Finite Group Databasebeta

← C3×#62986 #10681593

Subgroups — C3×#62986 #10681593

Order 768.

7894 conjugacy classes of subgroups.

The subgroup lattice has 522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3519C2118yesmaximal, complemented
2C3×#3517C216yesmaximal, complemented
3C3×#3508C219yesmaximal, complemented
4C3×#3506C219yesmaximal, complemented
5C3×#3498C213yesmaximal, complemented
6C3×#3483C212yesmaximal, complemented
7C3×#3480C213yesmaximal, complemented
8C3×Q8×#41C211yesmaximal, characteristic, complemented
9C3×D4×#41C216yesmaximal, complemented
10C2×C3×#550C213yesmaximal, complemented
11C3×C4×H(5,𝔽2)C213yesmaximal, complemented
12#62986C311yesmaximal, characteristic, direct product factor, Sylow
13C2×C3×H(5,𝔽2)C2213yes—
14C22×C3×#41C2216yescomplemented
15C3×#559C2219yescomplemented
16C3×#559C22118yescomplemented
17C3×Q82C2211yescharacteristic, complemented
18C3×#557C2213yescomplemented
19C3×#557C2211yescharacteristic, complemented
20C3×#556C2219yescomplemented
21C3×#555C22118yescomplemented
22C3×#554C2219yescomplemented
23C3×#553C22118yescomplemented
24C3×#553C22136yescomplemented
25C3×#550C2213yescomplemented
26C3×#550C2216yescomplemented
27C3×#550C22118yescomplemented
28C3×#550C22118yescomplemented
29C3×#550C2216yescomplemented
30C3×#550C2216yescomplemented
31C3×#550C2216yescomplemented
32C3×D4×Q8C2213yescomplemented
33C3×#548C2216yescomplemented
34C3×#547C22118yescomplemented
35C3×#546C22136yescomplemented
36C3×#546C22136yescomplemented
37C3×D42C22118yescomplemented
38C3×D42C22118yescomplemented
39C3×#540C22136yescomplemented
40C3×#538C22136yescomplemented
41C3×#535C22118yescomplemented
42C3×#533C2219yescomplemented
43C3×#532C22118yescomplemented
44C3×#532C2219yescomplemented
45C3×#532C22118yescomplemented
46C2×C3×#127C2219yescomplemented
47C3×#529C22118yescomplemented
48C3×#525C22136yescomplemented
49C2×C3×#121C22118yescomplemented
50C3×#520C2211yescharacteristic
51C3×#520C2219yescomplemented
52C3×#520C2216yescomplemented
53C3×#518C2219yescomplemented
54C3×#518C22118yescomplemented
55C3×C4×#41C2213yes—
56C3×C4×#41C2219yescomplemented
57C3×C4×#41C2216yescomplemented
58C3×C4×#41C2216yescomplemented
59C2×C3×C4×Q8C2213yescomplemented
60C2×C3×C4×D4C2219yescomplemented
61C2×C3×C4×D4C22118yescomplemented
62#3519C2×C3118yescomplemented
63#3517C2×C316yescomplemented
64#3508C2×C319yescomplemented
65#3506C2×C319yescomplemented
66#3498C2×C313yescomplemented
67#3483C2×C312yescomplemented
68#3480C2×C313yescomplemented
69Q8×#41C2×C311yescharacteristic, complemented
70D4×#41C2×C316yescomplemented
71C2×#550C2×C313yescomplemented
72C4×H(5,𝔽2)C2×C313yescomplemented
73C3×H(5,𝔽2)—224no—
74C2×C3×#41—424no—
75C2×C3×#41C2316yes—
76C2×C3×#41C2319yes—
