Finite Group Databasebeta

← C2×#11754934 #14480606

Subgroups — C2×#11754934 #14480606

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×C3×#711C211yesmaximal, characteristic, complemented
2C22×#6771C211yesmaximal, characteristic, complemented
3C2×#91827C211yesmaximal, characteristic, complemented
4C2×C5×#938C211yesmaximal, characteristic, complemented
5C2×#91574C212yesmaximal, complemented
6C2×#91566C212yesmaximal, complemented
7C2×#91550C212yesmaximal, complemented
8C2×#91549C212yesmaximal, complemented
9#11754934C2116yesmaximal, direct product factor
10C2×D5×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C2×#91390C211yesmaximal, characteristic, complemented
12C2×#91369C211yesmaximal, characteristic, complemented
13C2×#65942—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C22×C4×D15C2211yescharacteristic
17C22×C5×#67C2212yes—
18C22×C4×C5×D3C2211yescharacteristic
19C22×C3×C22⋊D5C2212yes—
20C23×C3×Dic5C2212yes—
21C2×C3×#711—28no—
22C2×C3×#711C2218yescomplemented
23C22×C3×C4×D5C2211yescharacteristic
24C22×C3×Dic10C2211yescharacteristic
25C22×#1204C2211yescharacteristic
26C22×#1203C2211yescharacteristic
27C22×#1202C2211yescharacteristic
28C22×#1201C2211yescharacteristic
29C22×D5×Dic3C2212yes—
30C2×#6771—28no—
31C2×#6771C2218yescomplemented
32C2×#6719C2212yes—
33#91827C2218yescomplemented
34C2×C4⋊Dic15C2211yescharacteristic
35C2×C5×#217C2212yes—
36C5×#938C2218yescomplemented
37C2×C5×C4⋊Dic3C2211yescharacteristic
38#91574C22116yescomplemented
39#91566C22116yescomplemented
40#91550C22116yescomplemented
41#91549C22116yescomplemented
42C2×Dic3⋊Dic5C2212yes—
43C2×#6669C2212yes—
44C2×#6668C2212yes—
45C2×#6667C2212yes—
46C2×(C2×D3)⋊Dic5C2212yes—
47D5×C4⋊Dic3C2218yescomplemented
48#91390C2218yescomplemented
49#91369C2218yescomplemented
50C2×#5833—51nomaximal, Hall
51C22×#711D311yescharacteristic, complemented
52C22×#709—31no—
53C2×C5×#121—31no—
54C2×#4085—32no—
55C2×#4084—31no—
56C2×#4084—32no—
57C2×#4070—31no—
58#65942—316no—
59C2×#4043—31no—
60C2×D5×C4⋊C4—31no—
61C2×#4030—32no—
62C2×#4024—32no—
63C24×C3×C5C2312yes—
64C23×D15C2311yescharacteristic
65C23×C5×D3C2311yescharacteristic
66C23×C3×D5C2311yescharacteristic
67C2×C3×C5×D4—24no—
68C2×C3×C5×D4C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C2×#1220—44no—
71C2×#1220C2318yes—
72C22×Dic15C2312yes—
73C22×Dic15C2311yescharacteristic
74C2×C4×D15—24no—
75C2×C4×D15C2314yes—
76C2×C5×#67—44no—
77C2×C5×#67C2318yes—
78C22×C5×Dic3C2312yes—
79C22×C5×Dic3C2311yescharacteristic
80C2×C4×C5×D3—24no—
81C2×C4×C5×D3C2314yes—
82C2×C3×C22⋊D5—28no—
83C2×C3×C22⋊D5C2318yes—
84C22×C3×Dic5—28no—
85C22×C3×Dic5C2312yes—
86C22×C3×Dic5C2318yes—
