Finite Group Databasebeta

← #14326214

Subgroups — #14326214

Order 1920.

1744 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#235C211yesmaximal, characteristic
2C2×ΓL(1,𝔽16)⋊Q8C212yesmaximal, complemented
3C4×#6763C211yesmaximal, characteristic, complemented
4C3×#65765C211yesmaximal, characteristic, complemented
5#11752019C214yesmaximal, complemented
6#11751857C212yesmaximal, complemented
7#11751854C212yesmaximal, complemented
8#11751848C212yesmaximal, complemented
9#10617558—31nomaximal, Hall
10C2×#6817C411yescharacteristic, complemented
11C2×C5×#235C411yescharacteristic, complemented
12C22×C3×C4×D5C2211yescharacteristic
13C2×D5×#67C2212yes—
14C2×#6782C412yescomplemented
15D5×#235—28no—
16C2×D5×D12C2211yescharacteristic
17C2×C4×D3×D5C2212yes—
18C2×#6773C411yescharacteristic, complemented
19C2×#6772C411yescharacteristic, complemented
20C2×#6771C412yescomplemented
21C2×D5×Dic6C2211yescharacteristic
22C2×#6763C2212yes—
23C2×C4×ΓL(1,𝔽16)C2212yes—
24C2×C3×C22⋊AGL(1,𝔽5)C2212yes—
25C2×C3×C4⋊AGL(1,𝔽5)C2212yes—
26C2×Dic3⋊AGL(1,𝔽5)C2214yes—
27C2×(C2×D3)⋊AGL(1,𝔽5)C2214yes—
28C2×(C2×D3)⋊AGL(1,𝔽5)C2214yes—
29C2×Dic3×AGL(1,𝔽5)C2214yes—
30ΓL(1,𝔽16)⋊Q8—28no—
31#91235C2211yescharacteristic
32#91235C2211yescharacteristic
33C3×(C2×AGL(1,𝔽5))⋊C4C2212yes—
34#73877—51nomaximal, Hall
35C2×D5×#41—31no—
36C2×Q8×AGL(1,𝔽5)—32no—
37#65780—34no—
38#65780—32no—
39#65765—32no—
40#65765D311yescharacteristic, complemented
41C4×C22⋊AGL(1,𝔽5)—32no—
42C4×C22⋊AGL(1,𝔽5)—31no—
43C23×C3×D5C2311yescharacteristic
44C22×D3×D5C2312yes—
45C22×ΓL(1,𝔽16)C2312yes—
46C22×ΓL(1,𝔽16)C2312yes—
47C22×C3×AGL(1,𝔽5)C2314yes—
48C22×C3×C4×C5C2×C411yescharacteristic
49C2×#1220C2×C412yes—
50#6817—24no—
51C2×D60C2×C411yescharacteristic
52C2×C4×D15C2×C412yes—
53C2×Dic30C2×C411yescharacteristic
54C2×C5×#67C2×C412yes—
55C5×#235—24no—
56C2×C5×D12C2×C411yescharacteristic
57C2×C4×C5×D3C2×C412yes—
58C2×C5×Dic6C2×C411yescharacteristic
59C22×C3×Dic5C2×C411yescharacteristic
60C2×C3×C4×D5—24no—
61C2×C3×C4×D5C2×C411yescharacteristic
62C2×C3×C4×D5C2×C411yescharacteristic
63C2×C3×C4×D5C2311yescharacteristic
64C2×C3×C4×D5C2311yescharacteristic
65D5×#67—28no—
66C2×#1204C2×C412yes—
67C2×#1203C2×C412yes—
68C2×#1202C2×C412yes—
69C2×#1201C2×C412yes—
70C2×#1200C2×C412yes—
71#6782—28no—
72C2×D3×Dic5C2×C412yes—
73C2×D5×Dic3C2312yes—
74D5×D12—24no—
75C4×D3×D5—28no—
76#6773—24no—
77#6772—24no—
78#6771—28no—
79D5×Dic6D418yes—
80#6763—24no—
81C4×ΓL(1,𝔽16)—24no—
82C3×C22⋊AGL(1,𝔽5)—42no—
83C3×C4⋊AGL(1,𝔽5)—24no—
84Dic3⋊AGL(1,𝔽5)—28no—
