Finite Group Databasebeta

← C5×#60301 #11983021

Subgroups — C5×#60301 #11983021

Order 1280.

1760 conjugacy classes of subgroups.

The subgroup lattice has 610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3480C211yesmaximal, characteristic
2C5×#2994C213yesmaximal, complemented
3C5×#2993C213yesmaximal, complemented
4C5×#2991C211yesmaximal, characteristic, complemented
5C5×#2988C211yesmaximal, characteristic, complemented
6C5×#2984C211yesmaximal, characteristic, complemented
7C5×#2982C211yesmaximal, characteristic, complemented
8C5×#2981C213yesmaximal, complemented
9C5×#2979C213yesmaximal, complemented
10C5×#2971C211yesmaximal, characteristic, complemented
11C5×#2969C213yesmaximal, complemented
12C5×#2966C213yesmaximal, complemented
13C5×C8×#41C211yesmaximal, characteristic, complemented
14C5×#2925C213yesmaximal, complemented
15C5×#2922C213yesmaximal, complemented
16C5×#559C413yes—
17C5×#557C411yescharacteristic
18C5×#556C413yes—
19C5×#553C413yes—
20C5×#553C413yes—
21C5×#550C411yescharacteristic
22C5×#548C411yescharacteristic
23C5×#548C411yescharacteristic
24C5×#532C2213yes—
25C5×#529C2213yes—
26C5×#529C2213yes—
27C4×C5×#41C2211yescharacteristic
28C4×C5×#41C2211yescharacteristic
29C4×C5×#41C2213yes—
30C2×C4×C5×Q8C2211yescharacteristic
31C5×#446C2213yes—
32C5×#446C2213yes—
33C5×C8×Q8C2211yescharacteristic
34C5×C8×Q8C2211yescharacteristic
35C5×C8×Q8C2213yes—
36C5×C8×Q8C2213yes—
37C5×C8×Q8C2211yescharacteristic
38C5×C8×Q8C2211yescharacteristic
39C5×#436C2213yes—
40C5×#436C2213yes—
41C5×#436C2213yes—
42C5×#436C2216yes—
43C5×#436C2213yes—
44C5×#435C2216yes—
45C5×#435C2216yes—
46C5×C8×D4C2213yes—
47C5×C8×D4C2213yes—
48C5×C8×D4C2213yes—
49C5×C8×D4C2213yes—
50C5×C8×D4C2216yes—
51C5×#433C2216yes—
52C5×#433C2211yescharacteristic
53C5×#433C2213yes—
54C5×#433C2213yes—
55C5×#433C2213yes—
56C5×#432C2213yes—
57C5×#432C2213yes—
58C5×#431C2213yes—
59C5×#431C2213yes—
60C5×#431C2213yes—
61C5×#431C2213yes—
62C5×#431C2213yes—
63C5×#431C2213yes—
64C5×#424C2213yes—
65C5×#424C2213yes—
66C5×#423C2213yes—
67C2×C5×C4⋊C8C2213yes—
68C5×#408C2213yes—
69C5×#408C2216yes—
70C5×#408C2213yes—
71C5×#405C2216yes—
72C4×C5×M16C2213yes—
73C2×C4×C5×C8C2213yes—
74#60301C511yesmaximal, characteristic, direct product factor, Sylow
75C2×C5×#41C2×C411yescharacteristic
76C2×C5×#41C2×C411yescharacteristic
77C2×C5×#41C2313yes—
78C22×C5×Q8C2×C411yescharacteristic
79C2×C5×M16C2313yes—
80C2×C5×M16C2313yes—
81C2×C5×M16C2316yes—
82C22×C5×C8C2313yes—
83C22×C5×C8C2313yes—
84C22×C5×C8C2316yes—
85C5×C4⋊Q8C2×C413yes—
86C5×#127C2×C413yes—
