Finite Group Databasebeta

← C2×#11754777 #14480057

Subgroups — C2×#11754777 #14480057

Order 1920.

3456 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×#6779C212yesmaximal, complemented
2C2×#91827C211yesmaximal, characteristic, complemented
3C2×C5×D4×Dic3C211yesmaximal, characteristic, complemented
4C2×C3×#4086C211yesmaximal, characteristic, complemented
5C2×Dic3×C22⋊D5C212yesmaximal, complemented
6C2×#91534C212yesmaximal, complemented
7C2×#91533C212yesmaximal, complemented
8#11754777C2116yesmaximal, direct product factor
9C2×#91468C211yesmaximal, characteristic, complemented
10C2×#91465C211yesmaximal, characteristic, complemented
11C2×Dic3×D20C211yesmaximal, characteristic, complemented
12C2×C4×#1200C211yesmaximal, characteristic, complemented
13C2×#65882—31nomaximal, Hall
14C22×C3×C5×D4C2211yescharacteristic
15C22×#1220C2212yes—
16C22×C4×D15C2211yescharacteristic
17C23×C5×Dic3C2212yes—
18C22×C3×C22⋊D5C2212yes—
19C22×C3×C22⋊D5C2212yes—
20C22×C3×D20C2211yescharacteristic
21C22×#1204C2212yes—
22C22×#1202C2212yes—
23C22×#1200C2211yescharacteristic
24C22×#1200C2211yescharacteristic
25C2×#6779—216no—
26C2×#6779C22116yescomplemented
27C22×D5×Dic3C2212yes—
28C2×#6719C2212yes—
29#91827C2218yescomplemented
30C2×C4⋊Dic15C2211yescharacteristic
31C2×C5×#217C2212yes—
32C5×D4×Dic3C2218yescomplemented
33C2×C5×C4⋊Dic3C2211yescharacteristic
34C2×C4×C5×Dic3C2211yescharacteristic
35C3×#4086C2218yescomplemented
36C2×C3×C4×Dic5C2211yescharacteristic
37Dic3×C22⋊D5C22116yescomplemented
38C2×#6668C2212yes—
39C2×#6665C2212yes—
40C2×#6665C2212yes—
41#91534C22116yescomplemented
42#91533C22116yescomplemented
43C2×Dic3×Dic5C2211yescharacteristic
44C2×Dic3×Dic5C2211yescharacteristic
45#91468C2218yescomplemented
46#91465C2218yescomplemented
47Dic3×D20C2218yescomplemented
48C4×#1200C2218yescomplemented
49C2×#5716—51nomaximal, Hall
50C22×#709—32no—
51C2×C4×C5×D4—31no—
52C2×#4086D311yescharacteristic, complemented
53C2×#4084—31no—
54C2×C4×C22⋊D5—32no—
55#65882—316no—
56C2×#4041—31no—
57C2×#4034—31no—
58C2×#4031—32no—
59C2×#4030—32no—
60C2×C4×D20—31no—
61C2×C42×D5—31no—
62C24×C3×C5C2312yes—
63C23×D15C2311yescharacteristic
64C23×C3×D5C2312yes—
65C2×C3×C5×D4—24no—
66C2×C3×C5×D4C2314yes—
67C22×C3×C4×C5C2311yescharacteristic
68C2×#1220—28no—
69C2×#1220C2318yes—
70C22×Dic15C2312yes—
71C22×Dic15C2311yescharacteristic
72C2×C4×D15—24no—
73C2×C4×D15C2314yes—
74C22×C5×Dic3—28no—
75C22×C5×Dic3C2311yescharacteristic
76C22×C5×Dic3C2312yes—
77C22×C5×Dic3C2318yes—
78C22×C5×Dic3C2311yescharacteristic
79C2×C3×C22⋊D5—28no—
80C2×C3×C22⋊D5—28no—
81C2×C3×C22⋊D5C2318yes—
82C2×C3×C22⋊D5C2318yes—
83C22×C3×Dic5C2311yescharacteristic
