Finite Group Databasebeta

← C2×#11754338 #14482852

Subgroups — C2×#11754338 #14482852

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×C5×#235C211yesmaximal, characteristic, complemented
2C22×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×#91813C211yesmaximal, characteristic, complemented
4C2×C3×C4×C22⋊D5C211yesmaximal, characteristic, complemented
5C2×#91549C212yesmaximal, complemented
6C2×#91525C212yesmaximal, complemented
7C2×#91449C211yesmaximal, characteristic, complemented
8C2×#91441C212yesmaximal, complemented
9#11754338C2116yesmaximal, direct product factor
10C2×#91373C211yesmaximal, characteristic, complemented
11C2×#91352C212yesmaximal, complemented
12C2×Dic5×Dic6C211yesmaximal, characteristic, complemented
13C2×#66165—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C5×#67C2212yes—
17C2×C5×#235—28no—
18C2×C5×#235C2218yescomplemented
19C22×C5×D12C2211yescharacteristic
20C22×C4×C5×D3C2212yes—
21C22×C5×Dic6C2211yescharacteristic
22C22×C3×C22⋊D5C2211yescharacteristic
23C22×C3×C4×D5C2211yescharacteristic
24C22×#1204C2212yes—
25C22×#1201C2212yes—
26C22×D5×Dic3C2212yes—
27C2×D5×Dic6—28no—
28C2×D5×Dic6C2218yescomplemented
29C2×#6719C2212yes—
30C2×C4⋊Dic15C2211yescharacteristic
31#91813C2218yescomplemented
32C2×#6712C2212yes—
33C2×C3×C22⋊Dic5C2211yescharacteristic
34C3×C4×C22⋊D5C2218yescomplemented
35C2×C3×#685C2211yescharacteristic
36C2×C3×#683C2211yescharacteristic
37C2×C3×C4×Dic5C2211yescharacteristic
38#91549C22116yescomplemented
39C2×Dic3⋊Dic5C2212yes—
40C2×(C2×D3)⋊Dic5C2212yes—
41C2×(C2×D3)⋊Dic5C2212yes—
42C2×(C2×D3)⋊Dic5C2212yes—
43C2×Dic3×Dic5C2212yes—
44#91525C22116yescomplemented
45#91449C2218yescomplemented
46#91441C22116yescomplemented
47#91373C2218yescomplemented
48#91352C22116yescomplemented
49Dic5×Dic6C2218yescomplemented
50C2×#5552—51nomaximal, Hall
51C22×C5×#41—31no—
52C22×Q8×D5—31no—
53#66165—316no—
54C2×Q8×Dic5—31no—
55C2×#4084—32no—
56C2×#4084—31no—
57C2×#4082—31no—
58C2×#4082—32no—
59C2×C4×C22⋊D5—32no—
60C2×C4×C22⋊D5D311yescharacteristic, complemented
61C2×#4070—32no—
62C2×#4070—31no—
63C24×C3×C5C2311yescharacteristic
64C23×C5×D3C2312yes—
65C23×C3×D5C2311yescharacteristic
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C22×Dic15C2312yes—
71C22×Dic15C2312yes—
72C2×Dic30—24no—
73C2×Dic30C2314yes—
74C2×C5×#67—28no—
75C2×C5×#67C2318yes—
76C22×C5×Dic3C2312yes—
77C5×#235—232no—
78C2×C5×D12—24no—
79C2×C5×D12C2314yes—
80C2×C4×C5×D3—28no—
81C2×C4×C5×D3C2318yes—
82C2×C5×Dic6D418yescomplemented
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×#1204—28no—
92C2×#1204C2318yes—
93C2×#1201—28no—
94C2×#1201C2318yes—
95C2×D5×Dic3—28no—
96C2×D5×Dic3C2318yes—
97D5×Dic6—232no—
98#6719C2318yes—
99C4⋊Dic15C2314yes—
100#6712C2318yes—
101C3×C22⋊Dic5C2314yes—
102C3×#685C2314yes—
103C3×#683C2314yes—
104C3×C4×Dic5C2314yes—
105Dic3⋊Dic5C2318yes—
106(C2×D3)⋊Dic5C2318yes—
107(C2×D3)⋊Dic5C2318yes—
108(C2×D3)⋊Dic5C2318yes—
109Dic3×Dic5C2318yes—
