Finite Group Databasebeta

← C26×C3×C8×C16 #72201886

Subgroups — C26×C3×C8×C16 #72201886

Order 24576.

16285468 conjugacy classes of subgroups.

The subgroup lattice has 456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C26×C3×C82C211yesmaximal, characteristic
2C26×C3×C4×C16C212yesmaximal
3C25×C3×C8×C16C21252yesmaximal, direct product factor
4C26×C8×C16C311yesmaximal, characteristic, direct product factor, Sylow
5C26×C3×C4×C8C412yes—
6C26×C3×C4×C8C2211yescharacteristic
7C25×C3×C82C41126yes—
8C25×C3×C82C221126yes—
9C27×C3×C16C414yes—
10C25×C3×C4×C16C41252yes—
11C25×C3×C4×C16C221252yes—
12C24×C3×C8×C16C22110416yesdirect product factor
13C26×C82C2×C311yescharacteristic
14C26×C4×C16C2×C312yes—
15C25×C8×C16C2×C31252yesdirect product factor
16C26×C3×C42C2×C411yescharacteristic
17C27×C3×C8C814yes—
18C27×C3×C8C2×C412yes—
19C25×C3×C4×C8C81252yes—
20C25×C3×C4×C8C2×C4163yes—
21C25×C3×C4×C8C2×C41126yes—
22C25×C3×C4×C8C2×C41252yes—
23C25×C3×C4×C8C23163yes—
24C24×C3×C82C2×C417812yes—
25C24×C3×C82C2312604yes—
26C24×C3×C4×C16C2×C4115624yes—
27C24×C3×C4×C16C2315208yes—
28C26×C3×C16C81512yesdirect product factor
29C26×C3×C16C2×C41504yes—
30C23×C3×C8×C16C23189280yesdirect product factor
31C26×C4×C8C3×C412yes—
32C26×C4×C8C22×C311yescharacteristic
33C25×C82C3×C41126yes—
34C25×C82C22×C31126yes—
35C27×C16C3×C414yes—
36C25×C4×C16C3×C41252yes—
37C25×C4×C16C22×C31252yes—
38C24×C8×C16C22×C3110416yesdirect product factor
39C27×C3×C4C4211yescharacteristic
40C27×C3×C4C2×C812yes—
41C25×C3×C42C42163yes—
42C25×C3×C42C2×C81126yes—
43C25×C3×C42C22×C4163yes—
44C26×C3×C8C161512yesdirect product factor
45C26×C3×C8C421126yes—
46C26×C3×C8C2×C81256yes—
47C26×C3×C8C2×C81504yes—
48C26×C3×C8C22×C41126yes—
49C24×C3×C4×C8C4213906yes—
50C24×C3×C4×C8C2×C8115624yes—
51C24×C3×C4×C8C22×C413906yes—
52C24×C3×C4×C8C22×C415208yes—
53C24×C3×C4×C8C22×C411953yes—
54C24×C3×C4×C8C241651yes—
55C23×C3×C82C22×C4178120yes—
56C23×C3×C82C24111160yes—
57C23×C3×C4×C16C22×C41156240yes—
58C23×C3×C4×C16C24122320yes—
59C25×C3×C16C2×C8132256yesdirect product factor
60C25×C3×C16C22×C4110416yes—
61C22×C3×C8×C16C241166656yesdirect product factor
62C26×C42C2×C3×C411yescharacteristic
63C25×C4×C8C3×C81252yes—
64C25×C4×C8C2×C3×C4163yes—
65C25×C4×C8C2×C3×C41126yes—
66C25×C4×C8C2×C3×C41252yes—
67C25×C4×C8C23×C3163yes—
68C27×C8C3×C814yes—
69C27×C8C2×C3×C412yes—
70C24×C82C2×C3×C417812yes—
71C24×C82C23×C312604yes—
72C24×C4×C16C2×C3×C4115624yes—
73C24×C4×C16C23×C315208yes—
74C26×C16C3×C81512yesdirect product factor
75C26×C16C2×C3×C41504yes—
76C23×C8×C16C23×C3189280yesdirect product factor
77C28×C3C4×C811yescharacteristic
78C26×C3×C4C4×C8163yes—
79C26×C3×C4C4×C81126yes—
80C26×C3×C4C4×C81128yes—
81C26×C3×C4C2×C161256yes—
82C26×C3×C4C2×C42163yes—
83C26×C3×C4C22×C81126yes—
84C25×C3×C8C4×C818064yes—
85C25×C3×C8C2×C16132256yesdirect product factor
86C25×C3×C8C2×C4213906yes—
87C25×C3×C8C22×C818064yes—
