Finite Group Databasebeta

← C2×#11754309 #14482748

Subgroups — C2×#11754309 #14482748

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×C3×#709C211yesmaximal, characteristic, complemented
2C22×#6766C211yesmaximal, characteristic, complemented
3C2×C4×#1220C211yesmaximal, characteristic, complemented
4C2×C5×#924C211yesmaximal, characteristic, complemented
5C2×#91550C212yesmaximal, complemented
6C2×#91548C212yesmaximal, complemented
7C2×#91434C211yesmaximal, characteristic, complemented
8#11754309C2116yesmaximal, direct product factor
9C2×D5×Dic3⋊C4C212yesmaximal, complemented
10C2×#91390C211yesmaximal, characteristic, complemented
11C2×#91385C211yesmaximal, characteristic, complemented
12C2×#91348C212yesmaximal, complemented
13C2×#65965—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2211yescharacteristic
16C22×C4×D15C2211yescharacteristic
17C22×C5×Dic6C2211yescharacteristic
18C22×C3×C22⋊D5C2212yes—
19C2×C3×#709—28no—
20C2×C3×#709C2218yescomplemented
21C22×C3×D20C2211yescharacteristic
22C22×C3×C4×D5C2212yes—
23C22×C3×Dic10C2211yescharacteristic
24C22×#1202C2212yes—
25C22×D5×Dic3C2212yes—
26C22×D5×Dic3C2212yes—
27C2×#6766—28no—
28C2×#6766C2218yescomplemented
29C2×#6719C2211yescharacteristic
30C4×#1220C2218yescomplemented
31C2×#6714C2211yescharacteristic
32C2×#6712C2211yescharacteristic
33C2×C4×Dic15C2211yescharacteristic
34C2×C5×#217C2212yes—
35C2×C5×C4⋊Dic3C2211yescharacteristic
36C5×#924C2218yescomplemented
37C2×C5×Dic3⋊C4C2212yes—
38#91550C22116yescomplemented
39#91548C22116yescomplemented
40C2×Dic3⋊Dic5C2212yes—
41C2×#6669C2212yes—
42C2×#6669C2212yes—
43C2×#6667C2212yes—
44C2×#6665C2212yes—
45#91434C2218yescomplemented
46D5×Dic3⋊C4C22116yescomplemented
47#91390C2218yescomplemented
48#91385C2218yescomplemented
49#91348C22116yescomplemented
50C2×#5824—51nomaximal, Hall
51C22×#713—31no—
52C22×#709D311yescharacteristic, complemented
53C2×C5×C22⋊Q8—31no—
54C2×#4090—31no—
55C2×C4×C22⋊D5—31no—
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×D15C2311yescharacteristic
65C23×C3×D5C2312yes—
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C2×#1220—24no—
71C2×#1220C2314yes—
72C22×Dic15C2311yescharacteristic
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2311yescharacteristic
75C2×C4×D15—24no—
76C2×C4×D15C2314yes—
77C22×C5×Dic3C2312yes—
78C22×C5×Dic3C2312yes—
79C2×C5×Dic6—24no—
80C2×C5×Dic6C2314yes—
81C2×C3×C22⋊D5—28no—
82C2×C3×C22⋊D5C2318yes—
83C22×C3×Dic5C2312yes—
84C3×#709—232no—
85C2×C3×D20D418yescomplemented
86C2×C3×D20C2314yes—
87C2×C3×C4×D5—28no—
88C2×C3×C4×D5C2318yes—
89C2×C3×Dic10—24no—
90C2×C3×Dic10C2314yes—
91C2×#1202—28no—
92C2×#1202C2318yes—
93C2×D5×Dic3—28no—
94C2×D5×Dic3—28no—
95C2×D5×Dic3C2318yes—
96C2×D5×Dic3C2318yes—
97#6766—232no—
98#6719C2314yes—
99#6714C2314yes—
100#6712C2314yes—
101C4×Dic15C2314yes—
102C5×#217C2318yes—
