Finite Group Databasebeta

← C2×#11753437 #14482844

Subgroups — C2×#11753437 #14482844

Order 1920.

3240 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×#6768C211yesmaximal, characteristic, complemented
2C22×D3×Dic10C211yesmaximal, characteristic, complemented
3C2×#91786C211yesmaximal, characteristic, complemented
4C2×C5×#895C211yesmaximal, characteristic, complemented
5C2×C3×#4033C211yesmaximal, characteristic, complemented
6C2×C4×#1203C211yesmaximal, characteristic, complemented
7C2×#91417C212yesmaximal, complemented
8C2×#91416C212yesmaximal, complemented
9C2×Dic5×D12C212yesmaximal, complemented
10C2×#91373C211yesmaximal, characteristic, complemented
11C2×#91350C212yesmaximal, complemented
12#11753437C2116yesmaximal, direct product factor
13C2×#65932—31nomaximal, Hall
14C22×C4×D15C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C5×D12C2211yescharacteristic
17C22×C5×D12C2212yes—
18C22×C4×C5×D3C2211yescharacteristic
19C22×C3×Dic10C2211yescharacteristic
20C22×#1204C2212yes—
21C22×#1203C2211yescharacteristic
22C22×#1203C2212yes—
23C22×D3×Dic5C2212yes—
24C22×D3×Dic5C2212yes—
25C2×#6768—28no—
26C2×#6768C2218yescomplemented
27C2×D3×Dic10—28no—
28C2×D3×Dic10C2218yescomplemented
29C2×C3×C5×C4⋊C4C2211yescharacteristic
30C2×#6714C2212yes—
31C2×C4⋊Dic15C2212yes—
32#91786C2218yescomplemented
33C2×C5×(C2×D3)⋊C4C2212yes—
34C5×#895C2218yescomplemented
35C2×C3×#683C2212yes—
36C2×C3×C4×Dic5C2211yescharacteristic
37C2×C3×C4×Dic5C2212yes—
38C3×#4033C2218yescomplemented
39C2×#6668C2211yescharacteristic
40C2×#6667C2211yescharacteristic
41C2×(C2×D3)⋊Dic5C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43C2×(C2×D3)⋊Dic5C2211yescharacteristic
44C4×#1203C2218yescomplemented
45#91417C22116yescomplemented
46#91416C22116yescomplemented
47Dic5×D12C22116yescomplemented
48#91373C2218yescomplemented
49#91350C22116yescomplemented
50C2×#5576—51nomaximal, Hall
51C22×#711—31no—
52C23×Dic10—31no—
53C2×C5×#121—31no—
54C2×#4085—32no—
55C2×#4082—31no—
56C2×D4×Dic5—32no—
57C2×C4×C22⋊D5—31no—
58#65932—316no—
59C2×#4043—31no—
60C2×#4033D311yescharacteristic, complemented
61C2×#4031—32no—
62C2×#4024—32no—
63C23×D15C2311yescharacteristic
64C23×C5×D3C2312yes—
65C23×C5×D3C2311yescharacteristic
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2311yescharacteristic
68C22×Dic15C2311yescharacteristic
69C22×Dic15C2312yes—
70C2×C4×D15—24no—
71C2×C4×D15C2314yes—
72C2×Dic30—24no—
73C2×Dic30C2314yes—
74C22×C5×Dic3C2311yescharacteristic
75C2×C5×D12—28no—
76C2×C5×D12—24no—
77C2×C5×D12C2318yes—
78C2×C5×D12C2314yes—
79C2×C4×C5×D3—24no—
80C2×C4×C5×D3C2314yes—
