C2×Dic15—22no—
184C2×Dic15C2412yes—
185D60—28no—
186D60—48no—
187C4×D15—28no—
188C2×C5×Dic3—24no—
189C2×C5×Dic3C2×D414yes—
190C2×C5×Dic3C2414yes—
191C2×C5×Dic3C2412yes—
192C4×C5×D3—48no—
193C4×C5×D3C2×D4116yescomplemented
194C2×C3×Dic5—24no—
195C2×C3×Dic5—22no—
196C2×C3×Dic5C2412yes—
197C2×C3×Dic5C2414yes—
198C3×C4×D5—28no—
199C3×Dic10—28no—
200#1204—28no—
201#1203—216no—
202#1203—28no—
203#1202—28no—
204#1202—48no—
205#1201—28no—
206#1200—216no—
207C22×C3×Q8—51no—
208C23×C3×C4—51no—
209C22×#67—51no—
210C22×#67—51no—
211C22×#67—52no—
212C2×#239—58no—
213C2×#239—108no—
214C2×#235—58no—
215C2×#235—108no—
216C22×D12—51no—
217C22×D12—52no—
218C22×D12—51no—
219C22×D12—52no—
220C22×C4×D3—51no—
221C22×C4×D3—52no—
222C22×C4×D3C2×D512yes—
223C22×C4×D3C2×D511yescharacteristic
224C22×Dic6—51no—
225C3×C22⋊Q8—58no—
226C2×C3×C4⋊C4—52no—
227C2×C3×C4⋊C4C2×D511yescharacteristic
228C2×C3×C22⋊C4—52no—
229#946—58no—
230#930—58no—
231C2×(C2×D3)⋊C4—52no—
232C2×(C2×D3)⋊C4—52no—
233C2×(C2×D3)⋊C4—52no—
234C2×C4⋊Dic3C2×D511yescharacteristic
235C2×Dic3⋊C4—52no—
236C2×Dic3⋊C4C2×D512yes—
237#896—516no—
238#895—516no—
239#895—58no—
240D3×C4⋊C4C2×D518yescomplemented
241#884—516no—
242#884—516no—
243C24×C5—31no—
244C23×D5—31no—
245C23×D5—32no—
246C23×D5C22×D311yescharacteristic
247C22×C4×C5—31no—
248C22×C4×C5—38no—
249C22×C4×C5—34no—
250C22×C4×C5—32no—
251C22×C4×C5—38no—
252C22×C4×C5—124no—
253C22×C4×C5C22×D312yes—
254C22×C4×C5C22×D311yescharacteristic
255C2×C22⋊D5—34no—
256C2×C22⋊D5—38no—
257C2×C22⋊D5—34no—
258C2×C22⋊D5—68no—
259C2×C22⋊D5—64no—
260C2×C22⋊D5—64no—
261C22×Dic5—31no—
262C22×Dic5C22×D311yescharacteristic
263C22×Dic5C22×D312yes—
264#709—632no—
265#709—632no—
266C2×D20—34no—
267C2×D20—34no—
268C2×D20—38no—
269C2×D20—38no—
270C2×D20—64no—
271C2×D20—64no—
272C2×D20—124no—
273C2×D20—124no—
274C2×C4×D5—24no—
275C2×C4×D5—34no—
276C2×C4×D5—38no—
277C2×C4×D5—68no—
278C2×C4×D5—64no—
279C2×C4×D5C22×D314yes—
280C2×Dic10—24no—
281C2×Dic10—34no—
282C2×Dic10—64no—
283C2×Dic10C22×D314yes—
284C5×C4⋊C4—38no—
285C5×C4⋊C4—34no—
286C5×C4⋊C4C22×D314yes—
287#685—38no—
288#685—38no—
289#685—38no—
290#685C22×D318yes—
291C4⋊Dic5—38no—
292C4⋊Dic5C22×D318yes—
293C22×#41—151no—
294C22×#41—151no—
295#537—1516no—
296C2×C22⋊Q8—51no—
297C2×C22⋊Q8—152no—
298C2×C22⋊Q8—151no—
299C2×#121—152no—
300C2×#121—152no—
301C2×#121—151no—
302C2×#121—152no—
303C2×#121—151no—
304C22×C4⋊C4—31no—
305C22×C3×C5C22×D412yes—
306C22×C3×C5H(5,𝔽2)12yes—
307C22×C3×C52−1+412yes—
308C22×C3×C5C2511yescharacteristic
309C2×D15—24no—
310C2×D15—22no—
311C2×D15—24no—
312C2×D15—22no—
313C2×D15—22no—
314C2×D15—24no—
315C2×D15—48no—
316C2×D15—44no—
317C2×C5×D3—28no—
318C2×C5×D3—22no—
319C2×C5×D3—22no—
320C2×C5×D3C22×D414yes—
321C2×C3×D5—22no—
322C2×C3×D5—22no—
323C2×C3×D5—22no—
324C2×C3×D5—44no—
325C3×C4×C5—24no—
326C3×C4×C5C22×D414yes—
327Dic15—22no—