103C5×C4⋊Dic3C2314yes—
104C5×Dic3⋊C4C2318yes—
105Dic3⋊Dic5C2318yes—
106#6669C2318yes—
107#6669C2318yes—
108#6667C2318yes—
109#6665C2318yes—
110C22×C3×#41—51no—
111C22×#237—51no—
112#5824—516no—
113C2×#946—51no—
114C2×#944—51no—
115C2×#939—52no—
116C2×#935—52no—
117C2×D4×Dic3—51no—
118C2×#929—52no—
119C2×C4×#67—51no—
120C2×#924D511yescharacteristic, complemented
121C22×Dic3⋊C4—52no—
122C22×C5×Q8—31no—
123C23×C4×C5C2×D311yescharacteristic
124C22×C22⋊D5—31no—
125C22×C22⋊D5C2×D312yes—
126C2×#713—38no—
127C2×#713—68no—
128C2×#709—28no—
129C2×#709C2×D318yescomplemented
130C22×D20—32no—
131C22×D20C2×D311yescharacteristic
132C22×C4×D5—32no—
133C22×C4×D5—32no—
134C22×C4×D5—31no—
135C22×C4×D5C2×D312yes—
136C22×Dic10C2×D311yescharacteristic
137C5×C22⋊Q8—38no—
138C2×C5×C4⋊C4—32no—
139C2×C5×C4⋊C4—31no—
140C2×C5×C22⋊C4—32no—
141C2×C22⋊Dic5—31no—
142#4090—38no—
143C4×C22⋊D5—38no—
144C2×#685—32no—
145C2×#685—31no—
146C2×#685—32no—
147C2×C4⋊Dic5—32no—
148C2×#683—31no—
149C2×#683—32no—
150C2×#683—32no—
151C2×C4×Dic5—31no—
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—22no—
165C22×D15—22no—
166C22×D15—22no—
167C22×D15C2412yes—
168C22×C3×D5—24no—
169C22×C3×D5—24no—
170C22×C3×D5C2×D418yes—
171C22×C3×D5C2414yes—
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—28no—
178C2×Dic15—22no—
179C2×Dic15—22no—
180C2×Dic15#4114yescomplemented
181C2×Dic15C2412yes—
182C2×Dic15C2412yes—
183C2×Dic15C2412yes—
184C4×D15—28no—
185C2×C5×Dic3—24no—
186C2×C5×Dic3—24no—
187C2×C5×Dic3C2414yes—
188C2×C5×Dic3C2414yes—
189C5×Dic6—28no—
190C3×C22⋊D5—216no—
191C2×C3×Dic5—24no—
192C2×C3×Dic5C2414yes—
193C3×D20C2×D4116yescomplemented
194C3×C4×D5—216no—
195C3×Dic10—28no—
196#1202—216no—
197D5×Dic3—216no—
198D5×Dic3—216no—
199C2×C3×#41—58no—
200C2×C3×#41—108no—
201C22×C3×Q8—51no—
202C22×C3×D4—52no—
203C22×C3×D4—51no—
204C23×C3×C4—52no—
205C23×C3×C4C2×D511yescharacteristic
206C22×#67—51no—
207C22×#67—52no—
208C23×Dic3—52no—
209C23×Dic3—52no—
210C2×#237—58no—
211C2×#237—108no—
212C22×C4×D3—51no—
213C22×Dic6C2×D511yescharacteristic
214C2×#217—51no—
215C2×#217—52no—
216C2×#217C2×D512yes—
217#946—58no—
218#944—58no—
219#939—516no—
220#935—516no—
221D4×Dic3—58no—
222#929—516no—
223C4×#67—58no—
224C2×(C2×D3)⋊C4—51no—
225C2×(C2×D3)⋊C4—52no—
226C2×C4⋊Dic3C2×D511yescharacteristic
227#924C2×D518yescomplemented
228C2×Dic3⋊C4—51no—
229C2×Dic3⋊C4—52no—
230C2×Dic3⋊C4—52no—
231C2×Dic3⋊C4—52no—
232C2×Dic3⋊C4—516no—
233C2×Dic3⋊C4C2×D512yes—
234C2×C4×Dic3—51no—
235C24×C5C22×D311yescharacteristic
236C23×D5—31no—
237C23×D5C22×D312yes—
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—28no—
247C2×C22⋊D5—34no—
248C2×C22⋊D5—64no—
249C2×C22⋊D5C22×D318yes—
250C22×Dic5—31no—
251C22×Dic5—31no—
252C22×Dic5—31no—
253C22×Dic5C22×D312yes—
254#713—632no—
255#709—232no—
256C2×D20—38no—
257C2×D20—68no—
258C2×D20#6718yescomplemented