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2311yescharacteristic
83C22×C3×Dic5C2312yes—
84C2×C3×Dic10D418yescomplemented
85C2×C3×Dic10C2314yes—
86C2×#1204—28no—
87C2×#1204C2318yes—
88C2×#1203—24no—
89C2×#1203—28no—
90C2×#1203C2314yes—
91C2×#1203C2318yes—
92C2×D3×Dic5—28no—
93C2×D3×Dic5—28no—
94C2×D3×Dic5C2318yes—
95C2×D3×Dic5C2318yes—
96#6768—232no—
97D3×Dic10—232no—
98C3×C5×C4⋊C4C2314yes—
99#6714C2318yes—
100C4⋊Dic15C2318yes—
101C5×(C2×D3)⋊C4C2318yes—
102C3×#683C2318yes—
103C3×C4×Dic5C2318yes—
104C3×C4×Dic5C2314yes—
105#6668C2314yes—
106#6667C2314yes—
107(C2×D3)⋊Dic5C2314yes—
108(C2×D3)⋊Dic5C2318yes—
109(C2×D3)⋊Dic5C2318yes—
110C22×#239—51no—
111C22×D3×Q8—51no—
112C2×C3×C4×Q8—51no—
113#5576—516no—
114C2×#897—51no—
115C2×#897—52no—
116C2×#895—52no—
117C2×#895D511yescharacteristic, complemented
118C2×#875—51no—
119C2×#875—52no—
120C2×C4×D12—52no—
121C2×C4×D12—51no—
122C22×C5×D4—32no—
123C22×C5×D4—31no—
124C23×C4×C5—31no—
125C22×C22⋊D5—32no—
126C22×C22⋊D5—31no—
127C23×Dic5—32no—
128C23×Dic5—32no—
129C2×#711—38no—
130C2×#711—68no—
131C22×C4×D5—31no—
132C22×Dic10—31no—
133C22×Dic10—32no—
134C22×Dic10—38no—
135C22×Dic10—68no—
136C22×Dic10C2×D311yescharacteristic
137C5×#121—38no—
138C2×C5×C4⋊C4C2×D311yescharacteristic
139C2×C5×C22⋊C4—32no—
140C2×C22⋊Dic5—32no—
141C2×C22⋊Dic5—32no—
142C2×C22⋊Dic5—31no—
143#4085—316no—
144#4082—38no—
145D4×Dic5—316no—
146C4×C22⋊D5—38no—
147C2×#685—32no—
148C2×#685—31no—
149C2×C4⋊Dic5—32no—
150C2×#683—31no—
151C2×#683C2×D312yes—
152C2×C4×Dic5C2×D312yes—
153C2×C4×Dic5C2×D311yescharacteristic
154#4043—38no—
155#4033C2×D318yescomplemented
156#4031—316no—
157#4024—316no—
158C2×#548—151noSylow
159C23×C3×C5C2411yescharacteristic
160C22×D15—22no—
161C22×D15—22no—
162C22×D15—22no—
163C22×D15C2412yes—
164C22×C5×D3—22no—
165C22×C5×D3—22no—
166C22×C5×D3—24no—
167C22×C5×D3—24no—
168C22×C5×D3—24no—
169C22×C5×D3#4114yescomplemented
170C22×C5×D3C2414yes—
171C22×C5×D3C2412yes—
172C2×C3×C4×C5—24no—
173C2×C3×C4×C5C2×D414yes—
174C2×C3×C4×C5C2414yes—
175C2×C3×C4×C5C2412yes—
176C2×Dic15—22no—
177C2×Dic15—24no—
178C2×Dic15C2414yes—
179C2×Dic15C2412yes—
180C4×D15—28no—
181Dic30—28no—
182C2×C5×Dic3—22no—
183C2×C5×Dic3C2412yes—
184C5×D12—216no—
185C5×D12—28no—
186C4×C5×D3—28no—
187C2×C3×Dic5—22no—
188C2×C3×Dic5—22no—
189C2×C3×Dic5C2×D418yes—
190C2×C3×Dic5C2412yes—
191C2×C3×Dic5C2412yes—
192C2×C3×Dic5C2414yes—
193C3×Dic10C2×D4116yescomplemented
194#1204—216no—
195#1203—28no—
196#1203—216no—
197D3×Dic5—216no—
198D3×Dic5—216no—
199C22×C3×Q8—51no—
200C2×#239—58no—
201C2×#239—108no—
202C2×D3×Q8—58no—
