Finite Group Databasebeta

← C2×#11753441 #14480620

Subgroups — C2×#11753441 #14480620

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×#6765C211yesmaximal, characteristic, complemented
3C2×#91786C211yesmaximal, characteristic, complemented
4C2×C5×D3×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×C3×#4041C211yesmaximal, characteristic, complemented
6C2×#91465C211yesmaximal, characteristic, complemented
7C2×#91456C212yesmaximal, complemented
8C2×#91454C212yesmaximal, complemented
9C2×#91422C212yesmaximal, complemented
10C2×#91409C212yesmaximal, complemented
11C2×#91360C211yesmaximal, characteristic, complemented
12#11753441C2116yesmaximal, direct product factor
13C2×#65844—31nomaximal, Hall
14C22×C4×D15C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C4×C5×D3C2212yes—
17C22×C4×C5×D3C2211yescharacteristic
18C22×C3×D20C2211yescharacteristic
19C22×C3×D20C2212yes—
20C22×C3×C4×D5C2211yescharacteristic
21C22×#1204C2211yescharacteristic
22C22×#1203C2211yescharacteristic
23C22×#1202C2211yescharacteristic
24C22×#1202C2212yes—
25C22×#1201C2212yes—
26C22×#1201C2211yescharacteristic
27C22×D5×Dic3C2212yes—
28C2×#6771—28no—
29C2×#6771C2218yescomplemented
30C2×#6765—28no—
31C2×#6765C2218yescomplemented
32C2×C3×C5×C4⋊C4C2211yescharacteristic
33C2×#6714C2212yes—
34C2×C4⋊Dic15C2212yes—
35#91786C2218yescomplemented
36C2×C5×C4⋊Dic3C2211yescharacteristic
37C2×C5×Dic3⋊C4C2212yes—
38C5×D3×C4⋊C4C2218yescomplemented
39C2×C3×#685C2212yes—
40C3×#4041C2218yescomplemented
41C2×Dic3⋊Dic5C2212yes—
42C2×#6665C2212yes—
43C2×#6665C2212yes—
44#91465C2218yescomplemented
45#91456C22116yescomplemented
46#91454C22116yescomplemented
47#91422C22116yescomplemented
48#91409C22116yescomplemented
49#91360C2218yescomplemented
50C2×#5608—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×#4043—31no—
60C2×#4041—31no—
61C2×#4041—32no—
62C2×#4041D311yescharacteristic, complemented
63C23×D15C2311yescharacteristic
64C23×C5×D3C2311yescharacteristic
65C23×C3×D5C2312yes—
66C23×C3×D5C2311yescharacteristic
67C22×C3×C4×C5C2312yes—
68C22×C3×C4×C5C2311yescharacteristic
69C22×Dic15C2312yes—
70C22×Dic15C2311yescharacteristic
71C2×C4×D15—24no—
72C2×C4×D15C2314yes—
73C2×Dic30—24no—
74C2×Dic30C2314yes—
75C22×C5×Dic3C2312yes—
76C22×C5×Dic3C2311yescharacteristic
77C2×C4×C5×D3—44no—
78C2×C4×C5×D3D418yescomplemented
79C2×C4×C5×D3C2318yes—
80C2×C4×C5×D3C2314yes—
81C22×C3×Dic5C2311yescharacteristic
82C2×C3×D20—24no—
83C2×C3×D20—44no—
84C2×C3×D20C2314yes—
85C2×C3×D20C2318yes—
86C2×C3×C4×D5—24no—
87C2×C3×C4×D5C2314yes—
88C2×#1204—24no—
89C2×#1204C2314yes—
90C2×#1203—24no—
91C2×#1203C2314yes—
92C2×#1202—24no—
93C2×#1202—44no—
94C2×#1202C2314yes—
95C2×#1202C2318yes—
96C2×#1201—28no—
97C2×#1201—24no—
98C2×#1201C2318yes—
99C2×#1201C2314yes—
100C2×D5×Dic3—28no—
101C2×D5×Dic3C2318yes—
102#6771—232no—
103#6765—232no—
104C3×C5×C4⋊C4C2314yes—
105#6714C2318yes—
106C4⋊Dic15C2318yes—