87C5×#126C2×C416yes—
88C5×#126C2×C416yes—
89C5×#125C2×C413yes—
90C5×#125C2×C413yes—
91C5×#124C2×C413yes—
92C5×#124C2×C413yes—
93C5×#124C2×C416yes—
94C5×#123C2×C416yes—
95C5×#123C2×C416yes—
96C5×C22⋊Q8C2×C413yes—
97C5×C22⋊Q8C2×C413yes—
98C5×#121C2×C413yes—
99C5×#121C2×C413yes—
100C5×#121C2×C413yes—
101C5×#121C2×C413yes—
102C5×#121C2×C416yes—
103C4×C5×Q8C2×C411yescharacteristic
104C4×C5×Q8C2×C413yes—
105C4×C5×Q8C2×C411yescharacteristic
106C4×C5×Q8C2×C411yescharacteristic
107C4×C5×Q8C2×C413yes—
108C4×C5×Q8C2×C413yes—
109C4×C5×Q8C2311yescharacteristic
110C4×C5×Q8C2313yes—
111C4×C5×D4C2×C413yes—
112C4×C5×D4C2×C413yes—
113C4×C5×D4C2×C413yes—
114C4×C5×D4C2×C413yes—
115C4×C5×D4C2×C413yes—
116C4×C5×D4C2×C413yes—
117C4×C5×D4C2×C413yes—
118C4×C5×D4C2×C413yes—
119C4×C5×D4C2313yes—
120C4×C5×D4C2313yes—
121C4×C5×D4C2316yes—
122C5×#117C2×C413yes—
123C5×#117C2×C413yes—
124C5×#117C2313yes—
125C5×#117C2313yes—
126C5×#117C2311yescharacteristic
127C2×C5×C4⋊C4C2×C413yes—
128C2×C42×C5C2313yes—
129C2×C42×C5C2313yes—
130C2×C42×C5C2313yes—
131C5×C4⋊C8C2313yes—
132C5×C4⋊C8C2313yes—
133C5×C4⋊C8C2313yes—
134C5×C4⋊C8C2313yes—
135C5×C4⋊C8C2313yes—
136C5×C4⋊C8C2313yes—
137C5×C4⋊C8C2311yescharacteristic
138C5×C4⋊C8C2311yescharacteristic
139C5×C4⋊C8C2313yes—
140C5×C4⋊C8C2313yes—
141C5×C4⋊C8C2313yes—
142C5×C4⋊C8C2313yes—
143C5×C22⋊C8C2311yescharacteristic
144C5×C22⋊C8C2313yes—
145C5×C22⋊C8C2311yescharacteristic
146C5×C22⋊C8C2313yes—
147C5×C22⋊C8C2313yes—
148C5×C22⋊C8C2316yes—
149C5×C22⋊C8C2313yes—
150C5×C22⋊C8C2313yes—
151C5×C22⋊C8C2313yes—
152C5×C22⋊C8C2316yes—
153C5×#97C2311yescharacteristic
154C5×#97C2313yes—
155C5×#97C2316yes—
156C4×C5×C8C2311yescharacteristic
157C4×C5×C8C2313yes—
158C4×C5×C8C2313yes—
159C4×C5×C8C2313yes—
160C4×C5×C8C2313yes—
161C4×C5×C8C2313yes—
162C4×C5×C8C2316yes—
163#3480C2×C511yescharacteristic
164#2994C2×C513yescomplemented
165#2993C2×C513yescomplemented
166#2991C2×C511yescharacteristic, complemented
167#2988C2×C511yescharacteristic, complemented
168#2984C2×C511yescharacteristic, complemented
169#2982C2×C511yescharacteristic, complemented
170#2981C2×C513yescomplemented
171#2979C2×C513yescomplemented
172#2971C2×C511yescharacteristic, complemented
173#2969C2×C513yescomplemented
174#2966C2×C513yescomplemented
175C8×#41C2×C511yescharacteristic, complemented
176#2925C2×C513yescomplemented
177#2922C2×C513yescomplemented
178C5×#41—24no—
179C5×#41—24no—
180C5×#41—43no—
181C5×#41—43no—
182C2×C5×Q8—24no—
183C2×C5×Q8C22×C413yes—
184C2×C5×Q8C22×C413yes—
185C2×C5×Q8C22×C411yescharacteristic
186C2×C5×D4C22×C413yes—