110C22×#235D511yescharacteristic, complemented
111C23×Dic6—51no—
112C2×C3×C4×D4—51no—
113C2×#939—52no—
114C2×#930—51no—
115C2×#924—51no—
116#5552—516no—
117C2×#896—52no—
118C2×#885—52no—
119C2×#67⋊C4—52no—
120C2×#875—51no—
121C2×C4×Dic6—51no—
122C2×C5×#41—38no—
123C2×C5×#41—68no—
124C22×C5×Q8—31no—
125C22×C5×D4—32no—
126C22×C5×D4—31no—
127C23×C4×C5—32no—
128C23×C4×C5C2×D311yescharacteristic
129C22×C22⋊D5—32no—
130C22×C22⋊D5C2×D311yescharacteristic
131C2×Q8×D5—38no—
132C2×Q8×D5—68no—
133C22×C4×D5—32no—
134C22×C4×D5C2×D311yescharacteristic
135C22×Dic10—31no—
136C22×Dic10—32no—
137C2×C22⋊Dic5—32no—
138C2×C22⋊Dic5—32no—
139C2×C22⋊Dic5—32no—
140C2×C22⋊Dic5—32no—
141C2×C22⋊Dic5C2×D311yescharacteristic
142Q8×Dic5—38no—
143#4084—316no—
144#4084—38no—
145#4082—316no—
146#4082—38no—
147C4×C22⋊D5—316no—
148C4×C22⋊D5C2×D318yescomplemented
149C2×#685C2×D311yescharacteristic
150C2×C4⋊Dic5—31no—
151C2×C4⋊Dic5—32no—
152#4070—38no—
153#4070—316no—
154C2×#683—32no—
155C2×#683C2×D311yescharacteristic
156C2×C4×Dic5—32no—
157C2×C4×Dic5C2×D311yescharacteristic
158C2×#548—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5—22no—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×C5×D3—24no—
165C22×C5×D3—24no—
166C22×C5×D3—24no—
167C22×C5×D3C2414yes—
168C22×C3×D5—22no—
169C22×C3×D5—22no—
170C22×C3×D5#4114yescomplemented
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—
177C2×Dic15—24no—
178C2×Dic15—24no—
179C2×Dic15C2414yes—
180C2×Dic15C2414yes—
181Dic30—28no—
182C5×#67—216no—
183C2×C5×Dic3C2×D418yes—
184C2×C5×Dic3C2414yes—
185C5×D12—28no—
186C4×C5×D3—216no—
187C5×Dic6C2×D4116yescomplemented
188C3×C22⋊D5—28no—
189C2×C3×Dic5—22no—
190C2×C3×Dic5—22no—
191C2×C3×Dic5—22no—
192C2×C3×Dic5C2412yes—
193C2×C3×Dic5C2412yes—
194C2×C3×Dic5C2412yes—
195C3×C4×D5—28no—
196#1204—216no—
197#1201—216no—
198D5×Dic3—216no—
199C22×C3×D4—51no—
200C23×C3×C4—51no—
201C23×C3×C4C2×D511yescharacteristic
202C22×#67—52no—
203C22×#67C2×D512yes—
204C23×Dic3—52no—
205C2×#235—28no—
206C2×#235C2×D518yescomplemented
207C22×D12C2×D511yescharacteristic
208C22×C4×D3C2×D512yes—
209C22×Dic6—51no—
210C22×Dic6—52no—
211C22×Dic6—58no—
212C22×Dic6—108no—
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—
220#939—516no—
221#930—58no—
222C2×(C2×D3)⋊C4—52no—
223C2×(C2×D3)⋊C4—52no—
224C2×(C2×D3)⋊C4—52no—
225C2×C4⋊Dic3—51no—
226#924—58no—
227C2×Dic3⋊C4—52no—
228C2×Dic3⋊C4—52no—
229C2×C4×Dic3—52no—
230#896—516no—
231#885—516no—
232#67⋊C4—516no—
233#875—58no—
234C4×Dic6—58no—
235C24×C5—32no—
236C24×C5C22×D311yescharacteristic
237C23×D5C22×D311yescharacteristic
238C5×#41—632no—
239C2×C5×Q8—38no—
240C2×C5×Q8—34no—
241C2×C5×D4—38no—
242C2×C5×D4—34no—
243C2×C5×D4—68no—
244C2×C5×D4—64no—
245C22×C4×C5—24no—
246C22×C4×C5—32no—
247C22×C4×C5—38no—
248C22×C4×C5—68no—
249C22×C4×C5C22×D311yescharacteristic
250C22×C4×C5C22×D314yes—
251C22×C4×C5C22×D311yescharacteristic
252C2×C22⋊D5—24no—
253C2×C22⋊D5—38no—
254C2×C22⋊D5—68no—
255C2×C22⋊D5C22×D314yes—
