Finite Group Databasebeta

← C2×#11753340 #14482767

Subgroups — C2×#11753340 #14482767

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×#6769C212yesmaximal, complemented
2C2×#91784C211yesmaximal, characteristic, complemented
3C2×C5×D3×C4⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×#4034C211yesmaximal, characteristic, complemented
5C2×#91460C211yesmaximal, characteristic, complemented
6C2×C4×#1203C211yesmaximal, characteristic, complemented
7C2×#91437C211yesmaximal, characteristic, complemented
8C2×#91433C212yesmaximal, complemented
9C2×#91418C211yesmaximal, characteristic, complemented
10C2×#91411C212yesmaximal, complemented
11C2×#91351C212yesmaximal, complemented
12#11753340C2116yesmaximal, direct product factor
13C2×#65841—31nomaximal, Hall
14C22×D60C2211yescharacteristic
15C22×D60C2212yes—
16C22×C4×D15C2211yescharacteristic
17C22×C4×C5×D3C2211yescharacteristic
18C22×C4×C5×D3C2212yes—
19C22×C3×Dic10C2212yes—
20C22×#1203C2212yes—
21C22×#1203C2211yescharacteristic
22C22×#1200C2212yes—
23C22×#1200C2212yes—
24C2×#6769—216no—
25C2×#6769C22116yescomplemented
26C2×C3×C5×C4⋊C4C2211yescharacteristic
27C2×#6714C2212yes—
28#91784C2218yescomplemented
29C2×C5×C4⋊Dic3C2211yescharacteristic
30C2×C5×Dic3⋊C4C2212yes—
31C5×D3×C4⋊C4C2218yescomplemented
32C2×C3×C4⋊Dic5C2211yescharacteristic
33C2×C3×#683C2212yes—
34C2×C3×C4×Dic5C2211yescharacteristic
35C3×#4034C2218yescomplemented
36C2×#6669C2212yes—
37C2×#6668C2211yescharacteristic
38C2×#6667C2211yescharacteristic
39C2×#6667C2212yes—
40C2×#6667C2212yes—
41C2×(C2×D3)⋊Dic5C2211yescharacteristic
42#91460C2218yescomplemented
43C4×#1203C2218yescomplemented
44#91437C2218yescomplemented
45#91433C22116yescomplemented
46#91418C2218yescomplemented
47#91411C22116yescomplemented
48#91351C22116yescomplemented
49C2×#5726—51nomaximal, Hall
50C22×#709—32no—
51C22×C5×C4⋊C4—31no—
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×#4034D311yescharacteristic, complemented
62C23×D15C2312yes—
63C23×D15C2311yescharacteristic
64C23×C5×D3C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2311yescharacteristic
68C2×D60—28no—
69C2×D60—24no—
70C2×D60C2314yes—
71C2×D60C2318yes—
72C2×C4×D15—24no—
73C2×C4×D15C2314yes—
74C22×C5×Dic3C2311yescharacteristic
75C22×C5×Dic3C2312yes—
76C2×C4×C5×D3—28no—
77C2×C4×C5×D3—24no—
78C2×C4×C5×D3C2314yes—
79C2×C4×C5×D3C2318yes—
80C22×C3×Dic5C2312yes—
81C22×C3×Dic5C2311yescharacteristic
82C22×C3×Dic5C2311yescharacteristic
83C2×C3×Dic10—28no—
