Finite Group Databasebeta

← C2×#11755236 #14480619

Subgroups — C2×#11755236 #14480619

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×#6821C211yesmaximal, characteristic, complemented
2C22×#6771C211yesmaximal, characteristic, complemented
3C2×C5×#946C211yesmaximal, characteristic, complemented
4C2×C3×#4092C211yesmaximal, characteristic, complemented
5#11755236C2116yesmaximal, direct product factor
6C2×#91461C212yesmaximal, complemented
7C2×#91460C211yesmaximal, characteristic, complemented
8C2×#91459C212yesmaximal, complemented
9C2×#91450C211yesmaximal, characteristic, complemented
10C2×#91437C211yesmaximal, characteristic, complemented
11C2×#91420C212yesmaximal, complemented
12C2×#91377C212yesmaximal, complemented
13C2×#65963—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C2×#6821—28no—
16C2×#6821C2218yescomplemented
17C22×D60C2211yescharacteristic
18C22×D60C2212yes—
19C22×C4×D15C2212yes—
20C22×C4×D15C2211yescharacteristic
21C22×C4×C5×D3C2211yescharacteristic
22C22×C3×C4×D5C2211yescharacteristic
23C22×#1204C2211yescharacteristic
24C22×#1203C2211yescharacteristic
25C22×#1203C2212yes—
26C22×#1202C2211yescharacteristic
27C22×#1202C2212yes—
28C22×#1201C2211yescharacteristic
29C22×#1200C2212yes—
30C2×#6771—28no—
31C2×#6771C2218yescomplemented
32C5×#946C2218yescomplemented
33C2×C5×(C2×D3)⋊C4C2212yes—
34C2×C5×C4⋊Dic3C2211yescharacteristic
35C2×C5×Dic3⋊C4C2212yes—
36C3×#4092C2218yescomplemented
37C2×C3×#685C2212yes—
38C2×C3×C4⋊Dic5C2211yescharacteristic
39C2×C3×#683C2212yes—
40C2×#6669C2212yes—
41C2×#6667C2212yes—
42C2×#6667C2212yes—
43#91461C22116yescomplemented
44#91460C2218yescomplemented
45#91459C22116yescomplemented
46#91450C2218yescomplemented
47#91437C2218yescomplemented
48#91420C22116yescomplemented
49#91377C22116yescomplemented
50C2×#5629—51nomaximal, Hall
51C22×#713—31no—
52C22×#709—31no—
53C2×C5×C22⋊Q8—31no—
54C2×#4092D311yescharacteristic, complemented
55C2×#4076—31no—
56#65963—316no—
57C2×#4042—32no—
58C2×#4041—32no—
59C2×#4041—31no—
60C2×D5×C4⋊C4—31no—
61C2×#4030—32no—
62C2×#4030—32no—
63C23×D15C2312yes—
64C23×D15C2311yescharacteristic
65C23×C5×D3C2311yescharacteristic
66C23×C3×D5C2311yescharacteristic
67C2×C3×C5×Q8—24no—
68C2×C3×C5×Q8C2314yes—
69C22×C3×C4×C5C2312yes—
70C22×C3×C4×C5C2311yescharacteristic
71C22×Dic15C2311yescharacteristic
72#6821—232no—
73C2×D60—28no—
74C2×D60—24no—
75C2×D60C2318yes—
76C2×D60C2314yes—
77C2×C4×D15—28no—
78C2×C4×D15D418yescomplemented
79C2×C4×D15C2318yes—
80C2×C4×D15C2314yes—
