Finite Group Databasebeta

← #11805529

Subgroups — #11805529

Order 1152.

1621 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64102C211yesmaximal, characteristic
2C2×#63894C211yesmaximal, characteristic
3C2×#63894C211yesmaximal, characteristic
4C3×#4977C211yesmaximal, characteristic, complemented
5C3×#4972C211yesmaximal, characteristic, complemented
6#10591375C212yesmaximal, complemented
7#10591370C212yesmaximal, complemented
8#10591367C212yesmaximal, complemented
9#10591357C211yesmaximal, characteristic, complemented
10C4×Dic3⋊Dic3C211yesmaximal, characteristic, complemented
11#10591290C212yesmaximal, complemented
12#76203—31nomaximal
13#74228—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C4×C3⋊D3C2212yes—
16C22×#624C2212yes—
17C22×#624C2212yes—
18C2×C32×C4⋊C4C2211yescharacteristic
19C2×#3752C2212yes—
20C2×C4×C3⋊Dic3C2211yescharacteristic
21#64102—24no—
22C2×C3×C4⋊Dic3C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×Dic3⋊C4C2212yes—
25C2×C3×C4×Dic3C2211yescharacteristic
26C2×C3×C4×Dic3C2211yescharacteristic
27C2×Dic3⋊Dic3C2211yescharacteristic
28C2×Dic3⋊Dic3C2211yescharacteristic
29C2×Dic3⋊Dic3C2212yes—
30C2×#3722C2212yes—
31C2×#3722C2212yes—
32#63894—24no—
33#63894C418yescomplemented
34C3×C3⋊#95C2212yes—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37#63579C2212yes—
38#63579C2211yescharacteristic
39#63579C2211yescharacteristic
40C2×#893—31no—
41C2×#893—31no—
42C2×#893—31no—
43C2×#893—31no—
44C2×#893—61no—
45C2×C4×D12—31no—
46C2×C4×D12—31no—
47C3×#389—31no—
48C3×#382—31no—
49#4989—32no—
50#4987—32no—
51#4984—31no—
52#4977D311yescharacteristic, complemented
53#4972—31no—
54#4972D311yescharacteristic, complemented
55C4×C4⋊Dic3—31no—
56C4×Dic3⋊C4—31no—
57#4668—32no—
58#4668—32no—
59#4668—32no—
60#4667—32no—
61D3×#95—32no—
62D3×#95—32no—
63C23×C3⋊D3C2312yes—
64C22×C32×C4C2312yes—
65C22×C32×C4C2311yescharacteristic
66C22×C3⋊Dic3C2311yescharacteristic
67C22×C3⋊Dic3C2311yescharacteristic
68C2×C4⋊(C3⋊D3)C2×C414yes—
69C2×C4⋊(C3⋊D3)D414yes—
70C2×C4⋊(C3⋊D3)Q814yes—
71C2×C4×C3⋊D3—24no—
72C2×C4×C3⋊D3—24no—
73C2×C4×C3⋊D3—42no—
74C22×C3×Dic3C2311yescharacteristic
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2311yescharacteristic
77C22×C3×Dic3C2311yescharacteristic
78C22×C3×Dic3C2312yes—
79C22×C3×Dic3C2311yescharacteristic
80C2×#624—24no—
81C2×#624—24no—
82C2×#624—42no—
83C2×#624—42no—
84C2×#624—42no—
85C2×#624C2×C418yescomplemented
86C32×C4⋊C4—22no—
87#3752—24no—
88C4×C3⋊Dic3—22no—
89C3×C4⋊Dic3—22no—