84C2×C3×Dic10C2318yes—
85C2×#1203—28no—
86C2×#1203D418yescomplemented
87C2×#1203C2318yes—
88C2×#1203C2314yes—
89C2×#1200—28no—
90C2×#1200—28no—
91C2×#1200C2318yes—
92C2×#1200C2318yes—
93#6769—264no—
94C3×C5×C4⋊C4C2314yes—
95#6714C2318yes—
96C5×C4⋊Dic3C2314yes—
97C5×Dic3⋊C4C2318yes—
98C3×C4⋊Dic5C2314yes—
99C3×#683C2318yes—
100C3×C4×Dic5C2314yes—
101#6669C2318yes—
102#6668C2314yes—
103#6667C2318yes—
104#6667C2318yes—
105#6667C2314yes—
106(C2×D3)⋊Dic5C2314yes—
107C22×#239—52no—
108C2×C3×C4⋊Q8—51no—
109C2×#946—52no—
110#5726—516no—
111C2×#895—51no—
112C2×#895—51no—
113C2×#894—52no—
114C2×#894—52no—
115C2×D3×C4⋊C4—51no—
116C2×D3×C4⋊C4D511yescharacteristic, complemented
117C2×C4×D12—51no—
118C2×C4×D12—51no—
119C23×C4×C5—31no—
120C23×C4×C5—32no—
121C22×C22⋊D5—31no—
122C22×C22⋊D5—32no—
123C2×#709—316no—
124C2×#709—616no—
125C22×D20—31no—
126C22×D20—32no—
127C22×C4×D5—31no—
128C22×C4×D5—32no—
129C22×C4×D5—32no—
130C22×Dic10C2×D312yes—
131C2×C5×C4⋊C4—31no—
132C2×C5×C4⋊C4—32no—
133C2×C5×C4⋊C4—38no—
134C2×C5×C4⋊C4C2×D311yescharacteristic
135C2×C22⋊Dic5—31no—
136#4076—38no—
137#4075—316no—
138C4×C22⋊D5—38no—
139C2×#685—32no—
140C2×#685—32no—
141C2×#685—31no—
142C2×#685—32no—
143C2×C4⋊Dic5C2×D311yescharacteristic
144C2×#683—32no—
145C2×#683—31no—
146C2×#683C2×D312yes—
147C2×C4×Dic5C2×D311yescharacteristic
148#4042—316no—
149#4041—38no—
150#4040—316no—
151#4039—38no—
152D5×C4⋊C4—38no—
153#4034C2×D318yescomplemented
154C2×#547—151noSylow
155C23×C3×C5C2411yescharacteristic
156C22×D15—22no—
157C22×D15—22no—
158C22×D15—24no—
159C22×D15—24no—
160C22×D15—24no—
161C22×D15C2×D414yes—
162C22×D15C2414yes—
163C22×D15C2412yes—
164C22×C5×D3—22no—
165C22×C5×D3—22no—
166C22×C5×D3C2×D414yes—
167C22×C5×D3C2412yes—
168C2×C3×C4×C5—24no—
169C2×C3×C4×C5#4114yescomplemented
170C2×C3×C4×C5C2414yes—
171C2×C3×C4×C5C2412yes—
172C2×Dic15—22no—
173C2×Dic15C2412yes—
174D60—216no—
175D60—28no—
176C4×D15—28no—
177C2×C5×Dic3—24no—
178C2×C5×Dic3—22no—
179C2×C5×Dic3C2412yes—
180C2×C5×Dic3C2414yes—
181C4×C5×D3—216no—
182C4×C5×D3—28no—
183C2×C3×Dic5—24no—
184C2×C3×Dic5—22no—
185C2×C3×Dic5C2×D414yes—
186C2×C3×Dic5C2412yes—
187C2×C3×Dic5C2414yes—
188C2×C3×Dic5C2412yes—
189C3×Dic10—216no—
190#1203—216no—
191#1203C2×D4116yescomplemented
192#1200—216no—
193#1200—216no—
194C22×C3×Q8—52no—
195C2×#239—516no—
196C2×#239—1016no—
197C22×D12—51no—
198C22×D12—52no—
199C22×D12—52no—
200C22×D12—51no—
201C22×C4×D3—51no—
202C22×C4×D3—52no—
203C22×C4×D3—52no—
204C22×C4×D3C2×D512yes—