187C2×C5×D4C22×C413yes—
188C2×C5×D4C22×C413yes—
189C2×C5×D4C22×C413yes—
190C2×C5×D4C22×C413yes—
191C2×C5×D4C22×C416yes—
192C22×C4×C5C22×C413yes—
193C22×C4×C5C22×C413yes—
194C22×C4×C5C22×C413yes—
195C22×C4×C5C22×C413yes—
196C22×C4×C5C22×C413yes—
197C22×C4×C5C22×C413yes—
198C22×C4×C5C2411yescharacteristic
199C22×C4×C5C2413yes—
200C22×C4×C5C2413yes—
201C5×M16—43no—
202C5×M16—46no—
203C5×M16—43no—
204C2×C5×C8—43no—
205C2×C5×C8—46no—
206C2×C5×C8—43no—
207C2×C5×C8C2411yescharacteristic
208C2×C5×C8C2413yes—
209C2×C5×C8C2411yescharacteristic
210C2×C5×C8C2413yes—
211C2×C5×C8C2413yes—
212C2×C5×C8C2411yescharacteristic
213C2×C5×C8C2411yescharacteristic
214C2×C5×C8C2413yes—
215C5×C4⋊C4C22×C413yes—
216C5×C4⋊C4C22×C413yes—
217C5×C4⋊C4C22×C416yes—
218C5×C4⋊C4C22×C413yes—
219C5×C4⋊C4C22×C413yes—
220C5×C4⋊C4C22×C411yescharacteristic
221C5×C4⋊C4C22×C411yescharacteristic
222C5×C4⋊C4C22×C413yes—
223C5×C4⋊C4C22×C413yes—
224C5×C4⋊C4C22×C413yes—
225C5×C4⋊C4C22×C413yes—
226C5×C4⋊C4C22×C416yes—
227C5×C22⋊C4C22×C416yes—
228C5×C22⋊C4C22×C416yes—
229C5×C22⋊C4C22×C411yescharacteristic
230C5×C22⋊C4C22×C411yescharacteristic
231C5×C22⋊C4C22×C413yes—
232C5×C22⋊C4C22×C413yes—
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×C5C2411yescharacteristic
244C42×C5C2411yescharacteristic
245C42×C5C2413yes—
246C42×C5C2413yes—
247#559C4×C513yes—
248#557C4×C511yescharacteristic
249#556C4×C513yes—
250#553C4×C513yes—
251#553C4×C513yes—
252#550C4×C511yescharacteristic
253#548C4×C511yescharacteristic
254#548C4×C511yescharacteristic
255#532C22×C513yes—
256#529C22×C513yes—
257#529C22×C513yes—
258C4×#41C22×C511yescharacteristic
259C4×#41C22×C511yescharacteristic
260C4×#41C22×C513yes—
261C2×C4×Q8C22×C511yescharacteristic
262#446C22×C513yes—
263#446C22×C513yes—
264C8×Q8C22×C511yescharacteristic
265C8×Q8C22×C511yescharacteristic
266C8×Q8C22×C513yes—
267C8×Q8C22×C513yes—
268C8×Q8C22×C511yescharacteristic
269C8×Q8C22×C511yescharacteristic
270#436C22×C513yes—
271#436C22×C516yes—
272#436C22×C513yes—
273#436C22×C513yes—
274#436C22×C513yes—
275#435C22×C516yes—
276#435C22×C516yes—
277C8×D4C22×C513yes—
278C8×D4C22×C513yes—
279C8×D4C22×C516yes—
280C8×D4C22×C513yes—
281C8×D4C22×C513yes—
282#433C22×C511yescharacteristic
283#433C22×C513yes—
284#433C22×C513yes—
285#433C22×C513yes—
286#433C22×C516yes—
287#432C22×C513yes—
288#432C22×C513yes—
289#431C22×C513yes—
290#431C22×C513yes—
291#431C22×C513yes—
292#431C22×C513yes—
293#431C22×C513yes—
294#431C22×C513yes—
295#424C22×C513yes—
296#424C22×C513yes—
297#423C22×C513yes—
298C2×C4⋊C8C22×C513yes—