107C5×C4⋊Dic3C2314yes—
108C5×Dic3⋊C4C2318yes—
109C3×#685C2318yes—
110Dic3⋊Dic5C2318yes—
111#6665C2318yes—
112#6665C2318yes—
113C22×#237—51no—
114C22×#235—51no—
115C2×C3×#121—51no—
116C2×#939—52no—
117C2×#938—52no—
118C2×#938—51no—
119C2×#924—51no—
120#5608—516no—
121C2×#897—51no—
122C2×D3×C4⋊C4D511yescharacteristic, complemented
123C2×#884—52no—
124C2×#878—52no—
125C23×C4×C5—31no—
126C23×C4×C5—32no—
127C22×C22⋊D5—32no—
128C22×C22⋊D5—31no—
129C22×C22⋊D5—31no—
130C2×#709—38no—
131C2×#709—38no—
132C2×#709—68no—
133C2×#709—68no—
134C22×D20—31no—
135C22×D20—32no—
136C22×D20C2×D311yescharacteristic
137C22×D20C2×D312yes—
138C22×C4×D5—32no—
139C22×C4×D5—31no—
140C22×C4×D5C2×D311yescharacteristic
141C22×Dic10—31no—
142C22×Dic10—31no—
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⋊Dic5—32no—
155#4043—38no—
156#4043—38no—
157#4043—316no—
158#4041—316no—
159#4041—38no—
160#4041C2×D318yescomplemented
161C2×#537—151noSylow
162C23×C3×C5C2411yescharacteristic
163C22×D15—22no—
164C22×D15—22no—
165C22×D15—22no—
166C22×D15C2412yes—
167C22×C5×D3—22no—
168C22×C5×D3—22no—
169C22×C5×D3C2×D414yes—
170C22×C5×D3C2412yes—
171C22×C3×D5—24no—
172C22×C3×D5—22no—
173C22×C3×D5—24no—
174C22×C3×D5—22no—
175C22×C3×D5—24no—
176C22×C3×D5—22no—
177C22×C3×D5C2412yes—
178C22×C3×D5C2414yes—
179C2×C3×C4×C5—24no—
180C2×C3×C4×C5C2×D414yes—
181C2×C3×C4×C5C2414yes—
182C2×C3×C4×C5C2412yes—
183C2×Dic15—24no—
184C2×Dic15—22no—
185C2×Dic15C2412yes—
186C2×Dic15C2414yes—
187C4×D15—28no—
188Dic30—28no—
189C2×C5×Dic3—24no—
190C2×C5×Dic3C2×D414yes—
191C2×C5×Dic3C2414yes—
192C2×C5×Dic3C2412yes—
193C4×C5×D3—48no—
194C4×C5×D3C2×D4116yescomplemented
195C2×C3×Dic5—22no—
196C2×C3×Dic5C2412yes—
197C3×D20—28no—
198C3×D20—48no—
199C3×C4×D5—28no—
200#1204—28no—
201#1203—28no—
202#1202—28no—
203#1202—48no—
204#1201—216no—
205#1201—28no—
206D5×Dic3—216no—
207C22×C3×D4—51no—
208C22×C3×D4—52no—
209C23×C3×C4—51no—
210C22×#67—51no—
211C22×#67—52no—
212C22×#67—51no—
213C22×#67—52no—
214C23×Dic3—52no—
215C2×#237—58no—
216C2×#237—108no—
217C2×#235—58no—
218C2×#235—108no—
219C22×D12—51no—
220C22×C4×D3—51no—
221C22×C4×D3C2×D512yes—
222C22×C4×D3C2×D511yescharacteristic
223C22×Dic6—51no—
224C22×Dic6—51no—
225C3×#121—58no—
226C2×C3×C4⋊C4C2×D511yescharacteristic
227C2×C3×C22⋊C4—52no—
228C2×#217—52no—
229C2×#217—52no—
230#939—516no—
231#938—516no—
232#938—58no—
233C2×(C2×D3)⋊C4—52no—
234C2×C4⋊Dic3—52no—
235C2×C4⋊Dic3C2×D511yescharacteristic
236#924—58no—
237C2×Dic3⋊C4—52no—
238C2×Dic3⋊C4C2×D512yes—
239#897—58no—
240D3×C4⋊C4C2×D518yescomplemented
241#884—516no—
242#878—516no—
243C24×C5—31no—
244C23×D5—31no—
245C23×D5C22×D312yes—
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—64no—
259C2×C22⋊D5—64no—
260C2×C22⋊D5—68no—
261C22×Dic5—32no—
262C22×Dic5—31no—
263C22×Dic5C22×D311yescharacteristic
264#709—632no—
265#709—632no—
266C2×D20—24no—
267C2×D20—34no—
268C2×D20—38no—
269C2×D20—44no—
