Finite Group Databasebeta

← D3×#4838 #11859296

Subgroups — D3×#4838 #11859296

Order 1152.

1165 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×ΓL(1,𝔽25)C212yesmaximal, complemented
2C4×D3×D12C211yesmaximal, characteristic
3#10592537C211yesmaximal, characteristic, complemented
4C3×#4838C211yesmaximal, characteristic, complemented
5C3×D3×C4⋊C8C211yesmaximal, characteristic, complemented
6D3×(C2×D3)⋊C8C212yesmaximal, complemented
7#10590732C212yesmaximal, complemented
8#10590731C212yesmaximal, complemented
9#10590339C211yesmaximal, characteristic, complemented
10#10590338C211yesmaximal, characteristic, complemented
11C4×D3×C3⋊C8C211yesmaximal, characteristic, complemented
12D3×#436—31nomaximal
13C2×#4838—31nomaximal
14C2×D3×D12C411yescharacteristic
15C2×C4×D32C2212yes—
16C2×#3743C2212yescomplemented
17C4×C4⋊(C3⋊D3)C2211yescharacteristic
18C2×C3×ΓL(1,𝔽25)C2212yescomplemented
19C2×C3×D3×C8C2212yes—
20C3×C4×D12C2211yescharacteristic
21C3×C42×D3C2211yescharacteristic
22D3×(C2×D3)⋊C4C412yes—
23C4×#626C2212yes—
24#63894C411yescharacteristic
25Dic3×D12C411yescharacteristic
26D3×C4⋊Dic3C411yescharacteristic
27#63880C412yes—
28C2×#3712C2212yescomplemented
29C2×#3711C2212yescomplemented
30C2×D3×C3⋊C8C2211yescharacteristic
31C2×D3×C3⋊C8C2211yescharacteristic
32D3×ΓL(1,𝔽25)—28no—
33C32×C4⋊C8C2211yescharacteristic, complemented
34#63647C2212yescomplemented
35C4×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
36C3×(C2×D3)⋊C8C2212yescomplemented
37C3×Dic3⋊C8C2212yescomplemented
38C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
39C3×C4×C3⋊C8C2211yescharacteristic, complemented
40#63557C2212yescomplemented
41(C2×D3)⋊(C3⋊C8)C2212yescomplemented
42Dic3×C3⋊C8C2211yescharacteristic, complemented
43Dic3×C3⋊C8C2211yescharacteristic, complemented
44C2×D3×M16—32no—
45C22×ΓL(1,𝔽25)—32no—
46C4×D3×D4—31no—
47C2×C4×D12—31no—
48C3×#436—31no—
49C2×C3×C4⋊C8—31no—
50#5128—32no—
51C2×(C2×D3)⋊C8—32no—
52#5012—31no—
53C2×C4×C3⋊C8—31no—
54#4838—32no—
55#4838—31no—
56#4838—31no—
57#4838—31no—
58#4838—32no—
59#4838—31no—
60#4838—61no—
61#4838D311yescharacteristic, direct product factor
62D3×C4⋊C8D311yescharacteristic, complemented
63#4729—32no—
64D3×C22⋊C8—32no—
65#4688—31no—
66C4×D3×C8—31no—
67C22×D32C2×C412yes—
68C2×C4⋊(C3⋊D3)C2×C411yescharacteristic
69C2×C4×C3⋊D3C2312yes—
70C2×C3×D12C2×C411yescharacteristic
71C2×C3×C4×D3C2×C411yescharacteristic
72C2×C3×C4×D3C2×C411yescharacteristic
73C2×C3×C4×D3C2312yes—
74C2×C3×C4×D3C2311yescharacteristic
75C2×#626C2×C412yes—
76C2×#624C2×C412yes—
77C2×D3×Dic3C2×C412yes—