205C22×C4×D3C2×D511yescharacteristic
206C3×C4⋊Q8—58no—
207C2×C3×C4⋊C4—51no—
208C2×C3×C4⋊C4—52no—
209C2×C3×C4⋊C4C2×D511yescharacteristic
210C2×C3×C42—51no—
211#946—516no—
212C2×(C2×D3)⋊C4—51no—
213C2×(C2×D3)⋊C4—52no—
214C2×(C2×D3)⋊C4—52no—
215C2×(C2×D3)⋊C4—51no—
216C2×(C2×D3)⋊C4—52no—
217C2×C4⋊Dic3—51no—
218C2×C4⋊Dic3C2×D511yescharacteristic
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4C2×D512yes—
221#895—58no—
222#895—58no—
223#894—516no—
224#894—516no—
225D3×C4⋊C4—58no—
226D3×C4⋊C4C2×D518yescomplemented
227C4×D12—58no—
228C4×D12—58no—
229C24×C5—31no—
230C23×D5—31no—
231C23×D5—32no—
232C22×C4×C5—32no—
233C22×C4×C5—31no—
234C22×C4×C5—38no—
235C22×C4×C5—34no—
236C22×C4×C5—68no—
237C22×C4×C5—64no—
238C22×C4×C5C22×D312yes—
239C22×C4×C5C22×D311yescharacteristic
240C2×C22⋊D5—38no—
241C2×C22⋊D5—34no—
242C2×C22⋊D5—38no—
243C2×C22⋊D5—68no—
244C22×Dic5—31no—
245C22×Dic5C22×D311yescharacteristic
246C22×Dic5C22×D312yes—
247C22×Dic5C22×D311yescharacteristic
248#709—664no—
249C2×D20—38no—
250C2×D20—34no—
251C2×D20—68no—
252C2×D20—64no—
253C2×C4×D5—34no—
254C2×C4×D5—38no—
255C2×C4×D5—38no—
256C2×C4×D5—68no—
257C2×C4×D5—64no—
258C2×C4×D5—68no—
259C2×Dic10—28no—
260C2×Dic10C22×D318yes—
261C5×C4⋊C4—38no—
262C5×C4⋊C4—34no—
263C5×C4⋊C4C22×D314yes—
264C22⋊Dic5—34no—
265#685—38no—
266#685—38no—
267#685—34no—
268#685—38no—
269C4⋊Dic5C22×D314yes—
270#683—34no—
271#683—38no—
272#683C22×D318yes—
273C4×Dic5C22×D314yes—
274C22×#41—152no—
275#547—1516no—
276C2×C4⋊Q8—51no—
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—31no—
285C22×C4⋊C4—151no—
286C22×C3×C5C22×D412yes—
287C22×C3×C5C2×#4112yes—
288C22×C3×C52−1+412yes—
289C22×C3×C5C2511yescharacteristic
290C2×D15—28no—
291C2×D15—22no—
292C2×D15—22no—
293C2×D15—24no—
294C2×D15—24no—
295C2×D15—24no—
296C2×D15—48no—
297C2×D15C22×D414yes—
298C2×C5×D3—28no—
299C2×C5×D3—22no—
300C2×C5×D3—22no—
301C2×C5×D3C22×D414yes—
302C3×C4×C5—24no—
303C3×C4×C5C2×#4114yescomplemented
304Dic15—22no—
305C3×Dic5—24no—
306C3×Dic5—22no—
307C3×Dic5C22×D414yes—
308C5×Dic3—24no—
309C5×Dic3—22no—
310C23×D3—51no—
311C23×D3—52no—
312C23×D3C22×D511yescharacteristic
313C2×C3×Q8—58no—
314C2×C3×Q8—108no—
315C22×C3×C4—51no—
316C22×C3×C4—52no—
317C22×C3×C4—51no—
318C22×C3×C4C22×D512yes—
319C22×C3×C4C22×D511yescharacteristic
320C22×Dic3—51no—
321C22×Dic3C22×D512yes—
322C22×Dic3C22×D511yescharacteristic
323#239—1064no—
324C2×D12—58no—
325C2×D12—54no—
326C2×D12—58no—
327C2×D12—54no—
328C2×D12—58no—
