Finite Group Databasebeta

← C2×#11756266 #14482681

Subgroups — C2×#11756266 #14482681

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6817C212yesmaximal, complemented
2C22×C3×C5×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×#91819C211yesmaximal, characteristic, complemented
4C2×#91818C212yesmaximal, complemented
5C2×C4×#1220C211yesmaximal, characteristic, complemented
6C2×#91785C212yesmaximal, complemented
7#11756266C2116yesmaximal, direct product factor
8C2×#91784C211yesmaximal, characteristic, complemented
9C2×#91783C212yesmaximal, complemented
10C2×#91782C211yesmaximal, characteristic, complemented
11C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
12C2×#91777C211yesmaximal, characteristic, complemented
13C2×#65841—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×C4×C5C2212yes—
16C22×#1220C2212yes—
17C22×#1220C2211yescharacteristic
18C2×#6817—216no—
19C2×#6817C22116yescomplemented
20C22×D60C2211yescharacteristic
21C22×D60C2212yes—
22C22×C4×D15C2211yescharacteristic
23C22×C4×D15C2212yes—
24C22×C4×D15C2212yes—
25C22×Dic30C2212yes—
26C2×C3×C5×C4⋊C4C2211yescharacteristic
27C2×C3×C5×C4⋊C4C2211yescharacteristic
28C2×C3×C5×C4⋊C4C2212yes—
29C2×C3×C5×C4⋊C4C2218yescomplemented
30C2×#6719C2211yescharacteristic
31#91819C2218yescomplemented
32#91818C22116yescomplemented
33C4×#1220C2218yescomplemented
34C2×#6714C2211yescharacteristic
35C2×#6714C2212yes—
36C2×#6714C2212yes—
37C2×#6714C2212yes—
38C2×C4⋊Dic15C2211yescharacteristic
39C2×#6712C2211yescharacteristic
40C2×#6712C2212yes—
41C2×#6712C2212yes—
42C2×C4×Dic15C2211yescharacteristic
43#91785C22116yescomplemented
44#91784C2218yescomplemented
45#91783C22116yescomplemented
46#91782C2218yescomplemented
47C4⋊C4×D15C2218yescomplemented
48#91777C2218yescomplemented
49C2×#5507—51nomaximal, Hall
50C22×#709—32no—
51C22×C5×C4⋊C4D311yescharacteristic, complemented
52C2×#4076—31no—
53C2×#4075—32no—
54C2×C4×C22⋊D5—31no—
55C2×#4042—32no—
56#65841—316no—
57C2×#4041—31no—
58C2×#4040—32no—
59C2×#4039—31no—
60C2×D5×C4⋊C4—31no—
61C2×#4034—31no—
62C24×C3×C5C2311yescharacteristic
63C23×D15C2312yes—
64C23×D15C2311yescharacteristic
65C22×C3×C4×C5—28no—
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2312yes—
69C22×C3×C4×C5C2312yes—
70C22×C3×C4×C5C2314yes—
71C22×C3×C4×C5C2318yes—
72C22×C3×C4×C5C2311yescharacteristic
73C2×#1220—28no—
74C2×#1220D418yescomplemented
75C2×#1220C2318yes—
76C2×#1220C2314yes—
77C22×Dic15C2311yescharacteristic
78C22×Dic15C2311yescharacteristic
79C22×Dic15C2312yes—
80C22×Dic15C2311yescharacteristic
81#6817—264no—
82C2×D60—28no—
83C2×D60—24no—
84C2×D60C2314yes—