78C2×D3×Dic3C2×C412yes—
79D3×D12—24no—
80C4×D32—24no—
81C4×D32—24no—
82C2×C32×C8C2312yes—
83C32×C42C2311yescharacteristic
84#3752C2×C412yes—
85C4⋊(C3⋊Dic3)C2×C411yescharacteristic
86C2×C3⋊(C3⋊C8)C2311yescharacteristic
87C2×C3⋊(C3⋊C8)C2311yescharacteristic
88#3743—24no—
89C3×(C2×D3)⋊C4C2×C412yes—
90C3×C4⋊Dic3C2×C411yescharacteristic
91C3×C4×Dic3C2×C411yescharacteristic
92C3×C4×Dic3C2×C411yescharacteristic
93C3×C4×Dic3C2311yescharacteristic
94C2×C3×C3⋊C8C2312yes—
95C2×C3×C3⋊C8C2311yescharacteristic
96C2×C3×C3⋊C8C2311yescharacteristic
97C3×ΓL(1,𝔽25)—24no—
98C3×D3×C8—24no—
99Dic3⋊Dic3C2×C412yes—
100#3722C2×C412yes—
101(C2×D3)⋊Dic3C2×C412yes—
102#3712—24no—
103#3711—24no—
104D3×C3⋊C8—22no—
105D3×C3⋊C8D414yescomplemented
106C2×#436—91noSylow
107C2×D3×D4—31no—
108C22×D12—31no—
109C22×C4×D3—32no—
110C22×C4×D3—32no—
111C2×C3×M16—32no—
112C22×C3×C8—32no—
113C3×C4×D4—31no—
114C2×C3×C42—31no—
115D4×Dic3—31no—
116C4×#67—32no—
117C2×(C2×D3)⋊C4—32no—
118C2×C4⋊Dic3—31no—
119C2×#208—32no—
120C22×C3⋊C8—31no—
121C22×C3⋊C8—31no—
122D3×M16—68no—
123C2×ΓL(1,𝔽25)—32no—
124C2×ΓL(1,𝔽25)—32no—
125C2×ΓL(1,𝔽25)—32no—
126C2×ΓL(1,𝔽25)—32no—
127C2×ΓL(1,𝔽25)—32no—
128C2×ΓL(1,𝔽25)—62no—
129C2×ΓL(1,𝔽25)—68no—
130C2×ΓL(1,𝔽25)C2×D312yescomplemented
131C2×D3×C8—31no—
132C2×D3×C8—31no—
133C2×D3×C8C2×D312yes—
134#893—31no—
135D3×C4⋊C4—31no—
136#67⋊C4—32no—
137D3×C22⋊C4—32no—
138C4×D12—31no—
139C4×D12—32no—
140C4×D12—31no—
141C4×D12—31no—
142C4×D12—32no—
143C4×D12—31no—
144C4×D12—61no—
145C4×D12C2×D311yescharacteristic
146C42×D3C2×D311yescharacteristic
147C3×C4⋊C8—21no—
148C3×C4⋊C8—32no—
149C3×C4⋊C8—31no—
150C3×C4⋊C8C2×D311yescharacteristic, complemented
151C3×C4⋊C8C2×D311yescharacteristic, complemented
152C3×C22⋊C8—32no—
153C3×C4×C8—31no—
154#830—32no—
155(C2×D3)⋊C8—32no—
156(C2×D3)⋊C8—32no—
157(C2×D3)⋊C8—32no—
158(C2×D3)⋊C8—32no—
159(C2×D3)⋊C8—32no—
160(C2×D3)⋊C8—62no—
161(C2×D3)⋊C8C2×D312yescomplemented
162Dic3⋊C8C2×D312yescomplemented
163C8×Dic3—31no—
164C8×Dic3—31no—
165C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
166C4×C3⋊C8—31no—
167C4×C3⋊C8—31no—
168C4×C3⋊C8—31no—
169C4×C3⋊C8—31no—
170C4×C3⋊C8—61no—
171C4×C3⋊C8C2×D311yescharacteristic, complemented
172C22×C3⋊D3C22×C412yes—
173C22×C3×D3C22×C412yes—
174C22×C3×D3C22×C411yescharacteristic
175C2×D32—24no—
176C2×D32—24no—
177C2×D32—24no—
178C2×C32×C4C22×C411yescharacteristic
179C2×C32×C4C22×C411yescharacteristic
180C2×C32×C4C2411yescharacteristic
181C2×C3⋊Dic3C22×C412yes—
182C4⋊(C3⋊D3)—22no—
183C4×C3⋊D3—22no—
184C4×C3⋊D3—22no—
185C2×C3×Dic3C22×C411yescharacteristic
