Finite Group Databasebeta

← C5×#60335 #11983055

Subgroups — C5×#60335 #11983055

Order 1280.

1746 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
1C5×#3482C211yesmaximal, characteristic
2C5×#2994C213yesmaximal, complemented
3C5×#2993C213yesmaximal, complemented
4C5×#2990C213yesmaximal, complemented
5C5×#2988C211yesmaximal, characteristic, complemented
6C5×#2985C213yesmaximal, complemented
7C5×#2984C211yesmaximal, characteristic, complemented
8C5×#2982C211yesmaximal, characteristic, complemented
9C5×#2971C211yesmaximal, characteristic, complemented
10C5×#2969C213yesmaximal, complemented
11C5×#2966C213yesmaximal, complemented
12C5×#2965C213yesmaximal, complemented
13C5×Q8×M16C211yesmaximal, characteristic, complemented
14C5×#2962C213yesmaximal, complemented
15C2×C5×C8×Q8C211yesmaximal, characteristic, complemented
16C5×#557C411yescharacteristic
17C5×#556C413yes—
18C5×#552C413yes—
19C5×#552C413yes—
20C5×D4×Q8C411yescharacteristic
21C5×#548C411yescharacteristic
22C5×#548C411yescharacteristic
23C5×#547C413yes—
24C5×#533C2213yes—
25C5×#529C2213yes—
26C5×#529C2213yes—
27C4×C5×#41C2211yescharacteristic
28C4×C5×#41C2213yes—
29C2×C4×C5×Q8C2211yescharacteristic
30C2×C4×C5×Q8C2211yescharacteristic
31C5×#446C2213yes—
32C5×#446C2213yes—
33C5×#446C2213yes—
34C5×#446C2216yes—
35C5×#446C2213yes—
36C5×#446C2213yes—
37C5×#446C2213yes—
38C5×C8×Q8C2211yescharacteristic
39C5×C8×Q8C2213yes—
40C5×C8×Q8C2211yescharacteristic
41C5×C8×Q8C2213yes—
42C5×C8×Q8C2211yescharacteristic
43C5×C8×Q8C2213yes—
44C5×C8×Q8C2213yes—
45C5×C8×Q8C2211yescharacteristic
46C5×#436C2213yes—
47C5×#436C2213yes—
48C5×#436C2213yes—
49C5×#436C2213yes—
50C5×#435C2213yes—
51C5×#435C2216yes—
52C5×#435C2213yes—
53C5×#435C2211yescharacteristic
54C5×#435C2213yes—
55C5×C8×D4C2213yes—
56C5×C8×D4C2213yes—
57C5×C8×D4C2216yes—
58C5×#433C2216yes—
59C5×#433C2216yes—
60C5×#432C2213yes—
61C5×#432C2213yes—
62C5×#431C2213yes—
63C5×#431C2213yes—
64C5×#431C2213yes—
65C5×#431C2213yes—
66C5×#424C2216yes—
67C5×#423C2213yes—
68C2×C5×C4⋊C8C2213yes—
69C2×C5×C4⋊C8C2213yes—
70C5×#405C2216yes—
71C4×C5×M16C2213yes—
72C4×C5×M16C2213yes—
73C2×C4×C5×C8C2213yes—
74#60335C511yesmaximal, characteristic, direct product factor, Sylow
75C2×C5×#41C2×C411yescharacteristic
76C2×C5×#41C2×C413yes—
77C22×C5×Q8C2×C411yescharacteristic
78C22×C5×Q8C2×C411yescharacteristic
79C2×C5×M16C2311yescharacteristic
80C2×C5×M16C2313yes—
81C2×C5×M16C2313yes—
82C2×C5×M16C2313yes—
83C22×C5×C8C2311yescharacteristic
84C22×C5×C8C2313yes—
85C22×C5×C8C2316yes—
86C5×C4⋊Q8C2×C413yes—
87C5×C4⋊Q8C2×C413yes—
88C5×#126C2×C416yes—
89C5×#126C2×C416yes—
90C5×#125C2×C413yes—
91C5×#125C2×C413yes—
