Finite Group Databasebeta

← #17199529

Subgroups — #17199529

Order 4352.

2132 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14531950C214yesmaximal, complemented
2#14531884C212yesmaximal, complemented
3#14531874C211yesmaximal, characteristic, complemented
4#14531815C212yesmaximal, complemented
5#14531733C211yesmaximal, characteristic
6#14531733C212yesmaximal
7Q8×C4⋊Dic17C211yesmaximal, characteristic, complemented
8#14531653C212yesmaximal, complemented
9#14531526C212yesmaximal, complemented
10#14531468C214yesmaximal, complemented
11#14531468C212yesmaximal, complemented
12#14531427C212yesmaximal
13#14531402C212yesmaximal, complemented
14C4⋊Q8×Dic17C211yesmaximal, characteristic, complemented
15#14531262C211yesmaximal, characteristic, complemented
16#14531249C211yesmaximal, characteristic
17C2×C17×#554C211yesmaximal, characteristic
18C2×Q8×Dic17C2212yes—
19C2×Q8×Dic17C2212yes—
20C2×#10587612C2214yes—
21C2×#10587612C2212yes—
22C2×#10587612C2212yes—
23#11762716C2212yes—
24#11762716C2214yes—
25#11762716C2211yescharacteristic
26#11762716C2211yescharacteristic
27#11762712C2211yescharacteristic
28#11762712C2212yes—
29#11762712C2211yescharacteristic
30#11762708C2212yes—
31#11762708C2212yes—
32#11762708C2212yes—
33#11762708C2212yes—
34#11762708C2211yescharacteristic
35#11762708C2214yes—
36#11762708C2211yescharacteristic
37#11762708C2212yes—
38#11762708C2211yescharacteristic
39#11762708C2214yes—
40#11762708C2214yes—
41#11762708C2214yes—
42#11762708C2211yescharacteristic
43#11762702C2214yes—
44#11762702C2214yes—
45#11762702C2212yes—
46#11762702C2214yes—
47#11762702C2214yes—
48#11762702C2212yes—
49#11762702C2214yes—
50#11762695C2214yes—
51#11762695C2214yes—
52#11762695C2214yes—
53#11762695C2212yes—
54#11762695C2214yes—
55#11762695C2212yes—
56#11762679C2211yescharacteristic
57#11762679C2212yes—
58#11762672C2214yes—
59#11762669C2212yes—
60#11762669C2214yes—
61#11762669C2214yes—
62C4⋊C4×Dic17C2212yes—
63C4⋊C4×Dic17C2212yes—
64C4⋊C4×Dic17C2212yes—
65C4⋊C4×Dic17C2212yes—
66C4⋊C4×Dic17C2214yes—
67C4⋊C4×Dic17C2212yes—
68C4×C4⋊Dic17C2211yescharacteristic
69C4×C4⋊Dic17C2211yescharacteristic
70C4×C4⋊Dic17C2212yes—
71C4×C4⋊Dic17C2212yes—
72C4×C22⋊Dic17C2212yes—
73#11762655C2212yes—
74C42×Dic17C2211yescharacteristic
75C17×#554C4116yescomplemented
76C2×C17×C4⋊Q8C2211yescharacteristic
77C2×C17×#125C2212yes—
78C2×C17×C22⋊Q8C2214yes—
79C2×C17×C22⋊Q8C2212yes—
80C2×C4×Q8×C17C2211yescharacteristic
81C2×C4×D4×C17C2212yes—
82C2×C4×D4×C17C2211yescharacteristic
83C22×C4⋊C4×C17C2212yes—
84C22×Q8×C17C2311yescharacteristic
85C22×Q8×C17C2312yes—