256C22×Dic5—32no—
257C22×Dic5—32no—
258C22×Dic5C22×D311yescharacteristic
259C22×Dic5C22×D311yescharacteristic
260C22×Dic5C22×D311yescharacteristic
261Q8×D5—632no—
262C2×C4×D5—24no—
263C2×C4×D5—38no—
264C2×C4×D5—68no—
265C2×C4×D5C22×D314yes—
266C2×Dic10—34no—
267C2×Dic10—38no—
268C2×Dic10—68no—
269C2×Dic10—64no—
270C22⋊Dic5—38no—
271C22⋊Dic5—38no—
272C22⋊Dic5—38no—
273C22⋊Dic5—38no—
274C22⋊Dic5C22×D314yes—
275#685C22×D314yes—
276C4⋊Dic5—34no—
277C4⋊Dic5—38no—
278#683—38no—
279#683C22×D314yes—
280C4×Dic5—38no—
281C4×Dic5C22×D314yes—
282C22×#41—31no—
283C23×Q8—151no—
284#548—1516no—
285C2×#124—151no—
286C2×#124—152no—
287C2×C22⋊Q8—152no—
288C2×C22⋊Q8—151no—
289C2×#121—151no—
290C2×#121—152no—
291C2×C4×Q8—151no—
292C2×C4×D4—51no—
293C2×C4×D4—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×C5×D3—24no—
303C2×C5×D3—24no—
304C2×C5×D3—24no—
305C2×C5×D3—48no—
306C2×C3×D5—28no—
307C2×C3×D5—22no—
308C2×C3×D5—22no—
309C2×C3×D5C2×#4114yescomplemented
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—24no—
313Dic15—24no—
314C3×Dic5—22no—
315C3×Dic5—22no—
316C3×Dic5—22no—
317C5×Dic3C22×D418yes—
318C24×C3—51no—
319C24×C3C22×D511yescharacteristic
320C23×D3C22×D512yes—
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—28no—
333C2×#67—58no—
334C2×#67—108no—
335C2×#67C22×D518yes—
336C22×Dic3—52no—
337C22×Dic3—52no—
338C22×Dic3—58no—
339C22×Dic3—108no—
340C22×Dic3C22×D512yes—
341#235—232no—
342C2×D12—24no—
343C2×D12C22×D514yes—
344C2×C4×D3—28no—
345C2×C4×D3C22×D518yes—
346C2×Dic6—54no—
347C2×Dic6—58no—
348C2×Dic6—104no—
349C2×Dic6—108no—
350C2×Dic6—1032no—
351C2×Dic6C22⋊D518yescomplemented
352C2×Dic6C22×D514yes—
353C3×C4⋊C4—54no—
354C3×C22⋊C4—54no—
355C3×C22⋊C4—54no—
356C3×C42—54no—
357#217—58no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4—58no—
360(C2×D3)⋊C4—58no—
361C4⋊Dic3—54no—
362Dic3⋊C4—58no—
363Dic3⋊C4—58no—
364C4×Dic3—58no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5—34no—
369C23×C5—64no—
370C23×C5—64no—
371C23×C5—64no—
372C23×C5C23×D312yes—
373C23×C5C23×D311yescharacteristic
374C22×D5—22no—
375C22×D5—22no—
376C22×D5#23514yescomplemented
377C22×D5C23×D312yes—
378C5×Q8—316no—
379C5×D4—616no—
380C5×D4—68no—
381C2×C4×C5—22no—
382C2×C4×C5—28no—
383C2×C4×C5—38no—
384C2×C4×C5—34no—
385C2×C4×C5—616no—
386C2×C4×C5D3×D414yes—
387C2×C4×C5C23×D312yes—
388C2×C4×C5C23×D312yes—
389C22⋊D5—28no—
390C22⋊D5—616no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—22no—
394C2×Dic5—34no—
395C2×Dic5—34no—
396C2×Dic5—64no—
397C2×Dic5—64no—
398C2×Dic5C23×D312yes—
399C2×Dic5C23×D312yes—
400C2×Dic5C23×D312yes—
401C4×D5—28no—
402C4×D5—616no—
403Dic10—616no—
404Dic10—68no—
405C2×#41—38no—
406C2×#41—68no—
407C22×Q8—31no—
408C22×Q8—152no—
409C22×Q8—158no—
410C22×Q8—151no—
411C22×Q8—308no—
412C22×D4—32no—
413C22×D4—31no—
414C22×D4—51no—
415C22×D4—152no—
416C23×C4—32no—
417C23×C4—51no—
418C23×C4—152no—
419C23×C4D3×D511yescharacteristic
420#124—158no—
421#124—1516no—
422C22⋊Q8—1516no—
