Finite Group Databasebeta

← #13155600

Subgroups — #13155600

Order 1728.

754 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
1C4×#6291C211yesmaximal, characteristic
2C2×#88788C211yesmaximal, characteristic, complemented
3C2×C3×#3711C211yesmaximal, characteristic, complemented
4#11722078C211yesmaximal, characteristic, complemented
5#11722024C211yesmaximal, characteristic, complemented
6C3×(C2×D3)⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
7C3×#63553C211yesmaximal, characteristic, complemented
8#10591051—31nomaximal
9#10590730—31nomaximal
10#10590729—31nomaximal
11C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
12C2×C32×C4×D3C2211yescharacteristic
13C2×#6291C411yescharacteristic
14C3×C4×C3⋊Dic3C2211yescharacteristic
15C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
16C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
17C2×C32×C3⋊C8C2211yescharacteristic
18C2×C32×C3⋊C8C2211yescharacteristic
19#88807C411yescharacteristic
20#88804C411yescharacteristic
21(C2×D3)⋊(C3⋊Dic3)C411yescharacteristic
22#88788—22no—
23C3×#3711—22no—
24C4×#638—31no—
25C2×#3743—31no—
26C2×C3×#208—31no—
27C2×C3×ΓL(1,𝔽25)—31no—
28C4×#626—31no—
29C4×#626—31no—
30C4×#626—61no—
31C2×#3712—31no—
32C2×#3712—31no—
33C2×#3712—61no—
34C2×#3711D311yescharacteristic, complemented
35#63647—31no—
36C3×#830—31no—
37C3×(C2×D3)⋊C8—31no—
38C3×C8×Dic3—31no—
39C3×C8×Dic3—31no—
40#63572—31no—
41Dic3⋊(C3⋊C8)—31no—
42Dic3⋊(C3⋊C8)—31no—
43#63557—31no—
44#63557—31no—
45#63557—61no—
46(C2×D3)⋊(C3⋊C8)D311yescharacteristic, complemented
47#63553D311yescharacteristic, complemented
48C22×C3⋊(C3⋊D3)C2×C411yescharacteristic
49C22×C32×D3C2×C411yescharacteristic
50C2×C33×C4C2311yescharacteristic
51C2×C3⋊(C3⋊Dic3)C2×C411yescharacteristic
52C4×C3⋊(C3⋊D3)—21no—
53C4×C3⋊(C3⋊D3)—21no—
54C2×C3×C3⋊Dic3C2×C411yescharacteristic
55C2×C3×C3⋊Dic3C2×C411yescharacteristic
56C2×C32×Dic3C2×C411yescharacteristic
57C32×C4×D3—21no—
58C32×C4×D3—21no—
59#6291—22no—
60C3×C3⋊(C3⋊C8)—21no—
61C3×C3⋊(C3⋊C8)—21no—
62C32×C3⋊C8—21no—
63C32×C3⋊C8D412yescomplemented
64#5128—91no—
65#4729—91no—
66#4688—91no—
67C22×C32×C4—31no—
68C2×#638—31no—
69C2×C4×C3⋊D3—31no—
70C2×C4×C3⋊D3—31no—
71C2×C4×C3⋊D3—31no—
72C2×C4×C3⋊D3—61no—
73C2×C4×C3⋊D3—61no—
74C2×C4×C3⋊D3—61no—
75C2×C4×C3⋊D3—121no—
76C2×C3×C4×D3—21no—
77C2×C3×C4×D3C2×D311yescharacteristic
78C2×C3×C4×D3C2×D311yescharacteristic
79C2×#626—31no—
80C2×#626—31no—
81C2×#626—61no—
82C2×C32×C8—31no—
83C2×C32×C8—31no—
84#3757—31no—