186C2×C3×Dic3C22×C412yes—
187C2×C3×Dic3C22×C411yescharacteristic
188C2×C3×Dic3C22×C411yescharacteristic
189C3×D12—22no—
190C3×C4×D3—22no—
191C3×C4×D3—22no—
192C3×C4×D3—22no—
193C3×C4×D3M1614yescomplemented
194C3×C4×D3C2×D412yes—
195C3×C4×D3#4112yes—
196#626—24no—
197#624—24no—
198D3×Dic3—24no—
199D3×Dic3—24no—
200C32×C8—22no—
201C3⋊(C3⋊C8)—21no—
202C3⋊(C3⋊C8)C2×D412yescomplemented
203C3×C3⋊C8—22no—
204C3×C3⋊C8—21no—
205C3×C3⋊C8C2×D412yescomplemented
206C22×M16—92no—
207C2×C4×D4—91no—
208#436—31no—
209#436—91no—
210#436—92no—
211#436—91no—
212#436—92no—
213#436—91no—
214C2×C4⋊C8—31no—
215C2×C22⋊C8—92no—
216C2×C4×C8—91no—
217C23×D3—32no—
218C23×D3—32no—
219C2×C3×D4—31no—
220C22×C3×C4—31no—
221C22×C3×C4—31no—
222C22×C3×C4—31no—
223C22×C3×C4—32no—
224C2×#67—32no—
225C22×Dic3—32no—
226C22×Dic3—32no—
227D3×D4—64no—
228C2×D12—32no—
229C2×D12—31no—
230C2×D12—31no—
231C2×D12—61no—
232C2×D12—64no—
233C2×D12C4×D311yescharacteristic
234C2×C4×D3—32no—
235C2×C4×D3—32no—
236C2×C4×D3—32no—
237C2×C4×D3—32no—
238C2×C4×D3—32no—
239C2×C4×D3—32no—
240C2×C4×D3—62no—
241C2×C4×D3—64no—
242C2×C4×D3—64no—
243C2×C4×D3—64no—
244C2×C4×D3—64no—
245C2×C4×D3C4×D311yescharacteristic
246C2×C4×D3C4×D311yescharacteristic
247C2×C4×D3C22×D312yes—
248C2×C4×D3C22×D311yescharacteristic
249C3×M16—64no—
250C2×C3×C8—22no—
251C2×C3×C8—31no—
252C2×C3×C8—31no—
253C2×C3×C8—32no—
254C2×C3×C8—64no—
255C2×C3×C8C22×D312yes—
256C2×C3×C8C22×D312yes—
257C3×C4⋊C4—31no—
258C3×C22⋊C4—32no—
259C3×C42—21no—
260C3×C42—31no—
261C3×C42—31no—
262C3×C42—31no—
263C3×C42C22×D311yescharacteristic
264C3×C42C22×D311yescharacteristic
265#217—32no—
266(C2×D3)⋊C4—32no—
267(C2×D3)⋊C4—32no—
268(C2×D3)⋊C4—32no—
269(C2×D3)⋊C4—32no—
270(C2×D3)⋊C4—32no—
271(C2×D3)⋊C4—62no—
272(C2×D3)⋊C4C4×D312yes—
273C4⋊Dic3—31no—
274C4⋊Dic3—31no—
275C4⋊Dic3—32no—
276C4⋊Dic3—61no—
277C4⋊Dic3C4×D311yescharacteristic
278Dic3⋊C4—32no—
279C4×Dic3C4×D311yescharacteristic
280C4×Dic3C4×D311yescharacteristic
281C4×Dic3C22×D311yescharacteristic
282#208—64no—
283C2×C3⋊C8—31no—
284C2×C3⋊C8—31no—
285C2×C3⋊C8—34no—
286C2×C3⋊C8—31no—
287C2×C3⋊C8—31no—
288C2×C3⋊C8—61no—
289C2×C3⋊C8—61no—
290C2×C3⋊C8—62no—
291C2×C3⋊C8C22×D311yescharacteristic
292C2×C3⋊C8C22×D312yes—
293C2×C3⋊C8C22×D311yescharacteristic
294ΓL(1,𝔽25)—24no—
295ΓL(1,𝔽25)—64no—
296ΓL(1,𝔽25)—64no—
297ΓL(1,𝔽25)—64no—
298ΓL(1,𝔽25)—64no—
299ΓL(1,𝔽25)—64no—
300ΓL(1,𝔽25)—124no—
301D3×C8—24no—
302D3×C8—34no—
303D3×C8—62no—
304C22×C32C23×C411yescharacteristic
305C2×C3⋊D3—22no—
306C2×C3⋊D3—22no—
307C2×C3⋊D3—22no—
308C2×C3×D3—22no—