88C25×C3×C8C22×C8110416yes—
89C25×C3×C8C23×C411302yes—
90C24×C3×C42C4×C813906yes—
91C24×C3×C42C2×C4211953yes—
92C24×C3×C42C22×C813906yes—
93C24×C3×C42C23×C41651yes—
94C24×C3×C16C22×C81333312yesdirect product factor
95C24×C3×C16C23×C4144640yes—
96C23×C3×C4×C8C2×C42158590yes—
97C23×C3×C4×C8C22×C81156240yes—
98C23×C3×C4×C8C23×C419765yes—
99C23×C3×C4×C8C23×C4122320yes—
100C23×C3×C4×C8C23×C4119530yes—
101C23×C3×C4×C8C2511395yes—
102C22×C3×C4×C16C23×C41312480yes—
103C22×C3×C4×C16C25120832yes—
104C22×C3×C82C23×C41156240yes—
105C22×C3×C82C25110416yes—
106C2×C3×C8×C16C25164512yesdirect product factor
107C27×C4C3×C4211yescharacteristic
108C27×C4C2×C3×C812yes—
109C26×C8C3×C161512yesdirect product factor
110C26×C8C3×C421126yes—
111C26×C8C2×C3×C81256yes—
112C26×C8C2×C3×C81504yes—
113C26×C8C22×C3×C41126yes—
114C25×C42C3×C42163yes—
115C25×C42C2×C3×C81126yes—
116C25×C42C22×C3×C4163yes—
117C25×C16C2×C3×C8132256yesdirect product factor
118C25×C16C22×C3×C4110416yes—
119C24×C4×C8C3×C4213906yes—
120C24×C4×C8C2×C3×C8115624yes—
121C24×C4×C8C22×C3×C413906yes—
122C24×C4×C8C22×C3×C415208yes—
123C24×C4×C8C22×C3×C411953yes—
124C24×C4×C8C24×C31651yes—
125C23×C4×C16C22×C3×C41156240yes—
126C23×C4×C16C24×C3122320yes—
127C23×C82C22×C3×C4178120yes—
128C23×C82C24×C3111160yes—
129C22×C8×C16C24×C31166656yesdirect product factor
130C27×C3C82164yes—
131C27×C3C4×C161128yes—
132C27×C3C2×C4×C8163yes—
133C25×C3×C4C8214032yes—
134C25×C3×C4C4×C1618064yes—
135C25×C3×C4C2×C4×C813906yes—
136C25×C3×C4C2×C4×C811953yes—
137C25×C3×C4C2×C4×C814032yes—
138C25×C3×C4C22×C1618064yes—
139C25×C3×C4C22×C421651yes—
140C25×C3×C4C23×C811302yes—
141C24×C3×C8C2×C4×C81124992yes—
142C24×C3×C8C22×C161333312yesdirect product factor
143C24×C3×C8C22×C42119530yes—
144C24×C3×C8C23×C8144640yes—
145C24×C3×C8C23×C8141664yes—
146C24×C3×C8C24×C412790yes—
147C23×C3×C42C2×C4×C8158590yes—
148C23×C3×C42C22×C4219765yes—
149C23×C3×C42C23×C8119530yes—
150C23×C3×C42C24×C411395yes—
151C23×C3×C16C23×C81714240yesdirect product factor
152C23×C3×C16C24×C4141664yes—
153C22×C3×C4×C8C22×C421136710yes—
154C22×C3×C4×C8C23×C81312480yes—
155C22×C3×C4×C8C24×C419765yes—
156C22×C3×C4×C8C24×C4119530yes—
157C22×C3×C4×C8C24×C4120832yes—
158C22×C3×C4×C8C261651yes—
159C2×C3×C4×C16C24×C41124992yes—
160C2×C3×C4×C16C2614032yes—
161C2×C3×C82C24×C4162496yes—
162C2×C3×C82C2612016yes—
163C3×C8×C16C2614096yesdirect product factor
164C28C3×C4×C811yescharacteristic
165C26×C4C3×C4×C8163yes—
166C26×C4C3×C4×C81126yes—
167C26×C4C3×C4×C81128yes—
168C26×C4C2×C3×C161256yes—
169C26×C4C2×C3×C42163yes—
170C26×C4C22×C3×C81126yes—
171C25×C8C3×C4×C818064yes—
172C25×C8C2×C3×C16132256yesdirect product factor
173C25×C8C2×C3×C4213906yes—
174C25×C8C22×C3×C818064yes—
175C25×C8C22×C3×C8110416yes—
176C25×C8C23×C3×C411302yes—
177C24×C42C3×C4×C813906yes—
178C24×C42C2×C3×C4211953yes—
179C24×C42C22×C3×C813906yes—
180C24×C42C23×C3×C41651yes—
181C24×C16C22×C3×C81333312yesdirect product factor