77C2×C3×#41C2316yes—
78C2×C3×#41C23136yes—
79C2×C3×#41C23112yes—
80C2×C3×#41C2311yescharacteristic
81C22×C3×Q8C2313yes—
82C22×C3×D4C2319yes—
83C22×C3×D4C23118yes—
84C22×C3×D4C23118yes—
85C22×C3×D4C23118yes—
86C23×C3×C4C23118yes—
87C3×C4⋊Q8C2319yes—
88C3×C4⋊Q8C2313yes—
89C3×C4⋊Q8C2319yes—
90C3×#127C2319yes—
91C3×#127C23118yes—
92C3×#127C23118yes—
93C3×#127C23118yes—
94C3×#126C23136yes—
95C3×#125C2316yes—
96C3×#125C23118yes—
97C3×#124C23118yes—
98C3×#124C23118yes—
99C3×#124C23136yes—
100C3×#123C23172yes—
101C3×#123C23136yes—
102C3×C22⋊Q8C23118yes—
103C3×C22⋊Q8C23118yes—
104C3×C22⋊Q8C23118yes—
105C3×#121C23118yes—
106C3×#121C23136yes—
107C3×#121C23172yes—
108C3×#121C23118yes—
109C3×#121C23136yes—
110C3×#121C23136yes—
111C3×#121C23118yes—
112C3×#121C23136yes—
113C3×#120C23172yes—
114C3×C4×Q8C2313yes—
115C3×C4×Q8C2313yes—
116C3×C4×Q8C2313yes—
117C3×C4×Q8C2316yes—
118C3×C4×Q8C2319yes—
119C3×C4×Q8C2319yes—
120C3×C4×Q8C2311yescharacteristic
121C3×C4×Q8C2319yes—
122C3×C4×Q8C2313yes—
123C3×C4×Q8C2312yes—
124C3×C4×Q8C2312yes—
125C3×C4×D4C23118yes—
126C3×C4×D4C2319yes—
127C3×C4×D4C23118yes—
128C3×C4×D4C23136yes—
129C3×C4×D4C2316yes—
130C3×C4×D4C2319yes—
131C3×C4×D4C23118yes—
132C3×C4×D4C23118yes—
133C3×C4×D4C2319yes—
134C3×C4×D4C23136yes—
135C3×C4×D4C23118yes—
136C3×C4×D4C23118yes—
137C3×C4×D4C2319yes—
138C3×C4×D4C23118yes—
139C3×C4×D4C23118yes—
140C3×C4×D4C23118yes—
141C3×C4×D4C23118yes—
142C3×#117C2319yes—
143C3×#117C2313yes—
144C3×#117C23118yes—
145C3×#117C23118yes—
146C3×#117C23118yes—
147C2×C3×C4⋊C4C2313yes—
148C2×C3×C4⋊C4C23118yes—
149C2×C3×C4⋊C4C2319yes—
150C2×C3×C22⋊C4C23118yes—
151C2×C3×C22⋊C4C23136yes—
152C2×C3×C42C2319yes—
153C2×C3×C42C23118yes—
154C2×H(5,𝔽2)C22×C313yes—
155C22×#41C22×C316yescomplemented
156#559C22×C319yescomplemented
157#559C22×C3118yescomplemented
158Q82C22×C311yescharacteristic, complemented
159#557C22×C313yescomplemented
160#557C22×C311yescharacteristic, complemented
161#556C22×C319yescomplemented
162#555C22×C3118yescomplemented
163#554C22×C319yescomplemented
164#553C22×C3118yescomplemented
165#553C22×C3136yescomplemented
166#550C22×C313yescomplemented
167#550C22×C316yescomplemented
168#550C22×C3118yescomplemented
169#550C22×C3118yescomplemented
170#550C22×C316yescomplemented
171#550C22×C316yescomplemented
172#550C22×C316yescomplemented
173D4×Q8C22×C313yescomplemented
174#548C22×C316yescomplemented
175#547C22×C3118yescomplemented
176#546C22×C3136yescomplemented
177#546C22×C3136yescomplemented
178D42C22×C3118yescomplemented
179D42C22×C3118yescomplemented
180#540C22×C3136yescomplemented
181#538C22×C3136yescomplemented
182#535C22×C3118yescomplemented
183#533C22×C319yescomplemented
184#532C22×C3118yescomplemented
185#532C22×C319yescomplemented