270C2×D20—64no—
271C2×D20—124no—
272C2×D20C22×D314yes—
273C2×D20C22×D318yes—
274C2×C4×D5—24no—
275C2×C4×D5—38no—
276C2×C4×D5—34no—
277C2×C4×D5—68no—
278C2×C4×D5—64no—
279C2×C4×D5C22×D314yes—
280C2×Dic10—34no—
281C2×Dic10—34no—
282C2×Dic10—64no—
283C2×Dic10—64no—
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⋊Dic5—38no—
293C22×#41—151no—
294C22×#41—151no—
295#537—1516no—
296C2×C22⋊Q8—152no—
297C2×C22⋊Q8—151no—
298C2×C22⋊Q8—151no—
299C2×#121—51no—
300C2×#121—152no—
301C2×#121—151no—
302C2×#121—152no—
303C2×#121—152no—
304C22×C4⋊C4—31no—
305C22×C3×C5C22×D412yes—
306C22×C3×C5H(5,𝔽2)12yes—
307C22×C3×C52−1+412yes—
308C22×C3×C5C2511yescharacteristic
309C2×D15—22no—
310C2×D15—22no—
311C2×D15—22no—
312C2×D15—44no—
313C2×C5×D3—28no—
314C2×C5×D3—22no—
315C2×C5×D3—22no—
316C2×C5×D3C22×D414yes—
317C2×C3×D5—24no—
318C2×C3×D5—22no—
319C2×C3×D5—24no—
320C2×C3×D5—22no—
321C2×C3×D5—22no—
322C2×C3×D5—24no—
323C2×C3×D5—48no—
324C2×C3×D5—44no—
325C3×C4×C5—24no—
326C3×C4×C5C22×D414yes—
327Dic15—24no—
328Dic15—22no—
329C3×Dic5—22no—
330C5×Dic3—24no—
331C5×Dic3C22×D414yes—
332C24×C3—51no—
333C24×C3—52no—
334C23×D3—51no—
335C23×D3C22×D511yescharacteristic
336C2×C3×D4—54no—
337C2×C3×D4—58no—
338C2×C3×D4—104no—
339C2×C3×D4—204no—
340C22×C3×C4—51no—
341C22×C3×C4—54no—
342C22×C3×C4—104no—
343C22×C3×C4C22×D512yes—
344C22×C3×C4C22×D511yescharacteristic
345C2×#67—58no—
346C2×#67—54no—
347C2×#67—54no—
348C2×#67—58no—
349C2×#67—104no—
350C2×#67—108no—
351C2×#67—104no—
352C2×#67—204no—
353C22×Dic3—52no—
354C22×Dic3—51no—
355C22×Dic3—58no—
356C22×Dic3—108no—
357C22×Dic3C22×D512yes—
358C22×Dic3C22×D511yescharacteristic
359#237—1032no—
360#235—1032no—
361C2×D12—54no—
362C2×D12—104no—
363C2×C4×D3—44no—
364C2×C4×D3—54no—
365C2×C4×D3—104no—
366C2×C4×D3D2018yescomplemented
367C2×C4×D3C22×D518yes—
368C2×C4×D3C22×D514yes—
369C2×Dic6—54no—
370C2×Dic6—54no—
371C2×Dic6—104no—
372C2×Dic6—104no—
373C3×C4⋊C4C22×D514yes—
374C3×C22⋊C4—58no—
375#217—58no—
376#217—58no—
377(C2×D3)⋊C4—58no—
378C4⋊Dic3—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—24no—
389C22×D5—22no—
390C22×D5—24no—
391C22×D5—24no—
392C22×D5—22no—
393C22×D5—32no—
394C22×D5—62no—
395C22×D5—62no—
396C22×D5—62no—
397C22×D5C23×D312yes—
398C22×D5C23×D314yes—
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—68no—
410C22⋊D5—68no—
411C22⋊D5—616no—
412C2×Dic5—22no—
413C2×Dic5—32no—
414C2×Dic5—34no—
415C2×Dic5—62no—
416C2×Dic5—64no—
417C2×Dic5C23×D312yes—
418D20—28no—
419D20—48no—
420D20—68no—
421D20—128no—
422C4×D5—28no—
423C4×D5—616no—
424C4×D5—68no—
425Dic10—68no—
426Dic10—68no—
427C2×#41—158no—
428C2×#41—158no—
429C2×#41—308no—
430C2×#41—308no—
431C22×Q8—151no—
432C22×Q8—151no—
433C22×D4—51no—
434C22×D4—52no—
435C22×D4—151no—
436C22×D4—152no—
437C22×D4—151no—
438C22×D4—152no—
439C22×D4—151no—
440C23×C4—31no—
441C23×C4—32no—
442C23×C4—51no—
443C23×C4—152no—
444C23×C4—151no—
445C22⋊Q8—1516no—