182C24×C16C23×C3×C4144640yes—
183C23×C4×C8C2×C3×C42158590yes—
184C23×C4×C8C22×C3×C81156240yes—
185C23×C4×C8C23×C3×C419765yes—
186C23×C4×C8C23×C3×C4122320yes—
187C23×C4×C8C23×C3×C4119530yes—
188C23×C4×C8C25×C311395yes—
189C22×C4×C16C23×C3×C41312480yes—
190C22×C4×C16C25×C3120832yes—
191C22×C82C23×C3×C41156240yes—
192C22×C82C25×C3110416yes—
193C2×C8×C16C25×C3164512yesdirect product factor
194C26×C3C8×C1614096yesdirect product factor
195C26×C3C2×C8212016yes—
196C26×C3C2×C4×C1614032yes—
197C26×C3C22×C4×C81651yes—
198C24×C3×C4C2×C82162496yes—
199C24×C3×C4C2×C4×C161124992yes—
200C24×C3×C4C22×C4×C819765yes—
201C24×C3×C4C22×C4×C8119530yes—
202C24×C3×C4C22×C4×C8120832yes—
203C24×C3×C4C23×C16141664yes—
204C24×C3×C4C23×C4211395yes—
205C24×C3×C4C24×C812790yes—
206C23×C3×C8C22×C4×C81312480yes—
207C23×C3×C8C23×C161714240yesdirect product factor
208C23×C3×C8C23×C42119530yes—
209C23×C3×C8C24×C8144640yes—
210C23×C3×C8C24×C8141664yes—
211C23×C3×C8C25×C411302yes—
212C22×C3×C42C22×C4×C81136710yes—
213C22×C3×C42C23×C4219765yes—
214C22×C3×C42C24×C8119530yes—
215C22×C3×C42C25×C41651yes—
216C22×C3×C16C24×C81333312yesdirect product factor
217C22×C3×C16C25×C418064yes—
218C2×C3×C4×C8C23×C42158590yes—
219C2×C3×C4×C8C24×C81124992yes—
220C2×C3×C4×C8C25×C413906yes—
221C2×C3×C4×C8C25×C411953yes—
222C2×C3×C4×C8C25×C414032yes—
223C2×C3×C4×C8C27163yes—
224C3×C4×C16C25×C418064yes—
225C3×C4×C16C271128yes—
226C3×C82C25×C414032yes—
227C3×C82C27164yes—
228C27C3×C82164yes—
229C27C3×C4×C161128yes—
230C27C2×C3×C4×C8163yes—
231C25×C4C3×C8214032yes—
232C25×C4C3×C4×C1618064yes—
233C25×C4C2×C3×C4×C813906yes—
234C25×C4C2×C3×C4×C811953yes—
235C25×C4C2×C3×C4×C814032yes—
236C25×C4C22×C3×C1618064yes—
237C25×C4C22×C3×C421651yes—
238C25×C4C23×C3×C811302yes—
239C24×C8C2×C3×C4×C81124992yes—
240C24×C8C22×C3×C161333312yesdirect product factor
241C24×C8C22×C3×C42119530yes—
242C24×C8C23×C3×C8144640yes—
243C24×C8C23×C3×C8141664yes—
244C24×C8C24×C3×C412790yes—
245C23×C42C2×C3×C4×C8158590yes—
246C23×C42C22×C3×C4219765yes—
247C23×C42C23×C3×C8119530yes—
248C23×C42C24×C3×C411395yes—
249C23×C16C23×C3×C81714240yesdirect product factor
250C23×C16C24×C3×C4141664yes—
251C22×C4×C8C22×C3×C421136710yes—
252C22×C4×C8C23×C3×C81312480yes—
253C22×C4×C8C24×C3×C419765yes—
254C22×C4×C8C24×C3×C4119530yes—
255C22×C4×C8C24×C3×C4120832yes—
256C22×C4×C8C26×C31651yes—
257C2×C4×C16C24×C3×C41124992yes—
258C2×C4×C16C26×C314032yes—
259C2×C82C24×C3×C4162496yes—
260C2×C82C26×C312016yes—
261C8×C16C26×C314096yesdirect product factor
262C25×C3C2×C8×C16164512yesdirect product factor
263C25×C3C22×C82110416yes—
264C25×C3C22×C4×C16120832yes—
265C25×C3C23×C4×C811395yes—
266C23×C3×C4C22×C821156240yes—
267C23×C3×C4C22×C4×C161312480yes—
268C23×C3×C4C23×C4×C819765yes—
269C23×C3×C4C23×C4×C8122320yes—
270C23×C3×C4C23×C4×C8119530yes—
271C23×C3×C4C24×C16144640yes—
272C23×C3×C4C24×C421651yes—
273C23×C3×C4C25×C811302yes—