85#3752—31no—
86#3750—31no—
87C4×C3⋊Dic3C2×D311yescharacteristic
88C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
89C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
90#3743—62no—
91C3×C4×Dic3—31no—
92C3×C4×Dic3—31no—
93C3×C4×Dic3—61no—
94C3×#208—62no—
95C2×C3×C3⋊C8—21no—
96C2×C3×C3⋊C8—21no—
97C2×C3×C3⋊C8—31no—
98C2×C3×C3⋊C8—31no—
99C2×C3×C3⋊C8—31no—
100C2×C3×C3⋊C8—31no—
101C2×C3×C3⋊C8—61no—
102C2×C3×C3⋊C8—61no—
103C2×C3×C3⋊C8C2×D311yescharacteristic
104C2×C3×C3⋊C8C2×D311yescharacteristic
105C2×C3×C3⋊C8C2×D311yescharacteristic
106C2×C3×C3⋊C8C2×D311yescharacteristic
107C3×ΓL(1,𝔽25)—62no—
108Dic3⋊Dic3—31no—
109Dic3⋊Dic3—31no—
110Dic3⋊Dic3—61no—
111#3722—31no—
112#3722—31no—
113#3722—61no—
114(C2×D3)⋊Dic3—31no—
115(C2×D3)⋊Dic3—31no—
116(C2×D3)⋊Dic3—61no—
117#3712—64no—
118#3712—62no—
119#3712—62no—
120#3711—22no—
121C22×C33C22×C411yescharacteristic
122C2×C3⋊(C3⋊D3)—21no—
123C2×C3⋊(C3⋊D3)—21no—
124C2×C3⋊(C3⋊D3)—21no—
125C2×C32×D3—21no—
126C2×C32×D3—21no—
127C2×C32×D3—21no—
128C33×C4C2×D411yescharacteristic
129C33×C4#4111yescharacteristic
130C3⋊(C3⋊Dic3)—21no—
131C3×C3⋊Dic3—21no—
132C3×C3⋊Dic3M1612yescomplemented
133C32×Dic3—21no—
134C2×C3×M16—91no—
135C4×#67—91no—
136C4×#67—91no—
137C4×#67—181no—
138C2×#208—31no—
139C2×ΓL(1,𝔽25)—31no—
140C2×ΓL(1,𝔽25)—91no—
141C2×ΓL(1,𝔽25)—91no—
142C2×ΓL(1,𝔽25)—91no—
143C2×ΓL(1,𝔽25)—181no—
144C4×D12—91no—
145C3×C22⋊C8—91no—
146C3×C4×C8—91no—
147#830—31no—
148(C2×D3)⋊C8—31no—
149(C2×D3)⋊C8—91no—
150(C2×D3)⋊C8—91no—
151(C2×D3)⋊C8—91no—
152(C2×D3)⋊C8—181no—
153Dic3⋊C8—91no—
154Dic3⋊C8—91no—
155C8×Dic3—31no—
156C8×Dic3—31no—
157C4⋊(C3⋊C8)—91no—
158C23×C32—31no—
159C22×C3⋊D3—31no—
160C22×C3⋊D3—31no—
161C22×C3⋊D3—31no—
162C22×C3⋊D3—61no—
163C22×C3⋊D3—61no—
164C22×C3⋊D3—61no—
165C22×C3⋊D3—121no—
166C22×C3×D3—21no—
167C22×C3×D3C4×D311yescharacteristic
168C22×C3×D3C4×D311yescharacteristic
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—31no—
173C2×C32×C4—41no—
174C2×C32×C4—61no—
175C2×C32×C4—61no—
176C2×C32×C4C22×D311yescharacteristic
177C2×C32×C4C22×D311yescharacteristic
178C2×C32×C4C22×D311yescharacteristic
179#638—62no—
180C2×C3⋊Dic3—31no—
181C2×C3⋊Dic3—31no—
182C2×C3⋊Dic3—31no—
183C2×C3⋊Dic3—61no—
184C2×C3⋊Dic3—61no—
185C2×C3⋊Dic3—61no—
186C2×C3⋊Dic3—121no—
187C2×C3⋊Dic3C4×D311yescharacteristic
188C2×C3⋊Dic3C4×D311yescharacteristic
189C4×C3⋊D3—61no—
190C4×C3⋊D3—61no—
191C4×C3⋊D3—62no—
192C4×C3⋊D3—62no—
193C4×C3⋊D3—61no—
194C4×C3⋊D3—61no—
195C4×C3⋊D3—61no—
196C4×C3⋊D3—61no—
