Finite Group Databasebeta

← C2×#11755232 #14480617

Subgroups — C2×#11755232 #14480617

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×C5×#239C211yesmaximal, characteristic, complemented
2C22×#6771C211yesmaximal, characteristic, complemented
3C2×#91835C211yesmaximal, characteristic, complemented
4C2×C3×#4092C211yesmaximal, characteristic, complemented
5#11755232C2116yesmaximal, direct product factor
6C2×#91466C211yesmaximal, characteristic, complemented
7C2×#91454C212yesmaximal, complemented
8C2×#91453C212yesmaximal, complemented
9C2×#91449C211yesmaximal, characteristic, complemented
10C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
11C2×#91416C212yesmaximal, complemented
12C2×#91352C212yesmaximal, complemented
13C2×#66167—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C22×C4×D15C2211yescharacteristic
16C2×C5×#239—28no—
17C2×C5×#239C2218yescomplemented
18C22×C5×D12C2211yescharacteristic
19C22×C5×D12C2212yes—
20C22×C4×C5×D3C2212yes—
21C22×C4×C5×D3C2211yescharacteristic
22C22×C3×C4×D5C2211yescharacteristic
23C22×#1204C2211yescharacteristic
24C22×#1203C2211yescharacteristic
25C22×#1203C2212yes—
26C22×#1202C2211yescharacteristic
27C22×#1201C2211yescharacteristic
28C22×#1201C2212yes—
29C22×D3×Dic5C2212yes—
30C2×#6771—28no—
31C2×#6771C2218yescomplemented
32#91835C2218yescomplemented
33C2×#6714C2212yes—
34C2×C4⋊Dic15C2211yescharacteristic
35C2×#6712C2212yes—
36C3×#4092C2218yescomplemented
37C2×C3×#685C2212yes—
38C2×C3×C4⋊Dic5C2211yescharacteristic
39C2×C3×#683C2212yes—
40C2×Dic3⋊Dic5C2212yes—
41C2×(C2×D3)⋊Dic5C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43#91466C2218yescomplemented
44#91454C22116yescomplemented
45#91453C22116yescomplemented
46#91449C2218yescomplemented
47D3×C4⋊Dic5C2218yescomplemented
48#91416C22116yescomplemented
49#91352C22116yescomplemented
50C2×#5629—51nomaximal, Hall
51C22×C5×#41—31no—
52C22×#709—31no—
53#66167—316no—
54C2×#4092—31no—
55C2×#4092D311yescharacteristic, complemented
56C2×#4085—32no—
57C2×#4085—32no—
58C2×#4084—31no—
59C2×#4084—31no—
60C2×#4076—32no—
61C22×C4⋊Dic5—31no—
62C2×#4070—32no—
63C23×D15C2311yescharacteristic
64C23×C5×D3C2312yes—
65C23×C5×D3C2311yescharacteristic
66C23×C3×D5C2311yescharacteristic
67C2×C3×C5×Q8—24no—
68C2×C3×C5×Q8C2314yes—
69C22×C3×C4×C5C2312yes—
70C22×C3×C4×C5C2311yescharacteristic
71C22×Dic15C2312yes—
72C22×Dic15C2311yescharacteristic
73C2×C4×D15—24no—
74C2×C4×D15C2314yes—
75C22×C5×Dic3C2311yescharacteristic
76C5×#239—232no—
77C2×C5×D12—28no—
78C2×C5×D12—24no—
79C2×C5×D12C2318yes—
80C2×C5×D12C2314yes—
81C2×C4×C5×D3—28no—
82C2×C4×C5×D3D418yescomplemented
83C2×C4×C5×D3C2318yes—
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×#1202C2314yes—
97C2×#1201—24no—
98C2×#1201—44no—
99C2×#1201C2314yes—
100C2×#1201C2318yes—
101C2×D3×Dic5—44no—