81C22×C5×Dic3C2311yescharacteristic
82C22×C5×Dic3C2312yes—
83C2×C4×C5×D3—24no—
84C2×C4×C5×D3C2314yes—
85C22×C3×Dic5C2312yes—
86C22×C3×Dic5C2311yescharacteristic
87C2×C3×C4×D5—24no—
88C2×C3×C4×D5C2314yes—
89C2×#1204—24no—
90C2×#1204C2314yes—
91C2×#1203—24no—
92C2×#1203—44no—
93C2×#1203C2314yes—
94C2×#1203C2318yes—
95C2×#1202—24no—
96C2×#1202—44no—
97C2×#1202C2314yes—
98C2×#1202C2318yes—
99C2×#1201—24no—
100C2×#1201C2314yes—
101C2×#1200—44no—
102C2×#1200C2318yes—
103#6771—232no—
104C5×(C2×D3)⋊C4C2318yes—
105C5×C4⋊Dic3C2314yes—
106C5×Dic3⋊C4C2318yes—
107C3×#685C2318yes—
108C3×C4⋊Dic5C2314yes—
109C3×#683C2318yes—
110#6669C2318yes—
111#6667C2318yes—
112#6667C2318yes—
113C22×#239—51no—
114C22×#235—51no—
115C2×C3×C22⋊Q8—51no—
116C2×#946D511yescharacteristic, complemented
117C2×#930—51no—
118#5629—516no—
119C2×#896—52no—
120C2×#895—51no—
121C2×#895—52no—
122C2×D3×C4⋊C4—51no—
123C2×#884—52no—
124C2×#884—52no—
125C22×C5×Q8C2×D311yescharacteristic
126C23×C4×C5—31no—
127C22×C22⋊D5—31no—
128C22×C22⋊D5—31no—
129C22×C22⋊D5—32no—
130C2×#713—38no—
131C2×#713—68no—
132C2×#709—38no—
133C2×#709—68no—
134C22×D20—31no—
135C22×D20—32no—
136C22×D20—31no—
137C22×D20—32no—
138C22×C4×D5—31no—
139C22×C4×D5—32no—
140C22×C4×D5—32no—
141C22×C4×D5C2×D311yescharacteristic
142C22×Dic10—31no—
143C5×C22⋊Q8—38no—
144C2×C5×C4⋊C4—31no—
145C2×C5×C4⋊C4—32no—
146C2×C5×C22⋊C4—32no—
147#4092C2×D318yescomplemented
148#4076—38no—
149C2×#685—32no—
150C2×#685—32no—
151C2×#685C2×D312yes—
152C2×C4⋊Dic5C2×D311yescharacteristic
153C2×#683—32no—
154C2×#683C2×D312yes—
155#4042—316no—
156#4041—38no—
157#4041—316no—
158D5×C4⋊C4—38no—
159#4030—316no—
160#4030—316no—
161C2×#537—151noSylow
162C23×C3×C5C2411yescharacteristic
163C22×D15—22no—
164C22×D15—22no—
165C22×D15—24no—
166C22×D15—24no—
167C22×D15—24no—
168C22×D15C2×D414yes—
169C22×D15C2414yes—
170C22×D15C2412yes—
171C22×C5×D3—22no—
172C22×C5×D3—22no—
173C22×C5×D3—22no—
174C22×C5×D3C2412yes—
175C22×C3×D5—22no—
176C22×C3×D5—22no—
177C22×C3×D5—22no—
178C22×C3×D5C2412yes—
179C3×C5×Q8—28no—
180C2×C3×C4×C5—24no—
181C2×C3×C4×C5C2×D414yes—
182C2×C3×C4×C5C2414yes—
183C2×C3×C4×C5C2412yes—
184C2×Dic15C2×D414yes—
185C2×Dic15C2412yes—
186D60—216no—
187D60—28no—
188C4×D15—216no—
189C4×D15C2×D4116yescomplemented
190C2×C5×Dic3—22no—
191C2×C5×Dic3—24no—
192C2×C5×Dic3C2412yes—
193C2×C5×Dic3C2414yes—
194C4×C5×D3—28no—
195C2×C3×Dic5—22no—
196C2×C3×Dic5—24no—
197C2×C3×Dic5C2412yes—
198C2×C3×Dic5C2414yes—
199C3×C4×D5—28no—
200#1204—28no—
201#1203—28no—
202#1203—48no—
203#1202—28no—