84C22×C3×Dic5C2311yescharacteristic
85C2×C3×D20—24no—
86C2×C3×D20C2314yes—
87C2×#1204—28no—
88C2×#1204C2318yes—
89C2×#1202—28no—
90C2×#1202C2318yes—
91C2×#1200—24no—
92C2×#1200D418yescomplemented
93C2×#1200C2314yes—
94C2×#1200C2314yes—
95#6779—264no—
96C2×D5×Dic3—28no—
97C2×D5×Dic3C2318yes—
98#6719C2318yes—
99C4⋊Dic15C2314yes—
100C5×#217C2318yes—
101C5×C4⋊Dic3C2314yes—
102C4×C5×Dic3C2314yes—
103C3×C4×Dic5C2314yes—
104#6668C2318yes—
105#6665C2318yes—
106#6665C2318yes—
107Dic3×Dic5C2314yes—
108Dic3×Dic5C2314yes—
109C22×#237—52no—
110C2×C3×#127—51no—
111C2×#938—51no—
112C2×#938—52no—
113C2×#938—51no—
114C2×#936—52no—
115C2×D4×Dic3—52no—
116C2×D4×Dic3—51no—
117C2×D4×Dic3D511yescharacteristic, complemented
118#5716—516no—
119C2×C42×D3—51no—
120C2×#869—51no—
121C22×C5×D4C2×D311yescharacteristic
122C23×C4×C5—32no—
123C22×C22⋊D5—32no—
124C22×C22⋊D5C2×D312yes—
125C22×C22⋊D5C2×D312yes—
126C2×#709—316no—
127C2×#709—616no—
128C22×D20—32no—
129C22×D20C2×D311yescharacteristic
130C22×C4×D5—31no—
131C22×C4×D5—32no—
132C22×C4×D5—31no—
133C22×C4×D5—31no—
134C22×Dic10—32no—
135C4×C5×D4—38no—
136C2×C5×C4⋊C4—31no—
137C2×C5×C22⋊C4—32no—
138C2×C42×C5—31no—
139C2×C22⋊Dic5—32no—
140#4086C2×D318yescomplemented
141#4084—38no—
142C4×C22⋊D5—316no—
143C2×#685—32no—
144C2×#685—32no—
145C2×C4⋊Dic5—31no—
146C2×#683—32no—
147C2×C4×Dic5—31no—
148C2×C4×Dic5—31no—
149C2×C4×Dic5C2×D311yescharacteristic
150#4041—38no—
151#4034—38no—
152#4031—316no—
153#4030—316no—
154C4×D20—38no—
155C42×D5—38no—
156C2×#532—151noSylow
157C23×C3×C5—24no—
158C23×C3×C5—24no—
159C23×C3×C5—24no—
160C23×C3×C5C2414yes—
161C23×C3×C5C2411yescharacteristic
162C22×D15—22no—
163C22×D15—22no—
164C22×D15C2×D414yes—
165C22×D15C2412yes—
166C22×C3×D5—24no—
167C22×C3×D5—24no—
168C22×C3×D5—24no—
169C22×C3×D5C2414yes—
170C3×C5×D4—28no—
171C2×C3×C4×C5#4114yescomplemented
172C2×C3×C4×C5C2412yes—
173#1220—216no—
174C2×Dic15—24no—
175C2×Dic15—22no—
176C2×Dic15C2412yes—
177C2×Dic15C2414yes—
178C4×D15—28no—
179C2×C5×Dic3—24no—
180C2×C5×Dic3—22no—
181C2×C5×Dic3—216no—
182C2×C5×Dic3C2×D414yes—
183C2×C5×Dic3C2412yes—
184C2×C5×Dic3C2414yes—
185C2×C5×Dic3C2412yes—
186C3×C22⋊D5—216no—
187C3×C22⋊D5—216no—
188C2×C3×Dic5C2×D414yes—
189C2×C3×Dic5#4114yescomplemented
190C2×C3×Dic5C2412yes—
191C2×C3×Dic5C2412yes—
192C3×D20—28no—
193#1204—216no—
194#1202—216no—
195#1200—28no—
196#1200C2×D4116yescomplemented
197D5×Dic3—216no—
198C22×C3×D4—52no—
199C22×C3×D4—52no—
200C22×C3×D4—51no—
201C22×C3×D4C2×D511yescharacteristic
202C22×#67—52no—
203C22×#67—52no—
204C23×Dic3—52no—
205C23×Dic3C2×D512yes—
206C2×#237—516no—
207C2×#237—1016no—
208C22×C4×D3—51no—