87C22×C3×Dic5C2311yescharacteristic
88C3×#711—232no—
89C2×C3×C4×D5D418yescomplemented
90C2×C3×C4×D5C2314yes—
91C2×C3×Dic10—24no—
92C2×C3×Dic10C2314yes—
93C2×#1204—24no—
94C2×#1204C2314yes—
95C2×#1203—24no—
96C2×#1203C2314yes—
97C2×#1202—24no—
98C2×#1202C2314yes—
99C2×#1201—24no—
100C2×#1201C2314yes—
101C2×D5×Dic3—44no—
102C2×D5×Dic3C2318yes—
103#6771—232no—
104#6719C2318yes—
105C4⋊Dic15C2314yes—
106C5×#217C2318yes—
107C5×C4⋊Dic3C2314yes—
108Dic3⋊Dic5C2318yes—
109#6669C2318yes—
110#6668C2318yes—
111#6667C2318yes—
112(C2×D3)⋊Dic5C2318yes—
113C22×C3×#41—51no—
114C22×#235—51no—
115#5833—516no—
116C2×#946—51no—
117C2×#946—51no—
118C2×#939—52no—
119C2×#939—52no—
120C2×#938—51no—
121C2×#938D511yescharacteristic, complemented
122C2×#930—52no—
123C22×C4⋊Dic3—51no—
124C2×#924—52no—
125C22×C5×D4—32no—
126C22×C5×D4C2×D311yescharacteristic
127C23×C4×C5—31no—
128C22×C22⋊D5—31no—
129C22×C22⋊D5—32no—
130C22×C22⋊D5—31no—
131C22×C22⋊D5C2×D312yes—
132C23×Dic5C2×D312yes—
133C2×#711—28no—
134C2×#711C2×D318yescomplemented
135C2×#709—38no—
136C2×#709—68no—
137C22×D20—31no—
138C22×C4×D5—31no—
139C22×C4×D5—32no—
140C22×C4×D5C2×D311yescharacteristic
141C22×Dic10—31no—
142C22×Dic10C2×D311yescharacteristic
143C5×#121—38no—
144C2×C5×C4⋊C4—31no—
145C2×C5×C22⋊C4—32no—
146C2×C22⋊Dic5—32no—
147C2×C22⋊Dic5—32no—
148#4085—316no—
149#4084—38no—
150#4084—316no—
151C2×#685—32no—
152C2×C4⋊Dic5—31no—
153C2×C4⋊Dic5—32no—
154#4070—38no—
155C2×#683—32no—
156C2×#683—32no—
157#4043—38no—
158D5×C4⋊C4—38no—
159#4030—316no—
160#4024—316no—
161C2×#537—151noSylow
162C23×C3×C5—24no—
163C23×C3×C5—24no—
164C23×C3×C5—24no—
165C23×C3×C5C2414yes—
166C23×C3×C5C2411yescharacteristic
167C22×D15—22no—
168C22×D15—22no—
169C22×D15—22no—
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×D5C2×D414yes—
178C22×C3×D5C2412yes—
179C3×C5×D4—28no—
180C2×C3×C4×C5C2×D414yes—
181C2×C3×C4×C5C2412yes—
182#1220—48no—
183C2×Dic15—22no—
184C2×Dic15—24no—
185C2×Dic15C2414yes—
186C2×Dic15C2412yes—
187C4×D15—28no—
188C5×#67—48no—
189C2×C5×Dic3—22no—
190C2×C5×Dic3—24no—
191C2×C5×Dic3C2414yes—
192C2×C5×Dic3C2412yes—
193C4×C5×D3—28no—
194C3×C22⋊D5—216no—
195C2×C3×Dic5—24no—
196C2×C3×Dic5—216no—
197C2×C3×Dic5C2×D414yes—
198C2×C3×Dic5C2414yes—
199C2×C3×Dic5C2412yes—
200C3×C4×D5C2×D4116yescomplemented
201C3×Dic10—28no—
202#1204—28no—
203#1203—28no—
204#1202—28no—
205#1201—28no—
206D5×Dic3—48no—
207C2×C3×#41—58no—
208C2×C3×#41—108no—
209C22×C3×Q8—51no—
210C22×C3×D4—52no—
211C22×C3×D4C2×D511yescharacteristic
212C23×C3×C4—51no—
213C23×C3×C4—52no—
214C22×#67—51no—
215C22×#67—52no—
216C22×#67—51no—
217C22×#67C2×D512yes—
218C23×Dic3—52no—
219C2×#235—58no—
220C2×#235—108no—