85(C2×D3)⋊AGL(1,𝔽5)—28no—
86(C2×D3)⋊AGL(1,𝔽5)—44no—
87Dic3×AGL(1,𝔽5)—28no—
88C22×#235—51no—
89C2×#887—52no—
90C3×#380—51no—
91C4×#217—51no—
92#4988—52no—
93#4957—54no—
94#4667—52no—
95#4666—52no—
96C2×C5×#41—31no—
97D5×#41—68no—
98C2×#713—31no—
99C2×Q8×D5—31no—
100C2×#711—32no—
101C2×#711—31no—
102C2×D4×D5—32no—
103C2×D4×D5—31no—
104C2×#709—31no—
105C2×#709—32no—
106C22×C4×D5—32no—
107C22×C4×D5C2×D311yescharacteristic
108C2×C22⋊AGL(1,𝔽5)—32no—
109C2×C22⋊AGL(1,𝔽5)—34no—
110C2×C22⋊AGL(1,𝔽5)—34no—
111C2×C22⋊AGL(1,𝔽5)C2×D312yes—
112Q8×AGL(1,𝔽5)—68no—
113C2×C4⋊AGL(1,𝔽5)—34no—
114C2×C4⋊AGL(1,𝔽5)C2×D312yes—
115C2×C4×AGL(1,𝔽5)—34no—
116C2×C4×AGL(1,𝔽5)—32no—
117(C2×AGL(1,𝔽5))⋊C4—31no—
118(C2×AGL(1,𝔽5))⋊C4—31no—
119(C2×AGL(1,𝔽5))⋊C4C2×D312yes—
120#2341—151noSylow
121C23×C3×C5C22×C411yescharacteristic
122C22×D15C22×C412yes—
123C22×C5×D3C22×C412yes—
124C22×C3×D5—22no—
125C22×C3×D5—22no—
126C22×C3×D5—21no—
127C22×C3×D5—21no—
128C22×C3×D5C22×C411yescharacteristic
129C22×C3×D5C2411yescharacteristic
130C2×D3×D5—24no—
131C2×D3×D5—24no—
132C2×D3×D5—22no—
133C2×D3×D5—22no—
134C2×ΓL(1,𝔽16)—22no—
135C2×ΓL(1,𝔽16)—22no—
136C2×ΓL(1,𝔽16)—22no—
137C2×ΓL(1,𝔽16)—22no—
138C2×ΓL(1,𝔽16)—22no—
139C2×ΓL(1,𝔽16)#4114yescomplemented
140C2×C3×AGL(1,𝔽5)—24no—
141C2×C3×AGL(1,𝔽5)—24no—
142C2×C3×AGL(1,𝔽5)—24no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5C22×C411yescharacteristic
145C2×C3×C4×C5C22×C411yescharacteristic
146#1220—24no—
147C2×Dic15C22×C412yes—
148D60—22no—
149C4×D15—24no—
150Dic30C22⋊C414yescomplemented
151C5×#67—24no—
152C2×C5×Dic3C22×C412yes—
153C5×D12—22no—
154C4×C5×D3—24no—
155C5×Dic6C22⋊C414yescomplemented
156C2×C3×Dic5—22no—
157C2×C3×Dic5C22×C411yescharacteristic
158C2×C3×Dic5C22×C411yescharacteristic
159C3×C4×D5—22no—
160C3×C4×D5—22no—
161C3×C4×D5—22no—
162C3×C4×D5C2×D414yes—
163#1204C22⋊C418yescomplemented
164#1203—24no—
165#1202—24no—
166#1201—24no—
167#1200—24no—
168D3×Dic5—24no—
169D5×Dic3C2×D418yes—
170C23×C3×C4—51no—
171C22×#67—52no—
172C2×#235—51no—
173C2×#235—52no—
174C2×#235—51no—
175C2×#235—52no—
176C2×#235—51no—
177C2×#235—108no—
178C2×#235AGL(1,𝔽5)11yescharacteristic, complemented
179C22×D12—51no—
180C22×C4×D3—52no—
181C22×Dic6—51no—
182C2×C3×C4⋊C4—52no—
183C2×C3×C22⋊C4—52no—
184C2×#217—52no—
185C2×(C2×D3)⋊C4—54no—
186C2×(C2×D3)⋊C4—54no—
187C2×Dic3⋊C4—54no—
188C2×C4×Dic3—54no—
189C2×C4×Dic3—52no—
190#887—108no—
191C3×#95—52no—
192C3⋊#95—51no—
193C3⋊#95—51no—
194C23×D5—32no—
195C23×D5C22×D311yescharacteristic
196C22×AGL(1,𝔽5)—32no—
197C22×AGL(1,𝔽5)—32no—