329C2×D12—108no—
330C2×D12—108no—
331C2×D12—104no—
332C2×C4×D3—28no—
333C2×C4×D3—24no—
334C2×C4×D3—54no—
335C2×C4×D3—58no—
336C2×C4×D3—58no—
337C2×C4×D3—108no—
338C2×C4×D3—108no—
339C2×C4×D3—104no—
340C2×C4×D3C22×D514yes—
341C2×C4×D3C22×D518yes—
342C3×C4⋊C4—58no—
343C3×C4⋊C4—54no—
344C3×C4⋊C4C22×D514yes—
345C3×C42—54no—
346(C2×D3)⋊C4—54no—
347(C2×D3)⋊C4—58no—
348(C2×D3)⋊C4—58no—
349(C2×D3)⋊C4—54no—
350(C2×D3)⋊C4—58no—
351C4⋊Dic3—54no—
352C4⋊Dic3C22×D514yes—
353Dic3⋊C4—58no—
354Dic3⋊C4C22×D518yes—
355C23×C5—34no—
356C23×C5—32no—
357C23×C5—62no—
358C23×C5—62no—
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—24no—
369C2×C4×C5—32no—
370C2×C4×C5—34no—
371C2×C4×C5—616no—
372C2×C4×C5—64no—
373C2×C4×C5—62no—
374C2×C4×C5—68no—
375C2×C4×C5#23914yescomplemented
376C2×C4×C5C23×D314yes—
377C2×C4×C5C23×D312yes—
378C22⋊D5—316no—
379C22⋊D5—616no—
380C2×Dic5—24no—
381C2×Dic5—22no—
382C2×Dic5—32no—
383C2×Dic5—62no—
384C2×Dic5D3×D414yes—
385C2×Dic5C23×D312yes—
386C2×Dic5C23×D314yes—
387C2×Dic5C23×D312yes—
388D20—616no—
389D20—68no—
390C4×D5—616no—
391C4×D5—68no—
392C4×D5—616no—
393Dic10—216no—
394C2×#41—1516no—
395C2×#41—3016no—
396C22×Q8—52no—
397C22×D4—151no—
398C22×D4—152no—
399C22×D4—151no—
400C22×D4—152no—
401C23×C4—31no—
402C23×C4—32no—
403C23×C4—152no—
404C23×C4—152no—
405C23×C4—151no—
406C4⋊Q8—58no—
407#123—1516no—
408#123—1516no—
409C22⋊Q8—1516no—
410#121—158no—
411#121—158no—
412C4×D4—158no—
413C4×D4—158no—
414C2×C4⋊C4—31no—
415C2×C4⋊C4—32no—
416C2×C4⋊C4—38no—
417C2×C4⋊C4—51no—
418C2×C4⋊C4—52no—
419C2×C4⋊C4—158no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—151no—
422C2×C4⋊C4D3×D511yescharacteristic
423C2×C22⋊C4—151no—
424C2×C22⋊C4—152no—
425C2×C22⋊C4—152no—
426C2×C22⋊C4—151no—
427C2×C22⋊C4—152no—
428C2×C42—51no—
429C2×C3×C5#54714yescomplemented
430C2×C3×C5C23×D411yescharacteristic
431C2×C3×C5C22×#4111yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433D15—24no—
434D15—44no—
435C5×D3—24no—
436C23×C3C23×D511yescharacteristic
437C22×D3—22no—
438C22×D3—22no—
439C22×D3—54no—
440C22×D3—52no—
441C22×D3—54no—
442C22×D3—102no—
443C22×D3—102no—
444C22×D3—104no—
445C22×D3—104no—
446C22×D3—104no—
447C22×D3D4×D514yes—
448C22×D3C23×D512yes—
449C3×Q8—1016no—
450C2×C3×C4—24no—
451C2×C3×C4—54no—
452C2×C3×C4—52no—
453C2×C3×C4—54no—
454C2×C3×C4—52no—
455C2×C3×C4—104no—
456C2×C3×C4—102no—
457C2×C3×C4#70914yescomplemented
458C2×C3×C4C23×D514yes—
459C2×C3×C4C23×D512yes—
460C2×Dic3—22no—
461C2×Dic3—24no—
462C2×Dic3—52no—