328C3×Dic5—24no—
329C3×Dic5—22no—
330C5×Dic3—24no—
331C5×Dic3C22×D414yes—
332C24×C3—51no—
333C23×D3—52no—
334C23×D3—51no—
335C23×D3C22×D511yescharacteristic
336C2×C3×Q8—54no—
337C2×C3×Q8—104no—
338C22×C3×C4—52no—
339C22×C3×C4—51no—
340C22×C3×C4—54no—
341C22×C3×C4—104no—
342C22×C3×C4C22×D512yes—
343C22×C3×C4C22×D511yescharacteristic
344C2×#67—54no—
345C2×#67—54no—
346C2×#67—58no—
347C2×#67—104no—
348C2×#67—104no—
349C2×#67—204no—
350C22×Dic3—51no—
351C22×Dic3C22×D512yes—
352C22×Dic3C22×D511yescharacteristic
353#239—1032no—
354#235—1032no—
355C2×D12—58no—
356C2×D12—54no—
357C2×D12—54no—
358C2×D12—58no—
359C2×D12—104no—
360C2×D12—108no—
361C2×D12—104no—
362C2×D12—204no—
363C2×C4×D3—44no—
364C2×C4×D3—54no—
365C2×C4×D3—58no—
366C2×C4×D3—104no—
367C2×C4×D3—108no—
368C2×C4×D3D2018yescomplemented
369C2×C4×D3C22×D518yes—
370C2×C4×D3C22×D514yes—
371C2×Dic6—54no—
372C2×Dic6—104no—
373C3×C4⋊C4—58no—
374C3×C4⋊C4C22×D514yes—
375C3×C22⋊C4—58no—
376(C2×D3)⋊C4—58no—
377(C2×D3)⋊C4—58no—
378(C2×D3)⋊C4—58no—
379C4⋊Dic3C22×D514yes—
380Dic3⋊C4—58no—
381Dic3⋊C4C22×D518yes—
382C23×C5—34no—
383C23×C5—32no—
384C23×C5—62no—
385C23×C5—62no—
386C23×C5C23×D311yescharacteristic
387C22×D5—22no—
388C22×D5—22no—
389C22×D5—22no—
390C22×D5—34no—
391C22×D5—32no—
392C22×D5—64no—
393C22×D5—62no—
394C22×D5—62no—
395C22×D5—64no—
396C22×D5—62no—
397C22×D5—64no—
398C22×D5C23×D312yes—
399C2×C4×C5—24no—
400C2×C4×C5—34no—
401C2×C4×C5—32no—
402C2×C4×C5—316no—
403C2×C4×C5—34no—
404C2×C4×C5—64no—
405C2×C4×C5—128no—
406C2×C4×C5D3×D414yes—
407C2×C4×C5C23×D314yes—
408C2×C4×C5C23×D312yes—
409C22⋊D5—616no—
410C22⋊D5—68no—
411C22⋊D5—68no—
412C2×Dic5—24no—
413C2×Dic5—22no—
414C2×Dic5—32no—
415C2×Dic5—62no—
416C2×Dic5C23×D314yes—
417C2×Dic5C23×D312yes—
418D20—68no—
419D20—68no—
420D20—128no—
421D20—128no—
422C4×D5—28no—
423C4×D5—616no—
424C4×D5—68no—
425Dic10—28no—
426Dic10—68no—
427C2×#41—158no—
428C2×#41—158no—
429C2×#41—308no—
430C2×#41—308no—
431C22×Q8—51no—
432C22×Q8—151no—
433C22×D4—151no—
434C22×D4—152no—
435C22×D4—152no—
436C22×D4—151no—
437C22×D4—151no—
438C22×D4—151no—
439C22×D4—152no—
440C23×C4—31no—
441C23×C4—32no—
442C23×C4—51no—
443C23×C4—152no—
444C23×C4—151no—
445C22⋊Q8—58no—
446C22⋊Q8—1516no—
447C22⋊Q8—158no—
448#121—1516no—
449#121—1516no—
450#121—158no—
451#121—1516no—
452#121—158no—
453C2×C4⋊C4—32no—
454C2×C4⋊C4—31no—
455C2×C4⋊C4—38no—
456C2×C4⋊C4—52no—
457C2×C4⋊C4—152no—
458C2×C4⋊C4D3×D511yescharacteristic
459C2×C22⋊C4—52no—
460C2×C22⋊C4—152no—
461C2×C22⋊C4—152no—
462C2×C22⋊C4—152no—
463C2×C3×C5#53714yescomplemented
464C2×C3×C5C23×D411yescharacteristic
465C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
466C2×C3×C5C2×2−1+411yescharacteristic
467D15—44no—
468D15—42no—
469C3×D5—42no—
470C5×D3—24no—
471C23×C3—52no—
472C23×C3—102no—
473C23×C3—102no—
474C23×C3—102no—
475C23×C3C23×D511yescharacteristic