299#408C22×C513yes—
300#408C22×C513yes—
301#408C22×C516yes—
302#405C22×C516yes—
303C4×M16C22×C513yes—
304C2×C4×C8C22×C513yes—
305C23×C5C23×C413yes—
306C23×C5C23×C413yes—
307C23×C5C23×C411yescharacteristic
308C5×Q8—26no—
309C5×Q8—43no—
310C5×Q8#13114yes—
311C5×D4—26no—
312C5×D4—26no—
313C5×D4—46no—
314C5×D4—43no—
315C5×D4—43no—
316C5×D4—43no—
317C2×C4×C5—26no—
318C2×C4×C5—26no—
319C2×C4×C5—26no—
320C2×C4×C5—23no—
321C2×C4×C5—23no—
322C2×C4×C5—23no—
323C2×C4×C5—23no—
324C2×C4×C5—21no—
325C2×C4×C5—21no—
326C2×C4×C5—43no—
327C2×C4×C5—43no—
328C2×C4×C5—43no—
329C2×C4×C5C23×C411yescharacteristic
330C2×C4×C5C23×C411yescharacteristic
331C2×C4×C5C23×C411yescharacteristic
332C2×C4×C5C23×C413yes—
333C2×C4×C5C23×C411yescharacteristic
334C2×C4×C5C23×C411yescharacteristic
335C2×C4×C5C23×C413yes—
336C2×C4×C5C23×C413yes—
337C2×C4×C5C23×C413yes—
338C2×C4×C5C23×C413yes—
339C2×C4×C5C23×C413yes—
340C2×C4×C5C2511yescharacteristic
341C5×C8—21no—
342C5×C8—23no—
343C5×C8—21no—
344C5×C8—23no—
345C5×C8—23no—
346C5×C8—21no—
347C5×C8—21no—
348C5×C8—23no—
349C2×#41C2×C4×C511yescharacteristic
350C2×#41C2×C4×C511yescharacteristic
351C2×#41C23×C513yes—
352C22×Q8C2×C4×C511yescharacteristic
353C2×M16C23×C513yes—
354C2×M16C23×C513yes—
355C2×M16C23×C516yes—
356C22×C8C23×C513yes—
357C22×C8C23×C513yes—
358C22×C8C23×C516yes—
359C4⋊Q8C2×C4×C513yes—
360#127C2×C4×C513yes—
361#126C2×C4×C516yes—
362#126C2×C4×C516yes—
363#125C2×C4×C513yes—
364#125C2×C4×C513yes—
365#124C2×C4×C513yes—
366#124C2×C4×C513yes—
367#124C2×C4×C516yes—
368#123C2×C4×C516yes—
369#123C2×C4×C516yes—
370C22⋊Q8C2×C4×C513yes—
371C22⋊Q8C2×C4×C513yes—
372#121C2×C4×C513yes—
373#121C2×C4×C513yes—
374#121C2×C4×C513yes—
375#121C2×C4×C513yes—
376#121C2×C4×C516yes—
377C4×Q8C2×C4×C511yescharacteristic
378C4×Q8C2×C4×C513yes—
379C4×Q8C2×C4×C511yescharacteristic
380C4×Q8C2×C4×C511yescharacteristic
381C4×Q8C2×C4×C513yes—
382C4×Q8C2×C4×C513yes—
383C4×Q8C23×C511yescharacteristic
384C4×Q8C23×C513yes—
385C4×D4C2×C4×C513yes—
386C4×D4C2×C4×C513yes—
387C4×D4C2×C4×C513yes—
388C4×D4C2×C4×C513yes—
389C4×D4C2×C4×C513yes—
390C4×D4C2×C4×C513yes—
391C4×D4C2×C4×C513yes—
392C4×D4C2×C4×C513yes—
393C4×D4C23×C513yes—
394C4×D4C23×C513yes—
395C4×D4C23×C516yes—
396#117C2×C4×C513yes—
397#117C2×C4×C513yes—
398#117C23×C511yescharacteristic
399#117C23×C513yes—
400#117C23×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×C513yes—
410C4⋊C8C23×C513yes—
411C4⋊C8C23×C511yescharacteristic
412C4⋊C8C23×C511yescharacteristic
413C4⋊C8C23×C513yes—
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×C516yes—
