Finite Group Databasebeta

← C2×#11754222 #14482749

Subgroups — C2×#11754222 #14482749

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6817C211yesmaximal, characteristic, complemented
2C22×#6773C211yesmaximal, characteristic, complemented
3C2×C5×#924C211yesmaximal, characteristic, complemented
4C2×C3×C4×C22⋊D5C211yesmaximal, characteristic, complemented
5C2×#91562C212yesmaximal, complemented
6C2×#91533C212yesmaximal, complemented
7C2×#91418C211yesmaximal, characteristic, complemented
8C2×#91404C212yesmaximal, complemented
9C2×#91376C211yesmaximal, characteristic, complemented
10C2×#91360C211yesmaximal, characteristic, complemented
11#11754222C2116yesmaximal, direct product factor
12C2×#91354C212yesmaximal, complemented
13C2×#65965—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2212yes—
16C2×#6817—28no—
17C2×#6817C2218yescomplemented
18C22×D60C2211yescharacteristic
19C22×C4×D15C2212yes—
20C22×Dic30C2211yescharacteristic
21C22×C5×Dic6C2211yescharacteristic
22C22×C3×C22⋊D5C2211yescharacteristic
23C22×C3×C4×D5C2211yescharacteristic
24C22×#1202C2212yes—
25C22×#1200C2212yes—
26C22×#1200C2212yes—
27C2×#6773—28no—
28C2×#6773C2218yescomplemented
29C2×C5×#217C2212yes—
30C2×C5×C4⋊Dic3C2211yescharacteristic
31C5×#924C2218yescomplemented
32C2×C5×Dic3⋊C4C2212yes—
33C2×C3×C22⋊Dic5C2211yescharacteristic
34C3×C4×C22⋊D5C2218yescomplemented
35C2×C3×#685C2211yescharacteristic
36C2×C3×#683C2211yescharacteristic
37C2×C3×C4×Dic5C2211yescharacteristic
38#91562C22116yescomplemented
39C2×Dic3⋊Dic5C2212yes—
40C2×#6668C2212yes—
41C2×#6668C2212yes—
42C2×#6667C2212yes—
43C2×#6665C2212yes—
44#91533C22116yescomplemented
45#91418C2218yescomplemented
46#91404C22116yescomplemented
47#91376C2218yescomplemented
48#91360C2218yescomplemented
49#91354C22116yescomplemented
50C2×#5551—51nomaximal, Hall
51C22×#713—31no—
52C22×#709—31no—
53C2×C5×C22⋊Q8—31no—
54C2×#4090—31no—
55C2×C4×C22⋊D5D311yescharacteristic, complemented
56#65965—316no—
57C2×#4043—31no—
58C2×#4040—32no—
59C2×#4039—31no—
60C2×D5×C4⋊C4—32no—
61C2×#4030—32no—
62C2×#4029—32no—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2312yes—
65C23×C3×D5C2311yescharacteristic
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C2×#1220—28no—
71C2×#1220C2318yes—
72C22×Dic15C2312yes—
73#6817—232no—
74C2×D60D418yescomplemented
75C2×D60C2314yes—
76C2×C4×D15—28no—
77C2×C4×D15C2318yes—
78C2×Dic30—24no—
79C2×Dic30C2314yes—
80C22×C5×Dic3C2312yes—
81C22×C5×Dic3C2312yes—
82C2×C5×Dic6—24no—
83C2×C5×Dic6C2314yes—
84C2×C3×C22⋊D5—24no—
85C2×C3×C22⋊D5C2314yes—
86C22×C3×Dic5C2311yescharacteristic
87C22×C3×Dic5C2311yescharacteristic
88C22×C3×Dic5C2311yescharacteristic
89C2×C3×C4×D5—24no—
90C2×C3×C4×D5C2314yes—
91C2×#1202—28no—
92C2×#1202C2318yes—
93C2×#1200—28no—
94C2×#1200—28no—
95C2×#1200C2318yes—
96C2×#1200C2318yes—
97#6773—232no—
98C5×#217C2318yes—
99C5×C4⋊Dic3C2314yes—
100C5×Dic3⋊C4C2318yes—
101C3×C22⋊Dic5C2314yes—
102C3×#685C2314yes—
103C3×#683C2314yes—
104C3×C4×Dic5C2314yes—
105Dic3⋊Dic5C2318yes—
106#6668C2318yes—
107#6668C2318yes—