197C4×C3⋊D3—121no—
198C4×C3⋊D3—121no—
199C4×C3⋊D3—121no—
200C4×C3⋊D3—121no—
201C4×C3⋊D3—122no—
202C4×C3⋊D3—122no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—31no—
205C2×C3×Dic3—31no—
206C2×C3×Dic3—31no—
207C2×C3×Dic3—31no—
208C2×C3×Dic3—61no—
209C2×C3×Dic3—61no—
210C2×C3×Dic3C4×D311yescharacteristic
211C2×C3×Dic3C4×D311yescharacteristic
212C3×C4×D3—21no—
213C3×C4×D3—21no—
214C3×C4×D3—21no—
215C3×C4×D3—21no—
216C3×C4×D3—41no—
217C3×C4×D3—41no—
218#626—62no—
219#626—62no—
220#626—64no—
221C32×C8—32no—
222C32×C8—61no—
223C3⋊(C3⋊C8)—21no—
224C3⋊(C3⋊C8)—21no—
225C3×C3⋊C8—21no—
226C3×C3⋊C8—21no—
227C3×C3⋊C8—22no—
228C3×C3⋊C8—41no—
229C3×C3⋊C8—62no—
230C3×C3⋊C8—61no—
231C3×C3⋊C8—61no—
232C3×C3⋊C8—61no—
233C3×C3⋊C8—61no—
234C3×C3⋊C8—121no—
235C3×C3⋊C8D1212yescomplemented
236C3×C3⋊C8#6712yescomplemented
237#436—271noSylow
238C2×C33C4×D411yescharacteristic
239C2×C33C2×M1611yescharacteristic
240C2×C33#13111yescharacteristic
241C3⋊(C3⋊D3)—41no—
242C32×D3—41no—
243C22×C3×C4—31no—
244C22×C3×C4—31no—
245C22×C3×C4—61no—
246C2×#67—91no—
247C2×#67—91no—
248C2×#67—181no—
249C2×D12—91no—
250C2×C4×D3—91no—
251C2×C4×D3—91no—
252C2×C4×D3—91no—
253C2×C4×D3—181no—
254C2×C4×D3—181no—
255C2×C4×D3—181no—
256C2×C4×D3—361no—
257C2×C4×D3D3211yescharacteristic
258C3×M16—182no—
259C2×C3×C8—31no—
260C2×C3×C8—31no—
261C2×C3×C8—31no—
262C2×C3×C8—31no—
263C2×C3×C8—61no—
264C2×C3×C8—61no—
265C2×C3×C8—91no—
266C2×C3×C8—91no—
267C3×C42—91no—
268#217—91no—
269#217—91no—
270#217—181no—
271(C2×D3)⋊C4—91no—
272(C2×D3)⋊C4—91no—
273(C2×D3)⋊C4—91no—
274(C2×D3)⋊C4—91no—
275(C2×D3)⋊C4—181no—
276C4⋊Dic3—91no—
277Dic3⋊C4—91no—
278Dic3⋊C4—91no—
279Dic3⋊C4—181no—
280C4×Dic3—31no—
281C4×Dic3—31no—
282C4×Dic3—61no—
283#208—62no—
284C2×C3⋊C8—31no—
285C2×C3⋊C8—31no—
286C2×C3⋊C8—31no—
287C2×C3⋊C8—31no—
288C2×C3⋊C8—61no—
289C2×C3⋊C8—61no—
290C2×C3⋊C8D3211yescharacteristic
291C2×C3⋊C8D3211yescharacteristic
292ΓL(1,𝔽25)—62no—
293ΓL(1,𝔽25)—182no—
294ΓL(1,𝔽25)—182no—
295ΓL(1,𝔽25)—184no—
296ΓL(1,𝔽25)—182no—
297C22×C32—21no—
298C22×C32—21no—
299C22×C32—21no—
300C22×C32—41no—
301C22×C32—61no—
302C22×C32—61no—
303C22×C32—61no—
304C22×C32C2×C4×D311yescharacteristic
305C22×C32C2×C4×D311yescharacteristic
306C22×C32C2×C4×D311yescharacteristic
307C2×C3⋊D3—61no—
308C2×C3⋊D3—61no—
309C2×C3⋊D3—61no—
310C2×C3⋊D3—62no—
311C2×C3⋊D3—62no—
312C2×C3⋊D3—62no—
313C2×C3⋊D3—61no—
314C2×C3⋊D3—61no—
315C2×C3⋊D3—61no—
316C2×C3⋊D3—61no—
317C2×C3⋊D3—61no—
318C2×C3⋊D3—61no—
319C2×C3⋊D3—121no—