309C2×C3×D3—22no—
310C2×C3×D3—22no—
311C2×C3×D3C4×D412yes—
312C2×C3×D3C2×M1612yes—
313C2×C3×D3#13112yes—
314D32—48no—
315C32×C4—21no—
316C32×C4C2×M1612yescomplemented
317C32×C4C22×D411yescharacteristic
318C32×C4C2×#4111yescharacteristic
319C3⋊Dic3—22no—
320C3×Dic3—22no—
321C3×Dic3—21no—
322C3×Dic3C4×D412yes—
323C3×Dic3C2×M1612yescomplemented
324C22×D4—91no—
325C23×C4—92no—
326C2×M16—32no—
327C2×M16—92no—
328C2×M16—92no—
329C2×M16—92no—
330C2×M16—188no—
331C22×C8—32no—
332C22×C8—91no—
333C22×C8—91no—
334C4×D4—31no—
335C4×D4—92no—
336C4×D4—91no—
337C4×D4—92no—
338C4×D4—91no—
339C4×D4—91no—
340C2×C4⋊C4—91no—
341C2×C22⋊C4—92no—
342C2×C42—31no—
343C4⋊C8—32no—
344C4⋊C8—31no—
345C4⋊C8D3211yescharacteristic, complemented
346C22⋊C8—32no—
347C22⋊C8—92no—
348C22⋊C8—92no—
349C22⋊C8—92no—
350C4×C8—31no—
351C4×C8—91no—
352C4×C8—91no—
353C4×C8—91no—
354C23×C3—31no—
355C23×C3—32no—
356C22×D3—32no—
357C22×D3—32no—
358C22×D3—62no—
359C22×D3—64no—
360C22×D3—64no—
361C22×D3—64no—
362C22×D3—64no—
363C22×D3—64no—
364C22×D3—64no—
365C22×D3C2×C4×D312yes—
366C22×D3C2×C4×D311yescharacteristic
367C3×D4—62no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—31no—
372C2×C3×C4—31no—
373C2×C3×C4—34no—
374C2×C3×C4—32no—
375C2×C3×C4—32no—
376C2×C3×C4—32no—
377C2×C3×C4—31no—
378C2×C3×C4—62no—
379C2×C3×C4—62no—
380C2×C3×C4—62no—
381C2×C3×C4C2×C4×D311yescharacteristic
382C2×C3×C4C2×C4×D311yescharacteristic
383C2×C3×C4C2×C4×D311yescharacteristic
384C2×C3×C4C2×C4×D311yescharacteristic
385C2×C3×C4C23×D311yescharacteristic
386C2×C3×C4C23×D311yescharacteristic
387#67—64no—
388C2×Dic3—32no—
389C2×Dic3—32no—
390C2×Dic3—62no—
391C2×Dic3—64no—
392C2×Dic3—64no—
393C2×Dic3C2×C4×D311yescharacteristic
394C2×Dic3C2×C4×D312yes—
395C2×Dic3C2×C4×D311yescharacteristic
396C2×Dic3C2×C4×D311yescharacteristic
397D12—22no—
398D12—64no—
399D12—62no—
400D12—62no—
401D12—122no—
402C4×D3—22no—
403C4×D3—22no—
404C4×D3—22no—
405C4×D3—64no—
406C4×D3—64no—
407C4×D3—64no—
408C4×D3—62no—
409C4×D3—62no—
410C4×D3—62no—
411C4×D3—62no—
412C4×D3—64no—
413C4×D3—122no—
414C4×D3—122no—
415C4×D3ΓL(1,𝔽25)14yescomplemented
416C4×D3D3×D412yes—
417C4×D3#23912yes—
418C3×C8—22no—
419C3×C8—22no—
420C3×C8—32no—
421C3×C8—42no—
422C3×C8—62no—
423C3×C8—61no—
424C3⋊C8—22no—
425C3⋊C8—21no—
426C3⋊C8—32no—
427C3⋊C8—32no—
428C3⋊C8—62no—
429C3⋊C8—61no—
430C3⋊C8—61no—
431C3⋊C8—121no—
432C3⋊C8D3×D412yescomplemented
433C2×C32C2×C4×D411yescharacteristic
434C2×C32C22×M1611yescharacteristic
435C2×C32C2×#13111yescharacteristic
436C3⋊D3—42no—
437C3×D3—42no—
438C3×D3#43614yescomplemented