221C22×D12—51no—
222C22×C4×D3—51no—
223C22×C4×D3C2×D511yescharacteristic
224C22×Dic6—51no—
225C2×#217—52no—
226C2×#217C2×D512yes—
227#946—58no—
228#946—58no—
229#939—516no—
230#939—516no—
231#938—58no—
232#938C2×D518yescomplemented
233#930—516no—
234C2×(C2×D3)⋊C4—52no—
235C2×(C2×D3)⋊C4—52no—
236C2×C4⋊Dic3—51no—
237C2×C4⋊Dic3—52no—
238C2×C4⋊Dic3—58no—
239C2×C4⋊Dic3C2×D511yescharacteristic
240#924—516no—
241C2×Dic3⋊C4—52no—
242C2×Dic3⋊C4—52no—
243C24×C5—31no—
244C24×C5C22×D312yes—
245C23×D5—31no—
246C23×D5C22×D311yescharacteristic
247C2×C5×D4—24no—
248C2×C5×D4—38no—
249C2×C5×D4—124no—
250C2×C5×D4C22×D314yes—
251C22×C4×C5—31no—
252C22×C4×C5—32no—
253C22×C4×C5—34no—
254C22×C4×C5—64no—
255C22×C4×C5C22×D311yescharacteristic
256C2×C22⋊D5—28no—
257C2×C22⋊D5—34no—
258C2×C22⋊D5—38no—
259C2×C22⋊D5—34no—
260C2×C22⋊D5—64no—
261C2×C22⋊D5—64no—
262C2×C22⋊D5—124no—
263C2×C22⋊D5C22×D318yes—
264C22×Dic5—28no—
265C22×Dic5—31no—
266C22×Dic5—32no—
267C22×Dic5C22×D312yes—
268C22×Dic5C22×D318yes—
269C22×Dic5C22×D311yescharacteristic
270#711—232no—
271#709—632no—
272C2×D20—34no—
273C2×D20—64no—
274C2×C4×D5—34no—
275C2×C4×D5—38no—
276C2×C4×D5—64no—
277C2×C4×D5—124no—
278C2×C4×D5#6718yescomplemented
279C2×C4×D5C22×D314yes—
280C2×Dic10—24no—
281C2×Dic10—34no—
282C2×Dic10—64no—
283C2×Dic10C22×D314yes—
284C5×C4⋊C4—34no—
285C5×C22⋊C4—38no—
286C22⋊Dic5—38no—
287C22⋊Dic5—38no—
288#685—38no—
289C4⋊Dic5—34no—
290C4⋊Dic5—38no—
291#683—38no—
292#683—38no—
293C22×#41—51no—
294C22×#41—151no—
295#537—1516no—
296C2×C22⋊Q8—152no—
297C2×C22⋊Q8—151no—
298C2×C22⋊Q8—151no—
299C2×#121—31no—
300C2×#121—152no—
301C2×#121—152no—
302C2×#121—152no—
303C2×#121—151no—
304C22×C4⋊C4—151no—
305C22×C3×C5—24no—
306C22×C3×C5—24no—
307C22×C3×C5—24no—
308C22×C3×C5—48no—
309C22×C3×C5C22×D412yes—
310C22×C3×C5H(5,𝔽2)12yes—
311C22×C3×C52−1+412yes—
312C22×C3×C5C2511yescharacteristic
313C2×D15—22no—
314C2×D15—22no—
315C2×D15—22no—
316C2×D15—44no—
317C2×C5×D3—22no—
318C2×C5×D3—22no—
319C2×C5×D3—22no—
320C2×C5×D3—44no—
321C2×C3×D5—28no—
322C2×C3×D5—22no—
323C2×C3×D5—22no—
324C2×C3×D5C22×D414yes—
325C3×C4×C5C22×D414yes—
326Dic15—22no—
327Dic15—24no—
328C3×Dic5—24no—
329C3×Dic5C22×D414yes—
330C5×Dic3—22no—
331C5×Dic3—24no—
332C24×C3—51no—
333C24×C3C22×D512yes—
334C23×D3—51no—
335C23×D3C22×D511yescharacteristic
336C3×#41—1032no—
337C2×C3×Q8—54no—
338C2×C3×Q8—104no—
339C2×C3×D4—24no—
340C2×C3×D4—58no—
341C2×C3×D4—108no—
342C2×C3×D4C22×D514yes—
343C22×C3×C4—51no—
344C22×C3×C4—58no—
345C22×C3×C4—54no—
346C22×C3×C4—52no—
347C22×C3×C4—58no—
348C22×C3×C4—108no—
349C22×C3×C4C22×D511yescharacteristic
350C2×#67—44no—
351C2×#67—54no—
352C2×#67—58no—
353C2×#67—54no—