209C22×C4×D3—51no—
210C22×C4×D3—51no—
211C22×Dic6—52no—
212C3×#127—58no—
213C2×C3×C42—51no—
214C2×#217—52no—
215C2×#217—52no—
216C2×#217—52no—
217C2×#217C2×D512yes—
218#938—58no—
219#938—516no—
220#938—58no—
221#936—516no—
222D4×Dic3—516no—
223D4×Dic3—58no—
224D4×Dic3C2×D518yescomplemented
225C2×C4⋊Dic3—51no—
226C2×C4⋊Dic3—52no—
227C2×C4⋊Dic3C2×D511yescharacteristic
228C2×C4×Dic3—51no—
229C2×C4×Dic3—51no—
230C2×C4×Dic3C2×D511yescharacteristic
231C42×D3—58no—
232#869—58no—
233C24×C5C22×D312yes—
234C23×D5—31no—
235C23×D5C22×D312yes—
236C2×C5×D4—24no—
237C2×C5×D4C22×D314yes—
238C22×C4×C5—31no—
239C22×C4×C5—31no—
240C22×C4×C5—32no—
241C22×C4×C5—38no—
242C22×C4×C5—68no—
243C22×C4×C5C22×D311yescharacteristic
244C2×C22⋊D5—28no—
245C2×C22⋊D5—28no—
246C2×C22⋊D5—38no—
247C2×C22⋊D5—68no—
248C2×C22⋊D5C22×D318yes—
249C2×C22⋊D5C22×D318yes—
250C22×Dic5—31no—
251C22×Dic5—32no—
252C22×Dic5C22×D311yescharacteristic
253C22×Dic5C22×D311yescharacteristic
254#709—664no—
255C2×D20—24no—
256C2×D20—38no—
257C2×D20—68no—
258C2×D20C22×D314yes—
259C2×C4×D5—38no—
260C2×C4×D5—34no—
261C2×C4×D5—38no—
262C2×C4×D5—34no—
263C2×C4×D5—34no—
264C2×C4×D5—68no—
265C2×C4×D5—64no—
266C2×C4×D5—64no—
267C2×Dic10—38no—
268C2×Dic10—68no—
269C5×C4⋊C4—34no—
270C5×C22⋊C4—38no—
271C42×C5—34no—
272C22⋊Dic5—38no—
273#685—38no—
274#685—38no—
275C4⋊Dic5—34no—
276#683—38no—
277C4×Dic5—34no—
278C4×Dic5—34no—
279C4×Dic5C22×D314yes—
280C22×#41—152no—
281#532—1516no—
282C2×C4⋊Q8—151no—
283C2×#127—51no—
284C2×#124—152no—
285C2×#121—152no—
286C2×#121—151no—
287C2×#121—151no—
288C2×C4×D4—31no—
289C2×C4×D4—151no—
290C2×C4×D4—152no—
291C22×C42—151no—
292C22×C3×C5—24no—
293C22×C3×C5—24no—
294C22×C3×C5—24no—
295C22×C3×C5—48no—
296C22×C3×C5C22×D412yes—
297C22×C3×C5C2×#4112yes—
298C22×C3×C5C2×#4112yes—
299C22×C3×C5C2511yescharacteristic
300C2×D15—28no—
301C2×D15—22no—
302C2×D15—22no—
303C2×D15C22×D414yes—
304C2×C3×D5—24no—
305C2×C3×D5—24no—
306C2×C3×D5—24no—
307C2×C3×D5—48no—
308C3×C4×C5C2×#4114yescomplemented
309Dic15—24no—
310Dic15—22no—
311C3×Dic5C22×D414yes—
312C3×Dic5C2×#4114yescomplemented
313C5×Dic3—24no—
314C5×Dic3—22no—
315C5×Dic3C22×D414yes—
316C24×C3—52no—
317C24×C3C22×D512yes—
318C23×D3—51no—
319C2×C3×D4—24no—
320C2×C3×D4—58no—
321C2×C3×D4—58no—
322C2×C3×D4—54no—
323C2×C3×D4—108no—
324C2×C3×D4—108no—
325C2×C3×D4—104no—
326C2×C3×D4C22×D514yes—
327C22×C3×C4—51no—
328C22×C3×C4—51no—
329C22×C3×C4C22×D511yescharacteristic
330C2×#67—58no—
331C2×#67—58no—
332C2×#67—108no—
333C2×#67—108no—
334C22×Dic3—28no—
335C22×Dic3—51no—
336C22×Dic3—52no—
337C22×Dic3—58no—
338C22×Dic3—108no—
339C22×Dic3C22×D511yescharacteristic
340C22×Dic3C22×D512yes—