423C22⋊Q8—158no—
424#121—158no—
425#121—1516no—
426C4×Q8—158no—
427C4×D4—58no—
428C4×D4—1516no—
429C2×C4⋊C4—51no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—151no—
433C2×C22⋊C4—51no—
434C2×C22⋊C4—51no—
435C2×C22⋊C4—152no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C42—51no—
440C2×C42—152no—
441C2×C3×C5—42no—
442C2×C3×C5#54814yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446C3×D5—24no—
447C5×D3—44no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3—54no—
452C23×C3—52no—
453C23×C3—102no—
454C23×C3—102no—
455C23×C3C23×D512yes—
456C23×C3C23×D511yescharacteristic
457C22×D3—24no—
458C22×D3—24no—
459C22×D3—24no—
460C22×D3C23×D514yes—
461C3×D4—108no—
462C2×C3×C4—22no—
463C2×C3×C4—28no—
464C2×C3×C4—52no—
465C2×C3×C4—52no—
466C2×C3×C4—52no—
467C2×C3×C4—102no—
468C2×C3×C4—102no—
469C2×C3×C4—102no—
470C2×C3×C4—108no—
471C2×C3×C4C2×C22⋊D514yes—
472C2×C3×C4C23×D512yes—
473C2×C3×C4C23×D512yes—
474#67—216no—
475#67—1016no—
476C2×Dic3—54no—
477C2×Dic3—54no—
478C2×Dic3—104no—
479C2×Dic3—104no—
480C2×Dic3—1016no—
481C2×Dic3C2×C22⋊D518yes—
482C2×Dic3C23×D514yes—
483D12—28no—
484C4×D3—216no—
485Dic6—108no—
486Dic6—1016no—
487Dic6C2×C22⋊D5116yescomplemented
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—44no—
492C22×C5—64no—
493C22×C5—64no—
494C22×C5—64no—
495C22×C5—128no—
496C22×C5C2×#23512yes—
497C22×C5C2×D3×D412yes—
498C22×C5#101012yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—22no—
501C2×D5—22no—
502C2×D5—28no—
503C2×D5C2×#23514yescomplemented
504C4×C5—22no—
505C4×C5—38no—
506C4×C5C2×D3×D414yes—
507Dic5—22no—
508Dic5—22no—
509Dic5—22no—
510Dic5—64no—
511Dic5—64no—
512C24—32no—
513C24—51no—
514C24C2×D3×D511yescharacteristic
515#41—632no—
516C2×Q8—38no—
517C2×Q8—34no—
518C2×Q8—158no—
519C2×Q8—154no—
520C2×Q8—308no—
521C2×Q8—3032no—
522C2×Q8—304no—
523C2×D4—38no—
524C2×D4—34no—
525C2×D4—54no—
526C2×D4—68no—
527C2×D4—64no—
528C2×D4—104no—
529C2×D4—158no—
530C2×D4—308no—
531C22×C4—24no—
532C22×C4—32no—
533C22×C4—38no—
534C22×C4—51no—
535C22×C4—51no—
536C22×C4—51no—
537C22×C4—54no—
538C22×C4—68no—
539C22×C4—104no—
540C22×C4—158no—
541C22×C4—152no—
542C22×C4—152no—
543C22×C4—308no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—54no—
548C4⋊C4—158no—
549C4⋊C4—158no—
550C4⋊C4—154no—
551C22⋊C4—54no—
552C22⋊C4—54no—
553C22⋊C4—158no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C42—54no—
558C42—158no—
559C3×C5C2×#54811yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3—54no—
565C22×C3—108no—
566C22×C3—102no—
567C22×C3—102no—
568C22×C3D5×#4112yes—
569C22×C3#415012yes—
570C22×C3C22×C22⋊D512yes—
571C22×C3C24×D511yescharacteristic
572C2×D3—24no—
573C2×D3—24no—
574C2×D3—24no—
575C2×D3—48no—
576C3×C4—22no—
577C3×C4—102no—
578C3×C4—102no—
579C3×C4—102no—
580C3×C4C22×C22⋊D514yes—
581Dic3—104no—
582Dic3—104no—
583Dic3C22×C22⋊D518yes—
584C2×C5—42no—
585C2×C5—124no—
586C2×C5#555214yescomplemented
587C2×C5C22×#23511yescharacteristic
588C2×C5C22×D3×D411yescharacteristic