204#1202—48no—
205#1201—28no—
206#1200—48no—
207C22×C3×Q8C2×D511yescharacteristic
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×D3—52no—
223C22×C4×D3C2×D511yescharacteristic
224C22×Dic6—51no—
225C3×C22⋊Q8—58no—
226C2×C3×C4⋊C4—51no—
227C2×C3×C4⋊C4—52no—
228C2×C3×C22⋊C4—52no—
229#946C2×D518yescomplemented
230#930—58no—
231C2×(C2×D3)⋊C4—52no—
232C2×(C2×D3)⋊C4—52no—
233C2×(C2×D3)⋊C4C2×D512yes—
234C2×C4⋊Dic3C2×D511yescharacteristic
235C2×Dic3⋊C4—52no—
236C2×Dic3⋊C4C2×D512yes—
237#896—516no—
238#895—58no—
239#895—516no—
240D3×C4⋊C4—58no—
241#884—516no—
242#884—516no—
243C24×C5—31no—
244C23×D5—31no—
245C23×D5—32no—
246C23×D5C22×D311yescharacteristic
247C2×C5×Q8—24no—
248C2×C5×Q8C22×D314yes—
249C22×C4×C5—32no—
250C22×C4×C5—31no—
251C22×C4×C5—34no—
252C22×C4×C5—64no—
253C22×C4×C5C22×D312yes—
254C22×C4×C5C22×D311yescharacteristic
255C2×C22⋊D5—34no—
256C2×C22⋊D5—34no—
257C2×C22⋊D5—38no—
258C2×C22⋊D5—64no—
259C2×C22⋊D5—64no—
260C2×C22⋊D5—124no—
261C22×Dic5—31no—
262C22×Dic5C22×D311yescharacteristic
263C22×Dic5C22×D312yes—
264#713—632no—
265#709—632no—
266C2×D20—34no—
267C2×D20—38no—
268C2×D20—34no—
269C2×D20—38no—
270C2×D20—68no—
271C2×D20—64no—
272C2×D20—64no—
273C2×D20—124no—
274C2×C4×D5—24no—
275C2×C4×D5—38no—
276C2×C4×D5—34no—
277C2×C4×D5—38no—
278C2×C4×D5—38no—
279C2×C4×D5—68no—
280C2×C4×D5—124no—
281C2×C4×D5C22×D314yes—
282C2×Dic10—34no—
283C2×Dic10—64no—
284C5×C4⋊C4—38no—
285C5×C4⋊C4—34no—
286C5×C22⋊C4—38no—
287#685—38no—
288#685—38no—
289#685C22×D318yes—
290C4⋊Dic5C22×D314yes—
291#683—38no—
292#683C22×D318yes—
293C22×#41—151no—
294C22×#41—151no—
295#537—1516no—
296C2×C22⋊Q8—31no—
297C2×C22⋊Q8—51no—
298C2×C22⋊Q8—152no—
299C2×#121—152no—
300C2×#121—152no—
301C2×#121—152no—
302C2×#121—151no—
303C2×#121—151no—
304C22×C4⋊C4—151no—
305C22×C3×C5C22×D412yes—
306C22×C3×C5H(5,𝔽2)12yes—
307C22×C3×C52−1+412yes—
308C22×C3×C5C2511yescharacteristic
309C2×D15—28no—
310C2×D15—22no—
311C2×D15—22no—
312C2×D15—24no—
313C2×D15—24no—
314C2×D15—24no—
315C2×D15—48no—
316C2×D15C22×D414yes—
317C2×C5×D3—22no—
318C2×C5×D3—22no—
319C2×C5×D3—22no—
320C2×C5×D3—44no—
321C2×C3×D5—22no—
322C2×C3×D5—22no—
323C2×C3×D5—22no—
324C2×C3×D5—44no—
325C3×C4×C5—24no—
326C3×C4×C5C22×D414yes—
327Dic15C22×D414yes—
328C3×Dic5—22no—
329C3×Dic5—24no—
330C5×Dic3—22no—
331C5×Dic3—24no—
332C24×C3—51no—
333C23×D3—51no—
334C23×D3—52no—
335C23×D3C22×D511yescharacteristic
336C2×C3×Q8—24no—
337C2×C3×Q8C22×D514yes—
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—54no—
356C2×D12—58no—
357C2×D12—54no—