341C22×Dic3C22×D518yes—
342C22×Dic3C22×D511yescharacteristic
343#237—1064no—
344C2×C4×D3—58no—
345C2×C4×D3—54no—
346C2×C4×D3—54no—
347C2×C4×D3—54no—
348C2×C4×D3—104no—
349C2×C4×D3—104no—
350C2×Dic6—58no—
351C2×Dic6—108no—
352C3×C42—54no—
353#217—58no—
354#217—58no—
355#217—58no—
356#217C22×D518yes—
357C4⋊Dic3—54no—
358C4⋊Dic3—58no—
359C4⋊Dic3C22×D514yes—
360C4×Dic3—54no—
361C4×Dic3—54no—
362C4×Dic3C22×D514yes—
363C23×C5—24no—
364C23×C5—24no—
365C23×C5—24no—
366C23×C5C23×D314yes—
367C23×C5C23×D311yescharacteristic
368C22×D5—24no—
369C22×D5—24no—
370C22×D5—24no—
371C22×D5—34no—
372C22×D5—32no—
373C22×D5—62no—
374C22×D5—62no—
375C22×D5C23×D314yes—
376C5×D4—28no—
377C2×C4×C5—34no—
378C2×C4×C5—32no—
379C2×C4×C5—32no—
380C2×C4×C5—34no—
381C2×C4×C5—616no—
382C2×C4×C5—64no—
383C2×C4×C5—62no—
384C2×C4×C5#23714yescomplemented
385C2×C4×C5C23×D312yes—
386C22⋊D5—216no—
387C22⋊D5—216no—
388C22⋊D5—616no—
389C2×Dic5—32no—
390C2×Dic5—34no—
391C2×Dic5—64no—
392C2×Dic5—62no—
393C2×Dic5D3×D414yes—
394C2×Dic5#23714yescomplemented
395C2×Dic5C23×D312yes—
396C2×Dic5C23×D312yes—
397D20—28no—
398D20—616no—
399C4×D5—316no—
400C4×D5—616no—
401C4×D5—68no—
402C4×D5—68no—
403Dic10—616no—
404C2×#41—1516no—
405C2×#41—3016no—
406C22×Q8—152no—
407C22×D4—52no—
408C22×D4—52no—
409C22×D4—51no—
410C22×D4—152no—
411C22×D4—152no—
412C22×D4D3×D511yescharacteristic
413C23×C4—32no—
414C23×C4—151no—
415C23×C4—151no—
416C23×C4—152no—
417C23×C4—151no—
418C4⋊Q8—158no—
419#127—58no—
420#124—1516no—
421#121—1516no—
422#121—158no—
423#121—158no—
424C4×D4—38no—
425C4×D4—158no—
426C4×D4—1516no—
427C2×C4⋊C4—31no—
428C2×C4⋊C4—152no—
429C2×C4⋊C4—151no—
430C2×C22⋊C4—32no—
431C2×C22⋊C4—152no—
432C2×C22⋊C4—152no—
433C2×C22⋊C4—152no—
434C2×C42—31no—
435C2×C42—51no—
436C2×C42—158no—
437C2×C42—151no—
438C2×C42—151no—
439C2×C3×C5—44no—
440C2×C3×C5#53214yescomplemented
441C2×C3×C5C23×D411yescharacteristic
442C2×C3×C5C22×#4111yescharacteristic
443C2×C3×C5C22×#4111yescharacteristic
444D15—24no—
445C3×D5—44no—
446C23×C3—24no—
447C23×C3—24no—
448C23×C3—24no—
449C23×C3—54no—
450C23×C3—104no—
451C23×C3—104no—
452C23×C3—104no—
453C23×C3C23×D514yes—
454C23×C3C23×D511yescharacteristic
455C22×D3—54no—
456C22×D3—52no—
457C22×D3—102no—
458C22×D3—102no—
459C3×D4—28no—
460C3×D4—1016no—
461C3×D4—1016no—
462C3×D4—108no—
463C2×C3×C4—54no—
464C2×C3×C4—54no—
465C2×C3×C4—52no—
466C2×C3×C4—52no—
467C2×C3×C4#70914yescomplemented
468C2×C3×C4C23×D512yes—
469#67—1016no—
470#67—1016no—
471C2×Dic3—24no—
472C2×Dic3—22no—
473C2×Dic3—216no—
474C2×Dic3—52no—
475C2×Dic3—54no—
476C2×Dic3—102no—
477C2×Dic3—104no—
478C2×Dic3—1016no—
479C2×Dic3D4×D514yes—