198C22×AGL(1,𝔽5)C22×D314yes—
199C5×#41—64no—
200C2×C5×Q8—31no—
201C2×C5×D4—32no—
202C2×C5×D4—31no—
203C22×C4×C5—32no—
204C22×C4×C5C4×D311yescharacteristic
205C2×C22⋊D5—32no—
206C2×C22⋊D5—32no—
207C2×C22⋊D5—32no—
208C22×Dic5—32no—
209C22×Dic5C4×D311yescharacteristic
210#713—64no—
211Q8×D5—38no—
212#711—64no—
213#711—68no—
214D4×D5—68no—
215D4×D5—64no—
216#709—68no—
217#709—64no—
218C2×D20—32no—
219C2×D20—31no—
220C2×C4×D5—24no—
221C2×C4×D5—32no—
222C2×C4×D5—32no—
223C2×C4×D5—32no—
224C2×C4×D5—68no—
225C2×C4×D5C4×D311yescharacteristic
226C2×C4×D5C4×D311yescharacteristic
227C2×C4×D5C22×D311yescharacteristic
228C2×C4×D5C22×D311yescharacteristic
229C2×Dic10—31no—
230C2×Dic10—32no—
231C22⋊AGL(1,𝔽5)—42no—
232C22⋊AGL(1,𝔽5)—68no—
233C22⋊AGL(1,𝔽5)—64no—
234C22⋊AGL(1,𝔽5)—124no—
235C4⋊AGL(1,𝔽5)—24no—
236C4⋊AGL(1,𝔽5)—68no—
237C4×AGL(1,𝔽5)—68no—
238C4×AGL(1,𝔽5)—64no—
239C22×#41—151no—
240C2×C4×Q8—152no—
241#390—154no—
242#390—152no—
243#380—51no—
244#380—152no—
245C4×C22⋊C4—152no—
246C4×C22⋊C4—151no—
247C22×C3×C5—21no—
248C22×C3×C5—21no—
249C22×C3×C5—21no—
250C22×C3×C5C23×C411yescharacteristic
251C2×D15—22no—
252C2×D15—22no—
253C2×D15—22no—
254C2×C5×D3—22no—
255C2×C5×D3—22no—
256C2×C5×D3—22no—
257C2×C3×D5—21no—
258C2×C3×D5—21no—
259C2×C3×D5—21no—
260C2×C3×D5—42no—
261C2×C3×D5—42no—
262C2×C3×D5C22×D412yes—
263C2×C3×D5C2×#4112yes—
264C2×C3×D5H(5,𝔽2)11yescharacteristic
265C2×C3×D52−1+411yescharacteristic
266D3×D5—44no—
267D3×D5—44no—
268ΓL(1,𝔽16)—24no—
269ΓL(1,𝔽16)—42no—
270C3×AGL(1,𝔽5)—44no—
271C3×C4×C5—21no—
272C3×C4×C5C2×C22⋊C412yes—
273Dic15C2×C22⋊C414yes—
274C3×Dic5—21no—
275C3×Dic5C2×C22⋊C412yes—
276C5×Dic3C2×C22⋊C414yes—
277C24×C3—51no—
278C23×D3—52no—
279C22×C3×C4—51no—
280C22×C3×C4—51no—
281C22×C3×C4—51no—
282C22×C3×C4—51no—
283C22×C3×C4—51no—
284C22×C3×C4—54no—
285C22×C3×C4—104no—
286C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic
287C2×#67—52no—
288C2×#67—52no—
289C2×#67—52no—
290C2×#67—108no—
291C2×#67C2×AGL(1,𝔽5)12yes—
292C22×Dic3—52no—
293C22×Dic3—52no—
294C22×Dic3—52no—
295#235—24no—
296#235—108no—
297#235—104no—
298#235—108no—
299#235—104no—
300#235—104no—
301C2×D12—52no—
302C2×D12—51no—
303C2×D12—104no—
304C2×D12C2×AGL(1,𝔽5)11yescharacteristic
305C2×C4×D3—52no—
306C2×C4×D3—52no—
307C2×C4×D3—52no—
308C2×C4×D3—108no—
309C2×C4×D3C2×AGL(1,𝔽5)12yes—
310C2×Dic6—51no—
311C2×Dic6—52no—
312C2×Dic6—58no—
313C2×Dic6C2×AGL(1,𝔽5)11yescharacteristic
314C3×C4⋊C4—104no—
315C3×C22⋊C4—202no—
316#217—104no—
317(C2×D3)⋊C4—108no—
318(C2×D3)⋊C4—204no—