92C5×#125C2×C416yes—
93C5×#124C2×C413yes—
94C5×#124C2×C413yes—
95C5×#123C2×C416yes—
96C5×#123C2×C416yes—
97C5×C22⋊Q8C2×C413yes—
98C5×C22⋊Q8C2×C413yes—
99C5×C22⋊Q8C2×C416yes—
100C5×C22⋊Q8C2×C413yes—
101C5×C22⋊Q8C2×C413yes—
102C5×#121C2×C413yes—
103C5×#121C2×C413yes—
104C4×C5×Q8C2×C411yescharacteristic
105C4×C5×Q8C2×C411yescharacteristic
106C4×C5×Q8C2×C413yes—
107C4×C5×Q8C2×C413yes—
108C4×C5×Q8C2×C411yescharacteristic
109C4×C5×Q8C2×C413yes—
110C4×C5×Q8C2311yescharacteristic
111C4×C5×Q8C2313yes—
112C4×C5×Q8C2313yes—
113C4×C5×Q8C2313yes—
114C4×C5×D4C2×C413yes—
115C4×C5×D4C2×C413yes—
116C4×C5×D4C2×C413yes—
117C4×C5×D4C2×C413yes—
118C4×C5×D4C2313yes—
119C4×C5×D4C2313yes—
120C4×C5×D4C2311yescharacteristic
121C4×C5×D4C2313yes—
122C5×#117C2×C413yes—
123C5×#117C2×C413yes—
124C5×#117C2×C413yes—
125C5×#117C2×C413yes—
126C5×#117C2316yes—
127C2×C5×C4⋊C4C2×C413yes—
128C2×C5×C4⋊C4C2×C413yes—
129C2×C42×C5C2313yes—
130C2×C42×C5C2313yes—
131C2×C42×C5C2313yes—
132C5×C4⋊C8C2313yes—
133C5×C4⋊C8C2313yes—
134C5×C4⋊C8C2313yes—
135C5×C4⋊C8C2313yes—
136C5×C4⋊C8C2316yes—
137C5×C4⋊C8C2316yes—
138C5×C4⋊C8C2313yes—
139C5×C4⋊C8C2313yes—
140C5×C4⋊C8C2311yescharacteristic
141C5×C4⋊C8C2313yes—
142C5×C4⋊C8C2313yes—
143C5×C4⋊C8C2313yes—
144C5×C22⋊C8C2311yescharacteristic
145C5×C22⋊C8C2313yes—
146C5×C22⋊C8C2311yescharacteristic
147C5×C22⋊C8C2313yes—
148C5×C22⋊C8C2313yes—
149C5×C22⋊C8C2313yes—
150C5×C22⋊C8C2316yes—
151C5×#97C2311yescharacteristic
152C5×#97C2313yes—
153C5×#97C2313yes—
154C5×#97C2313yes—
155C5×#97C2316yes—
156C4×C5×C8C2313yes—
157C4×C5×C8C2313yes—
158C4×C5×C8C2313yes—
159C4×C5×C8C2313yes—
160C4×C5×C8C2313yes—
161C4×C5×C8C2313yes—
162C4×C5×C8C2316yes—
163#3482C2×C511yescharacteristic
164#2994C2×C513yescomplemented
165#2993C2×C513yescomplemented
166#2990C2×C513yescomplemented
167#2988C2×C511yescharacteristic, complemented
168#2985C2×C513yescomplemented
169#2984C2×C511yescharacteristic, complemented
170#2982C2×C511yescharacteristic, complemented
171#2971C2×C511yescharacteristic, complemented
172#2969C2×C513yescomplemented
173#2966C2×C513yescomplemented
174#2965C2×C513yescomplemented
175Q8×M16C2×C511yescharacteristic, complemented
176#2962C2×C513yescomplemented
177C2×C8×Q8C2×C511yescharacteristic, complemented
178C5×#41—24no—
179C5×#41—46no—
180C2×C5×Q8—24no—
181C2×C5×Q8—24no—
182C2×C5×Q8C22×C413yes—
183C2×C5×Q8C22×C413yes—
184C2×C5×Q8C22×C413yes—
185C2×C5×Q8C22×C411yescharacteristic
186C2×C5×D4C22×C411yescharacteristic
187C2×C5×D4C22×C413yes—
188C2×C5×D4C22×C413yes—
189C2×C5×D4C22×C413yes—
190C22×C4×C5C22×C413yes—
191C22×C4×C5C22×C413yes—
192C22×C4×C5C22×C413yes—
193C22×C4×C5C22×C413yes—