85C2×D60C2318yes—
86C2×C4×D15—28no—
87C2×C4×D15—24no—
88C2×C4×D15—28no—
89C2×C4×D15C2318yes—
90C2×C4×D15C2314yes—
91C2×C4×D15C2318yes—
92C2×Dic30—28no—
93C2×Dic30C2318yes—
94C3×C5×C4⋊C4C2314yes—
95C3×C5×C4⋊C4C2314yes—
96C3×C5×C4⋊C4C2318yes—
97#6719C2314yes—
98#6714C2318yes—
99#6714C2314yes—
100#6714C2318yes—
101#6714C2318yes—
102C4⋊Dic15C2314yes—
103#6712C2318yes—
104#6712C2318yes—
105#6712C2314yes—
106C4×Dic15C2314yes—
107C22×#235—52no—
108C22×C3×C4⋊C4D511yescharacteristic, complemented
109C2×#930—51no—
110C2×#929—52no—
111C2×C4×#67—51no—
112C2×#896—52no—
113#5507—516no—
114C2×#895—51no—
115C2×#894—52no—
116C2×#893—51no—
117C2×D3×C4⋊C4—51no—
118C2×#888—51no—
119C23×C4×C5C2×D311yescharacteristic
120C23×C4×C5C2×D312yes—
121C22×C22⋊D5—31no—
122C22×C22⋊D5—32no—
123C2×#709—316no—
124C2×#709—616no—
125C22×D20—31no—
126C22×D20—32no—
127C22×C4×D5—32no—
128C22×C4×D5—31no—
129C22×C4×D5—32no—
130C22×Dic10—32no—
131C2×C5×C4⋊C4C2×D311yescharacteristic
132C2×C5×C4⋊C4C2×D311yescharacteristic
133C2×C5×C4⋊C4C2×D312yes—
134C2×C5×C4⋊C4C2×D318yescomplemented
135C2×C22⋊Dic5—31no—
136#4076—38no—
137#4075—316no—
138C4×C22⋊D5—38no—
139C2×#685—32no—
140C2×#685—31no—
141C2×#685—32no—
142C2×#685—32no—
143C2×C4⋊Dic5—31no—
144C2×#683—32no—
145C2×#683—32no—
146C2×#683—31no—
147C2×C4×Dic5—31no—
148#4042—316no—
149#4041—38no—
150#4040—316no—
151#4039—38no—
152D5×C4⋊C4—38no—
153#4034—38no—
154C2×#547—151noSylow
155C23×C3×C5—22no—
156C23×C3×C5—22no—
157C23×C3×C5C2×D414yes—
158C23×C3×C5C2412yes—
159C23×C3×C5C2411yescharacteristic
160C22×D15—22no—
161C22×D15—22no—
162C22×D15—24no—
163C22×D15—24no—
164C22×D15—24no—
165C22×D15C2×D414yes—
166C22×D15C2414yes—
167C22×D15C2412yes—
168C2×C3×C4×C5—24no—
169C2×C3×C4×C5—24no—
170C2×C3×C4×C5—216no—
171C2×C3×C4×C5—22no—
172C2×C3×C4×C5—28no—
173C2×C3×C4×C5#4114yescomplemented
174C2×C3×C4×C5C2412yes—
175C2×C3×C4×C5C2414yes—
176C2×C3×C4×C5C2414yes—
177C2×C3×C4×C5C2412yes—
178#1220—216no—
179#1220C2×D4116yescomplemented
180C2×Dic15—24no—
181C2×Dic15—22no—
182C2×Dic15—22no—
183C2×Dic15C2×D414yes—
184C2×Dic15C2412yes—
185C2×Dic15C2412yes—
186C2×Dic15C2414yes—
187C2×Dic15C2412yes—
188D60—216no—
189D60—28no—
190C4×D15—216no—
191C4×D15—28no—
192C4×D15—216no—
193Dic30—216no—
194C23×C3×C4C2×D512yes—
195C23×C3×C4C2×D511yescharacteristic
196C22×#67—51no—
197C22×#67—52no—
198C2×#235—516no—
199C2×#235—1016no—
200C22×D12—52no—
201C22×D12—51no—
202C22×C4×D3—52no—
203C22×C4×D3—52no—
204C22×C4×D3—51no—
205C22×Dic6—52no—
206C2×C3×C4⋊C4C2×D511yescharacteristic
207C2×C3×C4⋊C4C2×D511yescharacteristic
208C2×C3×C4⋊C4C2×D512yes—