439C24—92no—
440C2×D4—31no—
441C2×D4—92no—
442C2×D4—91no—
443C2×D4—184no—
444C22×C4—31no—
445C22×C4—31no—
446C22×C4—32no—
447C22×C4—31no—
448C22×C4—92no—
449C22×C4—92no—
450C22×C4—92no—
451C22×C4—92no—
452C22×C4—184no—
453C22×C4—184no—
454M16—64no—
455M16—184no—
456M16—184no—
457M16—184no—
458C2×C8—31no—
459C2×C8—31no—
460C2×C8—32no—
461C2×C8—64no—
462C2×C8—94no—
463C2×C8—91no—
464C2×C8—91no—
465C2×C8—182no—
466C2×C8C2×D3212yes—
467C4⋊C4—31no—
468C4⋊C4—92no—
469C4⋊C4—91no—
470C22⋊C4—32no—
471C22⋊C4—92no—
472C22⋊C4—92no—
473C22⋊C4—92no—
474C42—31no—
475C42—31no—
476C42—31no—
477C42C2×D3211yescharacteristic
478C22×C3—21no—
479C22×C3—32no—
480C22×C3—32no—
481C22×C3—32no—
482C22×C3—62no—
483C22×C3—62no—
484C22×C3—62no—
485C22×C3C22×C4×D311yescharacteristic
486C22×C3C22×C4×D311yescharacteristic
487C2×D3—22no—
488C2×D3—22no—
489C2×D3—22no—
490C2×D3—62no—
491C2×D3—62no—
492C2×D3—62no—
493C2×D3—62no—
494C2×D3—62no—
495C2×D3—62no—
496C2×D3—122no—
497C2×D3—122no—
498C2×D3—122no—
499C2×D3—128no—
500C2×D3—128no—
501C2×D3#89312yes—
502C2×D3C2×ΓL(1,𝔽25)12yes—
503C2×D3#90712yes—
504C3×C4—21no—
505C3×C4—21no—
506C3×C4—22no—
507C3×C4—21no—
508C3×C4—21no—
509C3×C4—32no—
510C3×C4—32no—
511C3×C4—41no—
512C3×C4—61no—
513C3×C4—62no—
514C3×C4C2×ΓL(1,𝔽25)12yescomplemented
515C3×C4D3×M1612yescomplemented
516C3×C4C2×D3×D411yescharacteristic
517C3×C4C2×D3×D411yescharacteristic
518C3×C4C2×#23911yescharacteristic
519C3×C4D3×#4111yescharacteristic
520Dic3—21no—
521Dic3—22no—
522Dic3—62no—
523Dic3—62no—
524Dic3—122no—
525Dic3#89312yes—
526Dic3C2×ΓL(1,𝔽25)12yescomplemented
527C32C2×#43611yescharacteristic, complemented, Sylow
528C23—31no—
529C23—32no—
530C23—92no—
531C23—184no—
532C23—184no—
533C23—184no—
534D4—62no—
535D4—184no—
536D4—182no—
537C2×C4—31no—
538C2×C4—31no—
539C2×C4—34no—
540C2×C4—32no—
541C2×C4—32no—
542C2×C4—31no—
543C2×C4—32no—
544C2×C4—62no—
545C2×C4—62no—
546C2×C4—62no—
547C2×C4—92no—
548C2×C4—184no—
549C2×C4—184no—
550C2×C4—184no—
551C2×C4—182no—
552C2×C4—182no—
553C2×C4C4×D3211yescharacteristic
554C2×C4C4×D3211yescharacteristic
555C2×C4C22×D3211yescharacteristic
556C8—22no—
557C8—32no—
558C8—62no—
559C8—61no—
560C8—92no—
561C8—181no—
562C2×C3—21no—
563C2×C3—21no—
564C2×C3—21no—
565C2×C3—34no—
566C2×C3—122no—
567C2×C3C2×#89311yescharacteristic
568C2×C3C4×D3×D411yescharacteristic
569C2×C3C22×ΓL(1,𝔽25)11yescharacteristic
570C2×C3C2×D3×M1611yescharacteristic
571C2×C3C2×#90711yescharacteristic
572C2×C3D3×#13111yescharacteristic
573D3—42no—
574D3—122no—
575D3—122no—
576D3—242no—