108#6667C2318yes—
109#6665C2318yes—
110C22×#235—51no—
111C22×#235—51no—
112C2×C3×C4×D4—51no—
113C2×#938—52no—
114C2×#924—51no—
115C2×#924D511yescharacteristic, complemented
116#5551—516no—
117C2×D3×C4⋊C4—52no—
118C2×#883—52no—
119C2×#883—52no—
120C2×C4×D12—51no—
121C2×#869—51no—
122C22×C5×Q8—31no—
123C23×C4×C5C2×D311yescharacteristic
124C22×C22⋊D5—32no—
125C22×C22⋊D5C2×D311yescharacteristic
126C2×#713—38no—
127C2×#713—68no—
128C2×#709—38no—
129C2×#709—68no—
130C22×D20—31no—
131C22×D20—32no—
132C22×C4×D5—32no—
133C22×C4×D5—32no—
134C22×C4×D5—32no—
135C22×C4×D5C2×D311yescharacteristic
136C22×Dic10—31no—
137C5×C22⋊Q8—38no—
138C2×C5×C4⋊C4—32no—
139C2×C5×C4⋊C4—31no—
140C2×C5×C22⋊C4—32no—
141C2×C22⋊Dic5C2×D311yescharacteristic
142#4090—38no—
143C4×C22⋊D5C2×D318yescomplemented
144C2×#685—32no—
145C2×#685—32no—
146C2×#685C2×D311yescharacteristic
147C2×C4⋊Dic5—32no—
148C2×#683—32no—
149C2×#683—32no—
150C2×#683C2×D311yescharacteristic
151C2×C4×Dic5C2×D311yescharacteristic
152#4043—38no—
153#4040—316no—
154#4039—38no—
155D5×C4⋊C4—316no—
156#4030—316no—
157#4029—316no—
158C2×#547—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5—22no—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—24no—
165C22×D15—24no—
166C22×D15C2×D418yes—
167C22×D15C2414yes—
168C22×C3×D5—22no—
169C22×C3×D5—22no—
170C22×C3×D5—22no—
171C22×C3×D5C2412yes—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5—28no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177#1220—216no—
178C2×Dic15—24no—
179C2×Dic15C2414yes—
180D60C2×D4116yescomplemented
181C4×D15—216no—
182Dic30—28no—
183C2×C5×Dic3—24no—
184C2×C5×Dic3—24no—
185C2×C5×Dic3C2414yes—
186C2×C5×Dic3C2414yes—
187C5×Dic6—28no—
188C3×C22⋊D5—28no—
189C2×C3×Dic5—22no—
190C2×C3×Dic5—22no—
191C2×C3×Dic5#4114yescomplemented
192C2×C3×Dic5C2412yes—
193C2×C3×Dic5C2412yes—
194C2×C3×Dic5C2412yes—
195C3×C4×D5—28no—
196#1202—216no—
197#1200—216no—
198#1200—216no—
199C22×C3×D4—51no—
200C23×C3×C4—51no—
201C23×C3×C4C2×D511yescharacteristic
202C22×#67—52no—
203C22×#67—52no—
204C2×#235—58no—
205C2×#235—58no—
206C2×#235—108no—
207C2×#235—108no—
208C22×D12—51no—
209C22×C4×D3—52no—
210C22×C4×D3—52no—
211C22×C4×D3—52no—
212C22×Dic6—51no—
213C22×Dic6C2×D511yescharacteristic
214C3×C4×D4—58no—
215C2×C3×C4⋊C4—51no—
216C2×C3×C22⋊C4—51no—
217C2×C3×C22⋊C4—51no—
218C2×C3×C42—51no—
219C2×#217—52no—
220C2×#217C2×D512yes—
221#938—516no—
222C2×(C2×D3)⋊C4—52no—
223C2×C4⋊Dic3—52no—
224C2×C4⋊Dic3—52no—
225C2×C4⋊Dic3C2×D511yescharacteristic
226#924—58no—
227#924C2×D518yescomplemented
228C2×Dic3⋊C4—52no—
229C2×Dic3⋊C4C2×D512yes—
230D3×C4⋊C4—516no—
231#883—516no—
232#883—516no—
233C4×D12—58no—
234#869—58no—
235C24×C5C22×D311yescharacteristic
236C23×D5—32no—
237C23×D5C22×D311yescharacteristic
238C2×C5×Q8—34no—
239C2×C5×Q8—64no—
240C22×C4×C5—24no—
241C22×C4×C5—32no—
242C22×C4×C5—32no—
243C22×C4×C5C22×D311yescharacteristic
244C22×C4×C5C22×D314yes—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—24no—
247C2×C22⋊D5—38no—
248C2×C22⋊D5—68no—
249C2×C22⋊D5C22×D314yes—
250C22×Dic5—32no—