320C2×C3⋊D3—121no—
321C2×C3⋊D3—121no—
322C2×C3⋊D3—121no—
323C2×C3⋊D3—121no—
324C2×C3⋊D3—121no—
325C2×C3⋊D3—122no—
326C2×C3⋊D3—122no—
327C2×C3⋊D3—122no—
328C2×C3×D3—22no—
329C2×C3×D3—21no—
330C2×C3×D3—21no—
331C2×C3×D3—21no—
332C2×C3×D3—21no—
333C2×C3×D3—21no—
334C2×C3×D3—21no—
335C2×C3×D3—41no—
336C2×C3×D3—41no—
337C32×C4—21no—
338C32×C4—21no—
339C32×C4—21no—
340C32×C4—21no—
341C32×C4—21no—
342C32×C4—21no—
343C32×C4—41no—
344C32×C4—41no—
345C32×C4—61no—
346C32×C4C2×D1211yescharacteristic
347C32×C4#23511yescharacteristic
348C32×C4#23511yescharacteristic
349C32×C4D3×D411yescharacteristic
350C32×C4#23711yescharacteristic
351C32×C4C2×#6711yescharacteristic
352C3⋊Dic3—21no—
353C3⋊Dic3—61no—
354C3⋊Dic3—62no—
355C3⋊Dic3—61no—
356C3⋊Dic3—61no—
357C3⋊Dic3—121no—
358C3⋊Dic3—121no—
359C3⋊Dic3—122no—
360C3⋊Dic3ΓL(1,𝔽25)12yescomplemented
361C3×Dic3—21no—
362C3×Dic3—21no—
363C3×Dic3—32no—
364C3×Dic3—32no—
365C3×Dic3—41no—
366C3×Dic3—62no—
367C3×Dic3—61no—
368C3×Dic3—61no—
369C3×Dic3—121no—
370C2×M16—91no—
371C2×M16—271no—
372C4×D4—271no—
373C4⋊C8—271no—
374C22⋊C8—91no—
375C22⋊C8—271no—
376C4×C8—91no—
377C33#43611yescharacteristic, complemented, Sylow
378C23×C3—31no—
379C23×C3—31no—
380C23×C3—61no—
381C22×D3—91no—
382C22×D3—91no—
383C22×D3—91no—
384C22×D3—181no—
385C22×D3—181no—
386C22×D3—181no—
387C22×D3—361no—
388C22×D3#62411yescharacteristic
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—31no—
393C2×C3×C4—31no—
394C2×C3×C4—41no—
395C2×C3×C4—61no—
396C2×C3×C4—61no—
397C2×C3×C4—61no—
398C2×C3×C4—61no—
399C2×C3×C4—61no—
400C2×C3×C4—91no—
401C2×C3×C4—91no—
402C2×C3×C4—121no—
403C2×C3×C4—121no—
404C2×C3×C4C2×D3211yescharacteristic
405C2×C3×C4C2×D3211yescharacteristic
406C2×C3×C4C2×D3211yescharacteristic
407#67—182no—
408#67—182no—
409#67—184no—
410C2×Dic3—31no—
411C2×Dic3—31no—
412C2×Dic3—31no—
413C2×Dic3—31no—
414C2×Dic3—61no—
415C2×Dic3—61no—
416C2×Dic3—91no—
417C2×Dic3—91no—
418C2×Dic3—91no—
419C2×Dic3—181no—
420C2×Dic3—181no—
421C2×Dic3—181no—
422C2×Dic3—361no—
423C2×Dic3#62411yescharacteristic
424D12—182no—
425C4×D3—21no—
426C4×D3—21no—
427C4×D3—182no—
428C4×D3—182no—
429C4×D3—181no—
430C4×D3—181no—
431C4×D3—181no—
432C4×D3—181no—
433C4×D3—181no—
434C4×D3—181no—
435C4×D3—361no—
436C4×D3—361no—
437C4×D3—361no—
438C4×D3—361no—
439C4×D3—362no—
440C4×D3—362no—
441C3×C8—32no—
442C3×C8—32no—
443C3×C8—62no—
444C3×C8—61no—
445C3×C8—61no—
446C3×C8—121no—
447C3×C8—181no—
448C3×C8—181no—
449C3⋊C8—21no—
450C3⋊C8—62no—