358C2×D12—58no—
359C2×D12—108no—
360C2×D12—104no—
361C2×D12—104no—
362C2×D12—204no—
363C2×C4×D3—24no—
364C2×C4×D3—58no—
365C2×C4×D3—54no—
366C2×C4×D3—58no—
367C2×C4×D3—58no—
368C2×C4×D3—108no—
369C2×C4×D3—204no—
370C2×C4×D3C22×D514yes—
371C2×Dic6—54no—
372C2×Dic6—104no—
373C3×C4⋊C4—58no—
374C3×C4⋊C4—54no—
375C3×C22⋊C4—58no—
376(C2×D3)⋊C4—58no—
377(C2×D3)⋊C4—58no—
378(C2×D3)⋊C4C22×D518yes—
379C4⋊Dic3C22×D514yes—
380Dic3⋊C4—58no—
381Dic3⋊C4C22×D518yes—
382C23×C5—32no—
383C23×C5—62no—
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—34no—
393C22×D5—62no—
394C22×D5—62no—
395C22×D5—64no—
396C22×D5—64no—
397C22×D5—64no—
398C22×D5C23×D312yes—
399C5×Q8—28no—
400C2×C4×C5—24no—
401C2×C4×C5—34no—
402C2×C4×C5—32no—
403C2×C4×C5—62no—
404C2×C4×C5—64no—
405C2×C4×C5—68no—
406C2×C4×C5D3×D414yes—
407C2×C4×C5C23×D314yes—
408C2×C4×C5C23×D312yes—
409C22⋊D5—68no—
410C22⋊D5—68no—
411C22⋊D5—128no—
412C2×Dic5—22no—
413C2×Dic5—24no—
414C2×Dic5—34no—
415C2×Dic5—32no—
416C2×Dic5C23×D314yes—
417C2×Dic5C23×D312yes—
418D20—616no—
419D20—68no—
420D20—68no—
421D20—128no—
422C4×D5—28no—
423C4×D5—316no—
424C4×D5—616no—
425C4×D5—128no—
426Dic10—68no—
427C2×#41—158no—
428C2×#41—158no—
429C2×#41—308no—
430C2×#41—308no—
431C22×Q8—151no—
432C22×Q8D3×D511yescharacteristic
433C22×D4—151no—
434C22×D4—152no—
435C22×D4—151no—
436C22×D4—152no—
437C22×D4—151no—
438C22×D4—152no—
439C22×D4—151no—
440C23×C4—31no—
441C23×C4—51no—
442C23×C4—152no—
443C23×C4—151no—
444C23×C4—152no—
445C22⋊Q8—38no—
446C22⋊Q8—58no—
447C22⋊Q8—1516no—
448#121—1516no—
449#121—1516no—
450#121—1516no—
451#121—158no—
452#121—158no—
453C2×C4⋊C4—31no—
454C2×C4⋊C4—32no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—52no—
457C2×C4⋊C4—158no—
458C2×C4⋊C4—152no—
459C2×C22⋊C4—32no—
460C2×C22⋊C4—52no—
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—24no—
468D15—44no—
469C3×D5—42no—
470C5×D3—42no—
471C23×C3—52no—
472C23×C3—102no—
473C23×C3—102no—
474C23×C3—102no—
475C23×C3C23×D511yescharacteristic
476C22×D3—22no—
477C22×D3—22no—
478C22×D3—22no—
479C22×D3—54no—
480C22×D3—52no—
481C22×D3—54no—
482C22×D3—102no—
483C22×D3—102no—
484C22×D3—104no—
485C22×D3—104no—
486C22×D3—104no—
487C22×D3C23×D512yes—
488C3×Q8—28no—
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×C4D4×D514yes—
496C2×C3×C4C23×D514yes—
497C2×C3×C4C23×D512yes—
498#67—108no—
499#67—108no—
500#67—208no—
501C2×Dic3—22no—
502C2×Dic3—24no—
503C2×Dic3—54no—
504C2×Dic3—52no—
505C2×Dic3C23×D514yes—
506C2×Dic3C23×D512yes—
507D12—1016no—
508D12—108no—