259C2×D20C22×D314yes—
260C2×C4×D5—28no—
261C2×C4×D5—38no—
262C2×C4×D5—38no—
263C2×C4×D5—34no—
264C2×C4×D5—68no—
265C2×C4×D5—68no—
266C2×C4×D5—64no—
267C2×C4×D5C22×D318yes—
268C2×Dic10—24no—
269C2×Dic10C22×D314yes—
270C5×C4⋊C4—38no—
271C5×C4⋊C4—34no—
272C5×C22⋊C4—38no—
273C22⋊Dic5—34no—
274#685—38no—
275#685—34no—
276#685—38no—
277C4⋊Dic5—38no—
278#683—34no—
279#683—38no—
280#683—38no—
281C4×Dic5—34no—
282C22×#41—51no—
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—151no—
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—22no—
303C2×D15—22no—
304C2×D15—22no—
305C2×D15—44no—
306C2×C3×D5—216no—
307C2×C3×D5—24no—
308C2×C3×D5—24no—
309C2×C3×D5C22×D418yes—
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—22no—
313Dic15—22no—
314Dic15C2×#4114yescomplemented
315C3×Dic5—24no—
316C5×Dic3—24no—
317C5×Dic3—24no—
318C24×C3—52no—
319C24×C3C22×D511yescharacteristic
320C23×D3—51no—
321C3×#41—1032no—
322C2×C3×Q8—54no—
323C2×C3×Q8—104no—
324C2×C3×D4—58no—
325C2×C3×D4—58no—
326C2×C3×D4—54no—
327C2×C3×D4—108no—
328C22×C3×C4—24no—
329C22×C3×C4—52no—
330C22×C3×C4—58no—
331C22×C3×C4—108no—
332C22×C3×C4C22×D511yescharacteristic
333C22×C3×C4C22×D514yes—
334C22×C3×C4C22×D511yescharacteristic
335C2×#67—54no—
336C2×#67—58no—
337C2×#67—108no—
338C2×#67—104no—
339C22×Dic3—51no—
340C22×Dic3—51no—
341C22×Dic3—51no—
342C22×Dic3—58no—
343C22×Dic3—58no—
344C22×Dic3—108no—
345C22×Dic3—108no—
346C22×Dic3C22×D512yes—
347C22×Dic3C22×D512yes—
348#237—1032no—
349C2×C4×D3—54no—
350C2×C4×D3—104no—
351C2×Dic6—24no—
352C2×Dic6C22×D514yes—
353#217—54no—
354#217—58no—
355#217C22×D518yes—
356(C2×D3)⋊C4—54no—
357(C2×D3)⋊C4—58no—
358C4⋊Dic3C22×D514yes—
359Dic3⋊C4—54no—
360Dic3⋊C4—58no—
361Dic3⋊C4—58no—
362Dic3⋊C4—58no—
363Dic3⋊C4C22×D518yes—
364C4×Dic3—54no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5C23×D312yes—
369C23×C5C23×D311yescharacteristic
370C22×D5—24no—
371C22×D5—24no—
372C22×D5—32no—
373C22×D5—62no—
374C22×D5—62no—
375C22×D5—62no—
376C22×D5C2×#6718yes—
377C22×D5C23×D314yes—
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×C5C2×#6714yes—
386C2×C4×C5C23×D312yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—216no—
389C22⋊D5—68no—
390C2×Dic5—24no—
391C2×Dic5—34no—
392C2×Dic5—32no—
393C2×Dic5—32no—
394C2×Dic5—32no—
395C2×Dic5—62no—
396C2×Dic5—62no—
397C2×Dic5C23×D314yes—
398D20—616no—
399D20C2×#67116yescomplemented
400C4×D5—216no—
401C4×D5—616no—
402C4×D5—616no—
403C4×D5—68no—
404Dic10—28no—
405C2×#41—58no—
406C2×#41—108no—
407C2×#41—158no—
408C2×#41—308no—
409C22×Q8—31no—
410C22×Q8—51no—
411C22×D4—52no—
412C22×D4—51no—
413C22×D4—152no—
414C22×D4—151no—
415C23×C4—52no—
416C23×C4—152no—
417C23×C4—152no—
418C23×C4—151no—
419C23×C4D3×D511yescharacteristic
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—38no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—158no—