102C2×D3×Dic5C2318yes—
103#6771—232no—
104#6714C2318yes—
105C4⋊Dic15C2314yes—
106#6712C2318yes—
107C3×#685C2318yes—
108C3×C4⋊Dic5C2314yes—
109C3×#683C2318yes—
110Dic3⋊Dic5C2318yes—
111(C2×D3)⋊Dic5C2318yes—
112(C2×D3)⋊Dic5C2318yes—
113C22×#239D511yescharacteristic, complemented
114C22×#235—51no—
115C2×C3×C22⋊Q8—51no—
116C2×#946—51no—
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—
125C2×C5×#41—38no—
126C2×C5×#41—68no—
127C22×C5×Q8C2×D311yescharacteristic
128C22×C5×D4—31no—
129C22×C5×D4—32no—
130C23×C4×C5—31no—
131C23×C4×C5—32no—
132C22×C22⋊D5—31no—
133C22×C22⋊D5—32no—
134C22×C22⋊D5—31no—
135C22×C22⋊D5—32no—
136C23×Dic5—32no—
137C2×#709—38no—
138C2×#709—68no—
139C22×D20—31no—
140C22×C4×D5—31no—
141C22×C4×D5C2×D311yescharacteristic
142C22×Dic10—31no—
143C2×C22⋊Dic5—32no—
144C2×C22⋊Dic5—32no—
145#4092—38no—
146#4092C2×D318yescomplemented
147#4085—316no—
148#4085—316no—
149#4084—38no—
150#4084—38no—
151#4076—316no—
152C2×#685—32no—
153C2×#685C2×D312yes—
154C2×C4⋊Dic5—31no—
155C2×C4⋊Dic5—32no—
156C2×C4⋊Dic5—38no—
157C2×C4⋊Dic5C2×D311yescharacteristic
158#4070—316no—
159C2×#683—32no—
160C2×#683C2×D312yes—
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×D3—24no—
170C22×C5×D3—24no—
171C22×C5×D3—24no—
172C22×C5×D3C2×D414yes—
173C22×C5×D3C2414yes—
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×Dic15—22no—
185C2×Dic15—24no—
186C2×Dic15C2412yes—
187C2×Dic15C2414yes—
188C4×D15—28no—
189C2×C5×Dic3C2×D414yes—
190C2×C5×Dic3C2412yes—
191C5×D12—216no—
192C5×D12—28no—
193C4×C5×D3—216no—
194C4×C5×D3C2×D4116yescomplemented
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#1201—28no—
205#1201—48no—
206D3×Dic5—48no—
207C22×C3×Q8C2×D511yescharacteristic
208C23×C3×C4—51no—
209C22×#67—51no—
210C22×#67—52no—
211C22×#67—51no—
212C2×#239—28no—
213C2×#239C2×D518yescomplemented
214C2×#235—58no—
215C2×#235—108no—
216C22×D12—51no—
217C22×D12—52no—
218C22×D12C2×D512yes—
219C22×D12C2×D511yescharacteristic
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—51no—
227C2×C3×C4⋊C4—52no—
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⋊Dic3—51no—
235C2×Dic3⋊C4—52no—
236C2×Dic3⋊C4—52no—
237#896—516no—
238#895—516no—
239#895—58no—
240D3×C4⋊C4—58no—
241#884—516no—
242#884—516no—
243C24×C5—31no—
244C24×C5—32no—
245C23×D5—31no—
246C23×D5C22×D311yescharacteristic
247C5×#41—632no—
248C2×C5×Q8—24no—
249C2×C5×Q8C22×D314yes—
250C2×C5×D4—34no—
251C2×C5×D4—38no—
252C2×C5×D4—68no—
253C2×C5×D4—64no—
254C22×C4×C5—31no—
255C22×C4×C5—38no—
256C22×C4×C5—34no—
257C22×C4×C5—38no—
258C22×C4×C5—68no—
259C22×C4×C5C22×D312yes—
260C22×C4×C5C22×D311yescharacteristic
261C2×C22⋊D5—34no—
262C2×C22⋊D5—38no—
263C2×C22⋊D5—34no—
264C2×C22⋊D5—38no—
265C2×C22⋊D5—64no—
266C2×C22⋊D5—64no—
267C2×C22⋊D5—124no—
268C2×C22⋊D5—124no—
269C22×Dic5—31no—