203C2×D3×Q8—108no—
204C22×D12—52no—
205C22×D12—51no—
206C22×D12C2×D511yescharacteristic
207C22×D12C2×D512yes—
208C22×C4×D3—52no—
209C22×C4×D3—52no—
210C22×C4×D3—51no—
211C22×C4×D3C2×D511yescharacteristic
212C22×Dic6—51no—
213C22×Dic6—52no—
214C3×C4×Q8—58no—
215C2×C3×C4⋊C4—52no—
216C2×C3×C4⋊C4C2×D511yescharacteristic
217C2×C3×C42—52no—
218C2×C3×C42—51no—
219C2×(C2×D3)⋊C4—51no—
220C2×(C2×D3)⋊C4—52no—
221C2×(C2×D3)⋊C4—52no—
222C2×(C2×D3)⋊C4—52no—
223C2×(C2×D3)⋊C4—51no—
224C2×(C2×D3)⋊C4C2×D512yes—
225C2×C4⋊Dic3—52no—
226C2×C4⋊Dic3—51no—
227#897—58no—
228#897—516no—
229#895—516no—
230#895C2×D518yescomplemented
231#875—58no—
232#875—516no—
233C4×D12—516no—
234C4×D12—58no—
235C24×C5—31no—
236C24×C5—32no—
237C23×D5—31no—
238C2×C5×D4—34no—
239C2×C5×D4—38no—
240C2×C5×D4—68no—
241C2×C5×D4—64no—
242C22×C4×C5—31no—
243C22×C4×C5—34no—
244C22×C4×C5—64no—
245C22×C4×C5C22×D312yes—
246C22×C4×C5C22×D311yescharacteristic
247C2×C22⋊D5—38no—
248C2×C22⋊D5—34no—
249C2×C22⋊D5—64no—
250C2×C22⋊D5—68no—
251C22×Dic5—32no—
252C22×Dic5—31no—
253C22×Dic5—38no—
254C22×Dic5—38no—
255C22×Dic5—68no—
256C22×Dic5—68no—
257C22×Dic5C22×D311yescharacteristic
258C22×Dic5C22×D311yescharacteristic
259C22×Dic5C22×D312yes—
260#711—632no—
261C2×C4×D5—34no—
262C2×C4×D5—64no—
263C2×Dic10—34no—
264C2×Dic10—38no—
265C2×Dic10—64no—
266C2×Dic10—68no—
267C2×Dic10—632no—
268C2×Dic10D1218yescomplemented
269C2×Dic10C22×D314yes—
270C5×C4⋊C4C22×D314yes—
271C5×C22⋊C4—38no—
272C22⋊Dic5—38no—
273C22⋊Dic5—38no—
274C22⋊Dic5—34no—
275#685—38no—
276#685—34no—
277C4⋊Dic5—38no—
278#683—34no—
279#683C22×D318yes—
280C4×Dic5C22×D318yes—
281C4×Dic5C22×D314yes—
282C22×#41—151no—
283C23×Q8—151no—
284#548—1516no—
285C2×#124—152no—
286C2×#124—151no—
287C2×C22⋊Q8—152no—
288C2×C22⋊Q8—151no—
289C2×#121—31no—
290C2×#121—152no—
291C2×C4×Q8—51no—
292C2×C4×D4—151no—
293C2×C4×D4—152no—
294C22×C3×C5C22×D412yes—
295C22×C3×C5C2×#4112yes—
296C22×C3×C52−1+412yes—
297C22×C3×C5C2511yescharacteristic
298C2×D15—22no—
299C2×D15—22no—
300C2×D15—22no—
301C2×D15—44no—
302C2×C5×D3—28no—
303C2×C5×D3—22no—
304C2×C5×D3—22no—
305C2×C5×D3—24no—
306C2×C5×D3—24no—
307C2×C5×D3—24no—
308C2×C5×D3—48no—
309C2×C5×D3C2×#4114yescomplemented
310C3×C4×C5—24no—
311C3×C4×C5C22×D414yes—
312Dic15—22no—
313Dic15—24no—
314C3×Dic5—22no—
315C3×Dic5—22no—
316C3×Dic5C22×D418yes—
317C5×Dic3—22no—
318C23×D3—51no—
319C23×D3C22×D512yes—
320C23×D3C22×D511yescharacteristic
321C2×C3×Q8—58no—
322C2×C3×Q8—54no—
323C22×C3×C4—52no—
324C22×C3×C4—51no—
325C22×C3×C4—51no—
326C22×C3×C4C22×D512yes—
327C22×C3×C4C22×D511yescharacteristic
328C22×Dic3—51no—