194C22×C4×C5C22×C413yes—
195C22×C4×C5C22×C413yes—
196C22×C4×C5C2411yescharacteristic
197C22×C4×C5C2411yescharacteristic
198C22×C4×C5C2413yes—
199C5×M16—22no—
200C5×M16—26no—
201C5×M16—43no—
202C5×M16—43no—
203C2×C5×C8—22no—
204C2×C5×C8—46no—
205C2×C5×C8—43no—
206C2×C5×C8C2413yes—
207C2×C5×C8C2413yes—
208C2×C5×C8C2413yes—
209C2×C5×C8C2411yescharacteristic
210C2×C5×C8C2411yescharacteristic
211C2×C5×C8C2411yescharacteristic
212C2×C5×C8C2413yes—
213C2×C5×C8C2411yescharacteristic
214C5×C4⋊C4C22×C413yes—
215C5×C4⋊C4C22×C413yes—
216C5×C4⋊C4C22×C413yes—
217C5×C4⋊C4C22×C416yes—
218C5×C4⋊C4C22×C416yes—
219C5×C4⋊C4C22×C411yescharacteristic
220C5×C4⋊C4C22×C413yes—
221C5×C4⋊C4C22×C413yes—
222C5×C4⋊C4C22×C413yes—
223C5×C4⋊C4C22×C413yes—
224C5×C4⋊C4C22×C413yes—
225C5×C4⋊C4C22×C413yes—
226C5×C4⋊C4C22×C416yes—
227C5×C4⋊C4C22×C416yes—
228C5×C22⋊C4C22×C411yescharacteristic
229C5×C22⋊C4C22×C411yescharacteristic
230C5×C22⋊C4C22×C413yes—
231C5×C22⋊C4C22×C413yes—
232C5×C22⋊C4C22×C416yes—
233C5×C22⋊C4C22×C413yes—
234C5×C22⋊C4C22×C413yes—
235C5×C22⋊C4C22×C416yes—
236C5×C22⋊C4C22×C416yes—
237C42×C5C22×C413yes—
238C42×C5C22×C413yes—
239C42×C5C22×C413yes—
240C42×C5C22×C413yes—
241C42×C5C22×C413yes—
242C42×C5C22×C413yes—
243C42×C5C2413yes—
244C42×C5C2411yescharacteristic
245C42×C5C2413yes—
246C42×C5C2413yes—
247#557C4×C511yescharacteristic
248#556C4×C513yes—
249#552C4×C513yes—
250#552C4×C513yes—
251D4×Q8C4×C511yescharacteristic
252#548C4×C511yescharacteristic
253#548C4×C511yescharacteristic
254#547C4×C513yes—
255#533C22×C513yes—
256#529C22×C513yes—
257#529C22×C513yes—
258C4×#41C22×C513yes—
259C4×#41C22×C511yescharacteristic
260C2×C4×Q8C22×C511yescharacteristic
261C2×C4×Q8C22×C511yescharacteristic
262#446C22×C513yes—
263#446C22×C513yes—
264#446C22×C513yes—
265#446C22×C516yes—
266#446C22×C513yes—
267#446C22×C513yes—
268#446C22×C513yes—
269C8×Q8C22×C513yes—
270C8×Q8C22×C511yescharacteristic
271C8×Q8C22×C511yescharacteristic
272C8×Q8C22×C513yes—
273C8×Q8C22×C513yes—
274C8×Q8C22×C511yescharacteristic
275C8×Q8C22×C513yes—
276C8×Q8C22×C511yescharacteristic
277#436C22×C513yes—
278#436C22×C513yes—
279#436C22×C513yes—
280#436C22×C513yes—
281#435C22×C511yescharacteristic
282#435C22×C513yes—
283#435C22×C513yes—
284#435C22×C513yes—
285#435C22×C516yes—
286C8×D4C22×C513yes—
287C8×D4C22×C516yes—
288C8×D4C22×C513yes—
289#433C22×C516yes—
290#433C22×C516yes—
291#432C22×C513yes—
292#432C22×C513yes—
293#431C22×C513yes—
294#431C22×C513yes—
295#431C22×C513yes—
296#431C22×C513yes—
297#424C22×C516yes—
298#423C22×C513yes—
299C2×C4⋊C8C22×C513yes—
300C2×C4⋊C8C22×C513yes—
301#405C22×C516yes—
302C4×M16C22×C513yes—
303C4×M16C22×C513yes—
