Finite Group Databasebeta

← #16958024

Subgroups — #16958024

Order 4352.

2366 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4⋊Dic17C211yesmaximal, characteristic
2C2×#11762706C212yesmaximal, complemented
3C2×#11762682C211yesmaximal, characteristic
4C2×#11762681C211yesmaximal, characteristic
5C2×#11762681C211yesmaximal, characteristic
6C2×C22⋊C4×Dic17C211yesmaximal, characteristic
7#14527048C212yesmaximal, complemented
8#14527038C212yesmaximal, complemented
9#14527018C212yesmaximal, complemented
10#14527006C211yesmaximal, characteristic
11C17×C22⋊#95C211yesmaximal, characteristic
12C24×Dic17C2211yescharacteristic
13C24×Dic17C2211yescharacteristic
14C22×C4⋊Dic17—28no—
15C22×C4⋊Dic17—24no—
16C22×C4⋊Dic17C2212yes—
17C22×C4⋊Dic17C2212yes—
18C22×#63225C2211yescharacteristic
19C22×#63225C2212yes—
20C22×#63225C2212yes—
21C22×#63225C2211yescharacteristic
22C22×C22⋊Dic17C2211yescharacteristic
23C22×C22⋊Dic17C2211yescharacteristic
24C22×C4×Dic17C2212yes—
25#11762706—28no—
26#11762682C418yescomplemented
27#11762681—24no—
28#11762681—24no—
29C22⋊C4×Dic17—24no—
30C2×#10587502C2212yes—
31C2×#10587502C2211yescharacteristic
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2211yescharacteristic
35C2×#10587502C2212yes—
36C2×#10587502C2212yes—
37C24×C4×C17C2211yescharacteristic
38C22×C22⋊C4×C17C2211yescharacteristic
39C22×C22⋊C4×C17C2211yescharacteristic
40C2×C17×#95C2212yes—
41C2×C17×#95C2212yes—
42C25×C17C2311yescharacteristic
43C23×C4×C17—22no—
44C23×C4×C17—22no—
45C23×C4×C17—24no—
46C23×C4×C17—24no—
47C23×C4×C17C2×C414yes—
48C23×C4×C17C2311yescharacteristic
49C23×C4×C17C2311yescharacteristic
50C23×C4×C17C2312yes—
51C23×C4×C17C2312yes—
52C23×Dic17—22no—
53C23×Dic17—22no—
54C23×Dic17—22no—
55C23×Dic17—24no—
56C23×Dic17—24no—
57C23×Dic17—22no—
58C23×Dic17—22no—
59C23×Dic17—42no—
60C23×Dic17—42no—
61C23×Dic17D414yes—
62C23×Dic17C2311yescharacteristic
63C23×Dic17C2311yescharacteristic
64C23×Dic17C2311yescharacteristic
65C23×Dic17C2312yes—
66C23×Dic17C2312yes—
67C23×Dic17C2311yescharacteristic
68C2×C22⋊C4×C17—22no—
69C2×C22⋊C4×C17—22no—
70C2×C22⋊C4×C17—22no—
71C2×C22⋊C4×C17—22no—
72C2×C22⋊C4×C17—22no—
73C2×C22⋊C4×C17Q814yes—
74C2×C22⋊Dic17—22no—
75C2×C22⋊Dic17—22no—
76C2×C22⋊Dic17C2×C414yes—
77C2×C22⋊Dic17C2×C414yes—
78C2×C22⋊Dic17D414yes—
79C2×C22⋊Dic17Q814yes—
80C2×C4⋊Dic17—232no—
81C2×C4⋊Dic17—24no—
82C2×C4⋊Dic17—24no—
83C2×C4⋊Dic17—24no—
84C2×C4⋊Dic17—24no—
85C2×C4⋊Dic17—24no—
86C2×C4⋊Dic17D418yes—
87C2×#63225—24no—
88C2×#63225—24no—
89C2×#63225—24no—
90C2×#63225—24no—
91C2×#63225—24no—
92C2×#63225—22no—
93C2×#63225—22no—
94C2×#63225—42no—
95C2×#63225—42no—
96C2×#63225C2×C418yescomplemented
97C2×C4×Dic17—24no—
98C2×C4×Dic17—24no—
99C2×C4×Dic17—42no—
100C17×#95—24no—
101C17×#95—24no—
102#10587502—24no—
103#10587502—24no—
104#10587502—24no—
105#10587502—22no—
106#10587502—22no—