354C2×#67—104no—
355C2×#67—104no—
356C2×#67—204no—
357C2×#67C22×D518yes—
358C22×Dic3—51no—
359C22×Dic3—52no—
360C22×Dic3—58no—
361C22×Dic3—204no—
362C22×Dic3C22×D511yescharacteristic
363C22×Dic3C22×D512yes—
364#235—1032no—
365C2×D12—54no—
366C2×D12—104no—
367C2×C4×D3—24no—
368C2×C4×D3—54no—
369C2×C4×D3—104no—
370C2×C4×D3C22×D514yes—
371C2×Dic6—54no—
372C2×Dic6—104no—
373#217—58no—
374#217C22×D518yes—
375(C2×D3)⋊C4—58no—
376(C2×D3)⋊C4—58no—
377C4⋊Dic3—54no—
378C4⋊Dic3—58no—
379C4⋊Dic3C22×D514yes—
380Dic3⋊C4—58no—
381Dic3⋊C4—58no—
382C23×C5—24no—
383C23×C5—24no—
384C23×C5—24no—
385C23×C5—32no—
386C23×C5—62no—
387C23×C5—62no—
388C23×C5—62no—
389C23×C5C23×D314yes—
390C23×C5C23×D311yescharacteristic
391C22×D5—22no—
392C22×D5—22no—
393C22×D5—32no—
394C22×D5—62no—
395C22×D5—62no—
396C22×D5—62no—
397C22×D5C2×#6714yes—
398C22×D5C23×D312yes—
399C5×D4—28no—
400C5×D4—128no—
401C2×C4×C5—32no—
402C2×C4×C5—34no—
403C2×C4×C5—64no—
404C2×C4×C5—62no—
405C2×C4×C5—68no—
406C2×C4×C5C2×#6714yes—
407C2×C4×C5C23×D312yes—
408C22⋊D5—216no—
409C22⋊D5—68no—
410C22⋊D5—68no—
411C22⋊D5—128no—
412C2×Dic5—24no—
413C2×Dic5—216no—
414C2×Dic5—34no—
415C2×Dic5—32no—
416C2×Dic5—64no—
417C2×Dic5—62no—
418C2×Dic5C2×#6714yes—
419C2×Dic5C23×D314yes—
420C2×Dic5C23×D312yes—
421D20—68no—
422C4×D5—68no—
423C4×D5—128no—
424C4×D5C2×#67116yescomplemented
425Dic10—28no—
426Dic10—68no—
427C2×#41—58no—
428C2×#41—108no—
429C2×#41—158no—
430C2×#41—308no—
431C22×Q8—51no—
432C22×Q8—151no—
433C22×D4—32no—
434C22×D4—52no—
435C22×D4—151no—
436C22×D4—151no—
437C22×D4—151no—
438C22×D4—152no—
439C22×D4D3×D511yescharacteristic
440C23×C4—31no—
441C23×C4—51no—
442C23×C4—52no—
443C23×C4—152no—
444C23×C4—151no—
445C22⋊Q8—1516no—
446C22⋊Q8—158no—
447C22⋊Q8—158no—
448#121—38no—
449#121—1516no—
450#121—1516no—
451#121—1516no—
452#121—158no—
453C2×C4⋊C4—31no—
454C2×C4⋊C4—158no—
455C2×C4⋊C4—152no—
456C2×C4⋊C4—152no—
457C2×C4⋊C4—152no—
458C2×C4⋊C4—151no—
459C2×C22⋊C4—32no—
460C2×C22⋊C4—152no—
461C2×C22⋊C4—152no—
462C2×C22⋊C4—152no—
463C2×C3×C5—44no—
464C2×C3×C5#53714yescomplemented
465C2×C3×C5C23×D411yescharacteristic
466C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
467C2×C3×C5C2×2−1+411yescharacteristic
468D15—42no—
469C3×D5—24no—
470C5×D3—42no—
471C23×C3—24no—
472C23×C3—24no—
473C23×C3—24no—
474C23×C3—54no—
475C23×C3—52no—
476C23×C3—102no—
477C23×C3—102no—
478C23×C3C23×D514yes—
479C23×C3C23×D511yescharacteristic
480C22×D3—22no—
481C22×D3—22no—
482C22×D3—22no—
483C22×D3—52no—
484C22×D3—102no—
485C22×D3—102no—
486C22×D3—102no—
487C22×D3C23×D512yes—
488C3×Q8—108no—
489C3×D4—28no—
490C3×D4—1016no—
491C2×C3×C4—54no—
492C2×C3×C4—52no—
493C2×C3×C4—516no—