446C22⋊Q8—158no—
447C22⋊Q8—158no—
448#121—58no—
449#121—1516no—
450#121—158no—
451#121—1516no—
452#121—1516no—
453C2×C4⋊C4—32no—
454C2×C4⋊C4—31no—
455C2×C4⋊C4—38no—
456C2×C4⋊C4—152no—
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—42no—
468C3×D5—44no—
469C3×D5—42no—
470C5×D3—24no—
471C23×C3—52no—
472C23×C3—54no—
473C23×C3—104no—
474C23×C3—102no—
475C23×C3—104no—
476C23×C3—102no—
477C23×C3—102no—
478C23×C3—104no—
479C23×C3C23×D511yescharacteristic
480C22×D3—22no—
481C22×D3—22no—
482C22×D3—52no—
483C22×D3—102no—
484C22×D3—102no—
485C22×D3—102no—
486C22×D3C2×D2014yes—
487C22×D3C23×D512yes—
488C3×D4—108no—
489C3×D4—208no—
490C2×C3×C4—24no—
491C2×C3×C4—52no—
492C2×C3×C4—102no—
493C2×C3×C4—108no—
494C2×C3×C4C2×D2014yes—
495C2×C3×C4C23×D514yes—
496C2×C3×C4C23×D512yes—
497#67—108no—
498#67—1016no—
499#67—108no—
500#67—208no—
501C2×Dic3—24no—
502C2×Dic3—54no—
503C2×Dic3—52no—
504C2×Dic3—102no—
505C2×Dic3—104no—
506C2×Dic3—1016no—
507C2×Dic3C2×D2014yes—
508C2×Dic3C23×D514yes—
509C2×Dic3C23×D512yes—
510D12—108no—
511C4×D3—48no—
512C4×D3—108no—
513C4×D3C2×D20116yescomplemented
514Dic6—108no—
515Dic6—108no—
516C22×C5—34no—
517C22×C5—62no—
518C22×C5—62no—
519C22×C5—68no—
520C22×C5C2×D3×D412yes—
521C22×C5#100412yes—
522C22×C5#101012yes—
523C22×C5C24×D311yescharacteristic
524C2×D5—22no—
525C2×D5—24no—
526C2×D5—22no—
527C2×D5—24no—
528C2×D5—22no—
529C2×D5—24no—
530C2×D5—44no—
531C2×D5—48no—
532C2×D5—62no—
533C2×D5—62no—
534C2×D5—62no—
535C2×D5—124no—
536C4×C5—24no—
537C4×C5—34no—
538C4×C5—64no—
539C4×C5C2×D3×D414yes—
540Dic5—22no—
541Dic5—64no—
542Dic5—62no—
543C24—31no—
544C24—52no—
545C24—51no—
546C24—151no—
547#41—3032no—
548#41—3032no—
549C2×Q8—154no—
550C2×Q8—154no—
551C2×Q8—304no—
552C2×Q8—304no—
553C2×D4—54no—
554C2×D4—58no—
555C2×D4—104no—
556C2×D4—154no—
557C2×D4—158no—
558C2×D4—154no—
559C2×D4—158no—
560C2×D4—154no—
561C2×D4—204no—
562C2×D4—304no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—308no—
566C2×D4—604no—
567C22×C4—31no—
568C22×C4—38no—
569C22×C4—34no—
570C22×C4—32no—
571C22×C4—38no—
572C22×C4—51no—
573C22×C4—54no—
574C22×C4—104no—
575C22×C4—124no—
576C22×C4—158no—
577C22×C4—151no—
578C22×C4—152no—
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—158no—
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—104no—
595C22×C3—102no—
596C22×C3—104no—
597C22×C3—102no—
598C22×C3—102no—
599C22×C3—104no—
600C22×C3—208no—
601C22×C3—204no—
602C22×C3C22×D2012yes—
603C22×C3#414412yes—
604C22×C3#414712yes—
605C22×C3C24×D511yescharacteristic
606C2×D3—28no—
607C2×D3—22no—
608C2×D3—22no—
609C2×D3—102no—
610C2×D3—102no—
611C2×D3—102no—
612C2×D3—204no—
613C2×D3C22×D2014yes—
614C3×C4—24no—
615C3×C4—102no—
616C3×C4C22×D2014yes—
617Dic3—24no—
618Dic3—102no—
619Dic3—104no—
620Dic3C22×D2014yes—
621C2×C5—64no—
622C2×C5#560814yescomplemented
623C2×C5C22×D3×D411yescharacteristic
624C2×C5C2×#100411yescharacteristic