451C3⋊C8—61no—
452C3⋊C8—61no—
453C3⋊C8—61no—
454C3⋊C8—61no—
455C3⋊C8—121no—
456C3⋊C8#62612yescomplemented
457C2×C32—21no—
458C2×C32—21no—
459C2×C32—21no—
460C2×C32—21no—
461C2×C32—21no—
462C2×C32—21no—
463C2×C32—21no—
464C2×C32—21no—
465C2×C32—21no—
466C2×C32—41no—
467C2×C32—41no—
468C2×C32—41no—
469C2×C32—121no—
470C2×C32C4×D1211yescharacteristic
471C2×C32#67⋊C411yescharacteristic
472C2×C32C2×ΓL(1,𝔽25)11yescharacteristic
473C2×C32#90111yescharacteristic
474C2×C32#90111yescharacteristic
475C2×C32D3×M1611yescharacteristic
476C2×C32D3×M1611yescharacteristic
477C2×C32#90711yescharacteristic
478C2×C32C4×#6711yescharacteristic
479C3⋊D3—122no—
480C3⋊D3—122no—
481C3⋊D3—122no—
482C3⋊D3—124no—
483C3⋊D3—121no—
484C3⋊D3—121no—
485C3⋊D3—121no—
486C3×D3—42no—
487C3×D3—41no—
488C3×D3—41no—
489C2×D4—271no—
490C22×C4—31no—
491C22×C4—271no—
492M16—182no—
493M16—542no—
494C2×C8—31no—
495C2×C8—31no—
496C2×C8—91no—
497C2×C8—91no—
498C4⋊C4—271no—
499C22⋊C4—271no—
500C22⋊C4—271no—
501C42—91no—
502C22×C3—21no—
503C22×C3—21no—
504C22×C3—21no—
505C22×C3—41no—
506C22×C3—62no—
507C22×C3—61no—
508C22×C3—61no—
509C22×C3—61no—
510C22×C3—61no—
511C22×C3—61no—
512C22×C3—61no—
513C22×C3—121no—
514C22×C3—121no—
515C22×C3C4×D3211yescharacteristic
516C22×C3C4×D3211yescharacteristic
517C22×C3C2×#62411yescharacteristic
518C2×D3—21no—
519C2×D3—21no—
520C2×D3—21no—
521C2×D3—182no—
522C2×D3—182no—
523C2×D3—182no—
524C2×D3—181no—
525C2×D3—181no—
526C2×D3—181no—
527C2×D3—181no—
528C2×D3—181no—
529C2×D3—181no—
530C2×D3—181no—
531C2×D3—181no—
532C2×D3—181no—
533C2×D3—361no—
534C2×D3—361no—
535C2×D3—361no—
536C2×D3—361no—
537C2×D3—361no—
538C2×D3—361no—
539C2×D3—362no—
540C2×D3—362no—
541C2×D3—362no—
542C3×C4—21no—
543C3×C4—21no—
544C3×C4—21no—
545C3×C4—21no—
546C3×C4—21no—
547C3×C4—21no—
548C3×C4—41no—
549C3×C4—41no—
550C3×C4—61no—
551C3×C4—61no—
552C3×C4—92no—
553C3×C4—121no—
554C3×C4—181no—
555C3×C4#379811yescharacteristic
556C3×C4D3×D1211yescharacteristic
557C3×C4#380411yescharacteristic
558C3×C4#380411yescharacteristic
559C3×C4C2×#62611yescharacteristic
560C3×C4D3×#6711yescharacteristic
561Dic3—21no—
562Dic3—32no—
563Dic3—32no—
564Dic3—62no—
565Dic3—61no—
566Dic3—61no—
567Dic3—121no—
568Dic3—182no—
569Dic3—181no—
570Dic3—181no—
571Dic3—181no—
572Dic3—361no—
573Dic3—361no—
574Dic3—362no—
575C32—21no—
576C32—21no—
577C32—21no—
578C32—41no—
579C32#468811yescharacteristic, complemented
580C32#472911yescharacteristic, complemented
581C32#512811yescharacteristic, complemented