463C2×Dic3—102no—
464C2×Dic3C23×D514yes—
465C2×Dic3C23×D512yes—
466D12—516no—
467D12—1016no—
468D12—1016no—
469D12—108no—
470C4×D3—216no—
471C4×D3—28no—
472C4×D3—1016no—
473C4×D3—1016no—
474C4×D3—108no—
475C22×C5—34no—
476C22×C5—62no—
477C22×C5—62no—
478C22×C5—68no—
479C22×C5C2×D3×D412yes—
480C22×C5C2×#23912yes—
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—24no—
492C4×C5—64no—
493C4×C5—62no—
494C4×C5C2×#23914yescomplemented
495Dic5—24no—
496Dic5—22no—
497Dic5—62no—
498Dic5C2×D3×D414yes—
499C24—31no—
500C24—151no—
501C24—152no—
502#41—3064no—
503C2×Q8—58no—
504C2×Q8—108no—
505C2×D4—154no—
506C2×D4—158no—
507C2×D4—158no—
508C2×D4—154no—
509C2×D4—158no—
510C2×D4—308no—
511C2×D4—308no—
512C2×D4—304no—
513C22×C4—31no—
514C22×C4—32no—
515C22×C4—34no—
516C22×C4—38no—
517C22×C4—51no—
518C22×C4—51no—
519C22×C4—52no—
520C22×C4—68no—
521C22×C4—64no—
522C22×C4—158no—
523C22×C4—158no—
524C22×C4—151no—
525C22×C4—154no—
526C22×C4—308no—
527C22×C4—308no—
528C22×C4—304no—
529C22×C4C2×D3×D512yes—
530C22×C4C2×D3×D511yescharacteristic
531C4⋊C4—34no—
532C4⋊C4—38no—
533C4⋊C4—54no—
534C4⋊C4—58no—
535C4⋊C4—158no—
536C4⋊C4—154no—
537C4⋊C4C2×D3×D514yes—
538C22⋊C4—154no—
539C22⋊C4—158no—
540C22⋊C4—158no—
541C22⋊C4—154no—
542C22⋊C4—158no—
543C42—54no—
544C3×C5C2×#54711yescharacteristic, complemented, Hall
545C22×C3C2×#70912yes—
546C22×C3C2×D4×D512yes—
547C22×C3#414712yes—
548C22×C3C24×D511yescharacteristic
549C2×D3—28no—
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—54no—
553C2×D3—108no—
554C2×D3—102no—
555C2×D3—102no—
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—208no—
560C2×D3C2×D4×D514yes—
561C3×C4—24no—
562C3×C4—54no—
563C3×C4—104no—
564C3×C4—102no—
565C3×C4C2×#70914yescomplemented
566Dic3—22no—
567Dic3—24no—
568Dic3—102no—
569C2×C5—64no—
570C2×C5#572614yescomplemented
571C2×C5C22×D3×D411yescharacteristic
572C2×C5C22×#23911yescharacteristic
573C2×C5C2×#100711yescharacteristic
574D5—64no—
575D5—124no—
576C23—34no—
577C23—32no—
578C23—62no—
579C23—62no—
580C23—154no—
581C23—152no—
582C23—154no—
583C23—302no—
584C23—302no—
585C23—304no—
586C23—304no—
587C23—304no—
588C23C22×D3×D511yescharacteristic
589Q8—1016no—
590D4—1516no—
591D4—3016no—
592D4—3016no—
593D4—308no—
594C2×C4—24no—
595C2×C4—32no—
596C2×C4—34no—
597C2×C4—54no—
598C2×C4—52no—
599C2×C4—52no—
600C2×C4—54no—
601C2×C4—616no—
602C2×C4—62no—
603C2×C4—64no—
604C2×C4—68no—
605C2×C4—104no—
606C2×C4—102no—
607C2×C4—152no—
608C2×C4—3016no—