186#532C22×C3118yescomplemented
187C2×#127C22×C319yescomplemented
188#529C22×C3118yescomplemented
189#525C22×C3136yescomplemented
190C2×#121C22×C3118yescomplemented
191#520C22×C311yescharacteristic
192#520C22×C319yescomplemented
193#520C22×C316yescomplemented
194#518C22×C319yescomplemented
195#518C22×C3118yescomplemented
196C4×#41C22×C313yes—
197C4×#41C22×C319yescomplemented
198C4×#41C22×C316yescomplemented
199C4×#41C22×C316yescomplemented
200C2×C4×Q8C22×C313yescomplemented
201C2×C4×D4C22×C319yescomplemented
202C2×C4×D4C22×C3118yescomplemented
203C24×C3C24118yes—
204C3×#41—224no—
205C3×#41—224no—
206C3×#41—236no—
207C3×#41—472no—
208C3×#41—812no—
209C3×#41#4118yescomplemented
210C2×C3×Q8—212no—
211C2×C3×Q8C2413yes—
212C2×C3×Q8C2419yes—
213C2×C3×Q8C2416yes—
214C2×C3×Q8C2411yescharacteristic
215C2×C3×Q8C2411yescharacteristic
216C2×C3×D4—272no—
217C2×C3×D4—236no—
218C2×C3×D4—436no—
219C2×C3×D4—818no—
220C2×C3×D4C24118yes—
221C2×C3×D4C24118yes—
222C2×C3×D4C2419yes—
223C2×C3×D4C24118yes—
224C2×C3×D4C24136yes—
225C2×C3×D4C24118yes—
226C2×C3×D4C24136yes—
227C2×C3×D4C2413yes—
228C22×C3×C4—436no—
229C22×C3×C4C24118yes—
230C22×C3×C4C2419yes—
231C22×C3×C4C24118yes—
232C22×C3×C4C2419yes—
233C22×C3×C4C24118yes—
234C22×C3×C4C2416yes—
235C22×C3×C4C24136yes—
236C22×C3×C4C2413yes—
237C3×C4⋊C4C2416yes—
238C3×C4⋊C4C2413yes—
239C3×C4⋊C4C2413yes—
240C3×C4⋊C4C2419yes—
241C3×C4⋊C4C24118yes—
242C3×C4⋊C4C2419yes—
243C3×C4⋊C4C24118yes—
244C3×C4⋊C4C2411yescharacteristic
245C3×C4⋊C4C2419yes—
246C3×C4⋊C4C2416yes—
247C3×C4⋊C4C2416yes—
248C3×C4⋊C4C2416yes—
249C3×C4⋊C4C24118yes—
250C3×C22⋊C4C2416yes—
251C3×C22⋊C4C24118yes—
252C3×C22⋊C4C24118yes—
253C3×C22⋊C4C24118yes—
254C3×C22⋊C4C24136yes—
255C3×C22⋊C4C24136yes—
256C3×C22⋊C4C24136yes—
257C3×C42C2416yes—
258C3×C42C2416yes—
259C3×C42C2419yes—
260C3×C42C2413yes—
261C3×C42C24118yes—
262C3×C42C2419yes—
263C3×C42C2419yes—
264H(5,𝔽2)—224no—
265C2×#41—424no—
266C2×#41C23×C319yes—
267C2×#41C23×C316yes—
268C2×#41C23×C316yes—
269C2×#41C23×C3136yes—
270C2×#41C23×C3112yes—
271C2×#41C23×C311yescharacteristic
272C22×Q8C23×C313yes—
273C22×D4C23×C319yes—
274C22×D4C23×C3118yes—
275C22×D4C23×C3118yes—
276C22×D4C23×C3118yes—
277C23×C4C23×C3118yes—
278C4⋊Q8C23×C313yes—
279C4⋊Q8C23×C319yes—
280C4⋊Q8C23×C319yes—
281#127C23×C319yes—
282#127C23×C3118yes—
283#127C23×C3118yes—
284#127C23×C3118yes—
285#126C23×C3136yes—
286#125C23×C316yes—
287#125C23×C3118yes—
288#124C23×C3118yes—
289#124C23×C3118yes—
290#124C23×C3136yes—
291#123C23×C3172yes—
292#123C23×C3136yes—
293C22⋊Q8C23×C3118yes—
294C22⋊Q8C23×C3118yes—
295C22⋊Q8C23×C3118yes—
296#121C23×C3118yes—
297#121C23×C3136yes—
298#121C23×C3172yes—
299#121C23×C3118yes—
300#121C23×C3136yes—
301#121C23×C3136yes—