319Dic3⋊C4—108no—
320C4×Dic3—108no—
321C4×Dic3—104no—
322C23×C5—32no—
323C23×C5C2×C4×D311yescharacteristic
324C22×D5—22no—
325C22×D5—21no—
326C22×D5—21no—
327C22×D5—22no—
328C22×D5—32no—
329C22×D5—64no—
330C22×D5—62no—
331C22×D5—62no—
332C22×D5—64no—
333C22×D5C2×C4×D311yescharacteristic
334C22×D5C23×D311yescharacteristic
335C2×AGL(1,𝔽5)—24no—
336C2×AGL(1,𝔽5)—24no—
337C2×AGL(1,𝔽5)—24no—
338C2×AGL(1,𝔽5)—34no—
339C2×AGL(1,𝔽5)—62no—
340C2×AGL(1,𝔽5)—62no—
341C2×AGL(1,𝔽5)—62no—
342C2×AGL(1,𝔽5)—62no—
343C2×AGL(1,𝔽5)—62no—
344C5×Q8—34no—
345C5×D4—64no—
346C5×D4—62no—
347C2×C4×C5—22no—
348C2×C4×C5—32no—
349C2×C4×C5—64no—
350C2×C4×C5C2×C4×D311yescharacteristic
351C2×C4×C5C2×C4×D311yescharacteristic
352C22⋊D5—64no—
353C22⋊D5—64no—
354C22⋊D5—64no—
355C2×Dic5—22no—
356C2×Dic5—32no—
357C2×Dic5—64no—
358C2×Dic5C2×C4×D311yescharacteristic
359C2×Dic5C2×C4×D311yescharacteristic
360D20—64no—
361D20—62no—
362C4×D5—22no—
363C4×D5—22no—
364C4×D5—22no—
365C4×D5—38no—
366C4×D5—64no—
367C4×D5—64no—
368C4×D5D3×D414yes—
369Dic10—34no—
370Dic10—38no—
371C2×#41—31no—
372C2×#41—152no—
373C2×#41—152no—
374C2×#41—151no—
375C2×#41—151no—
376C2×#41—151no—
377C2×#41—308no—
378C22×Q8—151no—
379C22×D4—151no—
380C22×D4—152no—
381C23×C4—51no—
382C23×C4—152no—
383C4×Q8—308no—
384C2×C4⋊C4—52no—
385C2×C4⋊C4—154no—
386C2×C22⋊C4—52no—
387C2×C22⋊C4—154no—
388C2×C22⋊C4—152no—
389C2×C22⋊C4—154no—
390C2×C42—152no—
391C2×C42—154no—
392#95—52no—
393#95—151no—
394#95—151no—
395C2×C3×C5—41no—
396C2×C3×C5C22×C22⋊C411yescharacteristic
397C2×C3×C5C4×#4111yescharacteristic
398C2×C3×C5#52011yescharacteristic
399D15—42no—
400C3×D5—41no—
401C3×D5#54812yes—
402C3×D5#55012yes—
403C5×D3—42no—
404C23×C3—51no—
405C23×C3—51no—
406C23×C3—102no—
407C23×C3—101no—
408C23×C3—102no—
409C23×C3—101no—
410C23×C3C22×AGL(1,𝔽5)11yescharacteristic
411C22×D3—52no—
412C22×D3—104no—
413C22×D3—102no—
414C22×D3—104no—
415C22×D3—102no—
416C22×D3C22×AGL(1,𝔽5)12yes—
417C2×C3×C4—22no—
418C2×C3×C4—51no—
419C2×C3×C4—54no—
420C2×C3×C4—51no—
421C2×C3×C4—102no—
422C2×C3×C4—102no—
423C2×C3×C4—102no—
424C2×C3×C4—102no—
425C2×C3×C4—104no—
426C2×C3×C4—104no—
427C2×C3×C4—104no—
428C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
429C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
430#67—24no—
431#67—104no—
432#67—104no—
433#67—104no—
434C2×Dic3—52no—
435C2×Dic3—58no—
436C2×Dic3—54no—
437C2×Dic3—102no—
438C2×Dic3—102no—
439C2×Dic3—102no—
440C2×Dic3—102no—
441C2×Dic3—102no—
442C2×Dic3C22×AGL(1,𝔽5)12yes—
443D12—22no—
444D12—104no—
445D12—102no—