90C3×C4⋊Dic3C2×C414yescomplemented
91C3×Dic3⋊C4—42no—
92C3×C4×Dic3—22no—
93C3×C4×Dic3C2×C414yescomplemented
94Dic3⋊Dic3—22no—
95Dic3⋊Dic3—22no—
96Dic3⋊Dic3—42no—
97#3722—24no—
98#3722C2×C418yescomplemented
99#2349—91noSylow
100C22×D12—31no—
101C22×D12—31no—
102C22×D12—61no—
103C22×C4×D3—32no—
104C22×C4×D3—32no—
105C22×C4×D3—32no—
106C22×C4×D3—32no—
107C22×C4×D3—32no—
108C22×C4×D3—32no—
109C22×C4×D3—62no—
110C2×C3×C4⋊C4—21no—
111C2×C3×C4⋊C4—31no—
112C2×C3×C4⋊C4—31no—
113C2×C3×C4⋊C4—32no—
114C2×C3×C4⋊C4C2×D311yescharacteristic
115C2×C3×C4⋊C4C2×D311yescharacteristic
116C2×C3×C42—31no—
117C2×C3×C42—31no—
118C2×(C2×D3)⋊C4—32no—
119C2×(C2×D3)⋊C4—32no—
120C2×(C2×D3)⋊C4—32no—
121C2×(C2×D3)⋊C4—32no—
122C2×(C2×D3)⋊C4—32no—
123C2×(C2×D3)⋊C4—32no—
124C2×(C2×D3)⋊C4—62no—
125C2×C4⋊Dic3—31no—
126C2×C4⋊Dic3—31no—
127C2×C4⋊Dic3—32no—
128C2×C4⋊Dic3C2×D311yescharacteristic
129C2×C4⋊Dic3C2×D311yescharacteristic
130C2×Dic3⋊C4—31no—
131C2×Dic3⋊C4—31no—
132C2×Dic3⋊C4—32no—
133C2×Dic3⋊C4C2×D312yes—
134C2×C4×Dic3—31no—
135C2×C4×Dic3—31no—
136C2×C4×Dic3—61no—
137C2×C4×Dic3C2×D311yescharacteristic
138C2×C4×Dic3C2×D311yescharacteristic
139#893—38no—
140#893—64no—
141#893—64no—
142#893—64no—
143#893—68no—
144C4×D12—38no—
145C4×D12—64no—
146C3×#95—32no—
147C3×#95—32no—
148C3×#95—32no—
149C3⋊#95—31no—
150C3⋊#95—31no—
151C3⋊#95—32no—
152C3⋊#95—32no—
153C3⋊#95—31no—
154C3⋊#95—31no—
155C3⋊#95C2×D312yes—
156C3⋊#95C2×D312yes—
157C3⋊#95C2×D312yes—
158C23×C32C2411yescharacteristic
159C22×C3⋊D3—22no—
160C22×C3⋊D3—22no—
161C22×C3⋊D3—22no—
162C22×C3⋊D3—22no—
163C22×C3⋊D3C22×C414yes—
164C22×C3⋊D3C2×D414yes—
165C22×C3⋊D3C2×Q814yes—
166C2×C32×C4—22no—
167C2×C32×C4—22no—
168C2×C32×C4—22no—
169C2×C32×C4C22×C412yes—
170C2×C32×C4C2×D412yes—
171C2×C32×C4C2×Q812yes—
172C2×C3⋊Dic3—21no—
173C2×C3⋊Dic3—21no—
174C2×C3⋊Dic3—21no—
175C2×C3⋊Dic3—21no—
176C2×C3⋊Dic3—21no—
177C2×C3⋊Dic3#4112yes—
178C4⋊(C3⋊D3)C4⋊C4116yescomplemented
179C4×C3⋊D3—48no—
180C2×C3×Dic3—21no—
181C2×C3×Dic3—21no—
182C2×C3×Dic3—21no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—22no—
185C2×C3×Dic3—21no—
186C2×C3×Dic3—21no—
187C2×C3×Dic3—21no—
188C2×C3×Dic3—21no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—21no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—21no—
194C2×C3×Dic3C22×C412yes—
195C2×C3×Dic3C22×C414yes—
196C2×C3×Dic3C22×C412yes—
197C2×C3×Dic3#4112yes—
198#624—48no—
199#624—48no—
200C2×C4×D4—91no—
201C2×C4×D4—91no—
202C2×C4×D4—91no—
203#389—31no—
204#389—91no—