509D12—108no—
510D12—208no—
511C4×D3—28no—
512C4×D3—516no—
513C4×D3—1016no—
514C4×D3—208no—
515Dic6—108no—
516C22×C5—62no—
517C22×C5—62no—
518C22×C5—62no—
519C22×C5—124no—
520C22×C5C2×D3×D412yes—
521C22×C5#100712yes—
522C22×C5#100912yes—
523C22×C5C24×D311yescharacteristic
524C2×D5—22no—
525C2×D5—22no—
526C2×D5—22no—
527C2×D5—34no—
528C2×D5—44no—
529C2×D5—62no—
530C2×D5—62no—
531C2×D5—68no—
532C2×D5—64no—
533C2×D5—64no—
534C2×D5—64no—
535C2×D5—128no—
536C4×C5—24no—
537C4×C5—62no—
538C4×C5—64no—
539C4×C5C2×D3×D414yes—
540Dic5—22no—
541Dic5—24no—
542Dic5—34no—
543C24—31no—
544C24—51no—
545C24—151no—
546C24—152no—
547#41—3032no—
548#41—3032no—
549C2×Q8—24no—
550C2×Q8—154no—
551C2×Q8—304no—
552C2×Q8C2×D3×D514yes—
553C2×D4—154no—
554C2×D4—158no—
555C2×D4—154no—
556C2×D4—158no—
557C2×D4—154no—
558C2×D4—158no—
559C2×D4—154no—
560C2×D4—308no—
561C2×D4—304no—
562C2×D4—304no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—604no—
566C2×D4—604no—
567C22×C4—32no—
568C22×C4—31no—
569C22×C4—34no—
570C22×C4—52no—
571C22×C4—51no—
572C22×C4—54no—
573C22×C4—64no—
574C22×C4—104no—
575C22×C4—158no—
576C22×C4—151no—
577C22×C4—158no—
578C22×C4—154no—
579C22×C4—158no—
580C22×C4—308no—
581C22×C4—604no—
582C22×C4C2×D3×D512yes—
583C22×C4C2×D3×D511yescharacteristic
584C4⋊C4—34no—
585C4⋊C4—38no—
586C4⋊C4—54no—
587C4⋊C4—58no—
588C4⋊C4—158no—
589C22⋊C4—38no—
590C22⋊C4—58no—
591C22⋊C4—158no—
592C22⋊C4—158no—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—102no—
595C22×C3—102no—
596C22×C3—102no—
597C22×C3—204no—
598C22×C3C2×D4×D512yes—
599C22×C3#414712yes—
600C22×C3#414912yes—
601C22×C3C24×D511yescharacteristic
602C2×D3—22no—
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—44no—
606C2×D3—54no—
607C2×D3—108no—
608C2×D3—102no—
609C2×D3—102no—
610C2×D3—104no—
611C2×D3—104no—
612C2×D3—104no—
613C2×D3—208no—
614C3×C4—24no—
615C3×C4—102no—
616C3×C4—104no—
617C3×C4C2×D4×D514yes—
618Dic3—22no—
619Dic3—24no—
620Dic3—54no—
621C2×C5—122no—
622C2×C5#562914yescomplemented
623C2×C5C22×D3×D411yescharacteristic
624C2×C5C2×#100711yescharacteristic
625C2×C5C2×#100911yescharacteristic
626D5—42no—
627D5—64no—
628D5—124no—
629C23—32no—
630C23—52no—
631C23—62no—
632C23—62no—
633C23—62no—
634C23—102no—
635C23—102no—
636C23—102no—
637C23—154no—
638C23—152no—
639C23—154no—
640C23—302no—
641C23—302no—
642C23—304no—
643C23—304no—
644C23—304no—
645C23C22×D3×D511yescharacteristic
646Q8—28no—
647Q8—308no—
648D4—3016no—
649D4—308no—
650D4—308no—
651D4—308no—
652D4—308no—
653D4—608no—
654D4—608no—