209C2×C3×C4⋊C4C2×D518yescomplemented
210C2×#217—51no—
211#930—58no—
212#929—516no—
213C4×#67—58no—
214C2×(C2×D3)⋊C4—52no—
215C2×(C2×D3)⋊C4—51no—
216C2×(C2×D3)⋊C4—52no—
217C2×(C2×D3)⋊C4—52no—
218C2×C4⋊Dic3—51no—
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—52no—
221C2×Dic3⋊C4—51no—
222C2×C4×Dic3—51no—
223#896—516no—
224#895—58no—
225#894—516no—
226#893—58no—
227D3×C4⋊C4—58no—
228#888—58no—
229C24×C5C22×D311yescharacteristic
230C23×D5—31no—
231C23×D5—32no—
232C22×C4×C5—28no—
233C22×C4×C5—24no—
234C22×C4×C5C22×D312yes—
235C22×C4×C5C22×D312yes—
236C22×C4×C5C22×D311yescharacteristic
237C22×C4×C5C22×D318yes—
238C22×C4×C5C22×D314yes—
239C22×C4×C5C22×D311yescharacteristic
240C2×C22⋊D5—38no—
241C2×C22⋊D5—34no—
242C2×C22⋊D5—38no—
243C2×C22⋊D5—68no—
244C22×Dic5—31no—
245C22×Dic5—31no—
246C22×Dic5—31no—
247C22×Dic5—32no—
248#709—664no—
249C2×D20—38no—
250C2×D20—34no—
251C2×D20—68no—
252C2×D20—64no—
253C2×C4×D5—38no—
254C2×C4×D5—38no—
255C2×C4×D5—34no—
256C2×C4×D5—68no—
257C2×C4×D5—68no—
258C2×C4×D5—64no—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C5×C4⋊C4C22×D314yes—
262C5×C4⋊C4C22×D314yes—
263C5×C4⋊C4C22×D318yes—
264C22⋊Dic5—34no—
265#685—38no—
266#685—34no—
267#685—38no—
268#685—38no—
269C4⋊Dic5—34no—
270#683—38no—
271#683—38no—
272#683—34no—
273C4×Dic5—34no—
274C22×#41—152no—
275#547—1516no—
276C2×C4⋊Q8—151no—
277C2×#123—152no—
278C2×#123—152no—
279C2×C22⋊Q8—152no—
280C2×#121—151no—
281C2×#121—151no—
282C2×C4×D4—151no—
283C2×C4×D4—151no—
284C22×C4⋊C4—151no—
285C22×C4⋊C4D1511yescharacteristic, complemented
286C22×C3×C5—28no—
287C22×C3×C5—22no—
288C22×C3×C5—22no—
289C22×C3×C5C22×D414yes—
290C22×C3×C5C22×D412yes—
291C22×C3×C5C2×#4112yes—
292C22×C3×C52−1+412yes—
293C22×C3×C5C2511yescharacteristic
294C2×D15—28no—
295C2×D15—22no—
296C2×D15—22no—
297C2×D15—24no—
298C2×D15—24no—
299C2×D15—24no—
300C2×D15—48no—
301C2×D15C22×D414yes—
302C3×C4×C5—24no—
303C3×C4×C5—24no—
304C3×C4×C5—22no—
305C3×C4×C5C2×#4114yescomplemented
306Dic15—24no—
307Dic15—22no—
308Dic15—22no—
309Dic15C22×D414yes—
310C24×C3C22×D511yescharacteristic
311C23×D3—51no—
312C23×D3—52no—
313C22×C3×C4—28no—
314C22×C3×C4—24no—
315C22×C3×C4C22×D511yescharacteristic
316C22×C3×C4C22×D512yes—
317C22×C3×C4C22×D512yes—
318C22×C3×C4C22×D514yes—
319C22×C3×C4C22×D518yes—
320C22×C3×C4C22×D511yescharacteristic
321C2×#67—58no—
322C2×#67—54no—
323C2×#67—58no—
324C2×#67—108no—
325C22×Dic3—51no—
326C22×Dic3—51no—
327C22×Dic3—51no—
328C22×Dic3—52no—
329#235—1064no—
330C2×D12—54no—
331C2×D12—58no—
332C2×D12—108no—
333C2×D12—104no—
334C2×C4×D3—58no—
335C2×C4×D3—54no—
336C2×C4×D3—58no—