304C2×C4×C8C22×C513yes—
305C23×C5C23×C413yes—
306C23×C5C23×C411yescharacteristic
307C23×C5C23×C411yescharacteristic
308C5×Q8—26no—
309C5×Q8—26no—
310C5×Q8—43no—
311C5×Q8#13114yes—
312C5×D4—26no—
313C5×D4—22no—
314C5×D4—26no—
315C5×D4—43no—
316C2×C4×C5—26no—
317C2×C4×C5—26no—
318C2×C4×C5—26no—
319C2×C4×C5—26no—
320C2×C4×C5—21no—
321C2×C4×C5—21no—
322C2×C4×C5—23no—
323C2×C4×C5—21no—
324C2×C4×C5—23no—
325C2×C4×C5—21no—
326C2×C4×C5—43no—
327C2×C4×C5—43no—
328C2×C4×C5C23×C411yescharacteristic
329C2×C4×C5C23×C411yescharacteristic
330C2×C4×C5C23×C411yescharacteristic
331C2×C4×C5C23×C413yes—
332C2×C4×C5C23×C411yescharacteristic
333C2×C4×C5C23×C413yes—
334C2×C4×C5C23×C413yes—
335C2×C4×C5C23×C413yes—
336C2×C4×C5C23×C413yes—
337C2×C4×C5C23×C413yes—
338C2×C4×C5C23×C413yes—
339C2×C4×C5C2511yescharacteristic
340C5×C8—21no—
341C5×C8—21no—
342C5×C8—23no—
343C5×C8—23no—
344C5×C8—23no—
345C5×C8—23no—
346C5×C8—21no—
347C5×C82−1+412yes—
348C2×#41C2×C4×C511yescharacteristic
349C2×#41C2×C4×C513yes—
350C22×Q8C2×C4×C511yescharacteristic
351C22×Q8C2×C4×C511yescharacteristic
352C2×M16C23×C511yescharacteristic
353C2×M16C23×C513yes—
354C2×M16C23×C513yes—
355C2×M16C23×C513yes—
356C22×C8C23×C511yescharacteristic
357C22×C8C23×C513yes—
358C22×C8C23×C516yes—
359C4⋊Q8C2×C4×C513yes—
360C4⋊Q8C2×C4×C513yes—
361#126C2×C4×C516yes—
362#126C2×C4×C516yes—
363#125C2×C4×C513yes—
364#125C2×C4×C513yes—
365#125C2×C4×C516yes—
366#124C2×C4×C513yes—
367#124C2×C4×C513yes—
368#123C2×C4×C516yes—
369#123C2×C4×C516yes—
370C22⋊Q8C2×C4×C513yes—
371C22⋊Q8C2×C4×C513yes—
372C22⋊Q8C2×C4×C516yes—
373C22⋊Q8C2×C4×C513yes—
374C22⋊Q8C2×C4×C513yes—
375#121C2×C4×C513yes—
376#121C2×C4×C513yes—
377C4×Q8C2×C4×C511yescharacteristic
378C4×Q8C2×C4×C511yescharacteristic
379C4×Q8C2×C4×C513yes—
380C4×Q8C2×C4×C513yes—
381C4×Q8C2×C4×C511yescharacteristic
382C4×Q8C2×C4×C513yes—
383C4×Q8C23×C511yescharacteristic
384C4×Q8C23×C513yes—
385C4×Q8C23×C513yes—
386C4×Q8C23×C513yes—
387C4×D4C2×C4×C513yes—
388C4×D4C2×C4×C513yes—
389C4×D4C2×C4×C513yes—
390C4×D4C2×C4×C513yes—
391C4×D4C23×C511yescharacteristic
392C4×D4C23×C513yes—
393C4×D4C23×C513yes—
394C4×D4C23×C513yes—
395#117C2×C4×C513yes—
396#117C2×C4×C513yes—
397#117C2×C4×C513yes—
398#117C2×C4×C513yes—
399#117C23×C516yes—
400C2×C4⋊C4C2×C4×C513yes—
401C2×C4⋊C4C2×C4×C513yes—
402C2×C42C23×C513yes—
403C2×C42C23×C513yes—
404C2×C42C23×C513yes—
405C4⋊C8C23×C513yes—
406C4⋊C8C23×C513yes—
407C4⋊C8C23×C513yes—
408C4⋊C8C23×C513yes—
409C4⋊C8C23×C516yes—
410C4⋊C8C23×C516yes—
411C4⋊C8C23×C513yes—
412C4⋊C8C23×C513yes—
413C4⋊C8C23×C511yescharacteristic
414C4⋊C8C23×C513yes—
415C4⋊C8C23×C513yes—
416C4⋊C8C23×C513yes—