589C2×C5C2×#101011yescharacteristic
590D5—24no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—34no—
595C23—54no—
596C23—52no—
597C23—64no—
598C23—64no—
599C23—64no—
600C23—102no—
601C23—102no—
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—316no—
605Q8—3016no—
606Q8—308no—
607D4—616no—
608D4—68no—
609D4—108no—
610D4—3016no—
611C2×C4—22no—
612C2×C4—28no—
613C2×C4—38no—
614C2×C4—34no—
615C2×C4—52no—
616C2×C4—52no—
617C2×C4—52no—
618C2×C4—616no—
619C2×C4—102no—
620C2×C4—102no—
621C2×C4—102no—
622C2×C4—108no—
623C2×C4—154no—
624C2×C4—154no—
625C2×C4—3016no—
626C2×C4—304no—
627C2×C4—304no—
628C2×C4D3×C22⋊D514yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—42no—
632C2×C3—104no—
633C2×C3#6616514yescomplemented
634C2×C3C2×D5×#4111yescharacteristic
635C2×C3C2×#415011yescharacteristic
636C2×C3C23×C22⋊D511yescharacteristic
637D3—44no—
638C5C2×#555211yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—44no—
643C22—54no—
644C22—64no—
645C22—64no—
646C22—64no—
647C22—102no—
648C22—108no—
649C22—102no—
650C22—128no—
651C22#9200112yes—
652C22D5×#23512yes—
653C22C2×D3×C22⋊D512yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—38no—
657C4—102no—
658C4—102no—
659C4—102no—
660C4—304no—
661C4—304no—
662C4C2×D3×C22⋊D514yes—
663C3C2×#6616511yescharacteristic, complemented, Sylow
664C2—42no—
665C2—104no—
666C2—124no—
667C2#1175433814yesdirect product factor
668C2C2×#9200111yescharacteristic
669C2C2×D5×#23511yescharacteristic
670C2C22×D3×C22⋊D511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#548
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×C5×#235C2semidirect
2. C22×D5×Dic6C2semidirect
3. C2×#91813C2semidirect
4. C2×C3×C4×C22⋊D5C2semidirect
5. C2×#91549C2semidirect
6. C2×#91525C2semidirect
7. C2×#91449C2semidirect
8. C2×#91441C2semidirect
9. #11754338C2direct (N × H)
10. C2×#91373C2semidirect
11. C2×#91352C2semidirect
12. C2×Dic5×Dic6C2semidirect
18. C2×C5×#235C22semidirect
28. C2×D5×Dic6C22semidirect
31. #91813C22semidirect
34. C3×C4×C22⋊D5C22semidirect
38. #91549C22semidirect
44. #91525C22semidirect
45. #91449C22semidirect
46. #91441C22semidirect
47. #91373C22semidirect
48. #91352C22semidirect
49. Dic5×Dic6C22semidirect
60. C2×C4×C22⋊D5D3semidirect
82. C2×C5×Dic6D4semidirect
110. C22×#235D5semidirect
148. C4×C22⋊D5C2×D3semidirect
170. C22×C3×D5#41semidirect
187. C5×Dic6C2×D4semidirect
206. C2×#235C2×D5semidirect
309. C2×C3×D5C2×#41semidirect
351. C2×Dic6C22⋊D5semidirect
376. C22×D5#235semidirect
442. C2×C3×C5#548semidirect
487. Dic6C2×C22⋊D5semidirect
503. C2×D5C2×#235semidirect
559. C3×C5C2×#548semidirect
586. C2×C5#5552semidirect
633. C2×C3#66165semidirect
638. C5C2×#5552semidirect
663. C3C2×#66165semidirect
667. C2#11754338direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C5×#2352
C22×D5×Dic62
C2×#918132
C2×C3×C4×C22⋊D52
C2×#915492
C2×#915252
C2×#914492
C2×#914412
#117543382
C2×#913732
C2×#913522
C2×Dic5×Dic62
C2×#661653
C2×#55525