337C2×C4×D3—108no—
338C2×C4×D3—108no—
339C2×C4×D3—104no—
340C2×Dic6—58no—
341C2×Dic6—108no—
342C3×C4⋊C4C22×D514yes—
343C3×C4⋊C4C22×D514yes—
344C3×C4⋊C4C22×D518yes—
345#217—54no—
346(C2×D3)⋊C4—58no—
347(C2×D3)⋊C4—54no—
348(C2×D3)⋊C4—58no—
349(C2×D3)⋊C4—58no—
350C4⋊Dic3—54no—
351Dic3⋊C4—58no—
352Dic3⋊C4—58no—
353Dic3⋊C4—54no—
354C4×Dic3—54no—
355C23×C5—22no—
356C23×C5—22no—
357C23×C5D3×D414yes—
358C23×C5C23×D312yes—
359C23×C5C23×D311yescharacteristic
360C22×D5—34no—
361C22×D5—32no—
362C22×D5—34no—
363C22×D5—62no—
364C22×D5—62no—
365C22×D5—64no—
366C22×D5—64no—
367C22×D5—64no—
368C2×C4×C5—22no—
369C2×C4×C5—24no—
370C2×C4×C5—24no—
371C2×C4×C5—216no—
372C2×C4×C5—28no—
373C2×C4×C5#23514yescomplemented
374C2×C4×C5C23×D312yes—
375C2×C4×C5C23×D314yes—
376C2×C4×C5C23×D314yes—
377C2×C4×C5C23×D312yes—
378C22⋊D5—316no—
379C22⋊D5—616no—
380C2×Dic5—34no—
381C2×Dic5—32no—
382C2×Dic5—32no—
383C2×Dic5—32no—
384C2×Dic5—34no—
385C2×Dic5—62no—
386C2×Dic5—64no—
387C2×Dic5—62no—
388D20—616no—
389D20—68no—
390C4×D5—616no—
391C4×D5—616no—
392C4×D5—68no—
393Dic10—616no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—152no—
397C22×D4—151no—
398C22×D4—152no—
399C22×D4—151no—
400C22×D4—152no—
401C23×C4—151no—
402C23×C4—152no—
403C23×C4—152no—
404C23×C4C2×D1511yescharacteristic
405C23×C4C2×D1512yes—
406C4⋊Q8—158no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—158no—
411#121—158no—
412C4×D4—158no—
413C4×D4—158no—
414C2×C4⋊C4—151no—
415C2×C4⋊C4—152no—
416C2×C4⋊C4—151no—
417C2×C4⋊C4—152no—
418C2×C4⋊C4—158no—
419C2×C4⋊C4C2×D1511yescharacteristic
420C2×C4⋊C4C2×D1511yescharacteristic
421C2×C4⋊C4C2×D1512yes—
422C2×C4⋊C4C2×D1518yescomplemented
423C2×C22⋊C4—151no—
424C2×C22⋊C4—151no—
425C2×C22⋊C4—152no—
426C2×C22⋊C4—152no—
427C2×C22⋊C4—152no—
428C2×C42—151no—
429C2×C3×C5—24no—
430C2×C3×C5#54714yescomplemented
431C2×C3×C5C23×D411yescharacteristic
432C2×C3×C5C22×#4111yescharacteristic
433C2×C3×C5C2×2−1+411yescharacteristic
434D15—24no—
435D15—44no—
436C23×C3—22no—
437C23×C3—22no—
438C23×C3D4×D514yes—
439C23×C3C23×D512yes—
440C23×C3C23×D511yescharacteristic
441C22×D3—54no—
442C22×D3—52no—
443C22×D3—54no—
444C22×D3—102no—
445C22×D3—102no—
446C22×D3—104no—
447C22×D3—104no—
448C22×D3—104no—
449C2×C3×C4—22no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—216no—
453C2×C3×C4—28no—
454C2×C3×C4#70914yescomplemented
455C2×C3×C4C23×D512yes—
456C2×C3×C4C23×D514yes—
457C2×C3×C4C23×D514yes—
458C2×C3×C4C23×D512yes—
459#67—516no—
460#67—1016no—
461C2×Dic3—54no—
462C2×Dic3—52no—
463C2×Dic3—52no—
464C2×Dic3—52no—
465C2×Dic3—54no—
466C2×Dic3—102no—
467C2×Dic3—104no—
468C2×Dic3—102no—