86C22×D4×C17C2311yescharacteristic
87C23×C4×C17C2312yes—
88C23×C4×C17C2314yes—
89C17×C4⋊Q8C2×C418yes—
90C17×#125C2×C4116yes—
91C17×C22⋊Q8C2×C4116yes—
92C17×C22⋊Q8C2×C4132yes—
93C4×Q8×C17C2×C418yes—
94C4×D4×C17C2×C4116yes—
95C4×D4×C17C2×C418yes—
96C2×C4⋊C4×C17C2×C4116yes—
97C2×C4⋊C4×C17C2314yes—
98C2×C4⋊C4×C17C2312yes—
99C2×C4⋊C4×C17C2314yes—
100C2×C4⋊C4×C17C2311yescharacteristic
101C2×C4⋊C4×C17C2312yes—
102C2×C4⋊C4×C17C2311yescharacteristic
103C2×C4⋊C4×C17C2312yes—
104C2×C22⋊C4×C17C2314yes—
105C2×C22⋊C4×C17C2312yes—
106C2×C42×C17C2312yes—
107C2×C42×C17C2311yescharacteristic
108C2×C22⋊Dic17C2312yes—
109C2×C22⋊Dic17C2314yes—
110C2×C22⋊Dic17C2312yes—
111C2×C22⋊Dic17C2312yes—
112C2×C22⋊Dic17C2314yes—
113C2×C22⋊Dic17C2312yes—
114Q8×Dic17—44no—
115Q8×Dic17—44no—
116#10587612—48no—
117#10587612—44no—
118#10587612—44no—
119C2×C4⋊Dic17C2312yes—
120C2×C4⋊Dic17C2311yescharacteristic
121C2×C4⋊Dic17C2311yescharacteristic
122C2×C4⋊Dic17C2312yes—
123C2×C4⋊Dic17C2312yes—
124C2×C4⋊Dic17C2311yescharacteristic
125C2×C4⋊Dic17C2311yescharacteristic
126C2×C4⋊Dic17C2312yes—
127C2×C4⋊Dic17C2314yes—
128C2×C4⋊Dic17C2314yes—
129C2×C4⋊Dic17C2312yes—
130C2×C4⋊Dic17C2312yes—
131C2×C4⋊Dic17C2312yes—
132C2×C4⋊Dic17C2314yes—
133C2×C4⋊Dic17C2314yes—
134C2×C4×Dic17C2311yescharacteristic
135C2×C4×Dic17C2314yes—
136C2×C4×Dic17C2311yescharacteristic
137C2×C4×Dic17C2311yescharacteristic
138C2×C4×Dic17C2312yes—
139C2×C4×Dic17C2311yescharacteristic
140C2×C4×Dic17C2312yes—
141C2×C4×Dic17C2311yescharacteristic
142C2×C4×Dic17C2311yescharacteristic
143C2×C4×Dic17C2314yes—
144C2×C4×Dic17C2314yes—
145C2×C4×Dic17C2314yes—
146#10587502C2312yes—
147#10587502C2312yes—
148#10587502C2312yes—
149#10587502C2314yes—
150#10587502C2312yes—
151#10587502C2312yes—
152#10587502C2314yes—
153#10587502C2314yes—
154#10587502C2312yes—
155#10587502C2312yes—
156#10587502C2312yes—
157#10587502C2314yes—
158#10587502C2314yes—
159#10587502C2312yes—
160#10587502C2314yes—
161#10587502C2312yes—
162C24×C17C2412yes—
163C2×Q8×C17—22no—
164C2×Q8×C17—22no—
165C2×Q8×C17—42no—
166C2×Q8×C17—42no—
167C2×Q8×C17C22×C414yes—
168C2×Q8×C17C22×C418yes—
169C2×D4×C17—22no—
170C2×D4×C17—22no—
171C2×D4×C17C22×C414yes—
172C22×C4×C17—24no—
173C22×C4×C17—24no—
174C22×C4×C17—44no—
175C22×C4×C17—44no—
176C22×C4×C17C22×C418yes—
177C22×C4×C17C22×C4116yes—
178C22×C4×C17C2412yes—
179C22×C4×C17C2414yes—
180C22×C4×C17C2412yes—
181C22×C4×C17C2411yescharacteristic
182C22×C4×C17C2412yes—
183C22×C4×C17C2411yescharacteristic
184C22×C4×C17C2411yescharacteristic
185C22×Dic17C2411yescharacteristic
186C22×Dic17C2412yes—
187C22×Dic17C2411yescharacteristic