274C22×C3×C8C23×C4×C81156240yes—
275C22×C3×C8C24×C161333312yesdirect product factor
276C22×C3×C8C24×C4213906yes—
277C22×C3×C8C25×C818064yes—
278C22×C3×C8C25×C8110416yes—
279C22×C3×C8C26×C41126yes—
280C2×C3×C42C23×C4×C8158590yes—
281C2×C3×C42C24×C4211953yes—
282C2×C3×C42C25×C813906yes—
283C2×C3×C42C26×C4163yes—
284C2×C3×C16C25×C8132256yesdirect product factor
285C2×C3×C16C26×C41256yes—
286C3×C4×C8C24×C4213906yes—
287C3×C4×C8C25×C818064yes—
288C3×C4×C8C26×C4163yes—
289C3×C4×C8C26×C41126yes—
290C3×C4×C8C26×C41128yes—
291C3×C4×C8C2811yescharacteristic
292C26C3×C8×C1614096yesdirect product factor
293C26C2×C3×C8212016yes—
294C26C2×C3×C4×C1614032yes—
295C26C22×C3×C4×C81651yes—
296C24×C4C2×C3×C82162496yes—
297C24×C4C2×C3×C4×C161124992yes—
298C24×C4C22×C3×C4×C819765yes—
299C24×C4C22×C3×C4×C8119530yes—
300C24×C4C22×C3×C4×C8120832yes—
301C24×C4C23×C3×C16141664yes—
302C24×C4C23×C3×C4211395yes—
303C24×C4C24×C3×C812790yes—
304C23×C8C22×C3×C4×C81312480yes—
305C23×C8C23×C3×C161714240yesdirect product factor
306C23×C8C23×C3×C42119530yes—
307C23×C8C24×C3×C8144640yes—
308C23×C8C24×C3×C8141664yes—
309C23×C8C25×C3×C411302yes—
310C22×C42C22×C3×C4×C81136710yes—
311C22×C42C23×C3×C4219765yes—
312C22×C42C24×C3×C8119530yes—
313C22×C42C25×C3×C41651yes—
314C22×C16C24×C3×C81333312yesdirect product factor
315C22×C16C25×C3×C418064yes—
316C2×C4×C8C23×C3×C42158590yes—
317C2×C4×C8C24×C3×C81124992yes—
318C2×C4×C8C25×C3×C413906yes—
319C2×C4×C8C25×C3×C411953yes—
320C2×C4×C8C25×C3×C414032yes—
321C2×C4×C8C27×C3163yes—
322C4×C16C25×C3×C418064yes—
323C4×C16C27×C31128yes—
324C82C25×C3×C414032yes—
325C82C27×C3164yes—
326C24×C3C22×C8×C161166656yesdirect product factor
327C24×C3C23×C82111160yes—
328C24×C3C23×C4×C16122320yes—
329C24×C3C24×C4×C81651yes—
330C22×C3×C4C23×C82178120yes—
331C22×C3×C4C23×C4×C161156240yes—
332C22×C3×C4C24×C4×C813906yes—
333C22×C3×C4C24×C4×C815208yes—
334C22×C3×C4C24×C4×C811953yes—
335C22×C3×C4C25×C16110416yes—
336C22×C3×C4C25×C42163yes—
337C22×C3×C4C26×C81126yes—
338C2×C3×C8C24×C4×C8115624yes—
339C2×C3×C8C25×C16132256yesdirect product factor
340C2×C3×C8C25×C421126yes—
341C2×C3×C8C26×C81256yes—
342C2×C3×C8C26×C81504yes—
343C2×C3×C8C27×C412yes—
344C3×C42C24×C4×C813906yes—
345C3×C42C25×C42163yes—
346C3×C42C26×C81126yes—
347C3×C42C27×C411yescharacteristic
348C3×C16C26×C81512yesdirect product factor
349C25C2×C3×C8×C16164512yesdirect product factor
350C25C22×C3×C82110416yes—
351C25C22×C3×C4×C16120832yes—
352C25C23×C3×C4×C811395yes—
353C23×C4C22×C3×C821156240yes—
354C23×C4C22×C3×C4×C161312480yes—
355C23×C4C23×C3×C4×C819765yes—
356C23×C4C23×C3×C4×C8122320yes—
357C23×C4C23×C3×C4×C8119530yes—
358C23×C4C24×C3×C16144640yes—
359C23×C4C24×C3×C421651yes—
360C23×C4C25×C3×C811302yes—
361C22×C8C23×C3×C4×C81156240yes—
362C22×C8C24×C3×C161333312yesdirect product factor
363C22×C8C24×C3×C4213906yes—
364C22×C8C25×C3×C818064yes—
365C22×C8C25×C3×C8110416yes—