302#121C23×C3118yes—
303#121C23×C3136yes—
304#120C23×C3172yes—
305C4×Q8C23×C311yescharacteristic
306C4×Q8C23×C313yes—
307C4×Q8C23×C319yes—
308C4×Q8C23×C319yes—
309C4×Q8C23×C313yes—
310C4×Q8C23×C313yes—
311C4×Q8C23×C312yes—
312C4×Q8C23×C312yes—
313C4×Q8C23×C313yes—
314C4×Q8C23×C319yes—
315C4×Q8C23×C316yes—
316C4×D4C23×C316yes—
317C4×D4C23×C319yes—
318C4×D4C23×C3118yes—
319C4×D4C23×C3118yes—
320C4×D4C23×C319yes—
321C4×D4C23×C3136yes—
322C4×D4C23×C3118yes—
323C4×D4C23×C3118yes—
324C4×D4C23×C3118yes—
325C4×D4C23×C319yes—
326C4×D4C23×C3118yes—
327C4×D4C23×C3118yes—
328C4×D4C23×C319yes—
329C4×D4C23×C3118yes—
330C4×D4C23×C3118yes—
331C4×D4C23×C3136yes—
332C4×D4C23×C3118yes—
333#117C23×C319yes—
334#117C23×C313yes—
335#117C23×C3118yes—
336#117C23×C3118yes—
337#117C23×C3118yes—
338C2×C4⋊C4C23×C313yes—
339C2×C4⋊C4C23×C3118yes—
340C2×C4⋊C4C23×C319yes—
341C2×C22⋊C4C23×C3118yes—
342C2×C22⋊C4C23×C3136yes—
343C2×C42C23×C319yes—
344C2×C42C23×C3118yes—
345C23×C3—236no—
346C23×C3—418no—
347C23×C3—418no—
348C23×C3C25118yes—
349C23×C3C2513yes—
350C3×Q8—26no—
351C3×Q8—218no—
352C3×Q8—46no—
353C3×Q8C2×#4114yescomplemented
354C3×Q8H(5,𝔽2)14yescomplemented
355C3×D4—236no—
356C3×D4—236no—
357C3×D4—218no—
358C3×D4—236no—
359C3×D4—436no—
360C3×D4—418no—
361C3×D4—436no—
362C3×D4C2×#41112yescomplemented
363C2×C3×C4—236no—
364C2×C3×C4—218no—
365C2×C3×C4—236no—
366C2×C3×C4—46no—
367C2×C3×C4—436no—
368C2×C3×C4—49no—
369C2×C3×C4—418no—
370C2×C3×C4C2×#41112yescomplemented
371C2×C3×C4C2512yes—
372C2×C3×C4C2516yes—
373C2×C3×C4C2519yes—
374C2×C3×C4C2516yes—
375C2×C3×C4C2513yes—
376C2×C3×C4C2519yes—
377C2×C3×C4C2511yescharacteristic
378C2×C3×C4C2513yes—
379C2×C3×C4C2513yes—
380C24C24×C3118yes—
381#41—224no—
382#41—224no—
383#41—236no—
384#41—472no—
385#41—812no—
386#41C3×#4118yescomplemented
387C2×Q8—212no—
388C2×Q8C24×C313yes—
389C2×Q8C24×C319yes—
390C2×Q8C24×C316yes—
391C2×Q8C24×C311yescharacteristic
392C2×Q8C24×C311yescharacteristic
393C2×D4—272no—
394C2×D4—236no—
395C2×D4—436no—
396C2×D4—818no—
397C2×D4C24×C3118yes—
398C2×D4C24×C3118yes—
399C2×D4C24×C319yes—
400C2×D4C24×C3118yes—
401C2×D4C24×C3136yes—
402C2×D4C24×C3118yes—
403C2×D4C24×C3136yes—
404C2×D4C24×C313yes—
405C22×C4—436no—
406C22×C4C24×C3118yes—
407C22×C4C24×C319yes—
408C22×C4C24×C3118yes—
409C22×C4C24×C319yes—
410C22×C4C24×C3118yes—
411C22×C4C24×C316yes—
412C22×C4C24×C3136yes—
413C22×C4C24×C313yes—
414C4⋊C4C24×C316yes—
415C4⋊C4C24×C313yes—
416C4⋊C4C24×C313yes—
417C4⋊C4C24×C319yes—
418C4⋊C4C24×C3118yes—
419C4⋊C4C24×C319yes—
420C4⋊C4C24×C3118yes—
421C4⋊C4C24×C311yescharacteristic
422C4⋊C4C24×C319yes—
423C4⋊C4C24×C316yes—
424C4⋊C4C24×C316yes—
425C4⋊C4C24×C316yes—
426C4⋊C4C24×C3118yes—
427C22⋊C4C24×C316yes—
428C22⋊C4C24×C3118yes—