188C22×Dic17C2412yes—
189C22×Dic17C2412yes—
190C22×Dic17C2412yes—
191C22×Dic17C2411yescharacteristic
192C22×Dic17C2414yes—
193C22×Dic17C2411yescharacteristic
194C4⋊C4×C17C22×C4116yes—
195C4⋊C4×C17C22×C418yes—
196C4⋊C4×C17C22×C4116yes—
197C4⋊C4×C17C22×C418yes—
198C4⋊C4×C17C22×C414yes—
199C4⋊C4×C17C22×C418yes—
200C4⋊C4×C17C22×C414yes—
201C22⋊C4×C17C22×C4116yes—
202C22⋊C4×C17C22×C418yes—
203C42×C17C22×C418yes—
204C42×C17C22×C414yes—
205C22⋊Dic17—24no—
206C22⋊Dic17—42no—
207C22⋊Dic17—42no—
208C22⋊Dic17—44no—
209C22⋊Dic17—44no—
210C22⋊Dic17—42no—
211C4⋊Dic17—22no—
212C4⋊Dic17—24no—
213C4⋊Dic17—22no—
214C4⋊Dic17—24no—
215C4⋊Dic17—22no—
216C4⋊Dic17—22no—
217C4⋊Dic17—24no—
218C4⋊Dic17—44no—
219C4⋊Dic17—42no—
220C4⋊Dic17—44no—
221C4⋊Dic17—42no—
222C4⋊Dic17—42no—
223C4⋊Dic17—42no—
224C4⋊Dic17—44no—
225C4⋊Dic17—44no—
226C4×Dic17—22no—
227C4×Dic17—24no—
228C4×Dic17—22no—
229C4×Dic17—24no—
230C4×Dic17—22no—
231C4×Dic17—22no—
232C4×Dic17—28no—
233C4×Dic17—22no—
234C4×Dic17—41no—
235C4×Dic17—44no—
236C4×Dic17—44no—
237C4×Dic17—44no—
238#34484—171nomaximal, Sylow
239C23×C17—22no—
240C23×C17—22no—
241C23×C17—22no—
242C23×C17—22no—
243C23×C17—22no—
244C23×C17—22no—
245C23×C17C23×C414yes—
246C23×C17C2511yescharacteristic
247Q8×C17—28no—
248Q8×C17—48no—
249D4×C17—28no—
250C2×C4×C17—22no—
251C2×C4×C17—22no—
252C2×C4×C17—24no—
253C2×C4×C17—22no—
254C2×C4×C17—21no—
255C2×C4×C17—22no—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—24no—
259C2×C4×C17—21no—
260C2×C4×C17—216no—
261C2×C4×C17—416no—
262C2×C4×C17C23×C414yes—
263C2×C4×C17C23×C412yes—
264C2×C4×C17C23×C414yes—
265C2×C4×C17C23×C414yes—
266C2×C4×C17C23×C418yes—
267C2×C4×C17C23×C412yes—
268C2×C4×C17C23×C412yes—
269C2×C4×C17H(5,𝔽2)12yes—
270C2×C4×C172−1+412yes—
271C2×C4×C172−1+412yes—
272C2×C4×C172−1+412yes—
273C2×Dic17—21no—
274C2×Dic17—21no—
275C2×Dic17—22no—
276C2×Dic17—21no—
277C2×Dic17—21no—
278C2×Dic17—22no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—24no—
282C2×Dic17—22no—
283C2×Dic17—24no—
284C2×Dic17—21no—
285C2×Dic17—21no—
286C2×Dic17—22no—
287C2×Dic17—21no—
288C2×Dic17—22no—
289C2×Dic17—21no—
290C2×Dic17—21no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—24no—
295C2×Dic17—21no—
296C2×Dic17—22no—
297C2×Dic17—21no—
298C2×Dic17—22no—
299C2×Dic17H(5,𝔽2)12yes—
300C2×#554D1711yescharacteristic
301#2378—174no—
302#2370—172no—
303#2369—171no—
304#2362—172no—
305#2354—171no—
306#2354—172no—
307Q8×C4⋊C4—171no—
308#2344—172no—
309#2330—172no—
310#2323—172no—
311#2323—174no—
312#2319—172no—
313#2316—172no—
314C4×C4⋊Q8—171no—
315#2295—171no—
316#2293—171no—
317C22×C17—24no—