476C22×D3—22no—
477C22×D3—22no—
478C22×D3—54no—
479C22×D3—52no—
480C22×D3—104no—
481C22×D3—102no—
482C22×D3—102no—
483C22×D3—104no—
484C22×D3—104no—
485C22×D3—102no—
486C22×D3C2×D2014yes—
487C22×D3C23×D512yes—
488C3×Q8—108no—
489C2×C3×C4—24no—
490C2×C3×C4—54no—
491C2×C3×C4—52no—
492C2×C3×C4—102no—
493C2×C3×C4—104no—
494C2×C3×C4—108no—
495C2×C3×C4C2×D2014yes—
496C2×C3×C4C23×D514yes—
497C2×C3×C4C23×D512yes—
498#67—108no—
499#67—108no—
500#67—208no—
501C2×Dic3—24no—
502C2×Dic3—52no—
503C2×Dic3—102no—
504C2×Dic3C2×D2014yes—
505C2×Dic3C23×D514yes—
506C2×Dic3C23×D512yes—
507D12—108no—
508D12—1016no—
509D12—108no—
510D12—208no—
511C4×D3—48no—
512C4×D3—108no—
513C4×D3—1016no—
514C4×D3C2×D20116yescomplemented
515Dic6—108no—
516C22×C5—34no—
517C22×C5—62no—
518C22×C5—62no—
519C22×C5—68no—
520C22×C5C2×D3×D412yes—
521C22×C5#100712yes—
522C22×C5#100912yes—
523C22×C5C24×D311yescharacteristic
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—22no—
527C2×D5—44no—
528C2×D5—64no—
529C2×D5—62no—
530C2×D5—62no—
531C2×D5—64no—
532C2×D5—64no—
533C2×D5—62no—
534C2×D5—128no—
535C2×D5—124no—
536C4×C5—24no—
537C4×C5—34no—
538C4×C5—64no—
539C4×C5C2×D3×D414yes—
540Dic5—24no—
541Dic5—22no—
542Dic5—62no—
543C24—31no—
544C24—51no—
545C24—151no—
546C24—152no—
547#41—3032no—
548#41—3032no—
549C2×Q8—54no—
550C2×Q8—104no—
551C2×Q8—154no—
552C2×Q8—304no—
553C2×D4—154no—
554C2×D4—158no—
555C2×D4—158no—
556C2×D4—154no—
557C2×D4—154no—
558C2×D4—154no—
559C2×D4—158no—
560C2×D4—304no—
561C2×D4—304no—
562C2×D4—308no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—604no—
566C2×D4—604no—
567C22×C4—31no—
568C22×C4—38no—
569C22×C4—34no—
570C22×C4—32no—
571C22×C4—38no—
572C22×C4—52no—
573C22×C4—51no—
574C22×C4—54no—
575C22×C4—104no—
576C22×C4—124no—
577C22×C4—158no—
578C22×C4—151no—
579C22×C4—154no—
580C22×C4—308no—
581C22×C4—304no—
582C22×C4C2×D3×D512yes—
583C22×C4C2×D3×D511yescharacteristic
584C4⋊C4—38no—
585C4⋊C4—34no—
586C4⋊C4—58no—
587C4⋊C4—158no—
588C4⋊C4C2×D3×D514yes—
589C22⋊C4—58no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4—158no—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—102no—
595C22×C3—102no—
596C22×C3—102no—
597C22×C3—204no—
598C22×C3C22×D2012yes—
599C22×C3#414412yes—
600C22×C3#414712yes—
601C22×C3C24×D511yescharacteristic
602C2×D3—28no—
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—104no—
606C2×D3—102no—
607C2×D3—102no—
608C2×D3—104no—
609C2×D3—104no—
610C2×D3—102no—
611C2×D3—208no—
612C2×D3—204no—
613C2×D3C22×D2014yes—
614C3×C4—24no—
615C3×C4—102no—
616C3×C4—104no—
617C3×C4C22×D2014yes—
618Dic3—24no—
619Dic3—102no—
620Dic3C22×D2014yes—
621C2×C5—64no—
622C2×C5#562914yescomplemented
623C2×C5C22×D3×D411yescharacteristic
624C2×C5C2×#100711yescharacteristic
625C2×C5C2×#100911yescharacteristic
626D5—42no—
627D5—124no—
628D5—122no—
629C23—34no—