625C2×C5C2×#101011yescharacteristic
626D5—42no—
627D5—44no—
628D5—122no—
629C23—34no—
630C23—32no—
631C23—54no—
632C23—52no—
633C23—62no—
634C23—62no—
635C23—102no—
636C23—104no—
637C23—102no—
638C23—104no—
639C23—104no—
640C23—102no—
641C23—152no—
642C23—302no—
643C23—302no—
644C23—302no—
645C23C22×D3×D511yescharacteristic
646Q8—308no—
647Q8—308no—
648D4—108no—
649D4—208no—
650D4—308no—
651D4—308no—
652D4—308no—
653D4—3016no—
654D4—608no—
655C2×C4—24no—
656C2×C4—34no—
657C2×C4—32no—
658C2×C4—316no—
659C2×C4—34no—
660C2×C4—52no—
661C2×C4—64no—
662C2×C4—102no—
663C2×C4—108no—
664C2×C4—128no—
665C2×C4—152no—
666C2×C4—154no—
667C2×C4—3016no—
668C2×C4—304no—
669C2×C4—302no—
670C2×C4—308no—
671C2×C4D3×D2014yes—
672C2×C4C22×D3×D514yes—
673C2×C4C22×D3×D512yes—
674C2×C3—204no—
675C2×C3—202no—
676C2×C3#6584414yescomplemented
677C2×C3C23×D2011yescharacteristic
678C2×C3C2×#414411yescharacteristic
679C2×C3C2×#414711yescharacteristic
680D3—24no—
681D3—202no—
682C5C2×#560811yescharacteristic, complemented, Sylow
683C22—34no—
684C22—68no—
685C22—62no—
686C22—62no—
687C22—102no—
688C22—104no—
689C22—102no—
690C22—104no—
691C22—104no—
692C22—102no—
693C22—204no—
694C22—208no—
695C22—302no—
696C22—302no—
697C22—302no—
698C22—604no—
699C22C2×D3×D2012yes—
700C22#9202512yes—
701C22#9202812yes—
702C22C23×D3×D511yescharacteristic
703C4—24no—
704C4—34no—
705C4—64no—
706C4—102no—
707C4—304no—
708C4—302no—
709C4C2×D3×D2014yes—
710C3C2×#6584411yescharacteristic, complemented, Sylow
711C2—64no—
712C2—202no—
713C2—204no—
714C2—602no—
715C2#1175344114yesdirect product factor
716C2C22×D3×D2011yescharacteristic
717C2C2×#9202511yescharacteristic
718C2C2×#9202811yescharacteristic
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×#6765C2semidirect
3. C2×#91786C2semidirect
4. C2×C5×D3×C4⋊C4C2semidirect
5. C2×C3×#4041C2semidirect
6. C2×#91465C2semidirect
7. C2×#91456C2semidirect
8. C2×#91454C2semidirect
9. C2×#91422C2semidirect
10. C2×#91409C2semidirect
11. C2×#91360C2semidirect
12. #11753441C2direct (N × H)
29. C2×#6771C22semidirect
31. C2×#6765C22semidirect
35. #91786C22semidirect
38. C5×D3×C4⋊C4C22semidirect
40. C3×#4041C22semidirect
44. #91465C22semidirect
45. #91456C22semidirect
46. #91454C22semidirect
47. #91422C22semidirect
48. #91409C22semidirect
49. #91360C22semidirect
62. C2×#4041D3semidirect
78. C2×C4×C5×D3D4semidirect
122. C2×D3×C4⋊C4D5semidirect
160. #4041C2×D3semidirect
194. C4×C5×D3C2×D4semidirect
240. D3×C4⋊C4C2×D5semidirect
366. C2×C4×D3D20semidirect
463. C2×C3×C5#537semidirect
513. C4×D3C2×D20semidirect
593. C3×C5C2×#537semidirect
622. C2×C5#5608semidirect
676. C2×C3#65844semidirect
682. C5C2×#5608semidirect
710. C3C2×#65844semidirect
715. C2#11753441direct (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×#67652
C2×#917862
C2×C5×D3×C4⋊C42
C2×C3×#40412
C2×#914652
C2×#914562
C2×#914542
C2×#914222
C2×#914092
C2×#913602
#117534412
C2×#658443
C2×#56085