205#385—92no—
206#385—92no—
207#382—31no—
208#380—92no—
209C4×C4⋊C4—91no—
210C2×#95—92no—
211C23×D3—32no—
212C23×D3—32no—
213C23×D3—62no—
214C22×C3×C4—21no—
215C22×C3×C4—22no—
216C22×C3×C4—31no—
217C22×C3×C4—31no—
218C22×C3×C4—32no—
219C22×C3×C4—31no—
220C22×C3×C4—32no—
221C22×C3×C4—31no—
222C22×C3×C4C22×D312yes—
223C22×C3×C4C22×D312yes—
224C22×C3×C4C22×D311yescharacteristic
225C22×C3×C4C22×D311yescharacteristic
226C22×Dic3—31no—
227C22×Dic3—31no—
228C22×Dic3—31no—
229C22×Dic3—31no—
230C22×Dic3—61no—
231C22×Dic3—61no—
232C22×Dic3C22×D312yes—
233C22×Dic3C22×D311yescharacteristic
234C22×Dic3C22×D311yescharacteristic
235C22×Dic3C22×D312yes—
236C22×Dic3C22×D311yescharacteristic
237C22×Dic3C22×D311yescharacteristic
238C2×D12—34no—
239C2×D12—34no—
240C2×D12—34no—
241C2×D12—34no—
242C2×D12—34no—
243C2×D12—34no—
244C2×D12—64no—
245C2×D12—64no—
246C2×D12—64no—
247C2×C4×D3—38no—
248C2×C4×D3—38no—
249C2×C4×D3—64no—
250C2×C4×D3—64no—
251C2×C4×D3—64no—
252C2×C4×D3—64no—
253C2×C4×D3—64no—
254C2×C4×D3—64no—
255C2×C4×D3—64no—
256C2×C4×D3—68no—
257C2×C4×D3—64no—
258C2×C4×D3—124no—
259C2×C4×D3—122no—
260C2×C4×D3—122no—
261C2×C4×D3—122no—
262C2×C4×D3—122no—
263C2×C4×D3—122no—
264C2×C4×D3—122no—
265C2×C4×D3—122no—
266C2×C4×D3—122no—
267C2×C4×D3—124no—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—22no—
270C3×C4⋊C4—22no—
271C3×C4⋊C4—34no—
272C3×C4⋊C4—62no—
273C3×C4⋊C4—122no—
274C3×C42—34no—
275C3×C42—62no—
276(C2×D3)⋊C4—38no—
277(C2×D3)⋊C4—38no—
278(C2×D3)⋊C4—64no—
279(C2×D3)⋊C4—64no—
280(C2×D3)⋊C4—64no—
281(C2×D3)⋊C4—64no—
282(C2×D3)⋊C4—68no—
283C4⋊Dic3—22no—
284C4⋊Dic3—62no—
285C4⋊Dic3—62no—
286C4⋊Dic3—122no—
287C4⋊Dic3C4×D314yescomplemented
288Dic3⋊C4—42no—
289Dic3⋊C4—62no—
290Dic3⋊C4—62no—
291Dic3⋊C4—122no—
292C4×Dic3—22no—
293C4×Dic3—64no—
294C4×Dic3—62no—
295C4×Dic3—62no—
296C4×Dic3C4×D314yescomplemented
297C22×C32C23×C411yescharacteristic
298C22×C32C22×D411yescharacteristic
299C22×C32C22×Q811yescharacteristic
300C22×C32C2×#4111yescharacteristic
301C22×C32C2×#4111yescharacteristic
302C22×C32H(5,𝔽2)11yescharacteristic
303C22×C32H(5,𝔽2)11yescharacteristic
304C2×C3⋊D3—24no—
305C2×C3⋊D3—24no—
306C2×C3⋊D3—24no—
307C2×C3⋊D3—24no—
308C2×C3⋊D3—24no—
309C2×C3⋊D3—24no—
310C2×C3⋊D3C2×C4⋊C418yes—
311C32×C4—42no—
312C32×C4C2×C4⋊C414yes—
313C3⋊Dic3—22no—
314C3⋊Dic3—41no—
315C3×Dic3—22no—
316C3×Dic3—22no—
317C3×Dic3—24no—
318C3×Dic3—22no—
319C3×Dic3—42no—
320C3×Dic3—41no—
321C22×D4—91no—
322C23×C4—92no—
323C23×C4—92no—
324C23×C4—92no—
325C4×D4—98no—