251C22×Dic5C22×D311yescharacteristic
252C22×Dic5C22×D311yescharacteristic
253C22×Dic5C22×D311yescharacteristic
254#713—632no—
255#709—632no—
256C2×D20—38no—
257C2×D20—34no—
258C2×D20—38no—
259C2×D20—68no—
260C2×C4×D5—24no—
261C2×C4×D5—38no—
262C2×C4×D5—38no—
263C2×C4×D5—38no—
264C2×C4×D5—68no—
265C2×C4×D5—68no—
266C2×C4×D5—68no—
267C2×C4×D5C22×D314yes—
268C2×Dic10—34no—
269C2×Dic10—64no—
270C5×C4⋊C4—38no—
271C5×C4⋊C4—34no—
272C5×C22⋊C4—38no—
273C22⋊Dic5C22×D314yes—
274#685—38no—
275#685—38no—
276#685C22×D314yes—
277C4⋊Dic5—38no—
278#683—38no—
279#683—38no—
280#683C22×D314yes—
281C4×Dic5C22×D314yes—
282C22×#41—151no—
283C22×#41—151no—
284#547—1516no—
285C2×C4⋊Q8—151no—
286C2×#123—152no—
287C2×#123—152no—
288C2×C22⋊Q8—31no—
289C2×C22⋊Q8—151no—
290C2×#121—152no—
291C2×C4×D4—51no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5—22no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5—44no—
298C22×C3×C5C22×D412yes—
299C22×C3×C5C2×#4112yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×D15—216no—
303C2×D15—24no—
304C2×D15—24no—
305C2×D15C22×D418yes—
306C2×C3×D5—22no—
307C2×C3×D5—22no—
308C2×C3×D5—22no—
309C2×C3×D5—44no—
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—24no—
313C3×Dic5—22no—
314C3×Dic5—22no—
315C3×Dic5C2×#4114yescomplemented
316C5×Dic3—24no—
317C5×Dic3—24no—
318C24×C3—51no—
319C24×C3C22×D511yescharacteristic
320C23×D3—52no—
321C2×C3×D4—54no—
322C2×C3×D4—104no—
323C22×C3×C4—24no—
324C22×C3×C4—51no—
325C22×C3×C4—51no—
326C22×C3×C4—51no—
327C22×C3×C4—54no—
328C22×C3×C4—104no—
329C22×C3×C4C22×D511yescharacteristic
330C22×C3×C4C22×D514yes—
331C22×C3×C4C22×D511yescharacteristic
332C2×#67—58no—
333C2×#67—58no—
334C2×#67—108no—
335C2×#67—108no—
336C22×Dic3—52no—
337C22×Dic3C22×D512yes—
338C22×Dic3C22×D512yes—
339#235—1032no—
340#235—1032no—
341C2×D12—58no—
342C2×D12—54no—
343C2×C4×D3—58no—
344C2×C4×D3—58no—
345C2×C4×D3—58no—
346C2×C4×D3—108no—
347C2×C4×D3—108no—
348C2×C4×D3—108no—
349C2×Dic6—24no—
350C2×Dic6—54no—
351C2×Dic6—104no—
352C2×Dic6C22×D514yes—
353C3×C4⋊C4—54no—
354C3×C22⋊C4—54no—
355C3×C22⋊C4—54no—
356C3×C42—54no—
357#217—58no—
358#217C22×D518yes—
359(C2×D3)⋊C4—58no—
360C4⋊Dic3—58no—
361C4⋊Dic3—58no—
362C4⋊Dic3C22×D514yes—
363Dic3⋊C4—58no—
364Dic3⋊C4C22×D518yes—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5C23×D312yes—
369C23×C5C23×D311yescharacteristic
370C22×D5—22no—
371C22×D5—22no—
372C22×D5—22no—
373C22×D5—38no—
374C22×D5—34no—
375C22×D5—64no—
376C22×D5—64no—
377C22×D5C23×D312yes—
378C5×Q8—68no—
379C2×C4×C5—22no—
380C2×C4×C5—28no—
381C2×C4×C5—34no—
382C2×C4×C5—34no—
383C2×C4×C5—64no—
384C2×C4×C5—64no—
385C2×C4×C5D3×D414yes—
386C2×C4×C5C23×D312yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—28no—
389C22⋊D5—616no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—34no—
393C2×Dic5—64no—
394C2×Dic5#23514yescomplemented
395C2×Dic5C23×D312yes—
396C2×Dic5C23×D312yes—
397C2×Dic5C23×D312yes—
398D20—316no—
399D20—616no—
400C4×D5—28no—
401C4×D5—616no—
402C4×D5—616no—
403C4×D5—616no—
404Dic10—68no—
405C2×#41—158no—