423C22⋊C8C23×C513yes—
424C22⋊C8C23×C513yes—
425C22⋊C8C23×C513yes—
426C22⋊C8C23×C516yes—
427#97C23×C511yescharacteristic
428#97C23×C513yes—
429#97C23×C516yes—
430C4×C8C23×C511yescharacteristic
431C4×C8C23×C513yes—
432C4×C8C23×C513yes—
433C4×C8C23×C513yes—
434C4×C8C23×C513yes—
435C4×C8C23×C513yes—
436C4×C8C23×C516yes—
437C22×C5—21no—
438C22×C5—23no—
439C22×C5—23no—
440C22×C5—21no—
441C22×C5—23no—
442C22×C5—23no—
443C22×C5—21no—
444C22×C5—23no—
445C22×C5—23no—
446C22×C5C24×C411yescharacteristic
447C4×C5—21no—
448C4×C5—23no—
449C4×C5—23no—
450C4×C5—21no—
451C4×C5—21no—
452C4×C5—23no—
453C4×C5—21no—
454C4×C5—21no—
455C4×C5—23no—
456C4×C5—23no—
457C4×C5C2×#13116yes—
458C4×C5#58511yescharacteristic
459C4×C5#58511yescharacteristic
460#41—24no—
461#41—24no—
462#41—43no—
463#41—43no—
464C2×Q8—24no—
465C2×Q8C22×C4×C513yes—
466C2×Q8C22×C4×C513yes—
467C2×Q8C22×C4×C511yescharacteristic
468C2×D4C22×C4×C513yes—
469C2×D4C22×C4×C513yes—
470C2×D4C22×C4×C513yes—
471C2×D4C22×C4×C513yes—
472C2×D4C22×C4×C513yes—
473C2×D4C22×C4×C516yes—
474C22×C4C22×C4×C513yes—
475C22×C4C22×C4×C513yes—
476C22×C4C22×C4×C513yes—
477C22×C4C22×C4×C513yes—
478C22×C4C22×C4×C513yes—
479C22×C4C22×C4×C513yes—
480C22×C4C24×C511yescharacteristic
481C22×C4C24×C513yes—
482C22×C4C24×C513yes—
483M16—43no—
484M16—46no—
485M16—43no—
486C2×C8—43no—
487C2×C8—46no—
488C2×C8—43no—
489C2×C8C24×C511yescharacteristic
490C2×C8C24×C511yescharacteristic
491C2×C8C24×C513yes—
492C2×C8C24×C511yescharacteristic
493C2×C8C24×C511yescharacteristic
494C2×C8C24×C513yes—
495C2×C8C24×C513yes—
496C2×C8C24×C513yes—
497C4⋊C4C22×C4×C513yes—
498C4⋊C4C22×C4×C513yes—
499C4⋊C4C22×C4×C516yes—
500C4⋊C4C22×C4×C513yes—
501C4⋊C4C22×C4×C513yes—
502C4⋊C4C22×C4×C511yescharacteristic
503C4⋊C4C22×C4×C511yescharacteristic
504C4⋊C4C22×C4×C513yes—
505C4⋊C4C22×C4×C513yes—
506C4⋊C4C22×C4×C513yes—
507C4⋊C4C22×C4×C513yes—
508C4⋊C4C22×C4×C516yes—
509C22⋊C4C22×C4×C516yes—
510C22⋊C4C22×C4×C516yes—
511C22⋊C4C22×C4×C511yescharacteristic
512C22⋊C4C22×C4×C511yescharacteristic
513C22⋊C4C22×C4×C513yes—
514C22⋊C4C22×C4×C513yes—
515C22⋊C4C22×C4×C513yes—
516C22⋊C4C22×C4×C513yes—
517C22⋊C4C22×C4×C516yes—
518C22⋊C4C22×C4×C516yes—
519C42C22×C4×C513yes—
520C42C22×C4×C513yes—
521C42C22×C4×C513yes—
522C42C22×C4×C513yes—
523C42C22×C4×C513yes—
524C42C22×C4×C513yes—
525C42C24×C511yescharacteristic
526C42C24×C513yes—
527C42C24×C513yes—
528C42C24×C511yescharacteristic
529C2×C5—41no—
530C2×C5—43no—
531C2×C5—43no—
532C2×C5#342811yescharacteristic
533C2×C5C22×#13111yescharacteristic
534C2×C5#357311yescharacteristic