655C2×C4—24no—
656C2×C4—34no—
657C2×C4—32no—
658C2×C4—54no—
659C2×C4—52no—
660C2×C4—64no—
661C2×C4—62no—
662C2×C4—68no—
663C2×C4—104no—
664C2×C4—102no—
665C2×C4—108no—
666C2×C4—154no—
667C2×C4—152no—
668C2×C4—1516no—
669C2×C4—3016no—
670C2×C4—608no—
671C2×C4#679014yes—
672C2×C4C22×D3×D514yes—
673C2×C4C22×D3×D512yes—
674C2×C3—202no—
675C2×C3#6596314yescomplemented
676C2×C3C22×D4×D511yescharacteristic
677C2×C3C2×#414711yescharacteristic
678C2×C3C2×#414911yescharacteristic
679D3—42no—
680D3—104no—
681D3—204no—
682C5C2×#562911yescharacteristic, complemented, Sylow
683C22—62no—
684C22—62no—
685C22—62no—
686C22—102no—
687C22—102no—
688C22—102no—
689C22—124no—
690C22—154no—
691C22—204no—
692C22—308no—
693C22—302no—
694C22—302no—
695C22—304no—
696C22—304no—
697C22—304no—
698C22—608no—
699C22#9202912yes—
700C22#9203512yes—
701C22C2×#679012yes—
702C22C23×D3×D511yescharacteristic
703C4—24no—
704C4—62no—
705C4—64no—
706C4—102no—
707C4—104no—
708C4—154no—
709C4C2×#679014yes—
710C3C2×#6596311yescharacteristic, complemented, Sylow
711C2—122no—
712C2—202no—
713C2—304no—
714C2—604no—
715C2#1175523614yesdirect product factor
716C2C2×#9202911yescharacteristic
717C2C2×#9203511yescharacteristic
718C2C22×#679011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×Q8C22
socleC23×C3×C5C24
hypercenterC22×Q8D3×D5
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
1. C22×#6821C2semidirect
2. C22×#6771C2semidirect
3. C2×C5×#946C2semidirect
4. C2×C3×#4092C2semidirect
5. #11755236C2direct (N × H)
6. C2×#91461C2semidirect
7. C2×#91460C2semidirect
8. C2×#91459C2semidirect
9. C2×#91450C2semidirect
10. C2×#91437C2semidirect
11. C2×#91420C2semidirect
12. C2×#91377C2semidirect
16. C2×#6821C22semidirect
31. C2×#6771C22semidirect
32. C5×#946C22semidirect
36. C3×#4092C22semidirect
43. #91461C22semidirect
44. #91460C22semidirect
45. #91459C22semidirect
46. #91450C22semidirect
47. #91437C22semidirect
48. #91420C22semidirect
49. #91377C22semidirect
54. C2×#4092D3semidirect
78. C2×C4×D15D4semidirect
116. C2×#946D5semidirect
147. #4092C2×D3semidirect
189. C4×D15C2×D4semidirect
229. #946C2×D5semidirect
463. C2×C3×C5#537semidirect
593. C3×C5C2×#537semidirect
622. C2×C5#5629semidirect
675. C2×C3#65963semidirect
682. C5C2×#5629semidirect
710. C3C2×#65963semidirect
715. C2#11755236direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68212
C22×#67712
C2×C5×#9462
C2×C3×#40922
#117552362
C2×#914612
C2×#914602
C2×#914592
C2×#914502
C2×#914372
C2×#914202
C2×#913772
C2×#659633
C2×#56295