494C2×C3×C4—54no—
495C2×C3×C4—1016no—
496C2×C3×C4—104no—
497C2×C3×C4D4×D514yes—
498C2×C3×C4C23×D512yes—
499#67—48no—
500#67—108no—
501#67—108no—
502#67—208no—
503C2×Dic3—22no—
504C2×Dic3—24no—
505C2×Dic3—52no—
506C2×Dic3—54no—
507C2×Dic3—102no—
508C2×Dic3—104no—
509C2×Dic3—208no—
510C2×Dic3C23×D512yes—
511C2×Dic3C23×D514yes—
512D12—108no—
513C4×D3—28no—
514C4×D3—108no—
515Dic6—108no—
516C22×C5—24no—
517C22×C5—24no—
518C22×C5—24no—
519C22×C5—48no—
520C22×C5—62no—
521C22×C5—62no—
522C22×C5—62no—
523C22×C5—124no—
524C22×C5#100912yes—
525C22×C5#101012yes—
526C22×C5C22×#6712yes—
527C22×C5C24×D311yescharacteristic
528C2×D5—22no—
529C2×D5—22no—
530C2×D5—28no—
531C2×D5—62no—
532C2×D5—62no—
533C2×D5—62no—
534C2×D5—124no—
535C2×D5C22×#6714yes—
536C4×C5—64no—
537C4×C5—62no—
538C4×C5C22×#6714yes—
539Dic5—24no—
540Dic5—64no—
541Dic5—62no—
542Dic5C22×#6714yes—
543C24—31no—
544C24—51no—
545C24—151no—
546C24C2×D3×D512yes—
547#41—1032no—
548#41—3032no—
549C2×Q8—54no—
550C2×Q8—104no—
551C2×Q8—154no—
552C2×Q8—304no—
553C2×D4—24no—
554C2×D4—38no—
555C2×D4—58no—
556C2×D4—108no—
557C2×D4—124no—
558C2×D4—154no—
559C2×D4—154no—
560C2×D4—154no—
561C2×D4—158no—
562C2×D4—304no—
563C2×D4—304no—
564C2×D4—304no—
565C2×D4—604no—
566C2×D4C2×D3×D514yes—
567C22×C4—31no—
568C22×C4—32no—
569C22×C4—34no—
570C22×C4—51no—
571C22×C4—58no—
572C22×C4—54no—
573C22×C4—58no—
574C22×C4—52no—
575C22×C4—64no—
576C22×C4—108no—
577C22×C4—158no—
578C22×C4—152no—
579C22×C4—151no—
580C22×C4—154no—
581C22×C4—304no—
582C22×C4—604no—
583C22×C4C2×D3×D511yescharacteristic
584C4⋊C4—34no—
585C4⋊C4—158no—
586C4⋊C4—158no—
587C4⋊C4—158no—
588C4⋊C4—154no—
589C22⋊C4—38no—
590C22⋊C4—158no—
591C22⋊C4—158no—
592C22⋊C4—158no—
593C3×C5C2×#53711yescharacteristic, complemented, Hall
594C22×C3—24no—
595C22×C3—24no—
596C22×C3—24no—
597C22×C3—48no—
598C22×C3—54no—
599C22×C3—108no—
600C22×C3—102no—
601C22×C3—102no—
602C22×C3C2×D4×D512yes—
603C22×C3#414412yes—
604C22×C3#415012yes—
605C22×C3C24×D511yescharacteristic
606C2×D3—22no—
607C2×D3—22no—
608C2×D3—22no—
609C2×D3—44no—
610C2×D3—102no—
611C2×D3—102no—
612C2×D3—102no—
613C2×D3—204no—
614C3×C4—54no—
615C3×C4—104no—
616C3×C4C2×D4×D514yes—
617Dic3—22no—
618Dic3—24no—
619Dic3—102no—
620Dic3—104no—
621C2×C5—44no—
622C2×C5—122no—
623C2×C5#583314yescomplemented
624C2×C5C2×#100911yescharacteristic
625C2×C5C2×#101011yescharacteristic
626C2×C5C23×#6711yescharacteristic
627D5—24no—
628D5—122no—
629C23—24no—
630C23—24no—
631C23—24no—
632C23—32no—
633C23—54no—
634C23—52no—
635C23—62no—
636C23—62no—
637C23—62no—
638C23—102no—
639C23—102no—
640C23—152no—
641C23—302no—
642C23—302no—
643C23—302no—
644C23C22×D3×D514yes—