582C23—31no—
583C23—271no—
584D4—542no—
585C2×C4—31no—
586C2×C4—61no—
587C2×C4—61no—
588C2×C4—91no—
589C2×C4—91no—
590C2×C4—271no—
591C2×C4—541no—
592C2×C4—541no—
593C2×C4D3311yescharacteristic
594C8—32no—
595C8—61no—
596C8—181no—
597C8—181no—
598C2×C3—21no—
599C2×C3—21no—
600C2×C3—21no—
601C2×C3—21no—
602C2×C3—21no—
603C2×C3—21no—
604C2×C3—21no—
605C2×C3—21no—
606C2×C3—21no—
607C2×C3—41no—
608C2×C3—41no—
609C2×C3—41no—
610C2×C3—122no—
611C2×C3—121no—
612C2×C3—121no—
613C2×C3D3×ΓL(1,𝔽25)11yescharacteristic
614C2×C3D3×ΓL(1,𝔽25)11yescharacteristic
615C2×C3#6380311yescharacteristic
616C2×C3#6380411yescharacteristic
617C2×C3#6381711yescharacteristic
618C2×C3#6381811yescharacteristic
619C2×C3#6388011yescharacteristic
620C2×C3C4×#62611yescharacteristic
621C2×C3#6395211yescharacteristic
622D3—41no—
623D3—362no—
624D3—362no—
625D3—362no—
626D3—364no—
627D3—361no—
628D3—361no—
629D3—361no—
630C22—61no—
631C22—61no—
632C22—61no—
633C22—541no—
634C22—541no—
635C22—541no—
636C22D3×#62411yescharacteristic
637C4—61no—
638C4—92no—
639C4—181no—
640C4—541no—
641C4D3×#62611yescharacteristic
642C4#8895911yescharacteristic
643C3—21no—
644C3—21no—
645C3—21no—
646C3—41no—
647C3#1059072911yescharacteristic, complemented
648C3#1059073011yescharacteristic, complemented
649C3#1059105111yescharacteristic, complemented
650C2—121no—
651C2—1081no—
652C2#1172281811yescharacteristic
653C2#1172282411yescharacteristic
654C2#1172293211yescharacteristic
subgroupG/H
center, Frattini, hypercenterC2×C4D33
commutator, socleC22×C33C22×C4
Fitting, cosocleC2×C33×C4C23
prime radicalC2×#6291C4
hypocenterC33#436
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C2×#88788C2semidirect
3. C2×C3×#3711C2semidirect
4. #11722078C2semidirect
5. #11722024C2semidirect
6. C3×(C2×D3)⋊(C3⋊C8)C2semidirect
7. C3×#63553C2semidirect
34. C2×#3711D3semidirect
46. (C2×D3)⋊(C3⋊C8)D3semidirect
47. #63553D3semidirect
63. C32×C3⋊C8D4semidirect
132. C3×C3⋊Dic3M16semidirect
235. C3×C3⋊C8D12semidirect
236. C3×C3⋊C8#67semidirect
360. C3⋊Dic3ΓL(1,𝔽25)semidirect
377. C33#436semidirect
456. C3⋊C8#626semidirect
579. C32#4688semidirect
580. C32#4729semidirect
581. C32#5128semidirect
647. C3#10590729semidirect
648. C3#10590730semidirect
649. C3#10591051semidirect

Maximal subgroups

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

subgroupindex
C4×#62912
C2×#887882
C2×C3×#37112
#117220782
#117220242
C3×(C2×D3)⋊(C3⋊C8)2
C3×#635532
#105910513
#105907303
#105907293