480C2×Dic3C23×D512yes—
481C2×Dic3C23×D514yes—
482C2×Dic3C23×D512yes—
483C4×D3—516no—
484C4×D3—108no—
485C4×D3—108no—
486Dic6—1016no—
487C22×C5—24no—
488C22×C5—24no—
489C22×C5—24no—
490C22×C5—48no—
491C22×C5C2×D3×D412yes—
492C22×C5C2×#23712yes—
493C22×C5C2×#23712yes—
494C22×C5C24×D311yescharacteristic
495C2×D5—24no—
496C2×D5—24no—
497C2×D5—24no—
498C2×D5—34no—
499C2×D5—48no—
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—68no—
503C4×C5—34no—
504C4×C5—64no—
505C4×C5—62no—
506C4×C5C2×#23714yescomplemented
507Dic5—64no—
508Dic5—62no—
509Dic5C2×D3×D414yes—
510Dic5C2×#23714yescomplemented
511C24—52no—
512C24—151no—
513C24C2×D3×D512yes—
514#41—3064no—
515C2×Q8—158no—
516C2×Q8—308no—
517C2×D4—24no—
518C2×D4—58no—
519C2×D4—58no—
520C2×D4—54no—
521C2×D4—108no—
522C2×D4—108no—
523C2×D4—104no—
524C2×D4—158no—
525C2×D4—158no—
526C2×D4—308no—
527C2×D4—308no—
528C2×D4C2×D3×D514yes—
529C22×C4—31no—
530C22×C4—38no—
531C22×C4—31no—
532C22×C4—32no—
533C22×C4—51no—
534C22×C4—51no—
535C22×C4—68no—
536C22×C4—154no—
537C22×C4—158no—
538C22×C4—154no—
539C22×C4—158no—
540C22×C4—151no—
541C22×C4—152no—
542C22×C4—154no—
543C22×C4—308no—
544C22×C4—304no—
545C22×C4—304no—
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—34no—
548C4⋊C4—158no—
549C4⋊C4—154no—
550C22⋊C4—38no—
551C22⋊C4—158no—
552C22⋊C4—158no—
553C22⋊C4—158no—
554C42—34no—
555C42—54no—
556C42—154no—
557C42—154no—
558C3×C5C2×#53211yescharacteristic, complemented, Hall
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—48no—
563C22×C3—104no—
564C22×C3—104no—
565C22×C3—104no—
566C22×C3—208no—
567C22×C3C2×#70912yes—
568C22×C3C2×D4×D512yes—
569C22×C3D5×#4112yes—
570C22×C3C24×D511yescharacteristic
571C2×D3—54no—
572C2×D3—108no—
573C2×D3—102no—
574C2×D3—102no—
575C3×C4—54no—
576C3×C4—54no—
577C3×C4C2×#70914yescomplemented
578Dic3—24no—
579Dic3—22no—
580Dic3—102no—
581Dic3—104no—
582Dic3C2×D4×D514yes—
583C2×C5—44no—
584C2×C5#571614yescomplemented
585C2×C5C22×D3×D411yescharacteristic
586C2×C5C22×#23711yescharacteristic
587C2×C5C22×#23711yescharacteristic
588D5—44no—
589D5—64no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—54no—
594C23—104no—
595C23—104no—
596C23—104no—
597C23—154no—
598C23—152no—
599C23—302no—
600C23—302no—
601C23C22×D3×D514yes—
602C23C22×D3×D511yescharacteristic
603Q8—3016no—
604D4—28no—
605D4—1016no—
606D4—1016no—
607D4—108no—
608D4—3016no—
609D4—3016no—
610C2×C4—34no—
611C2×C4—32no—
612C2×C4—32no—
613C2×C4—34no—
614C2×C4—54no—
615C2×C4—54no—
616C2×C4—52no—
617C2×C4—52no—
618C2×C4—616no—
619C2×C4—64no—
620C2×C4—62no—
621C2×C4—1516no—
622C2×C4—152no—
623C2×C4—154no—
624C2×C4—3016no—
625C2×C4—308no—