645C23C22×D3×D511yescharacteristic
646Q8—108no—
647Q8—308no—
648D4—28no—
649D4—1016no—
650D4—128no—
651D4—308no—
652D4—308no—
653D4—308no—
654D4—608no—
655C2×C4—32no—
656C2×C4—34no—
657C2×C4—54no—
658C2×C4—52no—
659C2×C4—516no—
660C2×C4—54no—
661C2×C4—64no—
662C2×C4—62no—
663C2×C4—68no—
664C2×C4—1016no—
665C2×C4—104no—
666C2×C4—154no—
667C2×C4—152no—
668C2×C4—304no—
669C2×C4—302no—
670C2×C4—308no—
671C2×C4—608no—
672C2×C4D5×#6714yes—
673C2×C4C22×D3×D512yes—
674C2×C3—44no—
675C2×C3—104no—
676C2×C3#6594214yescomplemented
677C2×C3C22×D4×D511yescharacteristic
678C2×C3C2×#414411yescharacteristic
679C2×C3C2×#415011yescharacteristic
680D3—42no—
681D3—202no—
682C5C2×#583311yescharacteristic, complemented, Sylow
683C22—24no—
684C22—24no—
685C22—24no—
686C22—48no—
687C22—54no—
688C22—62no—
689C22—62no—
690C22—62no—
691C22—108no—
692C22—102no—
693C22—102no—
694C22—124no—
695C22—302no—
696C22—302no—
697C22—302no—
698C22—604no—
699C22#9202012yes—
700C22#9202712yes—
701C22C2×D5×#6712yes—
702C22C23×D3×D511yescharacteristic
703C4—54no—
704C4—62no—
705C4—64no—
706C4—104no—
707C4—302no—
708C4—304no—
709C4C2×D5×#6714yes—
710C3C2×#6594211yescharacteristic, complemented, Sylow
711C2—44no—
712C2—104no—
713C2—122no—
714C2—602no—
715C2#1175493414yesdirect product factor
716C2C2×#9202011yescharacteristic
717C2C2×#9202711yescharacteristic
718C2C22×D5×#6711yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#537
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#711C2semidirect
2. C22×#6771C2semidirect
3. C2×#91827C2semidirect
4. C2×C5×#938C2semidirect
5. C2×#91574C2semidirect
6. C2×#91566C2semidirect
7. C2×#91550C2semidirect
8. C2×#91549C2semidirect
9. #11754934C2direct (N × H)
10. C2×D5×C4⋊Dic3C2semidirect
11. C2×#91390C2semidirect
12. C2×#91369C2semidirect
22. C2×C3×#711C22semidirect
31. C2×#6771C22semidirect
33. #91827C22semidirect
36. C5×#938C22semidirect
38. #91574C22semidirect
39. #91566C22semidirect
40. #91550C22semidirect
41. #91549C22semidirect
47. D5×C4⋊Dic3C22semidirect
48. #91390C22semidirect
49. #91369C22semidirect
51. C22×#711D3semidirect
89. C2×C3×C4×D5D4semidirect
121. C2×#938D5semidirect
134. C2×#711C2×D3semidirect
200. C3×C4×D5C2×D4semidirect
232. #938C2×D5semidirect
278. C2×C4×D5#67semidirect
424. C4×D5C2×#67semidirect
464. C2×C3×C5#537semidirect
593. C3×C5C2×#537semidirect
623. C2×C5#5833semidirect
676. C2×C3#65942semidirect
682. C5C2×#5833semidirect
710. C3C2×#65942semidirect
715. C2#11754934direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7112
C22×#67712
C2×#918272
C2×C5×#9382
C2×#915742
C2×#915662
C2×#915502
C2×#915492
#117549342
C2×D5×C4⋊Dic32
C2×#913902
C2×#913692
C2×#659423
C2×#58335