429C22⋊C4C24×C3118yes—
430C22⋊C4C24×C3118yes—
431C22⋊C4C24×C3136yes—
432C22⋊C4C24×C3136yes—
433C22⋊C4C24×C3136yes—
434C42C24×C316yes—
435C42C24×C316yes—
436C42C24×C319yes—
437C42C24×C313yes—
438C42C24×C3118yes—
439C42C24×C319yes—
440C42C24×C319yes—
441C22×C3—23no—
442C22×C3—23no—
443C22×C3—218no—
444C22×C3—218no—
445C22×C3—218no—
446C22×C3—836no—
447C22×C3C22×#4116yes—
448C22×C3C2611yescharacteristic
449C3×C4—26no—
450C3×C4—26no—
451C3×C4—29no—
452C3×C4—22no—
453C3×C4—23no—
454C3×C4—29no—
455C3×C4C22×#4116yes—
456C3×C4C22×#4112yes—
457C3×C4C2×H(5,𝔽2)16yes—
458C23—236no—
459C23—418no—
460C23—418no—
461C23C25×C3118yes—
462C23C25×C313yes—
463Q8—26no—
464Q8—218no—
465Q8—46no—
466Q8C2×C3×#4114yescomplemented
467Q8C3×H(5,𝔽2)14yescomplemented
468D4—236no—
469D4—236no—
470D4—218no—
471D4—236no—
472D4—436no—
473D4—418no—
474D4—436no—
475D4C2×C3×#41112yescomplemented
476C2×C4—236no—
477C2×C4—218no—
478C2×C4—236no—
479C2×C4—46no—
480C2×C4—436no—
481C2×C4—49no—
482C2×C4—418no—
483C2×C4C2×C3×#41112yescomplemented
484C2×C4C25×C312yes—
485C2×C4C25×C316yes—
486C2×C4C25×C319yes—
487C2×C4C25×C316yes—
488C2×C4C25×C313yes—
489C2×C4C25×C319yes—
490C2×C4C25×C311yescharacteristic
491C2×C4C25×C313yes—
492C2×C4C25×C313yes—
493C2×C3—26no—
494C2×C3—418no—
495C2×C3C23×#4111yescharacteristic
496C2×C3C22×H(5,𝔽2)11yescharacteristic
497C2×C3H(7,𝔽2)11yescharacteristic
498C22—23no—
499C22—23no—
500C22—218no—
501C22—218no—
502C22—218no—
503C22—836no—
504C22C22×C3×#4116yes—
505C22C26×C311yescharacteristic
506C4—26no—
507C4—26no—
508C4—29no—
509C4—22no—
510C4—23no—
511C4—29no—
512C4C22×C3×#4116yes—
513C4C22×C3×#4112yes—
514C4C2×C3×H(5,𝔽2)16yes—
515C3#6298611yescharacteristic, direct product factor, Sylow
516C2—26no—
517C2—418no—
518C2C23×C3×#4111yescharacteristic
519C2C22×C3×H(5,𝔽2)11yescharacteristic
520C2C3×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C3C26
commutator, Frattini, cosocleC22C26×C3
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#3519C2semidirect
2. C3×#3517C2semidirect
3. C3×#3508C2semidirect
4. C3×#3506C2semidirect
5. C3×#3498C2semidirect
6. C3×#3483C2semidirect
7. C3×#3480C2semidirect
8. C3×Q8×#41C2semidirect
9. C3×D4×#41C2semidirect
10. C2×C3×#550C2semidirect
11. C3×C4×H(5,𝔽2)C2semidirect
12. #62986C3direct (N × H)
14. C22×C3×#41C22semidirect
15. C3×#559C22semidirect
16. C3×#559C22semidirect
17. C3×Q82C22semidirect
18. C3×#557C22semidirect
19. C3×#557C22semidirect
20. C3×#556C22semidirect
21. C3×#555C22semidirect
22. C3×#554C22semidirect
23. C3×#553C22semidirect
24. C3×#553C22semidirect
25. C3×#550C22semidirect
26. C3×#550C22semidirect
27. C3×#550C22semidirect
28. C3×#550C22semidirect
29. C3×#550C22semidirect
30. C3×#550C22semidirect
31. C3×#550C22semidirect