329C22×Dic3—52no—
330C22×Dic3C22×D511yescharacteristic
331#239—1032no—
332D3×Q8—1032no—
333C2×D12—28no—
334C2×D12—24no—
335C2×D12—54no—
336C2×D12—58no—
337C2×D12—108no—
338C2×D12—104no—
339C2×D12C22×D518yes—
340C2×D12C22×D514yes—
341C2×C4×D3—24no—
342C2×C4×D3—58no—
343C2×C4×D3—58no—
344C2×C4×D3—54no—
345C2×C4×D3—108no—
346C2×C4×D3—108no—
347C2×C4×D3—104no—
348C2×C4×D3C22×D514yes—
349C2×Dic6—54no—
350C2×Dic6—58no—
351C2×Dic6—108no—
352C2×Dic6—104no—
353C3×C4⋊C4—58no—
354C3×C4⋊C4C22×D514yes—
355C3×C42—58no—
356C3×C42—54no—
357(C2×D3)⋊C4—54no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4—58no—
360(C2×D3)⋊C4—58no—
361(C2×D3)⋊C4—54no—
362(C2×D3)⋊C4C22×D518yes—
363C4⋊Dic3—58no—
364C4⋊Dic3—54no—
365C23×C5—34no—
366C23×C5—32no—
367C23×C5—34no—
368C23×C5—62no—
369C23×C5—62no—
370C23×C5—64no—
371C23×C5—64no—
372C23×C5—64no—
373C23×C5C23×D311yescharacteristic
374C22×D5—32no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5—62no—
378C5×D4—616no—
379C5×D4—68no—
380C2×C4×C5—24no—
381C2×C4×C5—32no—
382C2×C4×C5—62no—
383C2×C4×C5—68no—
384C2×C4×C5C2×D1214yes—
385C2×C4×C5C23×D314yes—
386C2×C4×C5C23×D312yes—
387C22⋊D5—68no—
388C22⋊D5—616no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—32no—
392C2×Dic5—34no—
393C2×Dic5—64no—
394C2×Dic5—62no—
395C2×Dic5—616no—
396C2×Dic5—616no—
397C2×Dic5C2×D1218yes—
398C2×Dic5C23×D312yes—
399C2×Dic5C23×D312yes—
400C2×Dic5C23×D314yes—
401C4×D5—68no—
402Dic10—68no—
403Dic10—616no—
404Dic10C2×D12116yescomplemented
405C2×#41—158no—
406C2×#41—308no—
407C22×Q8—51no—
408C22×Q8—152no—
409C22×Q8—158no—
410C22×Q8—151no—
411C22×Q8—308no—
412C22×D4—32no—
413C22×D4—31no—
414C22×D4—151no—
415C22×D4—152no—
416C23×C4—31no—
417C23×C4—152no—
418C23×C4—152no—
419C23×C4—151no—
420#124—1516no—
421#124—158no—
422C22⋊Q8—1516no—
423C22⋊Q8—158no—
424#121—38no—
425#121—1516no—
426C4×Q8—58no—
427C4×D4—158no—
428C4×D4—1516no—
429C2×C4⋊C4—52no—
430C2×C4⋊C4—151no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4D3×D511yescharacteristic
433C2×C22⋊C4—32no—
434C2×C22⋊C4—151no—
435C2×C22⋊C4—151no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C42—52no—
440C2×C42—51no—
441C2×C3×C5#54814yescomplemented
442C2×C3×C5C23×D411yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445D15—42no—
446C5×D3—24no—
447C5×D3—44no—
448C23×C3C23×D511yescharacteristic
449C22×D3—22no—
450C22×D3—22no—
451C22×D3—24no—
452C22×D3—24no—
453C22×D3—24no—
454C22×D3—52no—
455C22×D3—102no—
456C22×D3—102no—
457C22×D3—102no—
458C22×D3#71114yescomplemented
459C22×D3C23×D514yes—
460C22×D3C23×D512yes—
461C3×Q8—516no—
462C2×C3×C4—24no—
463C2×C3×C4—58no—