326C4×D4—184no—
327C4×D4—184no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—32no—
331C2×C4⋊C4—91no—
332C2×C4⋊C4—91no—
333C2×C4⋊C4—92no—
334C2×C4⋊C4D3211yescharacteristic
335C2×C22⋊C4—92no—
336C2×C22⋊C4—92no—
337C2×C22⋊C4—92no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—91no—
341#95—32no—
342#95—32no—
343#95—32no—
344#95—91no—
345#95—92no—
346#95—91no—
347C23×C3—21no—
348C23×C3C23×D311yescharacteristic
349C23×C3C23×D311yescharacteristic
350C22×D3—34no—
351C22×D3—34no—
352C22×D3—34no—
353C22×D3—34no—
354C22×D3—34no—
355C22×D3—34no—
356C22×D3—64no—
357C22×D3—64no—
358C22×D3—64no—
359C22×D3—62no—
360C22×D3—62no—
361C22×D3—62no—
362C22×D3—62no—
363C22×D3—62no—
364C22×D3—62no—
365C22×D3—62no—
366C22×D3—62no—
367C22×D3—122no—
368C22×D3—122no—
369C22×D3—122no—
370C22×D3—122no—
371C2×C3×C4—24no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—32no—
382C2×C3×C4—34no—
383C2×C3×C4—32no—
384C2×C3×C4—32no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—61no—
388C2×C3×C4—61no—
389C2×C3×C4—61no—
390C2×C3×C4—61no—
391C2×C3×C4—62no—
392C2×C3×C4—62no—
393C2×C3×C4—61no—
394C2×C3×C4—61no—
395C2×C3×C4—61no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—61no—
399C2×C3×C4—62no—
400C2×C3×C4—61no—
401C2×C3×C4C2×C4×D312yes—
402C2×C3×C4C2×C4×D312yes—
403C2×C3×C4D3×D412yes—
404C2×C3×C4D3×D412yes—
405C2×C3×C4D3×Q812yes—
406C2×C3×C4D3×Q812yes—
407C2×Dic3—21no—
408C2×Dic3—22no—
409C2×Dic3—21no—
410C2×Dic3—21no—
411C2×Dic3—22no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—22no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—32no—
422C2×Dic3—32no—
423C2×Dic3—62no—
424C2×Dic3—62no—
425C2×Dic3—62no—
426C2×Dic3—61no—
427C2×Dic3—61no—
428C2×Dic3—61no—
429C2×Dic3—61no—
430C2×Dic3—62no—
431C2×Dic3—61no—
432C2×Dic3—61no—
433C2×Dic3—61no—
434C2×Dic3—61no—
435C2×Dic3—61no—
436C2×Dic3—61no—
437C2×Dic3—121no—
438C2×Dic3—121no—
439C2×Dic3C2×C4×D312yes—
440C2×Dic3C2×C4×D312yes—
441C2×Dic3C2×C4×D314yes—
442C2×Dic3#23912yes—
443D12—316no—
444D12—316no—
445D12—616no—
446C4×D3—128no—
447C4×D3—128no—
448C4×D3—128no—
449C4×D3—128no—
450C4×D3—128no—
451C4×D3—128no—
452C4×D3—1216no—
453C2×C32C22×C4⋊C411yescharacteristic
454C2×C32C4×#4111yescharacteristic
455C2×C32#51811yescharacteristic
456C2×C32#54611yescharacteristic
457C2×C32#54611yescharacteristic
458C2×C32#55411yescharacteristic
459C2×C32#55411yescharacteristic
460C3⋊D3—28no—
461C24—92no—
462C2×D4—94no—
463C2×D4—94no—
464C2×D4—94no—
465C22×C4—31no—
466C22×C4—31no—