32. C3×D4×Q8C22semidirect
33. C3×#548C22semidirect
34. C3×#547C22semidirect
35. C3×#546C22semidirect
36. C3×#546C22semidirect
37. C3×D42C22semidirect
38. C3×D42C22semidirect
39. C3×#540C22semidirect
40. C3×#538C22semidirect
41. C3×#535C22semidirect
42. C3×#533C22semidirect
43. C3×#532C22semidirect
44. C3×#532C22semidirect
45. C3×#532C22semidirect
46. C2×C3×#127C22semidirect
47. C3×#529C22semidirect
48. C3×#525C22semidirect
49. C2×C3×#121C22semidirect
51. C3×#520C22semidirect
52. C3×#520C22semidirect
53. C3×#518C22semidirect
54. C3×#518C22semidirect
56. C3×C4×#41C22semidirect
57. C3×C4×#41C22semidirect
58. C3×C4×#41C22semidirect
59. C2×C3×C4×Q8C22semidirect
60. C2×C3×C4×D4C22semidirect
61. C2×C3×C4×D4C22semidirect
62. #3519C2×C3semidirect
63. #3517C2×C3semidirect
64. #3508C2×C3semidirect
65. #3506C2×C3semidirect
66. #3498C2×C3semidirect
67. #3483C2×C3semidirect
68. #3480C2×C3semidirect
69. Q8×#41C2×C3semidirect
70. D4×#41C2×C3semidirect
71. C2×#550C2×C3semidirect
72. C4×H(5,𝔽2)C2×C3semidirect
155. C22×#41C22×C3semidirect
156. #559C22×C3semidirect
157. #559C22×C3semidirect
158. Q82C22×C3semidirect
159. #557C22×C3semidirect
160. #557C22×C3semidirect
161. #556C22×C3semidirect
162. #555C22×C3semidirect
163. #554C22×C3semidirect
164. #553C22×C3semidirect
165. #553C22×C3semidirect
166. #550C22×C3semidirect
167. #550C22×C3semidirect
168. #550C22×C3semidirect
169. #550C22×C3semidirect
170. #550C22×C3semidirect
171. #550C22×C3semidirect
172. #550C22×C3semidirect
173. D4×Q8C22×C3semidirect
174. #548C22×C3semidirect
175. #547C22×C3semidirect
176. #546C22×C3semidirect
177. #546C22×C3semidirect
178. D42C22×C3semidirect
179. D42C22×C3semidirect
180. #540C22×C3semidirect
181. #538C22×C3semidirect
182. #535C22×C3semidirect
183. #533C22×C3semidirect
184. #532C22×C3semidirect
185. #532C22×C3semidirect
186. #532C22×C3semidirect
187. C2×#127C22×C3semidirect
188. #529C22×C3semidirect
189. #525C22×C3semidirect
190. C2×#121C22×C3semidirect
192. #520C22×C3semidirect
193. #520C22×C3semidirect
194. #518C22×C3semidirect
195. #518C22×C3semidirect
197. C4×#41C22×C3semidirect
198. C4×#41C22×C3semidirect
199. C4×#41C22×C3semidirect
200. C2×C4×Q8C22×C3semidirect
201. C2×C4×D4C22×C3semidirect
202. C2×C4×D4C22×C3semidirect
209. C3×#41#41semidirect
353. C3×Q8C2×#41semidirect
354. C3×Q8H(5,𝔽2)semidirect
362. C3×D4C2×#41semidirect
370. C2×C3×C4C2×#41semidirect
386. #41C3×#41semidirect
466. Q8C2×C3×#41semidirect
467. Q8C3×H(5,𝔽2)semidirect
475. D4C2×C3×#41semidirect
483. C2×C4C2×C3×#41semidirect
515. C3#62986direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#35192
C3×#35172
C3×#35082
C3×#35062
C3×#34982
C3×#34832
C3×#34802
C3×Q8×#412
C3×D4×#412
C2×C3×#5502
C3×C4×H(5,𝔽2)2
#629863