270C22×Dic5—32no—
271C22×Dic5—38no—
272C22×Dic5—124no—
273C22×Dic5C22×D311yescharacteristic
274C22×Dic5C22×D312yes—
275#709—632no—
276C2×D20—34no—
277C2×D20—64no—
278C2×C4×D5—24no—
279C2×C4×D5—34no—
280C2×C4×D5—64no—
281C2×C4×D5C22×D314yes—
282C2×Dic10—34no—
283C2×Dic10—64no—
284C22⋊Dic5—38no—
285C22⋊Dic5—38no—
286#685—38no—
287#685C22×D318yes—
288C4⋊Dic5—34no—
289C4⋊Dic5—38no—
290C4⋊Dic5C22×D314yes—
291#683—38no—
292#683C22×D318yes—
293C22×#41—31no—
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—151no—
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×D3—24no—
317C2×C5×D3—24no—
318C2×C5×D3—24no—
319C2×C5×D3—48no—
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—
328Dic15—24no—
329C3×Dic5—22no—
330C3×Dic5—24no—
331C5×Dic3C22×D414yes—
332C24×C3—51no—
333C23×D3—51no—
334C23×D3C22×D512yes—
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—58no—
346C2×#67—54no—
347C2×#67—104no—
348C2×#67—104no—
349C2×#67—204no—
350C22×Dic3—52no—
351C22×Dic3—51no—
352C22×Dic3C22×D511yescharacteristic
353#239—232no—
354#235—1032no—
355C2×D12—28no—
356C2×D12—24no—
357C2×D12—54no—
358C2×D12—58no—
359C2×D12—104no—
360C2×D12—204no—
361C2×D12C22×D518yes—
362C2×D12C22×D514yes—
363C2×C4×D3—28no—
364C2×C4×D3—54no—
365C2×C4×D3—58no—
366C2×C4×D3—104no—
367C2×C4×D3—204no—
368C2×C4×D3C22⋊D518yescomplemented
369C2×C4×D3C22×D518yes—
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)⋊C4—58no—
379C4⋊Dic3—54no—
380Dic3⋊C4—58no—
381Dic3⋊C4—58no—
382C23×C5—34no—
383C23×C5—32no—
384C23×C5—34no—
385C23×C5—62no—
386C23×C5—62no—
387C23×C5—64no—
388C23×C5—64no—
389C23×C5—64no—
390C23×C5C23×D311yescharacteristic
391C22×D5—22no—
392C22×D5—22no—
393C22×D5—22no—
394C22×D5—32no—
395C22×D5—62no—
396C22×D5—62no—
397C22×D5—62no—
398C22×D5C23×D312yes—
399C5×Q8—28no—
400C5×D4—616no—
401C5×D4—68no—
402C2×C4×C5—24no—
403C2×C4×C5—34no—
404C2×C4×C5—32no—
405C2×C4×C5—316no—
406C2×C4×C5—616no—
407C2×C4×C5D3×D414yes—
408C2×C4×C5C23×D314yes—
409C2×C4×C5C23×D312yes—
410C22⋊D5—68no—
411C22⋊D5—68no—
412C22⋊D5—128no—
413C22⋊D5—128no—
414C2×Dic5—22no—
415C2×Dic5—24no—
416C2×Dic5—32no—
417C2×Dic5—34no—
418C2×Dic5—62no—
419C2×Dic5—64no—
420C2×Dic5—128no—
421C2×Dic5C23×D312yes—
422C2×Dic5C23×D314yes—
423D20—68no—
424C4×D5—28no—
425C4×D5—68no—
426Dic10—68no—
427C2×#41—38no—
428C2×#41—68no—
429C2×#41—158no—
430C2×#41—308no—
431C22×Q8—151no—
432C22×Q8D3×D511yescharacteristic
433C22×D4—32no—
434C22×D4—31no—
435C22×D4—151no—
436C22×D4—151no—
437C22×D4—152no—
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—51no—
454C2×C4⋊C4—52no—
455C2×C4⋊C4—158no—
456C2×C4⋊C4—152no—
457C2×C4⋊C4—151no—
458C2×C4⋊C4—152no—
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—42no—
469C5×D3—24no—
470C5×D3—44no—
471C23×C3—52no—
472C23×C3—102no—
473C23×C3—102no—
474C23×C3—102no—
