Finite Group Databasebeta

← C4×D11×H(5,𝔽2) #15660372

Subgroups — C4×D11×H(5,𝔽2) #15660372

Order 2816.

12378 conjugacy classes of subgroups.

The subgroup lattice has 536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×H(5,𝔽2)C211yesmaximal, characteristic
2H(5,𝔽2)×Dic11C211yesmaximal, characteristic, complemented
3C4×#67042C216yesmaximal, complemented
4#13081822C216yesmaximal, complemented
5C4×#67037C219yesmaximal, complemented
6#13081820C219yesmaximal, complemented
7D11×#520C216yesmaximal, complemented
8D11×#518C219yesmaximal, complemented
9C4×#41×D11C216yesmaximal, complemented
10C2×C4×D4×D11C219yesmaximal, complemented
11C4×C11×H(5,𝔽2)C211yesmaximal, characteristic, complemented
12C2×C11×H(5,𝔽2)C2211yescharacteristic
13D11×H(5,𝔽2)C4132yesdirect product factor
14C2×#67042C2216yes—
15C2×#41×D11C2216yes—
16C2×#67037C2219yes—
17C22×D4×D11C2219yes—
18C23×C4×D11C2216yescomplemented
19C11×#520C2216yescomplemented
20C11×#518C2219yescomplemented
21C4×C11×#41C2216yescomplemented
22C2×C4×D4×C11C2219yescomplemented
23#10623358C2216yescomplemented
24#41×Dic11C2216yescomplemented
25#10623329C2219yescomplemented
26C2×D4×Dic11C2219yescomplemented
27C2×C4×C22⋊D11C22118yescomplemented
28#10623105C22112yescomplemented
29C4×#4343C2216yescomplemented
30C4×#4343C2216yescomplemented
31C4×Q8×D11C2212yescomplemented
32C4×Q8×D11C2216yescomplemented
33#10623077C22136yescomplemented
34#10623076C22136yescomplemented
35#10623076C22136yescomplemented
36C4×D4×D11C22118yescomplemented
37C4×D4×D11C22136yescomplemented
38C4×D4×D11C22118yescomplemented
39C4×D4×D11C22136yescomplemented
40C4×D4×D11C22136yescomplemented
41C4×#4341C22118yescomplemented
42C4×#4341C22118yescomplemented
43#10623054C22118yescomplemented
44#10623053C22118yescomplemented
45#10623052C22118yescomplemented
46D11×#117C22118yescomplemented
47#10623035C22118yescomplemented
48C2×#66946C2219yescomplemented
49C2×C4⋊C4×D11C2219yescomplemented
50#10623017C22136yescomplemented
51C2×(C22⋊D11)⋊C4C22118yescomplemented
52C2×C22⋊C4×D11C22118yescomplemented
53C4×#4339C22118yescomplemented
54C2×C4×D44C2219yescomplemented
55C2×C42×D11C2219yescomplemented
56C24×D11C2316yes—
57C11×H(5,𝔽2)C2×C4116yescomplemented
58C2×C11×#41C2316yes—
59C22×D4×C11C2319yes—
60C23×C4×C11C2316yescomplemented
61C22×C22⋊D11C23118yes—
62C23×Dic11C2316yescomplemented
63#67042C2×C4196yescomplemented
64#41×D11C2×C4196yescomplemented
65C2×#4343C2316yes—
66C2×Q8×D11C2312yes—
67#67037C2×C41144yescomplemented
68C2×#4341C23118yes—
69C2×D4×D11C2×C41144yescomplemented
70C2×D4×D11C23118yes—