318C22×C17—24no—
319C22×C17—24no—
320C22×C17—42no—
321C22×C17—42no—
322C22×C17—42no—
323C22×C17—42no—
324C22×C17C24×C411yescharacteristic
325C22×C17C2×H(5,𝔽2)11yescharacteristic
326C22×C17C2×H(5,𝔽2)11yescharacteristic
327C22×C17C2×2−1+411yescharacteristic
328C22×C17C2×2−1+411yescharacteristic
329C22×C17C2×2−1+411yescharacteristic
330C22×C17#58511yescharacteristic
331C4×C17—24no—
332C4×C17—24no—
333C4×C17—24no—
334C4×C17—28no—
335C4×C17—22no—
336C4×C17#51914yes—
337C4×C17#52014yes—
338Dic17—22no—
339Dic17—42no—
340Dic17—41no—
341Dic17—42no—
342Dic17—42no—
343Dic17—42no—
344Dic17—41no—
345Dic17—44no—
346Dic17—41no—
347#554Dic17116yescomplemented
348C2×C4⋊Q8C2×D1711yescharacteristic
349C2×#125C2×D1712yes—
350C2×C22⋊Q8C2×D1712yes—
351C2×C22⋊Q8C2×D1714yes—
352C2×C4×Q8—172no—
353C2×C4×Q8—172no—
354C2×C4×Q8C2×D1711yescharacteristic
355C2×C4×D4C2×D1712yes—
356C2×C4×D4C2×D1711yescharacteristic
357C2×#117—172no—
358C2×#117—172no—
359C2×#117—174no—
360C22×C4⋊C4C2×D1712yes—
361#391—172no—
362#391—171no—
363#391—174no—
364#391—171no—
365#390—171no—
366#390—172no—
367#390—171no—
368#389—172no—
369#389—172no—
370#389—171no—
371#389—174no—
372#389—172no—
373#389—172no—
374#389—174no—
375#389—172no—
376#389—174no—
377#389—174no—
378#389—171no—
379#389—171no—
380#389—171no—
381#388—174no—
382#388—174no—
383#388—172no—
384#388—174no—
385#388—174no—
386#388—174no—
387#388—172no—
388#387—172no—
389#387—174no—
390#387—174no—
391#387—174no—
392#387—174no—
393#387—172no—
394#384—171no—
395#384—172no—
396#381—174no—
397#380—174no—
398#380—174no—
399#380—172no—
400C4×C4⋊C4—172no—
401C4×C4⋊C4—172no—
402C4×C4⋊C4—172no—
403C4×C4⋊C4—174no—
404C4×C4⋊C4—172no—
405C4×C4⋊C4—172no—
406C4×C4⋊C4—172no—
407C4×C4⋊C4—171no—
408C4×C4⋊C4—171no—
409C4×C4⋊C4—172no—
410C4×C22⋊C4—172no—
411#376—172no—
412C43—171no—
413C2×C17—44no—
414C2×C17C2×#51911yescharacteristic
415C2×C17C2×#52011yescharacteristic
416C2×C17C4×H(5,𝔽2)11yescharacteristic
417C2×C17#354411yescharacteristic
418C2×C17#354711yescharacteristic
419C2×C17#354811yescharacteristic
420C2×C17#355511yescharacteristic
421C22×Q8C22×D1711yescharacteristic
422C22×Q8C22×D1712yes—
423C22×D4C22×D1711yescharacteristic
424C23×C4C22×D1712yes—
425C23×C4C22×D1714yes—
426C4⋊Q8C2×Dic1718yes—
427#125C2×Dic17116yes—
428C22⋊Q8C2×Dic17132yes—
429C22⋊Q8C2×Dic17116yes—
430C4×Q8—684no—
431C4×Q8—684no—
432C4×Q8C2×Dic1718yes—
433C4×D4C2×Dic17116yes—
434C4×D4C2×Dic1718yes—
435#117—684no—
436#117—688no—
437#117—684no—
438C2×C4⋊C4—172no—
439C2×C4⋊C4—171no—
440C2×C4⋊C4—172no—
441C2×C4⋊C4—171no—
442C2×C4⋊C4—172no—
443C2×C4⋊C4—171no—
444C2×C4⋊C4—171no—