626C2×C4—304no—
627C2×C4—302no—
628C2×C4—308no—
629C2×C4#677914yescomplemented
630C2×C4C22×D3×D512yes—
631C2×C3—44no—
632C2×C3—204no—
633C2×C3#6588214yescomplemented
634C2×C3C22×#70911yescharacteristic
635C2×C3C22×D4×D511yescharacteristic
636C2×C3C2×D5×#4111yescharacteristic
637D3—104no—
638C5C2×#571611yescharacteristic, complemented, Sylow
639C22—24no—
640C22—24no—
641C22—24no—
642C22—48no—
643C22—104no—
644C22—104no—
645C22—104no—
646C22—154no—
647C22—208no—
648C22—302no—
649C22—308no—
650C22—302no—
651C22D3×D4×D512yes—
652C22D5×#23712yes—
653C22C2×#677912yes—
654C22C23×D3×D511yescharacteristic
655C4—34no—
656C4—54no—
657C4—54no—
658C4—64no—
659C4—62no—
660C4—302no—
661C4—304no—
662C4C2×#677914yescomplemented
663C3C2×#6588211yescharacteristic, complemented, Sylow
664C2—44no—
665C2—204no—
666C2—304no—
667C2#1175477714yesdirect product factor
668C2C2×D3×D4×D511yescharacteristic
669C2C2×D5×#23711yescharacteristic
670C2C22×#677911yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC22×C3×C5×D4C22
socleC23×C3×C5C24
hypercenterC22×D4D3×D5
hypocenterC3×C5C2×#532
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×#6779C2semidirect
2. C2×#91827C2semidirect
3. C2×C5×D4×Dic3C2semidirect
4. C2×C3×#4086C2semidirect
5. C2×Dic3×C22⋊D5C2semidirect
6. C2×#91534C2semidirect
7. C2×#91533C2semidirect
8. #11754777C2direct (N × H)
9. C2×#91468C2semidirect
10. C2×#91465C2semidirect
11. C2×Dic3×D20C2semidirect
12. C2×C4×#1200C2semidirect
26. C2×#6779C22semidirect
29. #91827C22semidirect
32. C5×D4×Dic3C22semidirect
35. C3×#4086C22semidirect
37. Dic3×C22⋊D5C22semidirect
41. #91534C22semidirect
42. #91533C22semidirect
45. #91468C22semidirect
46. #91465C22semidirect
47. Dic3×D20C22semidirect
48. C4×#1200C22semidirect
52. C2×#4086D3semidirect
92. C2×#1200D4semidirect
117. C2×D4×Dic3D5semidirect
140. #4086C2×D3semidirect
171. C2×C3×C4×C5#41semidirect
189. C2×C3×Dic5#41semidirect
196. #1200C2×D4semidirect
224. D4×Dic3C2×D5semidirect
308. C3×C4×C5C2×#41semidirect
312. C3×Dic5C2×#41semidirect
384. C2×C4×C5#237semidirect
394. C2×Dic5#237semidirect
440. C2×C3×C5#532semidirect
467. C2×C3×C4#709semidirect
506. C4×C5C2×#237semidirect
510. Dic5C2×#237semidirect
558. C3×C5C2×#532semidirect
577. C3×C4C2×#709semidirect
584. C2×C5#5716semidirect
629. C2×C4#6779semidirect
633. C2×C3#65882semidirect
638. C5C2×#5716semidirect
662. C4C2×#6779semidirect
663. C3C2×#65882semidirect
667. C2#11754777direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67792
C2×#918272
C2×C5×D4×Dic32
C2×C3×#40862
C2×Dic3×C22⋊D52
C2×#915342
C2×#915332
#117547772
C2×#914682
C2×#914652
C2×Dic3×D202
C2×C4×#12002
C2×#658823
C2×#57165