71C2×D4×D11C23136yes—
72C2×#4339C23118yes—
73C22×D44C2319yes—
74C22×C4×D11—424no—
75C22×C4×D11C2319yes—
76C22×C4×D11C2319yes—
77C22×C4×D11C23118yes—
78C22×C4×D11C2319yes—
79C22×C4×D11C23118yescomplemented
80C22×C4×D11C23118yescomplemented
81C4×Q8×C11C2312yescomplemented
82C4×Q8×C11C2316yescomplemented
83C4×D4×C11C23118yescomplemented
84C4×D4×C11C23118yescomplemented
85C4×D4×C11C23136yescomplemented
86C11×#117C23118yescomplemented
87C2×C11×C4⋊C4C2319yescomplemented
88C2×C11×C22⋊C4C23118yescomplemented
89C2×C42×C11C2319yescomplemented
90C2×C22⋊Dic11C23118yescomplemented
91Q8×Dic11C2312yescomplemented
92Q8×Dic11C2316yescomplemented
93D4×Dic11C23118yescomplemented
94D4×Dic11C23118yescomplemented
95D4×Dic11C23136yescomplemented
96C4×C22⋊D11C23136yescomplemented
97C4×C22⋊D11C23136yescomplemented
98C4×C22⋊D11C23172yescomplemented
99C2×(C2×D11)⋊C4C23118yescomplemented
100C2×(C2×D11)⋊C4C23118yescomplemented
101#66979C23118yescomplemented
102C2×C4⋊Dic11C2319yescomplemented
103C2×Dic11⋊C4C23118yescomplemented
104C2×C4×Dic11C2319yescomplemented
105C2×C4×Dic11C2319yescomplemented
106C2×C4×Dic11C2319yescomplemented
107#66946C23118yescomplemented
108#66946C23136yescomplemented
109#66946C23118yescomplemented
110#66945C23118yescomplemented
111#66945C23118yescomplemented
112C4⋊C4×D11C23118yes—
113C4⋊C4×D11C2316yes—
114C4⋊C4×D11C23136yescomplemented
115#66940C23118yescomplemented
116#66940C2316yescomplemented
117(C22⋊D11)⋊C4C23136yescomplemented
118(C22⋊D11)⋊C4C23172yescomplemented
119(C22⋊D11)⋊C4C23136yescomplemented
120C22⋊C4×D11C23136yes—
121C22⋊C4×D11C23172yescomplemented
122#66930C23136yescomplemented
123C4×D44C23118yescomplemented
124C4×D44C23136yescomplemented
125C4×D44C23118yescomplemented
126#66925C23136yescomplemented
127C42×D11C2316yes—
128C42×D11C23118yes—
129C42×D11C23118yescomplemented
130C42×D11C23118yescomplemented
131C4×Dic22C2316yescomplemented
132C4×Dic22C23118yescomplemented
133C2×C4×H(5,𝔽2)—111nomaximal, Sylow
134C24×C11C2416yes—
135C23×D11—412no—
136C23×D11—412no—
137C23×D11C22×C4148yescomplemented
138C23×D11C2419yes—
139C23×D11C24118yes—
140C11×#41C22×C4148yescomplemented
141C2×Q8×C11C2412yes—
142C2×D4×C11C22×C4172yescomplemented
143C2×D4×C11C24118yes—
144C22×C4×C11—412no—
145C22×C4×C11C2419yes—
146C22×C4×C11C2419yes—
147C22×C4×C11C24118yes—
148C22×C4×C11C2419yes—
149C2×C22⋊D11C22×C41144yescomplemented
150C2×C22⋊D11C24136yes—
151C22×Dic11—412no—
152C22×Dic11C2419yes—
153C22×Dic11C2419yes—
154C22×Dic11C24118yes—
155C22×Dic11C2419yes—
156#4343C22×C4148yescomplemented
157Q8×D11C22×C4116yescomplemented