630C23—32no—
631C23—52no—
632C23—62no—
633C23—62no—
634C23—102no—
635C23—102no—
636C23—102no—
637C23—152no—
638C23—154no—
639C23—304no—
640C23—302no—
641C23—302no—
642C23—304no—
643C23—302no—
644C23—304no—
645C23C22×D3×D511yescharacteristic
646Q8—108no—
647Q8—308no—
648D4—308no—
649D4—308no—
650D4—3016no—
651D4—308no—
652D4—308no—
653D4—608no—
654D4—608no—
655C2×C4—24no—
656C2×C4—34no—
657C2×C4—32no—
658C2×C4—316no—
659C2×C4—34no—
660C2×C4—54no—
661C2×C4—52no—
662C2×C4—64no—
663C2×C4—102no—
664C2×C4—104no—
665C2×C4—108no—
666C2×C4—128no—
667C2×C4—152no—
668C2×C4—3016no—
669C2×C4—302no—
670C2×C4—308no—
671C2×C4D3×D2014yes—
672C2×C4C22×D3×D514yes—
673C2×C4C22×D3×D512yes—
674C2×C3—202no—
675C2×C3#6584414yescomplemented
676C2×C3C23×D2011yescharacteristic
677C2×C3C2×#414411yescharacteristic
678C2×C3C2×#414711yescharacteristic
679D3—24no—
680D3—204no—
681D3—202no—
682C5C2×#562911yescharacteristic, complemented, Sylow
683C22—34no—
684C22—68no—
685C22—62no—
686C22—62no—
687C22—102no—
688C22—102no—
689C22—102no—
690C22—204no—
691C22—304no—
692C22—302no—
693C22—302no—
694C22—304no—
695C22—302no—
696C22—304no—
697C22—608no—
698C22—604no—
699C22C2×D3×D2012yes—
700C22#9202712yes—
701C22#9202912yes—
702C22C23×D3×D511yescharacteristic
703C4—24no—
704C4—34no—
705C4—64no—
706C4—102no—
707C4—104no—
708C4—302no—
709C4C2×D3×D2014yes—
710C3C2×#6584411yescharacteristic, complemented, Sylow
711C2—64no—
712C2—202no—
713C2—604no—
714C2—602no—
715C2#1175369414yesdirect product factor
716C2C22×D3×D2011yescharacteristic
717C2C2×#9202711yescharacteristic
718C2C2×#9202911yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6771C2semidirect
2. C22×#6769C2semidirect
3. C2×#91784C2semidirect
4. C2×C5×D3×C4⋊C4C2semidirect
5. C2×C3×#4043C2semidirect
6. C2×#91460C2semidirect
7. C2×#91459C2semidirect
8. C2×#91454C2semidirect
9. C2×#91450C2semidirect
10. C2×#91429C2semidirect
11. C2×#91390C2semidirect
12. #11753694C2direct (N × H)
29. C2×#6771C22semidirect
31. C2×#6769C22semidirect
34. #91784C22semidirect
37. C5×D3×C4⋊C4C22semidirect
40. C3×#4043C22semidirect
44. #91460C22semidirect
45. #91459C22semidirect
46. #91454C22semidirect
47. #91450C22semidirect
48. #91429C22semidirect
49. #91390C22semidirect
59. C2×#4043D3semidirect
79. C2×C4×C5×D3D4semidirect
122. C2×D3×C4⋊C4D5semidirect
157. #4043C2×D3semidirect
193. C4×C5×D3C2×D4semidirect
240. D3×C4⋊C4C2×D5semidirect
368. C2×C4×D3D20semidirect
463. C2×C3×C5#537semidirect
514. C4×D3C2×D20semidirect
593. C3×C5C2×#537semidirect
622. C2×C5#5629semidirect
675. C2×C3#65844semidirect
682. C5C2×#5629semidirect
710. C3C2×#65844semidirect
715. C2#11753694direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67712
C22×#67692
C2×#917842
C2×C5×D3×C4⋊C42
C2×C3×#40432
C2×#914602
C2×#914592
C2×#914542
C2×#914502
C2×#914292
C2×#913902
#117536942
C2×#658443
C2×#56295