107#10587502—42no—
108#10587502C2×C418yescomplemented
109C24×C17—22no—
110C24×C17—22no—
111C24×C17—22no—
112C24×C17—22no—
113C24×C17C22×C412yes—
114C24×C17C2×D412yes—
115C24×C17C2×D412yes—
116C24×C17C2×Q812yes—
117C24×C17C2×Q812yes—
118C24×C17#4112yes—
119C24×C17#4112yes—
120C24×C17C2411yescharacteristic
121C22×C4×C17—216no—
122C22×C4×C17—28no—
123C22×C4×C17—28no—
124C22×C4×C17—28no—
125C22×C4×C17—22no—
126C22×C4×C17—22no—
127C22×C4×C17—22no—
128C22×C4×C17—22no—
129C22×C4×C17—216no—
130C22×C4×C17—22no—
131C22×C4×C17—22no—
132C22×C4×C17—22no—
133C22×C4×C17—22no—
134C22×C4×C17—22no—
135C22×C4×C17—22no—
136C22×C4×C17—21no—
137C22×C4×C17—21no—
138C22×C4×C17—22no—
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—22no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—22no—
145C22×C4×C17—22no—
146C22×C4×C17C22×C414yes—
147C22×C4×C17C2×D414yes—
148C22×C4×C17C2×Q814yes—
149C22×C4×C17#4114yes—
150C22×Dic17—21no—
151C22×Dic17—22no—
152C22×Dic17—21no—
153C22×Dic17—22no—
154C22×Dic17—22no—
155C22×Dic17—22no—
156C22×Dic17—22no—
157C22×Dic17—28no—
158C22×Dic17—28no—
159C22×Dic17—21no—
160C22×Dic17—22no—
161C22×Dic17—22no—
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—22no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C22×Dic17—22no—
169C22×Dic17—22no—
170C22×Dic17—21no—
171C22×Dic17—21no—
172C22×Dic17—22no—
173C22×Dic17—22no—
174C22×Dic17—22no—
175C22×Dic17—22no—
176C22×Dic17—22no—
177C22×Dic17—28no—
178C22×Dic17—44no—
179C22×Dic17—48no—
180C22×Dic17—48no—
181C22×Dic17—48no—
182C22×Dic17—48no—
183C22×Dic17—44no—
184C22×Dic17—44no—
185C22×Dic17C22×C412yes—
186C22×Dic17C22×C412yes—
187C22×Dic17C22×C414yes—
188C22×Dic17C2×D414yes—
189C22×Dic17C2×D412yes—
190C22×Dic17C2×D414yes—
191C22×Dic17C2×D414yes—
192C22×Dic17C2×D412yes—
193C22×Dic17C2×Q814yes—
194C22⋊C4×C17—28no—
195C22⋊C4×C17—44no—
196C22⋊Dic17—28no—
197C22⋊Dic17C4⋊C4116yescomplemented
198C4⋊Dic17—216no—
199C4⋊Dic17—216no—
200#63225—216no—
201#63225—48no—
202#63225—44no—
203#63225—44no—
204C4×Dic17—48no—
205#14043—171nomaximal, Sylow
206C23×C17—24no—
207C23×C17—24no—
208C23×C17—22no—
209C23×C17—22no—
210C23×C17—24no—
211C23×C17—22no—
212C23×C17—22no—
213C23×C17—24no—
214C23×C17—24no—
215C23×C17—24no—
216C23×C17—24no—
217C23×C17—24no—
218C23×C17—24no—
219C23×C17—24no—
220C23×C17—24no—
221C23×C17—24no—
222C23×C17C2×C4⋊C414yes—
223C23×C17C4×D414yes—
224C23×C17C4×Q814yes—
225C23×C17#12114yes—
226C23×C17C22⋊Q814yes—
227C23×C17#12514yes—
228C23×C17C4⋊Q814yes—
229C23×C17C23×C411yescharacteristic
230C23×C17C22×D411yescharacteristic
231C23×C17C22×D411yescharacteristic
232C23×C17C22×D412yes—
233C23×C17C22×Q811yescharacteristic
234C23×C17C22×Q811yescharacteristic
235C23×C17C2×#4111yescharacteristic
236C23×C17C2×#4111yescharacteristic
237C23×C17C2×#4112yes—
238C23×C17H(5,𝔽2)12yes—
239C23×C172−1+412yes—
240C2×C4×C17—232no—