158#4341C22×C41144yescomplemented
159D4×D11C22×C41144yescomplemented
160D4×D11C22×C41288yescomplemented
161#4339C22×C41144yescomplemented
162C2×D44C22×C4172yescomplemented
163C2×D44C24118yes—
164C2×C4×D11—236no—
165C2×C4×D11—436no—
166C2×C4×D11—436no—
167C2×C4×D11—418no—
168C2×C4×D11—436no—
169C2×C4×D11C22×C4172yescomplemented
170C2×C4×D11C2416yes—
171C2×C4×D11C2419yes—
172C2×C4×D11C2419yes—
173C2×C4×D11C2419yes—
174C2×C4×D11C24118yes—
175C2×C4×D11C24136yes—
176C2×C4×D11C2416yes—
177C2×C4×D11C24118yes—
178C2×C4×D11C2411yescharacteristic
179C2×Dic22C2416yes—
180C11×C4⋊C4C24118yes—
181C11×C4⋊C4C2416yes—
182C11×C22⋊C4C24136yes—
183C42×C11C2416yes—
184C42×C11C24118yes—
185C22⋊Dic11C24136yes—
186(C2×D11)⋊C4C24136yes—
187(C2×D11)⋊C4C24136yes—
188C4⋊Dic11C24118yes—
189C4⋊Dic11C2416yes—
190Dic11⋊C4C24112yes—
191Dic11⋊C4C24136yes—
192C4×Dic11C2416yes—
193C4×Dic11C24118yes—
194C4×Dic11C2416yes—
195C4×Dic11C2416yes—
196C4×Dic11C24118yes—
197C4×Dic11C24118yes—
198C22×H(5,𝔽2)—111no—
199C4×H(5,𝔽2)—111no—
200C4×H(5,𝔽2)—116no—
201C4×H(5,𝔽2)—119no—
202C4×H(5,𝔽2)—116no—
203C4×H(5,𝔽2)—119no—
204C4×H(5,𝔽2)D1111yescharacteristic, direct product factor
205C2×#520—116no—
206C2×#518—119no—
207C2×C4×#41—116no—
208C22×C4×D4—119no—
209C23×C11—46no—
210C23×C11—46no—
211C23×C11C23×C4124yescomplemented
212C23×C11C2519yes—
213C22×D11—218no—
214C22×D11—218no—
215C22×D11—496no—
216C22×D11—418no—
217C22×D11—418no—
218C22×D11C23×C4136yes—
219C22×D11C23×C4172yescomplemented
220C22×D11C2519yes—
221C22×D11C2511yescharacteristic
222Q8×C11C23×C418yescomplemented
223D4×C11C23×C4172yescomplemented
224C2×C4×C11—218no—
225C2×C4×C11—418no—
226C2×C4×C11—49no—
227C2×C4×C11C23×C4136yescomplemented
228C2×C4×C11C2516yes—
229C2×C4×C11C2519yes—
230C2×C4×C11C2516yes—
231C2×C4×C11C2511yescharacteristic
232C22⋊D11C23×C41144yescomplemented
233C2×Dic11—218no—
234C2×Dic11—418no—
235C2×Dic11—49no—
236C2×Dic11C23×C4136yescomplemented
237C2×Dic11C2516yes—
238C2×Dic11C2519yes—
239C2×Dic11C2516yes—
240C2×Dic11C2511yescharacteristic
241D44C23×C4172yescomplemented
242C4×D11—218no—
243C4×D11—212no—
244C4×D11—218no—
245C4×D11—218no—
246C4×D11—436no—
247C4×D11—418no—
248C4×D11C23×C4124yes—
249C4×D11C23×C4172yescomplemented
250C4×D11H(5,𝔽2)14yesdirect product factor
251Dic22C23×C4124yescomplemented
252C2×H(5,𝔽2)—1132no—
253C2×H(5,𝔽2)—116no—
254C2×H(5,𝔽2)—119no—
255C2×H(5,𝔽2)C2×D1111yescharacteristic
256C22×#41—116no—
257C23×D4—119no—
258C24×C4—116no—
259#520—116no—
260#520—1112no—
261#520—1136no—
262#520—1118no—
263#520—1118no—
264#520C2×D1116yescomplemented