445C2×C4⋊C4—174no—
446C2×C4⋊C4—172no—
447C2×C4⋊C4—172no—
448C2×C4⋊C4—174no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—172no—
451C2×C4⋊C4—172no—
452C2×C4⋊C4—174no—
453C2×C4⋊C4C2×Dic17116yes—
454C2×C4⋊C4C22×D1711yescharacteristic
455C2×C4⋊C4C22×D1714yes—
456C2×C4⋊C4C22×D1712yes—
457C2×C4⋊C4C22×D1711yescharacteristic
458C2×C4⋊C4C22×D1712yes—
459C2×C4⋊C4C22×D1712yes—
460C2×C4⋊C4C22×D1714yes—
461C2×C22⋊C4—172no—
462C2×C22⋊C4—172no—
463C2×C22⋊C4—172no—
464C2×C22⋊C4—174no—
465C2×C22⋊C4—174no—
466C2×C22⋊C4—172no—
467C2×C22⋊C4C22×D1714yes—
468C2×C22⋊C4C22×D1712yes—
469C2×C42—171no—
470C2×C42—172no—
471C2×C42—174no—
472C2×C42—171no—
473C2×C42—171no—
474C2×C42—171no—
475C2×C42—171no—
476C2×C42—172no—
477C2×C42—174no—
478C2×C42—174no—
479C2×C42—174no—
480C2×C42—171no—
481C2×C42C22×D1712yes—
482C2×C42C22×D1711yescharacteristic
483#95—172no—
484#95—172no—
485#95—172no—
486#95—172no—
487#95—172no—
488#95—172no—
489#95—172no—
490#95—174no—
491#95—174no—
492#95—174no—
493#95—174no—
494#95—174no—
495#95—174no—
496#95—172no—
497#95—172no—
498#95—172no—
499C17#3448411yescharacteristic, complemented, Sylow
500C24C23×D1712yes—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—42no—
504C2×Q8—42no—
505C2×Q8C22×Dic1714yes—
506C2×Q8C22×Dic1718yes—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4C22×Dic1714yes—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—171no—
515C22×C4—171no—
516C22×C4—172no—
517C22×C4—172no—
518C22×C4—171no—
519C22×C4—172no—
520C22×C4—174no—
521C22×C4—171no—
522C22×C4—172no—
523C22×C4C22×Dic1718yes—
524C22×C4C22×Dic17116yes—
525C22×C4C23×D1712yes—
526C22×C4C23×D1711yescharacteristic
527C22×C4C23×D1712yes—
528C22×C4C23×D1714yes—
529C22×C4C23×D1712yes—
530C22×C4C23×D1711yescharacteristic
531C22×C4C23×D1711yescharacteristic
532C4⋊C4—344no—
533C4⋊C4—342no—
534C4⋊C4—344no—
535C4⋊C4—342no—
536C4⋊C4—342no—
537C4⋊C4—344no—
538C4⋊C4—342no—
539C4⋊C4—684no—
540C4⋊C4—682no—
541C4⋊C4—682no—
542C4⋊C4—684no—
543C4⋊C4—682no—
544C4⋊C4—684no—
545C4⋊C4—682no—
546C4⋊C4—684no—
547C4⋊C4C22×Dic1714yes—
548C4⋊C4C22×Dic17116yes—
549C4⋊C4C22×Dic1718yes—
550C4⋊C4C22×Dic1714yes—
551C4⋊C4C22×Dic1718yes—
552C4⋊C4C22×Dic1718yes—
553C4⋊C4C22×Dic17116yes—
554C22⋊C4—344no—
555C22⋊C4—682no—
556C22⋊C4—684no—
557C22⋊C4—682no—
558C22⋊C4—682no—
559C22⋊C4—684no—
560C22⋊C4C22×Dic17116yes—
561C22⋊C4C22×Dic1718yes—
562C42—348no—
563C42—342no—
564C42—342no—
565C42—344no—
566C42—342no—
567C42—342no—
568C42—344no—
569C42—342no—
570C42—684no—
571C42—684no—
572C42—684no—
573C42—681no—
574C42C22×Dic1718yes—