446C4×D3—24no—
447C4×D3—104no—
448C4×D3—104no—
449C4×D3—104no—
450Dic6—54no—
451Dic6—58no—
452Dic6C22⋊AGL(1,𝔽5)14yescomplemented
453C22×C5—21no—
454C22×C5—21no—
455C22×C5—21no—
456C22×C5—62no—
457C22×C5—62no—
458C22×C5—62no—
459C22×C5C22×C4×D311yescharacteristic
460C2×D5—21no—
461C2×D5—21no—
462C2×D5—21no—
463C2×D5—42no—
464C2×D5—42no—
465C2×D5—62no—
466C2×D5—62no—
467C2×D5—62no—
468C2×D5—124no—
469C2×D5—124no—
470C2×D5C2×D3×D412yes—
471C2×D5#100411yescharacteristic
472C2×D5#100711yescharacteristic
473C2×D5D3×#4112yes—
474AGL(1,𝔽5)—44no—
475AGL(1,𝔽5)—64no—
476AGL(1,𝔽5)—122no—
477C4×C5—21no—
478C4×C5—34no—
479C4×C5D3×C22⋊C412yes—
480Dic5—21no—
481Dic5—34no—
482Dic5D3×C22⋊C412yes—
483C24—51no—
484C24—152no—
485#41—64no—
486#41—304no—
487#41—308no—
488#41—308no—
489#41—304no—
490#41—304no—
491C2×Q8—31no—
492C2×Q8—152no—
493C2×Q8—158no—
494C2×Q8—151no—
495C2×D4—32no—
496C2×D4—31no—
497C2×D4—152no—
498C2×D4—152no—
499C2×D4—152no—
500C2×D4—152no—
501C2×D4—151no—
502C2×D4—304no—
503C2×D4—308no—
504C22×C4—32no—
505C22×C4—51no—
506C22×C4—51no—
507C22×C4—51no—
508C22×C4—51no—
509C22×C4—51no—
510C22×C4—54no—
511C22×C4—104no—
512C22×C4—152no—
513C22×C4—152no—
514C22×C4—152no—
515C22×C4—152no—
516C22×C4—152no—
517C22×C4—152no—
518C22×C4—308no—
519C22×C4D3×AGL(1,𝔽5)11yescharacteristic
520C4⋊C4—104no—
521C4⋊C4—308no—
522C22⋊C4—202no—
523C22⋊C4—308no—
524C22⋊C4—304no—
525C22⋊C4—604no—
526C42—304no—
527C42—308no—
528C3×C5#234111yescharacteristic, complemented, Hall
529C22×C3—21no—
530C22×C3—21no—
531C22×C3—21no—
532C22×C3—52no—
533C22×C3—51no—
534C22×C3—51no—
535C22×C3—52no—
536C22×C3—101no—
537C22×C3—101no—
538C22×C3—101no—
539C22×C3—202no—
540C22×C3—202no—
541C22×C3C23×AGL(1,𝔽5)11yescharacteristic
542C2×D3—22no—
543C2×D3—22no—
544C2×D3—22no—
545C2×D3—102no—
546C2×D3—102no—
547C2×D3—102no—
548C2×D3—204no—
549C2×D3—204no—
550C3×C4—21no—
551C3×C4—52no—
552C3×C4—101no—
553C3×C4—204no—
554C3×C4C2×C22⋊AGL(1,𝔽5)12yes—
555Dic3—54no—
556Dic3—104no—
557Dic3—202no—
558Dic3C2×C22⋊AGL(1,𝔽5)14yes—
559C2×C5—41no—
560C2×C5—122no—
561C2×C5C2×D3×C22⋊C411yescharacteristic
562C2×C5#550411yescharacteristic
563C2×C5#552211yescharacteristic
564D5—41no—
565D5—122no—
566D5#559912yes—
567D5#563312yes—
568C23—32no—
569C23—51no—
570C23—51no—
571C23—101no—
572C23—102no—
573C23—102no—
574C23—101no—
575C23—152no—
576C23—304no—
577C23—302no—
578C23—304no—
579C23—302no—
580C23C2×D3×AGL(1,𝔽5)11yescharacteristic
581Q8—34no—
582Q8—158no—
583Q8—154no—
584D4—64no—
585D4—62no—
586D4—304no—
587D4—304no—