475C23×C3C23×D511yescharacteristic
476C22×D3—22no—
477C22×D3—22no—
478C22×D3—24no—
479C22×D3—24no—
480C22×D3—24no—
481C22×D3—52no—
482C22×D3—102no—
483C22×D3—102no—
484C22×D3—102no—
485C22×D3C2×C22⋊D514yes—
486C22×D3C23×D514yes—
487C22×D3C23×D512yes—
488C3×Q8—28no—
489C2×C3×C4—24no—
490C2×C3×C4—54no—
491C2×C3×C4—52no—
492C2×C3×C4—104no—
493C2×C3×C4—102no—
494C2×C3×C4—108no—
495C2×C3×C4C2×C22⋊D514yes—
496C2×C3×C4C23×D514yes—
497C2×C3×C4C23×D512yes—
498#67—108no—
499#67—108no—
500#67—208no—
501C2×Dic3—54no—
502C2×Dic3—52no—
503C2×Dic3—104no—
504C2×Dic3—102no—
505C2×Dic3C2×C22⋊D514yes—
506C2×Dic3C23×D512yes—
507D12—216no—
508D12—28no—
509D12—108no—
510D12—208no—
511C4×D3—216no—
512C4×D3—108no—
513C4×D3—208no—
514C4×D3C2×C22⋊D5116yescomplemented
515Dic6—108no—
516C22×C5—34no—
517C22×C5—62no—
518C22×C5—62no—
519C22×C5—68no—
520C22×C5—64no—
521C22×C5—64no—
522C22×C5—64no—
523C22×C5—128no—
524C22×C5C2×D3×D412yes—
525C22×C5#100712yes—
526C22×C5#100912yes—
527C22×C5C24×D311yescharacteristic
528C2×D5—22no—
529C2×D5—22no—
530C2×D5—22no—
531C2×D5—44no—
532C2×D5—62no—
533C2×D5—62no—
534C2×D5—62no—
535C2×D5—124no—
536C4×C5—24no—
537C4×C5—34no—
538C4×C5C2×D3×D414yes—
539Dic5—22no—
540Dic5—24no—
541Dic5—62no—
542Dic5—64no—
543C24—31no—
544C24—32no—
545C24—51no—
546C24—151no—
547#41—632no—
548#41—3032no—
549C2×Q8—24no—
550C2×Q8—154no—
551C2×Q8—304no—
552C2×Q8C2×D3×D514yes—
553C2×D4—38no—
554C2×D4—34no—
555C2×D4—68no—
556C2×D4—64no—
557C2×D4—154no—
558C2×D4—154no—
559C2×D4—158no—
560C2×D4—154no—
561C2×D4—158no—
562C2×D4—304no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—604no—
566C2×D4—604no—
567C22×C4—31no—
568C22×C4—38no—
569C22×C4—34no—
570C22×C4—38no—
571C22×C4—52no—
572C22×C4—51no—
573C22×C4—54no—
574C22×C4—68no—
575C22×C4—104no—
576C22×C4—158no—
577C22×C4—152no—
578C22×C4—151no—
579C22×C4—154no—
580C22×C4—304no—
581C22×C4—604no—
582C22×C4C2×D3×D512yes—
583C22×C4C2×D3×D511yescharacteristic
584C4⋊C4—54no—
585C4⋊C4—58no—
586C4⋊C4—158no—
587C4⋊C4—154no—
588C4⋊C4—158no—
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×C3#414912yes—
599C22×C3#415012yes—
600C22×C3C22×C22⋊D512yes—
601C22×C3C24×D511yescharacteristic
602C2×D3—28no—
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—24no—
606C2×D3—24no—
607C2×D3—24no—
608C2×D3—48no—
609C2×D3—102no—
610C2×D3—102no—
611C2×D3—102no—
612C2×D3—204no—
613C2×D3C22×C22⋊D514yes—
614C3×C4—24no—
615C3×C4—104no—
616C3×C4—102no—
617C3×C4C22×C22⋊D514yes—
618Dic3—104no—
619Dic3—102no—
620Dic3C22×C22⋊D514yes—
621C2×C5—64no—
622C2×C5—124no—
623C2×C5#562914yescomplemented
624C2×C5C22×D3×D411yescharacteristic
625C2×C5C2×#100711yescharacteristic
626C2×C5C2×#100911yescharacteristic
627D5—42no—
628D5—122no—
629C23—34no—
630C23—32no—
631C23—34no—
632C23—52no—
633C23—62no—
634C23—62no—
635C23—64no—