265#518—119no—
266#518—1136no—
267#518—1136no—
268#518—1118no—
269#518—1136no—
270#518C2×D1119yescomplemented
271C4×#41—116no—
272C4×#41—116no—
273C4×#41—116no—
274C4×#41—1118no—
275C4×#41—1118no—
276C4×#41—1118no—
277C4×#41—1118no—
278C4×#41C2×D1116yescomplemented
279C2×C4×Q8—112no—
280C2×C4×Q8—116no—
281C2×C4×D4—119no—
282C2×C4×D4—1118no—
283C2×C4×D4—1118no—
284C2×C4×D4—1136no—
285C2×C4×D4—1136no—
286C2×C4×D4—1136no—
287C2×C4×D4—1118no—
288C2×C4×D4—119no—
289C2×C4×D4—1118no—
290C2×C4×D4—119no—
291C2×C4×D4C2×D1119yescomplemented
292C2×#117—1118no—
293C22×C4⋊C4—119no—
294C22×C22⋊C4—1118no—
295C22×C42—119no—
296C22×C11—29no—
297C22×C11—29no—
298C22×C11—424no—
299C22×C11C24×C4118yes—
300C22×C11C2611yescharacteristic
301C2×D11—29no—
302C2×D11—29no—
303C2×D11—272no—
304C2×D11—472no—
305C2×D11C24×C4118yes—
306C2×D11C24×C412yes—
307C2×D11C2×H(5,𝔽2)12yes—
308C2×D11#58512yes—
309C4×C11—29no—
310C4×C11—26no—
311C4×C11C24×C4112yes—
312C4×C11C2×H(5,𝔽2)12yescomplemented
313Dic11—29no—
314Dic11—26no—
315Dic11C24×C4112yes—
316Dic11C2×H(5,𝔽2)12yescomplemented
317C25—116no—
318H(5,𝔽2)—1196no—
319H(5,𝔽2)—11144no—
320H(5,𝔽2)C4×D11116yesdirect product factor
321C2×#41—1196no—
322C2×#41—116no—
323C2×#41—1118no—
324C2×#41—1118no—
325C2×#41C22×D1116yes—
326C22×Q8—112no—
327C22×D4—1118no—
328C22×D4—11144no—
329C22×D4—1118no—
330C22×D4—1136no—
331C22×D4—119no—
332C22×D4C22×D1119yes—
333C23×C4—119no—
334C23×C4—116no—
335C23×C4—119no—
336C23×C4—119no—
337C23×C4—1118no—
338C23×C4—1118no—
339C23×C4—1118no—
340C23×C4—4424no—
341C23×C4C22×D1116yescomplemented
342C4×Q8—112no—
343C4×Q8—116no—
344C4×Q8—116no—
345C4×Q8—1118no—
346C4×Q8—116no—
347C4×Q8—1118no—
348C4×Q8C22×D1112yescomplemented
349C4×Q8C22×D1116yescomplemented
350C4×D4—1118no—
351C4×D4—1136no—
352C4×D4—1118no—
353C4×D4—1136no—
354C4×D4—1172no—
355C4×D4—1136no—
356C4×D4—1118no—
357C4×D4—1136no—
358C4×D4—1118no—
359C4×D4—1136no—
360C4×D4—1172no—
361C4×D4—1136no—
362C4×D4—1118no—
363C4×D4—1136no—
364C4×D4—1118no—
365C4×D4C22×D11118yescomplemented
366C4×D4C22×D11136yescomplemented
367C4×D4C22×D11118yescomplemented
368#117—1118no—
369#117—1118no—
370#117—1118no—
371#117—1136no—
372#117—1136no—
373#117C22×D11118yescomplemented
374C2×C4⋊C4—1118no—
375C2×C4⋊C4—119no—
376C2×C4⋊C4—1118no—
377C2×C4⋊C4—1136no—
378C2×C4⋊C4—116no—
379C2×C4⋊C4C22×D1119yescomplemented
380C2×C22⋊C4—1118no—
381C2×C22⋊C4—1118no—
382C2×C22⋊C4—1118no—
383C2×C22⋊C4—1136no—
384C2×C22⋊C4—1172no—
385C2×C22⋊C4C22×D11118yescomplemented
386C2×C42—119no—
387C2×C42—119no—
388C2×C42—119no—