609C2×C4—3016no—
610C2×C4—302no—
611C2×C4—308no—
612C2×C4#676914yescomplemented
613C2×C4C22×D3×D514yes—
614C2×C4C22×D3×D512yes—
615C2×C3#6584114yescomplemented
616C2×C3C22×#70911yescharacteristic
617C2×C3C22×D4×D511yescharacteristic
618C2×C3C2×#414711yescharacteristic
619D3—24no—
620D3—104no—
621D3—204no—
622C5C2×#572611yescharacteristic, complemented, Sylow
623C22—34no—
624C22—68no—
625C22—62no—
626C22—62no—
627C22—154no—
628C22—308no—
629C22—302no—
630C22—302no—
631C22—304no—
632C22—304no—
633C22—304no—
634C22—608no—
635C22C2×#676912yes—
636C22D3×D4×D512yes—
637C22#9202912yes—
638C22C23×D3×D511yescharacteristic
639C4—24no—
640C4—54no—
641C4—62no—
642C4—64no—
643C4—104no—
644C4—102no—
645C4—302no—
646C4C2×#676914yescomplemented
647C3C2×#6584111yescharacteristic, complemented, Sylow
648C2—64no—
649C2—304no—
650C2—604no—
651C2#1175334014yesdirect product factor
652C2C22×#676911yescharacteristic
653C2C2×D3×D4×D511yescharacteristic
654C2C2×#9202911yescharacteristic
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×#547
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×#6769C2semidirect
2. C2×#91784C2semidirect
3. C2×C5×D3×C4⋊C4C2semidirect
4. C2×C3×#4034C2semidirect
5. C2×#91460C2semidirect
6. C2×C4×#1203C2semidirect
7. C2×#91437C2semidirect
8. C2×#91433C2semidirect
9. C2×#91418C2semidirect
10. C2×#91411C2semidirect
11. C2×#91351C2semidirect
12. #11753340C2direct (N × H)
25. C2×#6769C22semidirect
28. #91784C22semidirect
31. C5×D3×C4⋊C4C22semidirect
35. C3×#4034C22semidirect
42. #91460C22semidirect
43. C4×#1203C22semidirect
44. #91437C22semidirect
45. #91433C22semidirect
46. #91418C22semidirect
47. #91411C22semidirect
48. #91351C22semidirect
61. C2×#4034D3semidirect
86. C2×#1203D4semidirect
116. C2×D3×C4⋊C4D5semidirect
153. #4034C2×D3semidirect
169. C2×C3×C4×C5#41semidirect
191. #1203C2×D4semidirect
226. D3×C4⋊C4C2×D5semidirect
303. C3×C4×C5C2×#41semidirect
375. C2×C4×C5#239semidirect
429. C2×C3×C5#547semidirect
457. C2×C3×C4#709semidirect
494. C4×C5C2×#239semidirect
544. C3×C5C2×#547semidirect
565. C3×C4C2×#709semidirect
570. C2×C5#5726semidirect
612. C2×C4#6769semidirect
615. C2×C3#65841semidirect
622. C5C2×#5726semidirect
646. C4C2×#6769semidirect
647. C3C2×#65841semidirect
651. C2#11753340direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#67692
C2×#917842
C2×C5×D3×C4⋊C42
C2×C3×#40342
C2×#914602
C2×C4×#12032
C2×#914372
C2×#914332
C2×#914182
C2×#914112
C2×#913512
#117533402
C2×#658413
C2×#57265