406C2×#41—158no—
407C2×#41—308no—
408C2×#41—308no—
409C22×Q8—31no—
410C22×Q8—151no—
411C22×D4—51no—
412C22×D4—152no—
413C22×D4—152no—
414C22×D4—151no—
415C23×C4—51no—
416C23×C4—152no—
417C23×C4—152no—
418C23×C4—152no—
419C23×C4D3×D511yescharacteristic
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—38no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—58no—
427C4×D4—158no—
428C2×C4⋊C4—32no—
429C2×C4⋊C4—31no—
430C2×C4⋊C4—51no—
431C2×C4⋊C4—1516no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—152no—
434C2×C4⋊C4—152no—
435C2×C22⋊C4—32no—
436C2×C22⋊C4—51no—
437C2×C22⋊C4—51no—
438C2×C22⋊C4—152no—
439C2×C22⋊C4—152no—
440C2×C42—51no—
441C2×C3×C5—42no—
442C2×C3×C5#54714yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—28no—
447C3×D5—42no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3—52no—
452C23×C3—102no—
453C23×C3—102no—
454C23×C3—102no—
455C23×C3C23×D512yes—
456C23×C3C23×D511yescharacteristic
457C22×D3—58no—
458C22×D3—54no—
459C22×D3—104no—
460C22×D3—104no—
461C3×D4—108no—
462C2×C3×C4—22no—
463C2×C3×C4—28no—
464C2×C3×C4—54no—
465C2×C3×C4—52no—
466C2×C3×C4—52no—
467C2×C3×C4—52no—
468C2×C3×C4—102no—
469C2×C3×C4—102no—
470C2×C3×C4—108no—
471C2×C3×C4D4×D514yes—
472C2×C3×C4C23×D512yes—
473C2×C3×C4C23×D512yes—
474#67—1016no—
475#67—1016no—
476C2×Dic3—24no—
477C2×Dic3—24no—
478C2×Dic3—54no—
479C2×Dic3—104no—
480C2×Dic3C23×D514yes—
481C2×Dic3C23×D514yes—
482D12—516no—
483C4×D3—1016no—
484C4×D3—1016no—
485C4×D3—1016no—
486Dic6—28no—
487Dic6—108no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—44no—
492C22×C5C2×#23512yes—
493C22×C5C2×D3×D412yes—
494C22×C5#101012yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—22no—
497C2×D5—22no—
498C2×D5—22no—
499C2×D5—38no—
500C2×D5—44no—
501C2×D5—64no—
502C2×D5—64no—
503C2×D5—616no—
504C4×C5—22no—
505C4×C5—64no—
506C4×C5—64no—
507C4×C5C2×D3×D414yes—
508Dic5—22no—
509Dic5—22no—
510Dic5—64no—
511Dic5C2×#23514yescomplemented
512C24—51no—
513C24—152no—
514C24C2×D3×D511yescharacteristic
515#41—3032no—
516#41—3032no—
517C2×Q8—34no—
518C2×Q8—64no—
519C2×Q8—154no—
520C2×Q8—304no—
521C2×D4—54no—
522C2×D4—104no—
523C2×D4—158no—
524C2×D4—158no—
525C2×D4—158no—
526C2×D4—154no—
527C2×D4—308no—
528C2×D4—308no—
529C22×C4—24no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—51no—
533C22×C4—51no—
534C22×C4—51no—
535C22×C4—54no—
536C22×C4—104no—
537C22×C4—158no—
538C22×C4—158no—
539C22×C4—152no—
540C22×C4—158no—
541C22×C4—308no—
542C22×C4—308no—
543C22×C4—308no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—38no—
548C4⋊C4—34no—
549C4⋊C4—54no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—158no—
553C22⋊C4—38no—
554C22⋊C4—54no—
555C22⋊C4—54no—
556C22⋊C4—158no—
557C22⋊C4—158no—
558C42—54no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3—102no—
565C22×C3—102no—
566C22×C3—102no—
567C22×C3—204no—
568C22×C3C2×D4×D512yes—
569C22×C3#414712yes—
570C22×C3D5×#4112yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—58no—
573C2×D3—1016no—
574C2×D3—104no—
575C2×D3—104no—
576C3×C4—22no—
577C3×C4—54no—