366C22×C8C26×C3×C41126yes—
367C2×C42C23×C3×C4×C8158590yes—
368C2×C42C24×C3×C4211953yes—
369C2×C42C25×C3×C813906yes—
370C2×C42C26×C3×C4163yes—
371C2×C16C25×C3×C8132256yesdirect product factor
372C2×C16C26×C3×C41256yes—
373C4×C8C24×C3×C4213906yes—
374C4×C8C25×C3×C818064yes—
375C4×C8C26×C3×C4163yes—
376C4×C8C26×C3×C41126yes—
377C4×C8C26×C3×C41128yes—
378C4×C8C28×C311yescharacteristic
379C23×C3C23×C8×C16189280yesdirect product factor
380C23×C3C24×C4×C1615208yes—
381C23×C3C24×C8212604yes—
382C23×C3C25×C4×C8163yes—
383C2×C3×C4C26×C161504yes—
384C2×C3×C4C24×C4×C16115624yes—
385C2×C3×C4C24×C8217812yes—
386C2×C3×C4C27×C812yes—
387C2×C3×C4C25×C4×C8163yes—
388C2×C3×C4C25×C4×C81126yes—
389C2×C3×C4C25×C4×C81252yes—
390C2×C3×C4C26×C4211yescharacteristic
391C3×C8C26×C161512yesdirect product factor
392C3×C8C27×C814yes—
393C3×C8C25×C4×C81252yes—
394C24C22×C3×C8×C161166656yesdirect product factor
395C24C23×C3×C4×C16122320yes—
396C24C23×C3×C82111160yes—
397C24C24×C3×C4×C81651yes—
398C22×C4C25×C3×C16110416yes—
399C22×C4C23×C3×C4×C161156240yes—
400C22×C4C23×C3×C82178120yes—
401C22×C4C24×C3×C4×C813906yes—
402C22×C4C24×C3×C4×C815208yes—
403C22×C4C24×C3×C4×C811953yes—
404C22×C4C26×C3×C81126yes—
405C22×C4C25×C3×C42163yes—
406C2×C8C25×C3×C16132256yesdirect product factor
407C2×C8C24×C3×C4×C8115624yes—
408C2×C8C26×C3×C81256yes—
409C2×C8C26×C3×C81504yes—
410C2×C8C25×C3×C421126yes—
411C2×C8C27×C3×C412yes—
412C42C24×C3×C4×C813906yes—
413C42C26×C3×C81126yes—
414C42C25×C3×C42163yes—
415C42C27×C3×C411yescharacteristic
416C16C26×C3×C81512yesdirect product factor
417C22×C3C24×C8×C16110416yesdirect product factor
418C22×C3C25×C4×C161252yes—
419C22×C3C25×C821126yes—
420C22×C3C26×C4×C811yescharacteristic
421C3×C4C25×C4×C161252yes—
422C3×C4C27×C1614yes—
423C3×C4C25×C821126yes—
424C3×C4C26×C4×C812yes—
425C23C23×C3×C8×C16189280yesdirect product factor
426C23C24×C3×C4×C1615208yes—
427C23C24×C3×C8212604yes—
428C23C25×C3×C4×C8163yes—
429C2×C4C26×C3×C161504yes—
430C2×C4C24×C3×C4×C16115624yes—
431C2×C4C24×C3×C8217812yes—
432C2×C4C25×C3×C4×C8163yes—
433C2×C4C25×C3×C4×C81126yes—
434C2×C4C25×C3×C4×C81252yes—
435C2×C4C27×C3×C812yes—
436C2×C4C26×C3×C4211yescharacteristic
437C8C26×C3×C161512yesdirect product factor
438C8C25×C3×C4×C81252yes—
439C8C27×C3×C814yes—
440C2×C3C25×C8×C161252yesdirect product factor
441C2×C3C26×C4×C1612yes—
442C2×C3C26×C8211yescharacteristic
443C22C24×C3×C8×C16110416yesdirect product factor
444C22C25×C3×C4×C161252yes—
445C22C25×C3×C821126yes—
446C22C26×C3×C4×C811yescharacteristic
447C4C25×C3×C4×C161252yes—
448C4C27×C3×C1614yes—
449C4C25×C3×C821126yes—
450C4C26×C3×C4×C812yes—
451C3C26×C8×C1611yescharacteristic, direct product factor, Sylow
452C2C25×C3×C8×C161252yesdirect product factor
453C2C26×C3×C4×C1612yes—
454C2C26×C3×C8211yescharacteristic
subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC4×C8C28×C3
socle, prime radicalC28×C3C4×C8
LCSG ▷ C1
UCSC1 ◁ G