577D3#483814yesdirect product factor
578C22—32no—
579C22—32no—
580C22—32no—
581C22—62no—
582C22—62no—
583C22—62no—
584C22—182no—
585C22—182no—
586C22—182no—
587C22—368no—
588C22C2×C4×D3211yescharacteristic
589C4—21no—
590C4—32no—
591C4—32no—
592C4—62no—
593C4—61no—
594C4—182no—
595C4D3×ΓL(1,𝔽25)12yescomplemented
596C4D32×D411yescharacteristic
597C4D3×#23911yescharacteristic
598C3—21no—
599C3C2×#483811yescharacteristic, complemented
600C3D3×#43611yescharacteristic, complemented
601C2—34no—
602C2—122no—
603C2—362no—
604C2D3×#89311yescharacteristic
605C2C2×D3×ΓL(1,𝔽25)11yescharacteristic
606C2D3×#90711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D32
commutator, socleC22×C32C23×C4
FittingC32×C4⋊C8C22
prime radicalC2×D3×D12C4
cosocleC2×C32×C4C24
hypercenterC4⋊C8D32
hypocenterC32C2×#436
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×D3×ΓL(1,𝔽25)C2semidirect
3. #10592537C2semidirect
4. C3×#4838C2semidirect
5. C3×D3×C4⋊C8C2semidirect
6. D3×(C2×D3)⋊C8C2semidirect
7. #10590732C2semidirect
8. #10590731C2semidirect
9. #10590339C2semidirect
10. #10590338C2semidirect
11. C4×D3×C3⋊C8C2semidirect
16. C2×#3743C22semidirect
18. C2×C3×ΓL(1,𝔽25)C22semidirect
28. C2×#3712C22semidirect
29. C2×#3711C22semidirect
33. C32×C4⋊C8C22semidirect
34. #63647C22semidirect
35. C4×C3⋊(C3⋊C8)C22semidirect
36. C3×(C2×D3)⋊C8C22semidirect
37. C3×Dic3⋊C8C22semidirect
38. C3×C4⋊(C3⋊C8)C22semidirect
39. C3×C4×C3⋊C8C22semidirect
40. #63557C22semidirect
41. (C2×D3)⋊(C3⋊C8)C22semidirect
42. Dic3×C3⋊C8C22semidirect
43. Dic3×C3⋊C8C22semidirect
61. #4838D3direct (N × H)
62. D3×C4⋊C8D3semidirect
105. D3×C3⋊C8D4semidirect
130. C2×ΓL(1,𝔽25)C2×D3semidirect
150. C3×C4⋊C8C2×D3semidirect
151. C3×C4⋊C8C2×D3semidirect
161. (C2×D3)⋊C8C2×D3semidirect
162. Dic3⋊C8C2×D3semidirect
165. C4⋊(C3⋊C8)C2×D3semidirect
171. C4×C3⋊C8C2×D3semidirect
193. C3×C4×D3M16semidirect
202. C3⋊(C3⋊C8)C2×D4semidirect
205. C3×C3⋊C8C2×D4semidirect
316. C32×C4C2×M16semidirect
323. C3×Dic3C2×M16semidirect
345. C4⋊C8D32semidirect
415. C4×D3ΓL(1,𝔽25)semidirect
432. C3⋊C8D3×D4semidirect
438. C3×D3#436semidirect
514. C3×C4C2×ΓL(1,𝔽25)semidirect
515. C3×C4D3×M16semidirect
526. Dic3C2×ΓL(1,𝔽25)semidirect
527. C32C2×#436semidirect
577. D3#4838direct (N × H)
595. C4D3×ΓL(1,𝔽25)semidirect
599. C3C2×#4838semidirect
600. C3D3×#436semidirect

Maximal subgroups

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

subgroupindex
C2×D3×ΓL(1,𝔽25)2
C4×D3×D122
#105925372
C3×#48382
C3×D3×C4⋊C82
D3×(C2×D3)⋊C82
#105907322
#105907312
#105903392
#105903382
C4×D3×C3⋊C82
D3×#4363
C2×#48383