389C2×C42—1118no—
390C2×C42—116no—
391C2×C42—1118no—
392C2×C42—1118no—
393C2×C42C22×D1119yescomplemented
394C2×C11—218no—
395C2×C11C25×C411yescharacteristic
396C2×C11C22×H(5,𝔽2)11yescharacteristic
397C2×C11C2×#58511yescharacteristic
398D11—218no—
399D11C4×H(5,𝔽2)14yesdirect product factor
400C24—119no—
401C24—1148no—
402C24—1118no—
403C24—4412no—
404C24—4412no—
405C24C23×D1116yes—
406#41—1148no—
407#41—11144no—
408#41—11144no—
409#41C2×C4×D11148yescomplemented
410C2×Q8—1116no—
411C2×Q8—116no—
412C2×Q8C23×D1112yes—
413C2×D4—11144no—
414C2×D4—1136no—
415C2×D4—11144no—
416C2×D4—11288no—
417C2×D4—1172no—
418C2×D4—1118no—
419C2×D4C2×C4×D11172yescomplemented
420C2×D4C23×D11118yes—
421C22×C4—412no—
422C22×C4—119no—
423C22×C4—1172no—
424C22×C4—116no—
425C22×C4—1118no—
426C22×C4—111no—
427C22×C4—119no—
428C22×C4—119no—
429C22×C4—1118no—
430C22×C4—116no—
431C22×C4—119no—
432C22×C4—119no—
433C22×C4—119no—
434C22×C4—1118no—
435C22×C4—1136no—
436C22×C4—2236no—
437C22×C4—4436no—
438C22×C4—4436no—
439C22×C4—4436no—
440C22×C4—4418no—
441C22×C4—4412no—
442C22×C4C23×D1119yes—
443C22×C4C23×D1119yes—
444C22×C4C23×D11118yes—
445C22×C4C23×D1119yes—
446C4⋊C4—1136no—
447C4⋊C4—1118no—
448C4⋊C4—1112no—
449C4⋊C4—116no—
450C4⋊C4C23×D11118yes—
451C4⋊C4C23×D1116yes—
452C22⋊C4—1136no—
453C22⋊C4—1136no—
454C22⋊C4—1136no—
455C22⋊C4C23×D11136yes—
456C42—116no—
457C42—116no—
458C42—1118no—
459C42—1118no—
460C42—1118no—
461C42—116no—
462C42C23×D11118yes—
463C42C23×D1116yes—
464C11C2×C4×H(5,𝔽2)11yescharacteristic, complemented, Sylow
465C23—46no—
466C23—46no—
467C23—111no—
468C23—1136no—
469C23—119no—
470C23—1172no—
471C23—2218no—
472C23—2218no—
473C23—4418no—
474C23—4418no—
475C23—4496no—
476C23C22×C4×D11124yescomplemented
477C23C24×D1119yes—
478Q8—1124no—
479Q8C22×C4×D1118yescomplemented
480D4—11144no—
481D4—1172no—
482D4C22×C4×D11172yescomplemented
483C2×C4—218no—
484C2×C4—418no—
485C2×C4—49no—
486C2×C4—1136no—
487C2×C4—111no—
488C2×C4—116no—
489C2×C4—1124no—
490C2×C4—1172no—
491C2×C4—114no—
492C2×C4—116no—
493C2×C4—119no—
494C2×C4—2218no—
495C2×C4—2218no—
496C2×C4—2212no—
497C2×C4—2218no—
498C2×C4—2218no—
499C2×C4—4436no—
500C2×C4—4418no—
501C2×C4—4418no—
502C2×C4—449no—
503C2×C4C22×C4×D11136yescomplemented
504C2×C4C24×D1116yes—
505C2×C4C24×D1119yes—
506C2×C4C24×D1116yes—
507C2×C4C24×D1111yescharacteristic
508C22—29no—
509C22—29no—
510C22—424no—
511C22—112no—
512C22—112no—
513C22—112no—
514C22—1118no—
515C22—2272no—
516C22—229no—
517C22—229no—
518C22—4472no—
519C22C23×C4×D11118yes—
520C22C25×D1111yescharacteristic
521C4—29no—