464C2×C3×C4—54no—
465C2×C3×C4—52no—
466C2×C3×C4—52no—
467C2×C3×C4—102no—
468C2×C3×C4—102no—
469C2×C3×C4D4×D514yes—
470C2×C3×C4C23×D514yes—
471C2×C3×C4C23×D512yes—
472C2×Dic3—22no—
473C2×Dic3—52no—
474C2×Dic3—54no—
475C2×Dic3—104no—
476C2×Dic3—102no—
477C2×Dic3C23×D512yes—
478D12—216no—
479D12—28no—
480D12—1016no—
481D12—108no—
482C4×D3—28no—
483C4×D3—1016no—
484C4×D3—1016no—
485C4×D3—108no—
486Dic6—1016no—
487Dic6—108no—
488C22×C5—34no—
489C22×C5—62no—
490C22×C5—62no—
491C22×C5—68no—
492C22×C5—64no—
493C22×C5—64no—
494C22×C5—64no—
495C22×C5—128no—
496C22×C5C22×D1212yes—
497C22×C5#100712yes—
498C22×C5D3×#4112yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—24no—
505C4×C5—62no—
506C4×C5C22×D1214yes—
507Dic5—22no—
508Dic5—22no—
509Dic5—64no—
510Dic5—62no—
511Dic5C22×D1218yes—
512C24—31no—
513C24—32no—
514C24—151no—
515#41—3032no—
516C2×Q8—58no—
517C2×Q8—54no—
518C2×Q8—158no—
519C2×Q8—154no—
520C2×Q8—308no—
521C2×Q8—3032no—
522C2×Q8—304no—
523C2×D4—38no—
524C2×D4—34no—
525C2×D4—68no—
526C2×D4—64no—
527C2×D4—154no—
528C2×D4—158no—
529C2×D4—308no—
530C2×D4—304no—
531C22×C4—31no—
532C22×C4—34no—
533C22×C4—52no—
534C22×C4—51no—
535C22×C4—51no—
536C22×C4—64no—
537C22×C4—158no—
538C22×C4—158no—
539C22×C4—152no—
540C22×C4—151no—
541C22×C4—154no—
542C22×C4—308no—
543C22×C4—308no—
544C22×C4—304no—
545C22×C4C2×D3×D512yes—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—58no—
548C4⋊C4—154no—
549C4⋊C4—158no—
550C4⋊C4C2×D3×D514yes—
551C22⋊C4—38no—
552C22⋊C4—154no—
553C22⋊C4—154no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C42—58no—
558C42—54no—
559C3×C5C2×#54811yescharacteristic, complemented, Hall
560C22×C3C2×D4×D512yes—
561C22×C3C2×#71112yes—
562C22×C3#415012yes—
563C22×C3C24×D511yescharacteristic
564C2×D3—28no—
565C2×D3—22no—
566C2×D3—22no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—24no—
570C2×D3—48no—
571C2×D3—102no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—204no—
575C2×D3C2×#71114yescomplemented
576C3×C4—24no—
577C3×C4—58no—
578C3×C4—102no—
579C3×C4—102no—
580C3×C4C2×D4×D514yes—
581Dic3—22no—
582Dic3—104no—
583Dic3—102no—
584C2×C5—64no—
585C2×C5—124no—
586C2×C5#557614yescomplemented
587C2×C5C23×D1211yescharacteristic
588C2×C5C2×#100711yescharacteristic
589C2×C5C2×D3×#4111yescharacteristic
590D5—122no—
591C23—34no—
592C23—32no—
593C23—34no—
594C23—62no—
595C23—62no—
596C23—64no—
597C23—64no—
598C23—64no—
599C23—152no—
600C23—302no—
601C23—302no—
602C23—302no—
603C23C22×D3×D511yescharacteristic
604Q8—516no—
605Q8—3016no—
606Q8—308no—
607D4—616no—
608D4—68no—
609D4—3016no—
610D4—308no—