427C4×D4—158no—
428C2×C4⋊C4—32no—
429C2×C4⋊C4—31no—
430C2×C4⋊C4—1516no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—152no—
434C2×C4⋊C4—151no—
435C2×C22⋊C4—32no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—151no—
439C2×C22⋊C4—151no—
440C2×C42—151no—
441C2×C3×C5—42no—
442C2×C3×C5#54714yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—42no—
447C3×D5—28no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3—58no—
452C23×C3—54no—
453C23×C3—104no—
454C23×C3—104no—
455C23×C3C23×D512yes—
456C23×C3C23×D511yescharacteristic
457C22×D3—52no—
458C22×D3—102no—
459C22×D3—102no—
460C22×D3—102no—
461C3×Q8—108no—
462C3×D4—516no—
463C3×D4—1016no—
464C2×C3×C4—22no—
465C2×C3×C4—28no—
466C2×C3×C4—54no—
467C2×C3×C4—1016no—
468C2×C3×C4—104no—
469C2×C3×C4D4×D514yes—
470C2×C3×C4C23×D512yes—
471C2×C3×C4C23×D512yes—
472#67—1016no—
473#67—108no—
474C2×Dic3—24no—
475C2×Dic3—24no—
476C2×Dic3—54no—
477C2×Dic3—52no—
478C2×Dic3—52no—
479C2×Dic3—52no—
480C2×Dic3—1016no—
481C2×Dic3—1016no—
482C2×Dic3—102no—
483C2×Dic3—102no—
484C2×Dic3C23×D514yes—
485C2×Dic3C23×D514yes—
486C4×D3—108no—
487Dic6—28no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—44no—
492C22×C5D3×#4112yes—
493C22×C5#101012yes—
494C22×C5C22×#6712yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—24no—
497C2×D5—24no—
498C2×D5—216no—
499C2×D5—62no—
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—124no—
503C2×D5C22×#6718yes—
504C4×C5—22no—
505C4×C5—64no—
506C4×C5—64no—
507C4×C5C22×#6714yes—
508Dic5—24no—
509Dic5—34no—
510Dic5—62no—
511Dic5—62no—
512C24—52no—
513C24—151no—
514C24C2×D3×D511yescharacteristic
515#41—1032no—
516#41—3032no—
517C2×Q8—34no—
518C2×Q8—54no—
519C2×Q8—64no—
520C2×Q8—104no—
521C2×D4—58no—
522C2×D4—58no—
523C2×D4—54no—
524C2×D4—108no—
525C2×D4—158no—
526C2×D4—154no—
527C2×D4—308no—
528C2×D4—304no—
529C22×C4—24no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—52no—
533C22×C4—58no—
534C22×C4—108no—
535C22×C4—158no—
536C22×C4—158no—
537C22×C4—151no—
538C22×C4—151no—
539C22×C4—151no—
540C22×C4—154no—
541C22×C4—308no—
542C22×C4—308no—
543C22×C4—304no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—38no—
548C4⋊C4—34no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—154no—
553C22⋊C4—38no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—154no—
557C22⋊C4—154no—
558C42—154no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3—58no—
565C22×C3—1016no—
566C22×C3—104no—
567C22×C3—104no—
568C22×C3C2×D4×D512yes—
569C22×C3#414712yes—
570C22×C3D5×#4112yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—204no—
576C3×C4—22no—
577C3×C4—104no—
578C3×C4C2×D4×D514yes—
579Dic3—24no—
580Dic3—24no—
581Dic3—54no—
582Dic3—102no—
583Dic3—102no—
584C2×C5—42no—
585C2×C5#582414yescomplemented
586C2×C5C2×D3×#4111yescharacteristic
587C2×C5C2×#101011yescharacteristic