469D12—1016no—
470D12—108no—
471C4×D3—1016no—
472C4×D3—1016no—
473C4×D3—108no—
474Dic6—1016no—
475C22×C5—22no—
476C22×C5—22no—
477C22×C5—28no—
478C22×C5C2×#23512yes—
479C22×C5C2×D3×D414yes—
480C22×C5C2×D3×D412yes—
481C22×C5#100712yes—
482C22×C5C24×D311yescharacteristic
483C2×D5—34no—
484C2×D5—62no—
485C2×D5—62no—
486C2×D5—68no—
487C2×D5—64no—
488C2×D5—64no—
489C2×D5—64no—
490C2×D5—128no—
491C4×C5—22no—
492C4×C5—24no—
493C4×C5—24no—
494C4×C5C2×#23514yescomplemented
495Dic5—34no—
496Dic5—62no—
497Dic5—64no—
498Dic5—62no—
499C24—151no—
500C24—152no—
501C24C22×D1511yescharacteristic
502#41—3064no—
503C2×Q8—158no—
504C2×Q8—308no—
505C2×D4—158no—
506C2×D4—154no—
507C2×D4—158no—
508C2×D4—154no—
509C2×D4—158no—
510C2×D4—308no—
511C2×D4—308no—
512C2×D4—304no—
513C22×C4—28no—
514C22×C4—24no—
515C22×C4—151no—
516C22×C4—151no—
517C22×C4—151no—
518C22×C4—152no—
519C22×C4—154no—
520C22×C4—158no—
521C22×C4—158no—
522C22×C4—308no—
523C22×C4—308no—
524C22×C4—304no—
525C22×C4C22×D1514yes—
526C22×C4C22×D1518yes—
527C22×C4C22×D1511yescharacteristic
528C22×C4C22×D1512yes—
529C22×C4C22×D1512yes—
530C22×C4C22×D1511yescharacteristic
531C4⋊C4—154no—
532C4⋊C4—158no—
533C4⋊C4—154no—
534C4⋊C4—158no—
535C4⋊C4C22×D1514yes—
536C4⋊C4C22×D1514yes—
537C4⋊C4C22×D1518yes—
538C22⋊C4—154no—
539C22⋊C4—154no—
540C22⋊C4—158no—
541C22⋊C4—158no—
542C22⋊C4—158no—
543C42—154no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3—28no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3C2×#70912yes—
549C22×C3C2×D4×D514yes—
550C22×C3C2×D4×D512yes—
551C22×C3#414712yes—
552C22×C3C24×D511yescharacteristic
553C2×D3—54no—
554C2×D3—108no—
555C2×D3—102no—
556C2×D3—102no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—104no—
560C2×D3—208no—
561C3×C4—22no—
562C3×C4—24no—
563C3×C4—24no—
564C3×C4C2×#70914yescomplemented
565Dic3—54no—
566Dic3—102no—
567Dic3—104no—
568Dic3—102no—
569C2×C5—24no—
570C2×C5#550714yescomplemented
571C2×C5C22×#23511yescharacteristic
572C2×C5C22×D3×D411yescharacteristic
573C2×C5C2×#100711yescharacteristic
574D5—64no—
575D5—124no—
576C23—22no—
577C23—22no—
578C23—154no—
579C23—152no—
580C23—154no—
581C23—302no—
582C23—302no—
583C23—304no—
584C23—304no—
585C23—304no—
586C23D4×D1514yes—
587C23C23×D1512yes—
588C23C23×D1511yescharacteristic
589Q8—3016no—
590D4—1516no—
591D4—3016no—
592D4—3016no—
593D4—308no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—216no—
598C2×C4—28no—
599C2×C4—154no—
600C2×C4—152no—
601C2×C4—152no—
602C2×C4—152no—
603C2×C4—154no—
604C2×C4—3016no—
605C2×C4—3016no—
606C2×C4—302no—
607C2×C4—304no—
608C2×C4—302no—