588D4—304no—
589D4—304no—
590D4—302no—
591C2×C4—22no—
592C2×C4—32no—
593C2×C4—51no—
594C2×C4—54no—
595C2×C4—51no—
596C2×C4—64no—
597C2×C4—102no—
598C2×C4—102no—
599C2×C4—102no—
600C2×C4—102no—
601C2×C4—104no—
602C2×C4—104no—
603C2×C4—104no—
604C2×C4—158no—
605C2×C4—152no—
606C2×C4—154no—
607C2×C4—304no—
608C2×C4—304no—
609C2×C4—304no—
610C2×C4—302no—
611C2×C4—302no—
612C2×C4—302no—
613C2×C4—302no—
614C2×C4—302no—
615C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
616C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
617C2×C3—41no—
618C2×C3—52no—
619C2×C3—52no—
620C2×C3—201no—
621C2×C3#41×AGL(1,𝔽5)11yescharacteristic
622C2×C3#6626611yescharacteristic
623C2×C3C22×C22⋊AGL(1,𝔽5)11yescharacteristic
624D3—42no—
625D3—202no—
626C5#7387711yescharacteristic, complemented, Sylow
627C22—21no—
628C22—21no—
629C22—21no—
630C22—52no—
631C22—51no—
632C22—51no—
633C22—52no—
634C22—62no—
635C22—62no—
636C22—62no—
637C22—101no—
638C22—101no—
639C22—101no—
640C22—202no—
641C22—202no—
642C22—302no—
643C22—302no—
644C22—302no—
645C22—604no—
646C22—604no—
647C22C22×D3×AGL(1,𝔽5)11yescharacteristic
648C4—21no—
649C4—34no—
650C4—52no—
651C4—101no—
652C4—154no—
653C4—204no—
654C4—304no—
655C4—602no—
656C4D3×C22⋊AGL(1,𝔽5)12yes—
657C3#1061755811yescharacteristic, complemented, Sylow
658C2—41no—
659C2—52no—
660C2—52no—
661C2—122no—
662C2—201no—
663C2—602no—
664C2#1175683511yescharacteristic
665C2#1175683611yescharacteristic
666C2C2×D3×C22⋊AGL(1,𝔽5)11yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×AGL(1,𝔽5)
commutator, socleC22×C3×C5C23×C4
FittingC22×C3×C4×C5C2×C4
prime radicalC2×D5×#235C2
cosocleC22×C3×D5C24
hypercenterC22×C4D3×AGL(1,𝔽5)
hypocenterC3×C5#2341
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
2. C2×ΓL(1,𝔽16)⋊Q8C2semidirect
3. C4×#6763C2semidirect
4. C3×#65765C2semidirect
5. #11752019C2semidirect
6. #11751857C2semidirect
7. #11751854C2semidirect
8. #11751848C2semidirect
10. C2×#6817C4semidirect
11. C2×C5×#235C4semidirect
14. C2×#6782C4semidirect
18. C2×#6773C4semidirect
19. C2×#6772C4semidirect
20. C2×#6771C4semidirect
40. #65765D3semidirect
139. C2×ΓL(1,𝔽16)#41semidirect
150. Dic30C22⋊C4semidirect
155. C5×Dic6C22⋊C4semidirect
163. #1204C22⋊C4semidirect
178. C2×#235AGL(1,𝔽5)semidirect
452. Dic6C22⋊AGL(1,𝔽5)semidirect
528. C3×C5#2341semidirect
626. C5#73877semidirect
657. C3#10617558semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#2352
C2×ΓL(1,𝔽16)⋊Q82
C4×#67632
C3×#657652
#117520192
#117518572
#117518542
#117518482
#106175583
#738775