Complements

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

NH ≅ G/Ntype
3. C25×C3×C8×C16C2direct (N × H)
4. C26×C8×C16C3direct (N × H)
12. C24×C3×C8×C16C22direct (N × H)
15. C25×C8×C16C2×C3direct (N × H)
28. C26×C3×C16C8direct (N × H)
30. C23×C3×C8×C16C23direct (N × H)
38. C24×C8×C16C22×C3direct (N × H)
44. C26×C3×C8C16direct (N × H)
59. C25×C3×C16C2×C8direct (N × H)
61. C22×C3×C8×C16C24direct (N × H)
74. C26×C16C3×C8direct (N × H)
76. C23×C8×C16C23×C3direct (N × H)
85. C25×C3×C8C2×C16direct (N × H)
94. C24×C3×C16C22×C8direct (N × H)
106. C2×C3×C8×C16C25direct (N × H)
109. C26×C8C3×C16direct (N × H)
117. C25×C16C2×C3×C8direct (N × H)
129. C22×C8×C16C24×C3direct (N × H)
142. C24×C3×C8C22×C16direct (N × H)
151. C23×C3×C16C23×C8direct (N × H)
163. C3×C8×C16C26direct (N × H)
172. C25×C8C2×C3×C16direct (N × H)
181. C24×C16C22×C3×C8direct (N × H)
193. C2×C8×C16C25×C3direct (N × H)
194. C26×C3C8×C16direct (N × H)
207. C23×C3×C8C23×C16direct (N × H)
216. C22×C3×C16C24×C8direct (N × H)
240. C24×C8C22×C3×C16direct (N × H)
249. C23×C16C23×C3×C8direct (N × H)
261. C8×C16C26×C3direct (N × H)
262. C25×C3C2×C8×C16direct (N × H)
275. C22×C3×C8C24×C16direct (N × H)
284. C2×C3×C16C25×C8direct (N × H)
292. C26C3×C8×C16direct (N × H)
305. C23×C8C23×C3×C16direct (N × H)
314. C22×C16C24×C3×C8direct (N × H)
326. C24×C3C22×C8×C16direct (N × H)
339. C2×C3×C8C25×C16direct (N × H)
348. C3×C16C26×C8direct (N × H)
349. C25C2×C3×C8×C16direct (N × H)
362. C22×C8C24×C3×C16direct (N × H)
371. C2×C16C25×C3×C8direct (N × H)
379. C23×C3C23×C8×C16direct (N × H)
391. C3×C8C26×C16direct (N × H)
394. C24C22×C3×C8×C16direct (N × H)
406. C2×C8C25×C3×C16direct (N × H)
416. C16C26×C3×C8direct (N × H)
417. C22×C3C24×C8×C16direct (N × H)
425. C23C23×C3×C8×C16direct (N × H)
437. C8C26×C3×C16direct (N × H)
440. C2×C3C25×C8×C16direct (N × H)
443. C22C24×C3×C8×C16direct (N × H)
451. C3C26×C8×C16direct (N × H)
452. C2C25×C3×C8×C16direct (N × H)

Maximal subgroups

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

subgroupindex
C26×C3×C822
C26×C3×C4×C162
C25×C3×C8×C162
C26×C8×C163