609C2×C4—308no—
610C2×C4#681714yescomplemented
611C2×C4C23×D1512yes—
612C2×C4C23×D1514yes—
613C2×C4C23×D1514yes—
614C2×C4C23×D1512yes—
615C2×C3—24no—
616C2×C3#6584114yescomplemented
617C2×C3C22×#70911yescharacteristic
618C2×C3C22×D4×D511yescharacteristic
619C2×C3C2×#414711yescharacteristic
620D3—104no—
621D3—204no—
622C5C2×#550711yescharacteristic, complemented, Sylow
623C22—22no—
624C22—22no—
625C22—28no—
626C22—154no—
627C22—302no—
628C22—302no—
629C22—308no—
630C22—304no—
631C22—304no—
632C22—304no—
633C22—608no—
634C22C2×#681712yes—
635C22C2×D4×D1514yes—
636C22C2×D4×D1512yes—
637C22#9209812yes—
638C22C24×D1511yescharacteristic
639C4—22no—
640C4—24no—
641C4—24no—
642C4—154no—
643C4—302no—
644C4—304no—
645C4—302no—
646C4C2×#681714yescomplemented
647C3C2×#6584111yescharacteristic, complemented, Sylow
648C2—24no—
649C2—304no—
650C2—604no—
651C2#1175626614yesdirect product factor
652C2C22×#681711yescharacteristic
653C2C22×D4×D1511yescharacteristic
654C2C2×#9209811yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC22×C3×C5×C4⋊C4C2
socleC23×C3×C5C24
hypercenterC22×C4⋊C4D15
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×#6817C2semidirect
2. C22×C3×C5×C4⋊C4C2semidirect
3. C2×#91819C2semidirect
4. C2×#91818C2semidirect
5. C2×C4×#1220C2semidirect
6. C2×#91785C2semidirect
7. #11756266C2direct (N × H)
8. C2×#91784C2semidirect
9. C2×#91783C2semidirect
10. C2×#91782C2semidirect
11. C2×C4⋊C4×D15C2semidirect
12. C2×#91777C2semidirect
19. C2×#6817C22semidirect
29. C2×C3×C5×C4⋊C4C22semidirect
31. #91819C22semidirect
32. #91818C22semidirect
33. C4×#1220C22semidirect
43. #91785C22semidirect
44. #91784C22semidirect
45. #91783C22semidirect
46. #91782C22semidirect
47. C4⋊C4×D15C22semidirect
48. #91777C22semidirect
51. C22×C5×C4⋊C4D3semidirect
74. C2×#1220D4semidirect
108. C22×C3×C4⋊C4D5semidirect
134. C2×C5×C4⋊C4C2×D3semidirect
173. C2×C3×C4×C5#41semidirect
179. #1220C2×D4semidirect
209. C2×C3×C4⋊C4C2×D5semidirect
285. C22×C4⋊C4D15semidirect
305. C3×C4×C5C2×#41semidirect
373. C2×C4×C5#235semidirect
422. C2×C4⋊C4C2×D15semidirect
430. C2×C3×C5#547semidirect
454. C2×C3×C4#709semidirect
494. C4×C5C2×#235semidirect
544. C3×C5C2×#547semidirect
564. C3×C4C2×#709semidirect
570. C2×C5#5507semidirect
610. C2×C4#6817semidirect
616. C2×C3#65841semidirect
622. C5C2×#5507semidirect
646. C4C2×#6817semidirect
647. C3C2×#65841semidirect
651. C2#11756266direct (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×C3×C5×C4⋊C42
C2×#918192
C2×#918182
C2×C4×#12202
C2×#917852
#117562662
C2×#917842
C2×#917832
C2×#917822
C2×C4⋊C4×D152
C2×#917772
C2×#658413
C2×#55075