417C22⋊C8C23×C511yescharacteristic
418C22⋊C8C23×C513yes—
419C22⋊C8C23×C511yescharacteristic
420C22⋊C8C23×C513yes—
421C22⋊C8C23×C513yes—
422C22⋊C8C23×C513yes—
423C22⋊C8C23×C516yes—
424#97C23×C511yescharacteristic
425#97C23×C513yes—
426#97C23×C513yes—
427#97C23×C513yes—
428#97C23×C516yes—
429C4×C8C23×C513yes—
430C4×C8C23×C513yes—
431C4×C8C23×C513yes—
432C4×C8C23×C513yes—
433C4×C8C23×C513yes—
434C4×C8C23×C513yes—
435C4×C8C23×C516yes—
436C22×C5—21no—
437C22×C5—21no—
438C22×C5—23no—
439C22×C5—21no—
440C22×C5—21no—
441C22×C5—23no—
442C22×C5—21no—
443C22×C5—23no—
444C22×C5#56812yes—
445C22×C5C24×C411yescharacteristic
446C4×C5—21no—
447C4×C5—23no—
448C4×C5—21no—
449C4×C5—21no—
450C4×C5—23no—
451C4×C5—23no—
452C4×C5—23no—
453C4×C5—23no—
454C4×C5—21no—
455C4×C5—23no—
456C4×C5C2×#13116yes—
457C4×C5C2×2−1+411yescharacteristic
458C4×C5#58511yescharacteristic
459#41—24no—
460#41—46no—
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8C22×C4×C513yes—
464C2×Q8C22×C4×C513yes—
465C2×Q8C22×C4×C513yes—
466C2×Q8C22×C4×C511yescharacteristic
467C2×D4C22×C4×C511yescharacteristic
468C2×D4C22×C4×C513yes—
469C2×D4C22×C4×C513yes—
470C2×D4C22×C4×C513yes—
471C22×C4C22×C4×C513yes—
472C22×C4C22×C4×C513yes—
473C22×C4C22×C4×C513yes—
474C22×C4C22×C4×C513yes—
475C22×C4C22×C4×C513yes—
476C22×C4C22×C4×C513yes—
477C22×C4C24×C511yescharacteristic
478C22×C4C24×C511yescharacteristic
479C22×C4C24×C513yes—
480M16—22no—
481M16—26no—
482M16—43no—
483M16—43no—
484C2×C8—22no—
485C2×C8—46no—
486C2×C8—43no—
487C2×C8C24×C511yescharacteristic
488C2×C8C24×C513yes—
489C2×C8C24×C511yescharacteristic
490C2×C8C24×C513yes—
491C2×C8C24×C511yescharacteristic
492C2×C8C24×C513yes—
493C2×C8C24×C513yes—
494C2×C8C24×C511yescharacteristic
495C4⋊C4C22×C4×C513yes—
496C4⋊C4C22×C4×C513yes—
497C4⋊C4C22×C4×C513yes—
498C4⋊C4C22×C4×C516yes—
499C4⋊C4C22×C4×C516yes—
500C4⋊C4C22×C4×C511yescharacteristic
501C4⋊C4C22×C4×C513yes—
502C4⋊C4C22×C4×C513yes—
503C4⋊C4C22×C4×C513yes—
504C4⋊C4C22×C4×C513yes—
505C4⋊C4C22×C4×C513yes—
506C4⋊C4C22×C4×C513yes—
507C4⋊C4C22×C4×C516yes—
508C4⋊C4C22×C4×C516yes—
509C22⋊C4C22×C4×C511yescharacteristic
510C22⋊C4C22×C4×C511yescharacteristic
511C22⋊C4C22×C4×C513yes—
512C22⋊C4C22×C4×C513yes—
513C22⋊C4C22×C4×C516yes—
514C22⋊C4C22×C4×C513yes—
515C22⋊C4C22×C4×C513yes—
516C22⋊C4C22×C4×C516yes—
517C22⋊C4C22×C4×C516yes—
518C42C22×C4×C513yes—
519C42C22×C4×C513yes—
520C42C22×C4×C513yes—
521C42C22×C4×C513yes—
522C42C22×C4×C513yes—
523C42C22×C4×C513yes—
524C42C24×C513yes—
525C42C24×C513yes—
526C42C24×C513yes—
527C42C24×C511yescharacteristic
528C2×C5—22no—
529C2×C5—41no—
530C2×C5—43no—
531C2×C5C4×2−1+411yescharacteristic