611C2×C4—24no—
612C2×C4—32no—
613C2×C4—58no—
614C2×C4—54no—
615C2×C4—52no—
616C2×C4—52no—
617C2×C4—62no—
618C2×C4—68no—
619C2×C4—102no—
620C2×C4—102no—
621C2×C4—154no—
622C2×C4—152no—
623C2×C4—3016no—
624C2×C4—3016no—
625C2×C4—302no—
626C2×C4—304no—
627C2×C4—308no—
628C2×C4D5×D1214yes—
629C2×C4C22×D3×D514yes—
630C2×C4C22×D3×D512yes—
631C2×C3#6593214yescomplemented
632C2×C3C22×D4×D511yescharacteristic
633C2×C3C22×#71111yescharacteristic
634C2×C3C2×#415011yescharacteristic
635D3—24no—
636D3—44no—
637D3—202no—
638C5C2×#557611yescharacteristic, complemented, Sylow
639C22—34no—
640C22—62no—
641C22—68no—
642C22—62no—
643C22—64no—
644C22—64no—
645C22—64no—
646C22—128no—
647C22—302no—
648C22—302no—
649C22—302no—
650C22—604no—
651C22C2×D5×D1212yes—
652C22D3×#71112yes—
653C22#9203012yes—
654C22C23×D3×D511yescharacteristic
655C4—24no—
656C4—58no—
657C4—62no—
658C4—102no—
659C4—102no—
660C4—302no—
661C4—304no—
662C4C2×D5×D1214yes—
663C3C2×#6593211yescharacteristic, complemented, Sylow
664C2—64no—
665C2—124no—
666C2—602no—
667C2#1175343714yesdirect product factor
668C2C22×D5×D1211yescharacteristic
669C2C2×D3×#71111yescharacteristic
670C2C2×#9203011yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×#548
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6768C2semidirect
2. C22×D3×Dic10C2semidirect
3. C2×#91786C2semidirect
4. C2×C5×#895C2semidirect
5. C2×C3×#4033C2semidirect
6. C2×C4×#1203C2semidirect
7. C2×#91417C2semidirect
8. C2×#91416C2semidirect
9. C2×Dic5×D12C2semidirect
10. C2×#91373C2semidirect
11. C2×#91350C2semidirect
12. #11753437C2direct (N × H)
26. C2×#6768C22semidirect
28. C2×D3×Dic10C22semidirect
32. #91786C22semidirect
34. C5×#895C22semidirect
38. C3×#4033C22semidirect
44. C4×#1203C22semidirect
45. #91417C22semidirect
46. #91416C22semidirect
47. Dic5×D12C22semidirect
48. #91373C22semidirect
49. #91350C22semidirect
60. C2×#4033D3semidirect
84. C2×C3×Dic10D4semidirect
117. C2×#895D5semidirect
155. #4033C2×D3semidirect
169. C22×C5×D3#41semidirect
193. C3×Dic10C2×D4semidirect
230. #895C2×D5semidirect
268. C2×Dic10D12semidirect
309. C2×C5×D3C2×#41semidirect
404. Dic10C2×D12semidirect
441. C2×C3×C5#548semidirect
458. C22×D3#711semidirect
559. C3×C5C2×#548semidirect
575. C2×D3C2×#711semidirect
586. C2×C5#5576semidirect
631. C2×C3#65932semidirect
638. C5C2×#5576semidirect
663. C3C2×#65932semidirect
667. C2#11753437direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67682
C22×D3×Dic102
C2×#917862
C2×C5×#8952
C2×C3×#40332
C2×C4×#12032
C2×#914172
C2×#914162
C2×Dic5×D122
C2×#913732
C2×#913502
#117534372
C2×#659323
C2×#55765