467C22×C4—31no—
468C22×C4—32no—
469C22×C4—32no—
470C22×C4—31no—
471C22×C4—98no—
472C22×C4—91no—
473C22×C4—91no—
474C22×C4—184no—
475C22×C4—184no—
476C22×C4—184no—
477C22×C4—184no—
478C22×C4—362no—
479C22×C4—362no—
480C22×C4—362no—
481C22×C4—362no—
482C22×C4C2×D3212yes—
483C22×C4C2×D3211yescharacteristic
484C4⋊C4—22no—
485C4⋊C4—34no—
486C4⋊C4—62no—
487C4⋊C4—122no—
488C4⋊C4—182no—
489C4⋊C4—182no—
490C4⋊C4—362no—
491C22⋊C4—98no—
492C22⋊C4—184no—
493C22⋊C4—184no—
494C42—34no—
495C42—62no—
496C42—182no—
497C22×C3—21no—
498C22×C3—21no—
499C22×C3—21no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—21no—
503C22×C3—21no—
504C22×C3C22×C4×D311yescharacteristic
505C22×C3C22×C4×D311yescharacteristic
506C22×C3C2×D3×D411yescharacteristic
507C22×C3C2×D3×D411yescharacteristic
508C22×C3#100411yescharacteristic
509C22×C3C2×D3×Q811yescharacteristic
510C22×C3C2×D3×Q811yescharacteristic
511C22×C3C2×#23911yescharacteristic
512C22×C3D3×#4111yescharacteristic
513C22×C3D3×#4111yescharacteristic
514C22×C3D3×#4111yescharacteristic
515C22×C3#100911yescharacteristic
516C22×C3#100911yescharacteristic
517C22×C3#100911yescharacteristic
518C2×D3—38no—
519C2×D3—38no—
520C2×D3—68no—
521C2×D3—64no—
522C2×D3—64no—
523C2×D3—64no—
524C2×D3—64no—
525C2×D3—64no—
526C2×D3—64no—
527C2×D3—64no—
528C2×D3—64no—
529C2×D3—64no—
530C2×D3—64no—
531C2×D3—64no—
532C2×D3—64no—
533C2×D3—124no—
534C2×D3—124no—
535C2×D3—124no—
536C2×D3—124no—
537C2×D3—124no—
538C2×D3—124no—
539C3×C4—24no—
540C3×C4—44no—
541C3×C4—42no—
542C3×C4—42no—
543C3×C4—62no—
544C3×C4—64no—
545C3×C4—62no—
546C3×C4—62no—
547C3×C4—121no—
548C3×C4—122no—
549C3×C4D3×C4⋊C414yes—
550C3×C4D3×C4⋊C414yes—
551Dic3—22no—
552Dic3—22no—
553Dic3—24no—
554Dic3—22no—
555Dic3—42no—
556Dic3—41no—
557Dic3—64no—
558Dic3—62no—
559Dic3—62no—
560Dic3—122no—
561Dic3—121no—
562Dic3—121no—
563C32#234911yescharacteristic, complemented, Sylow
564C23—94no—
565C23—94no—
566C23—94no—
567C23—182no—
568C23—182no—
569C23—182no—
570C23—182no—
571C23C22×D3211yescharacteristic
572D4—916no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—32no—
577C2×C4—32no—
578C2×C4—34no—
579C2×C4—32no—
580C2×C4—61no—
581C2×C4—62no—
582C2×C4—61no—
583C2×C4—61no—
584C2×C4—62no—
585C2×C4—61no—
586C2×C4—61no—
587C2×C4—61no—
588C2×C4—61no—
589C2×C4—61no—
590C2×C4—62no—
591C2×C4—62no—
592C2×C4—61no—
593C2×C4—62no—
594C2×C4—92no—
595C2×C4—181no—
596C2×C4—181no—
597C2×C4—181no—
598C2×C4—181no—
599C2×C4—181no—
600C2×C4—368no—
601C2×C4—368no—
602C2×C4—368no—