578C3×C4—102no—
579C3×C4—102no—
580C3×C4C2×D4×D514yes—
581Dic3—24no—
582Dic3—24no—
583Dic3—104no—
584C2×C5—42no—
585C2×C5#555114yescomplemented
586C2×C5C22×#23511yescharacteristic
587C2×C5C22×D3×D411yescharacteristic
588C2×C5C2×#101011yescharacteristic
589D5—42no—
590D5—68no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—52no—
595C23—102no—
596C23—102no—
597C23—102no—
598C23—158no—
599C23—154no—
600C23—304no—
601C23—304no—
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—68no—
605Q8—308no—
606D4—108no—
607D4—1516no—
608D4—3016no—
609D4—3016no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—34no—
613C2×C4—34no—
614C2×C4—54no—
615C2×C4—52no—
616C2×C4—52no—
617C2×C4—52no—
618C2×C4—64no—
619C2×C4—64no—
620C2×C4—102no—
621C2×C4—102no—
622C2×C4—108no—
623C2×C4—154no—
624C2×C4—3016no—
625C2×C4—3016no—
626C2×C4—3016no—
627C2×C4—304no—
628C2×C4#679014yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—42no—
632C2×C3—202no—
633C2×C3#6596514yescomplemented
634C2×C3C22×D4×D511yescharacteristic
635C2×C3C2×#414711yescharacteristic
636C2×C3C2×D5×#4111yescharacteristic
637D3—108no—
638C5C2×#555111yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—44no—
643C22—102no—
644C22—102no—
645C22—102no—
646C22—158no—
647C22—204no—
648C22—304no—
649C22—304no—
650C22—3016no—
651C22#9200012yes—
652C22D5×#23512yes—
653C22C2×#679012yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—54no—
657C4—64no—
658C4—64no—
659C4—102no—
660C4—102no—
661C4—304no—
662C4C2×#679014yes—
663C3C2×#6596511yescharacteristic, complemented, Sylow
664C2—42no—
665C2—202no—
666C2—308no—
667C2#1175422214yesdirect product factor
668C2C2×#9200011yescharacteristic
669C2C2×D5×#23511yescharacteristic
670C2C22×#679011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×#6817C2semidirect
2. C22×#6773C2semidirect
3. C2×C5×#924C2semidirect
4. C2×C3×C4×C22⋊D5C2semidirect
5. C2×#91562C2semidirect
6. C2×#91533C2semidirect
7. C2×#91418C2semidirect
8. C2×#91404C2semidirect
9. C2×#91376C2semidirect
10. C2×#91360C2semidirect
11. #11754222C2direct (N × H)
12. C2×#91354C2semidirect
17. C2×#6817C22semidirect
28. C2×#6773C22semidirect
31. C5×#924C22semidirect
34. C3×C4×C22⋊D5C22semidirect
38. #91562C22semidirect
44. #91533C22semidirect
45. #91418C22semidirect
46. #91404C22semidirect
47. #91376C22semidirect
48. #91360C22semidirect
49. #91354C22semidirect
55. C2×C4×C22⋊D5D3semidirect
74. C2×D60D4semidirect
115. C2×#924D5semidirect
143. C4×C22⋊D5C2×D3semidirect
180. D60C2×D4semidirect
191. C2×C3×Dic5#41semidirect
227. #924C2×D5semidirect
315. C3×Dic5C2×#41semidirect
394. C2×Dic5#235semidirect
442. C2×C3×C5#547semidirect
511. Dic5C2×#235semidirect
559. C3×C5C2×#547semidirect
585. C2×C5#5551semidirect
633. C2×C3#65965semidirect
638. C5C2×#5551semidirect
663. C3C2×#65965semidirect
667. C2#11754222direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#68172
C22×#67732
C2×C5×#9242
C2×C3×C4×C22⋊D52
C2×#915622
C2×#915332
C2×#914182
C2×#914042
C2×#913762
C2×#913602
#117542222
C2×#913542
C2×#659653
C2×#55515