636C23—64no—
637C23—64no—
638C23—102no—
639C23—102no—
640C23—102no—
641C23—152no—
642C23—302no—
643C23—302no—
644C23—302no—
645C23C22×D3×D511yescharacteristic
646Q8—28no—
647Q8—308no—
648D4—616no—
649D4—68no—
650D4—308no—
651D4—308no—
652D4—308no—
653D4—608no—
654D4—608no—
655C2×C4—24no—
656C2×C4—34no—
657C2×C4—32no—
658C2×C4—316no—
659C2×C4—54no—
660C2×C4—52no—
661C2×C4—616no—
662C2×C4—104no—
663C2×C4—102no—
664C2×C4—108no—
665C2×C4—154no—
666C2×C4—152no—
667C2×C4—304no—
668C2×C4—302no—
669C2×C4—308no—
670C2×C4—608no—
671C2×C4D3×C22⋊D514yes—
672C2×C4C22×D3×D514yes—
673C2×C4C22×D3×D512yes—
674C2×C3—202no—
675C2×C3#6616714yescomplemented
676C2×C3C2×#414911yescharacteristic
677C2×C3C2×#415011yescharacteristic
678C2×C3C23×C22⋊D511yescharacteristic
679D3—24no—
680D3—44no—
681D3—202no—
682C5C2×#562911yescharacteristic, complemented, Sylow
683C22—34no—
684C22—68no—
685C22—62no—
686C22—62no—
687C22—64no—
688C22—64no—
689C22—64no—
690C22—102no—
691C22—102no—
692C22—102no—
693C22—128no—
694C22—204no—
695C22—302no—
696C22—302no—
697C22—302no—
698C22—604no—
699C22#9203012yes—
700C22#9203512yes—
701C22C2×D3×C22⋊D512yes—
702C22C23×D3×D511yescharacteristic
703C4—24no—
704C4—34no—
705C4—102no—
706C4—104no—
707C4—302no—
708C4—304no—
709C4C2×D3×C22⋊D514yes—
710C3C2×#6616711yescharacteristic, complemented, Sylow
711C2—64no—
712C2—124no—
713C2—202no—
714C2—602no—
715C2#1175523214yesdirect product factor
716C2C2×#9203011yescharacteristic
717C2C2×#9203511yescharacteristic
718C2C22×D3×C22⋊D511yescharacteristic
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×C5×#239C2semidirect
2. C22×#6771C2semidirect
3. C2×#91835C2semidirect
4. C2×C3×#4092C2semidirect
5. #11755232C2direct (N × H)
6. C2×#91466C2semidirect
7. C2×#91454C2semidirect
8. C2×#91453C2semidirect
9. C2×#91449C2semidirect
10. C2×D3×C4⋊Dic5C2semidirect
11. C2×#91416C2semidirect
12. C2×#91352C2semidirect
17. C2×C5×#239C22semidirect
31. C2×#6771C22semidirect
32. #91835C22semidirect
36. C3×#4092C22semidirect
43. #91466C22semidirect
44. #91454C22semidirect
45. #91453C22semidirect
46. #91449C22semidirect
47. D3×C4⋊Dic5C22semidirect
48. #91416C22semidirect
49. #91352C22semidirect
55. C2×#4092D3semidirect
82. C2×C4×C5×D3D4semidirect
113. C22×#239D5semidirect
146. #4092C2×D3semidirect
194. C4×C5×D3C2×D4semidirect
213. C2×#239C2×D5semidirect
368. C2×C4×D3C22⋊D5semidirect
463. C2×C3×C5#537semidirect
514. C4×D3C2×C22⋊D5semidirect
593. C3×C5C2×#537semidirect
623. C2×C5#5629semidirect
675. C2×C3#66167semidirect
682. C5C2×#5629semidirect
710. C3C2×#66167semidirect
715. C2#11755232direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C5×#2392
C22×#67712
C2×#918352
C2×C3×#40922
#117552322
C2×#914662
C2×#914542
C2×#914532
C2×#914492
C2×D3×C4⋊Dic52
C2×#914162
C2×#913522
C2×#661673
C2×#56295