522C4—26no—
523C4—1112no—
524C4—112no—
525C4—229no—
526C4—226no—
527C4C23×C4×D11112yes—
528C4D11×H(5,𝔽2)12yesdirect product factor
529C2—218no—
530C2—114no—
531C2—2218no—
532C2C24×C4×D1111yescharacteristic
533C2C2×D11×H(5,𝔽2)11yescharacteristic
534C2D11×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D11
commutatorC2×C11C25×C4
FrattiniC22C25×D11
FittingC4×C11×H(5,𝔽2)C2
socle, cosocleC22×C11C26
prime radicalC2×D11×H(5,𝔽2)C2
hypercenterC4×H(5,𝔽2)D11
hypocenterC11C2×C4×H(5,𝔽2)
LCSG ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. H(5,𝔽2)×Dic11C2semidirect
3. C4×#67042C2semidirect
4. #13081822C2semidirect
5. C4×#67037C2semidirect
6. #13081820C2semidirect
7. D11×#520C2semidirect
8. D11×#518C2semidirect
9. C4×#41×D11C2semidirect
10. C2×C4×D4×D11C2semidirect
11. C4×C11×H(5,𝔽2)C2semidirect
13. D11×H(5,𝔽2)C4direct (N × H)
18. C23×C4×D11C22semidirect
19. C11×#520C22semidirect
20. C11×#518C22semidirect
21. C4×C11×#41C22semidirect
22. C2×C4×D4×C11C22semidirect
23. #10623358C22semidirect
24. #41×Dic11C22semidirect
25. #10623329C22semidirect
26. C2×D4×Dic11C22semidirect
27. C2×C4×C22⋊D11C22semidirect
28. #10623105C22semidirect
29. C4×#4343C22semidirect
30. C4×#4343C22semidirect
31. C4×Q8×D11C22semidirect
32. C4×Q8×D11C22semidirect
33. #10623077C22semidirect
34. #10623076C22semidirect
35. #10623076C22semidirect
36. C4×D4×D11C22semidirect
37. C4×D4×D11C22semidirect
38. C4×D4×D11C22semidirect
39. C4×D4×D11C22semidirect
40. C4×D4×D11C22semidirect
41. C4×#4341C22semidirect
42. C4×#4341C22semidirect
43. #10623054C22semidirect
44. #10623053C22semidirect
45. #10623052C22semidirect
46. D11×#117C22semidirect
47. #10623035C22semidirect
48. C2×#66946C22semidirect
49. C2×C4⋊C4×D11C22semidirect
50. #10623017C22semidirect
51. C2×(C22⋊D11)⋊C4C22semidirect
52. C2×C22⋊C4×D11C22semidirect
53. C4×#4339C22semidirect
54. C2×C4×D44C22semidirect
55. C2×C42×D11C22semidirect
57. C11×H(5,𝔽2)C2×C4semidirect
60. C23×C4×C11C23semidirect
62. C23×Dic11C23semidirect
63. #67042C2×C4semidirect
64. #41×D11C2×C4semidirect
67. #67037C2×C4semidirect
69. C2×D4×D11C2×C4semidirect
79. C22×C4×D11C23semidirect
80. C22×C4×D11C23semidirect
81. C4×Q8×C11C23semidirect
82. C4×Q8×C11C23semidirect
83. C4×D4×C11C23semidirect
84. C4×D4×C11C23semidirect
85. C4×D4×C11C23semidirect
86. C11×#117C23semidirect
87. C2×C11×C4⋊C4C23semidirect
88. C2×C11×C22⋊C4C23semidirect
89. C2×C42×C11C23semidirect
90. C2×C22⋊Dic11C23semidirect
91. Q8×Dic11C23semidirect
92. Q8×Dic11C23semidirect
93. D4×Dic11C23semidirect
94. D4×Dic11C23semidirect
95. D4×Dic11C23semidirect