575C42C22×Dic1714yes—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23C23×Dic1714yes—
583C23C24×D1711yescharacteristic
584Q8—28no—
585Q8—48no—
586D4—28no—
587C2×C4—24no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—216no—
598C2×C4—416no—
599C2×C4—172no—
600C2×C4—341no—
601C2×C4—341no—
602C2×C4—344no—
603C2×C4—341no—
604C2×C4—342no—
605C2×C4—342no—
606C2×C4—342no—
607C2×C4—341no—
608C2×C4—341no—
609C2×C4—342no—
610C2×C4—342no—
611C2×C4—344no—
612C2×C4—341no—
613C2×C4—342no—
614C2×C4—342no—
615C2×C4—341no—
616C2×C4—342no—
617C2×C4—341no—
618C2×C4—341no—
619C2×C4—342no—
620C2×C4—344no—
621C2×C4—342no—
622C2×C4—341no—
623C2×C4—341no—
624C2×C4—342no—
625C2×C4—342no—
626C2×C4#1058769412yes—
627C2×C4#1058769412yes—
628C2×C4#1058769612yes—
629C2×C4#1058769712yes—
630C2×C4C23×Dic1714yes—
631C2×C4C23×Dic1712yes—
632C2×C4C23×Dic1714yes—
633C2×C4C23×Dic1714yes—
634C2×C4C23×Dic1718yes—
635C2×C4C23×Dic1712yes—
636C2×C4C23×Dic1712yes—
637C22—24no—
638C22—24no—
639C22—24no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22C24×Dic1711yescharacteristic
645C22H(5,𝔽2)×D1711yescharacteristic
646C22C2×#1058769611yescharacteristic
647C22C2×#1058769711yescharacteristic
648C22C2×#1058769411yescharacteristic
649C22C2×#1058769411yescharacteristic
650C22#1176364411yescharacteristic
651C4—24no—
652C4—24no—
653C4—24no—
654C4—28no—
655C4—22no—
656C4—342no—
657C4—682no—
658C4—682no—
659C4—681no—
660C4—682no—
661C4—684no—
662C4—681no—
663C4—682no—
664C4—681no—
665C4#1176328714yes—
666C4#1176329214yes—
667C2—44no—
668C2C2×#1176328711yescharacteristic
669C2C2×#1176329211yescharacteristic
670C2H(5,𝔽2)×Dic1711yescharacteristic
671C2#1454312511yescharacteristic
672C2#1454317411yescharacteristic
673C2#1454318311yescharacteristic
674C2#1454327511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC2×C17×#554C2
socle, cosocleC23×C17C25
prime radicalC22×D4×C17C23
hypercenterC2×#554D17
hypocenterC17#34484
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. #14531950C2semidirect
2. #14531884C2semidirect
3. #14531874C2semidirect
4. #14531815C2semidirect
7. Q8×C4⋊Dic17C2semidirect
8. #14531653C2semidirect
9. #14531526C2semidirect
10. #14531468C2semidirect
11. #14531468C2semidirect
13. #14531402C2semidirect
14. C4⋊Q8×Dic17C2semidirect
15. #14531262C2semidirect
75. C17×#554C4semidirect
347. #554Dic17semidirect
499. C17#34484semidirect

Maximal subgroups

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

subgroupindex
#145319502
#145318842
#145318742
#145318152
#145317332
Q8×C4⋊Dic172
#145316532
#145315262
#145314682
#145314272
#145314022
C4⋊Q8×Dic172
#145312622
#145312492
C2×C17×#5542
#3448417