241C2×C4×C17—24no—
242C2×C4×C17—24no—
243C2×C4×C17—24no—
244C2×C4×C17—24no—
245C2×C4×C17—24no—
246C2×C4×C17—24no—
247C2×C4×C17—24no—
248C2×C4×C17—24no—
249C2×C4×C17—24no—
250C2×C4×C17—42no—
251C2×C4×C17—42no—
252C2×C4×C17—42no—
253C2×C4×C17—42no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—41no—
260C2×C4×C17—42no—
261C2×C4×C17—42no—
262C2×C4×C17—42no—
263C2×C4×C17—42no—
264C2×C4×C17C4×D418yes—
265C2×Dic17—24no—
266C2×Dic17—24no—
267C2×Dic17—22no—
268C2×Dic17—22no—
269C2×Dic17—24no—
270C2×Dic17—24no—
271C2×Dic17—24no—
272C2×Dic17—24no—
273C2×Dic17—24no—
274C2×Dic17—24no—
275C2×Dic17—22no—
276C2×Dic17—22no—
277C2×Dic17—24no—
278C2×Dic17—24no—
279C2×Dic17—24no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—24no—
284C2×Dic17—24no—
285C2×Dic17—416no—
286C2×Dic17—416no—
287C2×Dic17—41no—
288C2×Dic17—42no—
289C2×Dic17—41no—
290C2×Dic17—42no—
291C2×Dic17—42no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—42no—
295C2×Dic17—42no—
296C2×Dic17—42no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17C2×C4⋊C418yescomplemented
300C2×Dic17#12014yes—
301C23×C4⋊C4—171no—
302C2×#389—172no—
303C2×#385—171no—
304C2×#385—171no—
305C2×#385—171no—
306C2×C4×C22⋊C4—171no—
307#1444—172no—
308#1441—172no—
309#1436—172no—
310C22⋊#95—171no—
311C22⋊#95D1711yescharacteristic
312C22×C17—24no—
313C22×C17—24no—
314C22×C17—28no—
315C22×C17—28no—
316C22×C17—24no—
317C22×C17—24no—
318C22×C17—24no—
319C22×C17—28no—
320C22×C17—28no—
321C22×C17—24no—
322C22×C17#38918yescomplemented
323C22×C17C22×C4⋊C411yescharacteristic
324C22×C17C2×C4×D411yescharacteristic
325C22×C17C2×C4×D412yes—
326C22×C17C2×C4×Q811yescharacteristic
327C22×C17#52012yes—
328C22×C17C2×#12011yescharacteristic
329C22×C17C2×#12111yescharacteristic
330C22×C17C2×C22⋊Q811yescharacteristic
331C22×C17#52511yescharacteristic
332C22×C17#52512yes—
333C22×C17C2×#12511yescharacteristic
334C22×C17C2×C4⋊Q811yescharacteristic
335C22×C17#53411yescharacteristic
336C22×C17#53611yescharacteristic
337C22×C17#53912yes—
338C22×C17D4212yes—
339C22×C17#54612yes—
340C22×C17#54712yes—
341C22×C17D4×Q812yes—
342C22×C17D4×Q812yes—
343C22×C17#55212yes—
344C22×C17#55412yes—
345C22×C17#55412yes—
346C4×C17—28no—
347C4×C17—44no—
348C4×C17—81no—
349C4×C17—81no—
350Dic17—28no—
351Dic17—24no—
352Dic17—42no—
353Dic17—42no—
354Dic17—44no—
355Dic17—42no—
356C24×C4—171no—
357C24×C4—171no—
358C24×C4C2×D1711yescharacteristic
359C22×C4⋊C4—172no—
360C22×C4⋊C4—172no—
361C22×C4⋊C4—171no—
362C22×C4⋊C4—172no—
363C22×C4⋊C4—172no—
364C22×C4⋊C4—171no—
365C22×C4⋊C4—348no—
366C22×C4⋊C4—344no—
367C22×C22⋊C4—171no—
368C22×C22⋊C4—171no—
369C22×C22⋊C4C2×D1711yescharacteristic
370C22×C22⋊C4C2×D1711yescharacteristic
371C22×C42—172no—
372#389—348no—
373#385—178no—
374#385—344no—
375#385—344no—
376C4×C22⋊C4—344no—
377C2×#95—172no—
378C2×#95—172no—
379C2×#95—171no—
380C2×#95—172no—