96. C4×C22⋊D11C23semidirect
97. C4×C22⋊D11C23semidirect
98. C4×C22⋊D11C23semidirect
99. C2×(C2×D11)⋊C4C23semidirect
100. C2×(C2×D11)⋊C4C23semidirect
101. #66979C23semidirect
102. C2×C4⋊Dic11C23semidirect
103. C2×Dic11⋊C4C23semidirect
104. C2×C4×Dic11C23semidirect
105. C2×C4×Dic11C23semidirect
106. C2×C4×Dic11C23semidirect
107. #66946C23semidirect
108. #66946C23semidirect
109. #66946C23semidirect
110. #66945C23semidirect
111. #66945C23semidirect
114. C4⋊C4×D11C23semidirect
115. #66940C23semidirect
116. #66940C23semidirect
117. (C22⋊D11)⋊C4C23semidirect
118. (C22⋊D11)⋊C4C23semidirect
119. (C22⋊D11)⋊C4C23semidirect
121. C22⋊C4×D11C23semidirect
122. #66930C23semidirect
123. C4×D44C23semidirect
124. C4×D44C23semidirect
125. C4×D44C23semidirect
126. #66925C23semidirect
129. C42×D11C23semidirect
130. C42×D11C23semidirect
131. C4×Dic22C23semidirect
132. C4×Dic22C23semidirect
137. C23×D11C22×C4semidirect
140. C11×#41C22×C4semidirect
142. C2×D4×C11C22×C4semidirect
149. C2×C22⋊D11C22×C4semidirect
156. #4343C22×C4semidirect
157. Q8×D11C22×C4semidirect
158. #4341C22×C4semidirect
159. D4×D11C22×C4semidirect
160. D4×D11C22×C4semidirect
161. #4339C22×C4semidirect
162. C2×D44C22×C4semidirect
169. C2×C4×D11C22×C4semidirect
204. C4×H(5,𝔽2)D11direct (N × H)
211. C23×C11C23×C4semidirect
219. C22×D11C23×C4semidirect
222. Q8×C11C23×C4semidirect
223. D4×C11C23×C4semidirect
227. C2×C4×C11C23×C4semidirect
232. C22⋊D11C23×C4semidirect
236. C2×Dic11C23×C4semidirect
241. D44C23×C4semidirect
249. C4×D11C23×C4semidirect
250. C4×D11H(5,𝔽2)direct (N × H)
251. Dic22C23×C4semidirect
264. #520C2×D11semidirect
270. #518C2×D11semidirect
278. C4×#41C2×D11semidirect
291. C2×C4×D4C2×D11semidirect
312. C4×C11C2×H(5,𝔽2)semidirect
316. Dic11C2×H(5,𝔽2)semidirect
320. H(5,𝔽2)C4×D11direct (N × H)
341. C23×C4C22×D11semidirect
348. C4×Q8C22×D11semidirect
349. C4×Q8C22×D11semidirect
365. C4×D4C22×D11semidirect
366. C4×D4C22×D11semidirect
367. C4×D4C22×D11semidirect
373. #117C22×D11semidirect
379. C2×C4⋊C4C22×D11semidirect
385. C2×C22⋊C4C22×D11semidirect
393. C2×C42C22×D11semidirect
399. D11C4×H(5,𝔽2)direct (N × H)
409. #41C2×C4×D11semidirect
419. C2×D4C2×C4×D11semidirect
464. C11C2×C4×H(5,𝔽2)semidirect
476. C23C22×C4×D11semidirect
479. Q8C22×C4×D11semidirect
482. D4C22×C4×D11semidirect
503. C2×C4C22×C4×D11semidirect
528. C4D11×H(5,𝔽2)direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D11×H(5,𝔽2)2
H(5,𝔽2)×Dic112
C4×#670422
#130818222
C4×#670372
#130818202
D11×#5202
D11×#5182
C4×#41×D112
C2×C4×D4×D112
C4×C11×H(5,𝔽2)2
C2×C4×H(5,𝔽2)11