588C2×C5C23×#6711yescharacteristic
589D5—28no—
590D5—122no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—58no—
595C23—54no—
596C23—104no—
597C23—104no—
598C23—152no—
599C23—302no—
600C23—302no—
601C23—302no—
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—68no—
605Q8—108no—
606D4—516no—
607D4—1016no—
608D4—3016no—
609D4—308no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—34no—
613C2×C4—34no—
614C2×C4—54no—
615C2×C4—64no—
616C2×C4—64no—
617C2×C4—1016no—
618C2×C4—104no—
619C2×C4—154no—
620C2×C4—152no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—3016no—
624C2×C4—3016no—
625C2×C4—302no—
626C2×C4—302no—
627C2×C4—308no—
628C2×C4D5×#6714yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—42no—
632C2×C3—108no—
633C2×C3#6596514yescomplemented
634C2×C3C22×D4×D511yescharacteristic
635C2×C3C2×#414711yescharacteristic
636C2×C3C2×D5×#4111yescharacteristic
637D3—202no—
638C5C2×#582411yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—44no—
643C22—58no—
644C22—1016no—
645C22—104no—
646C22—104no—
647C22—302no—
648C22—302no—
649C22—302no—
650C22—604no—
651C22#9200012yes—
652C22#9201612yes—
653C22C2×D5×#6712yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—64no—
657C4—64no—
658C4—104no—
659C4—154no—
660C4—302no—
661C4—302no—
662C4C2×D5×#6714yes—
663C3C2×#6596511yescharacteristic, complemented, Sylow
664C2—42no—
665C2—108no—
666C2—602no—
667C2#1175430914yesdirect product factor
668C2C2×#9200011yescharacteristic
669C2C2×#9201611yescharacteristic
670C2C22×D5×#6711yescharacteristic
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×C3×#709C2semidirect
2. C22×#6766C2semidirect
3. C2×C4×#1220C2semidirect
4. C2×C5×#924C2semidirect
5. C2×#91550C2semidirect
6. C2×#91548C2semidirect
7. C2×#91434C2semidirect
8. #11754309C2direct (N × H)
9. C2×D5×Dic3⋊C4C2semidirect
10. C2×#91390C2semidirect
11. C2×#91385C2semidirect
12. C2×#91348C2semidirect
20. C2×C3×#709C22semidirect
28. C2×#6766C22semidirect
30. C4×#1220C22semidirect
36. C5×#924C22semidirect
38. #91550C22semidirect
39. #91548C22semidirect
45. #91434C22semidirect
46. D5×Dic3⋊C4C22semidirect
47. #91390C22semidirect
48. #91385C22semidirect
49. #91348C22semidirect
52. C22×#709D3semidirect
85. C2×C3×D20D4semidirect
120. C2×#924D5semidirect
129. C2×#709C2×D3semidirect
180. C2×Dic15#41semidirect
193. C3×D20C2×D4semidirect
227. #924C2×D5semidirect
258. C2×D20#67semidirect
314. Dic15C2×#41semidirect
399. D20C2×#67semidirect
442. C2×C3×C5#547semidirect
559. C3×C5C2×#547semidirect
585. C2×C5#5824semidirect
633. C2×C3#65965semidirect
638. C5C2×#5824semidirect
663. C3C2×#65965semidirect
667. C2#11754309direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#7092
C22×#67662
C2×C4×#12202
C2×C5×#9242
C2×#915502
C2×#915482
C2×#914342
#117543092
C2×D5×Dic3⋊C42
C2×#913902
C2×#913852
C2×#913482
C2×#659653
C2×#58245