532C2×C5C22×#13111yescharacteristic
533C2×C5C2×#56811yescharacteristic
534C23C23×C4×C513yes—
535C23C23×C4×C511yescharacteristic
536C23C23×C4×C511yescharacteristic
537Q8—26no—
538Q8—26no—
539Q8—43no—
540Q8C5×#13114yes—
541D4—22no—
542D4—26no—
543D4—26no—
544D4—43no—
545C2×C4—26no—
546C2×C4—26no—
547C2×C4—26no—
548C2×C4—26no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—23no—
552C2×C4—21no—
553C2×C4—23no—
554C2×C4—21no—
555C2×C4—43no—
556C2×C4—43no—
557C2×C4C23×C4×C511yescharacteristic
558C2×C4C23×C4×C511yescharacteristic
559C2×C4C23×C4×C511yescharacteristic
560C2×C4C23×C4×C513yes—
561C2×C4C23×C4×C511yescharacteristic
562C2×C4C23×C4×C513yes—
563C2×C4C23×C4×C513yes—
564C2×C4C23×C4×C513yes—
565C2×C4C23×C4×C513yes—
566C2×C4C23×C4×C513yes—
567C2×C4C23×C4×C513yes—
568C2×C4C25×C511yescharacteristic
569C8—21no—
570C8—21no—
571C8—23no—
572C8—23no—
573C8—23no—
574C8—23no—
575C8—21no—
576C8C5×2−1+412yes—
577C5#6033511yescharacteristic, direct product factor, Sylow
578C22—21no—
579C22—21no—
580C22—23no—
581C22—21no—
582C22—21no—
583C22—23no—
584C22—21no—
585C22—23no—
586C22C5×#56812yes—
587C22C24×C4×C511yescharacteristic
588C4—21no—
589C4—23no—
590C4—21no—
591C4—21no—
592C4—23no—
593C4—23no—
594C4—23no—
595C4—23no—
596C4—21no—
597C4—23no—
598C4C2×C5×#13116yes—
599C4C2×C5×2−1+411yescharacteristic
600C4C5×#58511yescharacteristic
601C2—22no—
602C2—41no—
603C2—43no—
604C2C4×C5×2−1+411yescharacteristic
605C2C22×C5×#13111yescharacteristic
606C2C2×C5×#56811yescharacteristic
subgroupG/H
centerC2×C4×C5C25
commutatorC22C24×C4×C5
Frattini, cosocleC2×C4C25×C5
socleC22×C5C24×C4
prime radicalC5×#3482C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C5×#2994C2semidirect
3. C5×#2993C2semidirect
4. C5×#2990C2semidirect
5. C5×#2988C2semidirect
6. C5×#2985C2semidirect
7. C5×#2984C2semidirect
8. C5×#2982C2semidirect
9. C5×#2971C2semidirect
10. C5×#2969C2semidirect
11. C5×#2966C2semidirect
12. C5×#2965C2semidirect
13. C5×Q8×M16C2semidirect
14. C5×#2962C2semidirect
15. C2×C5×C8×Q8C2semidirect
74. #60335C5direct (N × H)
164. #2994C2×C5semidirect
165. #2993C2×C5semidirect
166. #2990C2×C5semidirect
167. #2988C2×C5semidirect
168. #2985C2×C5semidirect
169. #2984C2×C5semidirect
170. #2982C2×C5semidirect
171. #2971C2×C5semidirect
172. #2969C2×C5semidirect
173. #2966C2×C5semidirect
174. #2965C2×C5semidirect
175. Q8×M16C2×C5semidirect
176. #2962C2×C5semidirect
177. C2×C8×Q8C2×C5semidirect
577. C5#60335direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#34822
C5×#29942
C5×#29932
C5×#29902
C5×#29882
C5×#29852
C5×#29842
C5×#29822
C5×#29712
C5×#29692
C5×#29662
C5×#29652
C5×Q8×M162
C5×#29622
C2×C5×C8×Q82
#603355