535C23C23×C4×C513yes—
536C23C23×C4×C513yes—
537C23C23×C4×C511yescharacteristic
538Q8—26no—
539Q8—43no—
540Q8C5×#13114yes—
541D4—26no—
542D4—26no—
543D4—43no—
544D4—43no—
545D4—43no—
546D4—46no—
547C2×C4—26no—
548C2×C4—26no—
549C2×C4—26no—
550C2×C4—23no—
551C2×C4—23no—
552C2×C4—23no—
553C2×C4—23no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—43no—
557C2×C4—43no—
558C2×C4—43no—
559C2×C4C23×C4×C511yescharacteristic
560C2×C4C23×C4×C511yescharacteristic
561C2×C4C23×C4×C511yescharacteristic
562C2×C4C23×C4×C513yes—
563C2×C4C23×C4×C511yescharacteristic
564C2×C4C23×C4×C511yescharacteristic
565C2×C4C23×C4×C513yes—
566C2×C4C23×C4×C513yes—
567C2×C4C23×C4×C513yes—
568C2×C4C23×C4×C513yes—
569C2×C4C23×C4×C513yes—
570C2×C4C25×C511yescharacteristic
571C8—21no—
572C8—23no—
573C8—21no—
574C8—23no—
575C8—23no—
576C8—21no—
577C8—21no—
578C8—23no—
579C5#6030111yescharacteristic, direct product factor, Sylow
580C22—21no—
581C22—23no—
582C22—23no—
583C22—21no—
584C22—23no—
585C22—23no—
586C22—21no—
587C22—23no—
588C22—23no—
589C22C24×C4×C511yescharacteristic
590C4—21no—
591C4—23no—
592C4—23no—
593C4—21no—
594C4—21no—
595C4—23no—
596C4—21no—
597C4—21no—
598C4—23no—
599C4—23no—
600C4C2×C5×#13116yes—
601C4C5×#58511yescharacteristic
602C4C5×#58511yescharacteristic
603C2—41no—
604C2—43no—
605C2—43no—
606C2C5×#342811yescharacteristic
607C2C22×C5×#13111yescharacteristic
608C2C5×#357311yescharacteristic
subgroupG/H
centerC2×C4×C5C25
commutatorC22C24×C4×C5
Frattini, cosocleC2×C4C25×C5
socleC22×C5C24×C4
prime radicalC5×#3480C2
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×#2991C2semidirect
5. C5×#2988C2semidirect
6. C5×#2984C2semidirect
7. C5×#2982C2semidirect
8. C5×#2981C2semidirect
9. C5×#2979C2semidirect
10. C5×#2971C2semidirect
11. C5×#2969C2semidirect
12. C5×#2966C2semidirect
13. C5×C8×#41C2semidirect
14. C5×#2925C2semidirect
15. C5×#2922C2semidirect
74. #60301C5direct (N × H)
164. #2994C2×C5semidirect
165. #2993C2×C5semidirect
166. #2991C2×C5semidirect
167. #2988C2×C5semidirect
168. #2984C2×C5semidirect
169. #2982C2×C5semidirect
170. #2981C2×C5semidirect
171. #2979C2×C5semidirect
172. #2971C2×C5semidirect
173. #2969C2×C5semidirect
174. #2966C2×C5semidirect
175. C8×#41C2×C5semidirect
176. #2925C2×C5semidirect
177. #2922C2×C5semidirect
579. C5#60301direct (N × H)

Maximal subgroups

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

subgroupindex
C5×#34802
C5×#29942
C5×#29932
C5×#29912
C5×#29882
C5×#29842
C5×#29822
C5×#29812
C5×#29792
C5×#29712
C5×#29692
C5×#29662
C5×C8×#412
C5×#29252
C5×#29222
#603015