603C2×C4#379712yes—
604C2×C4C4×D3212yes—
605C2×C4#381112yes—
606C2×C3—21no—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—21no—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3C2×D3×C4⋊C411yescharacteristic
614C2×C3C2×D3×C4⋊C411yescharacteristic
615C2×C3#552111yescharacteristic
616C2×C3#552211yescharacteristic
617C2×C3#554511yescharacteristic
618C2×C3C4×#23911yescharacteristic
619C2×C3#561211yescharacteristic
620C2×C3#563011yescharacteristic
621C2×C3#567611yescharacteristic
622C2×C3#567611yescharacteristic
623C2×C3#569011yescharacteristic
624C2×C3#569011yescharacteristic
625C2×C3#569011yescharacteristic
626C2×C3#573011yescharacteristic
627D3—68no—
628D3—68no—
629D3—128no—
630C22—98no—
631C22—184no—
632C22—184no—
633C22—184no—
634C22—184no—
635C22—184no—
636C22—184no—
637C22C2×#379711yescharacteristic
638C22C2×C4×D3211yescharacteristic
639C22#6431211yescharacteristic
640C22#6431411yescharacteristic
641C22D3×#23911yescharacteristic
642C22#6432011yescharacteristic
643C22C2×#381111yescharacteristic
644C4—42no—
645C4—62no—
646C4—64no—
647C4—62no—
648C4—62no—
649C4—122no—
650C4—121no—
651C4—182no—
652C4—361no—
653C4#6388314yes—
654C3—21no—
655C3#7422811yescharacteristic, complemented
656C3#7620311yescharacteristic, complemented
657C2—188no—
658C2#1059436211yescharacteristic
659C2#1059447011yescharacteristic
660C2#1059448411yescharacteristic
661C2#1059460411yescharacteristic
662C2C2×#6388311yescharacteristic
663C2#1059524311yescharacteristic
664C2#1059543111yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC2×C32×C4⋊C4C22
socle, cosocleC23×C32C24
prime radicalC22×C4⋊(C3⋊D3)C22
hypercenterC2×C4⋊C4D32
hypocenterC32#2349
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. C3×#4977C2semidirect
5. C3×#4972C2semidirect
6. #10591375C2semidirect
7. #10591370C2semidirect
8. #10591367C2semidirect
9. #10591357C2semidirect
10. C4×Dic3⋊Dic3C2semidirect
11. #10591290C2semidirect
33. #63894C4semidirect
52. #4977D3semidirect
54. #4972D3semidirect
85. C2×#624C2×C4semidirect
90. C3×C4⋊Dic3C2×C4semidirect
93. C3×C4×Dic3C2×C4semidirect
98. #3722C2×C4semidirect
178. C4⋊(C3⋊D3)C4⋊C4semidirect
287. C4⋊Dic3C4×D3semidirect
296. C4×Dic3C4×D3semidirect
563. C32#2349semidirect
655. C3#74228semidirect
656. C3#76203semidirect

Maximal subgroups

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

subgroupindex
C2×#641022
C2×#638942
C3×#49772
C3×#49722
#105913752
#105913702
#105913672
#105913572
C4×Dic3⋊Dic32
#105912902
#762033
#742283