381C2×#95—171no—
382C2×#95—172no—
383C2×#95—172no—
384C2×#95C2×D1712yes—
385C2×#95C2×D1712yes—
386C2×C17—28no—
387C2×C17C2×#38911yescharacteristic
388C2×C17C4×#12011yescharacteristic
389C2×C17#232211yescharacteristic
390C2×C17D4×C4⋊C412yes—
391C2×C17#236012yes—
392C2×C17#241011yescharacteristic
393C2×C17#241311yescharacteristic
394C2×C17#243411yescharacteristic
395C2×C17#244912yes—
396C2×C17#247312yes—
397C2×C17#258311yescharacteristic
398C25C22×D1711yescharacteristic
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—24no—
402C23×C4—24no—
403C23×C4—172no—
404C23×C4—171no—
405C23×C4—171no—
406C23×C4—171no—
407C23×C4—172no—
408C23×C4—171no—
409C23×C4—174no—
410C23×C4—344no—
411C23×C4—344no—
412C23×C4—342no—
413C23×C4—342no—
414C23×C4—342no—
415C23×C4—342no—
416C23×C4—342no—
417C23×C4—682no—
418C23×C4—682no—
419C23×C4C4×D1714yes—
420C23×C4C22×D1711yescharacteristic
421C23×C4C22×D1711yescharacteristic
422C23×C4C22×D1712yes—
423C23×C4C22×D1712yes—
424C2×C4⋊C4—178no—
425C2×C4⋊C4—178no—
426C2×C4⋊C4—344no—
427C2×C4⋊C4—344no—
428C2×C4⋊C4—344no—
429C2×C4⋊C4—344no—
430C2×C4⋊C4—3432no—
431C2×C4⋊C4—344no—
432C2×C4⋊C4—344no—
433C2×C4⋊C4—344no—
434C2×C4⋊C4—342no—
435C2×C4⋊C4—344no—
436C2×C4⋊C4—342no—
437C2×C4⋊C4—344no—
438C2×C4⋊C4—344no—
439C2×C4⋊C4—682no—
440C2×C4⋊C4—682no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—174no—
447C2×C22⋊C4—174no—
448C2×C22⋊C4—174no—
449C2×C22⋊C4—174no—
450C2×C22⋊C4—342no—
451C2×C22⋊C4—342no—
452C2×C22⋊C4Dic3414yes—
453C2×C42—344no—
454C2×C42—344no—
455C2×C42—682no—
456#95—24no—
457#95—24no—
458#95—178no—
459#95—344no—
460#95—344no—
461#95—342no—
462#95—342no—
463#95—344no—
464#95—682no—
465C17#1404311yescharacteristic, complemented, Sylow
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24C2×Dic3412yes—
471C24C2×C4×D1712yes—
472C24#6325212yes—
473C24D4×D1712yes—
474C24D4×D1712yes—
475C24#6325412yes—
476C24Q8×D1712yes—
477C24C23×D1711yescharacteristic
478C22×C4—28no—
479C22×C4—216no—
480C22×C4—28no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—28no—
486C22×C4—216no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—174no—
504C22×C4—174no—
505C22×C4—172no—
506C22×C4—174no—
507C22×C4—174no—
508C22×C4—172no—
509C22×C4—172no—
510C22×C4—174no—
511C22×C4—172no—
512C22×C4—348no—
513C22×C4—341no—
514C22×C4—341no—
515C22×C4—342no—
516C22×C4—342no—
517C22×C4—342no—
518C22×C4—342no—
519C22×C4—342no—
520C22×C4—348no—
521C22×C4—341no—
522C22×C4—342no—
523C22×C4—341no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—342no—
527C22×C4—342no—
528C22×C4—342no—
529C22×C4—342no—
530C22×C4—342no—
531C22×C4—341no—
532C22×C4—341no—
533C22×C4—342no—
534C22×C4—342no—
535C22×C4—342no—
536C22×C4—342no—
537C22×C4—342no—
538C22×C4—342no—
539C22×C4—348no—
540C22×C4—684no—
541C22×C4—688no—
542C22×C4—688no—
543C22×C4—688no—
544C22×C4—688no—
545C22×C4—684no—
546C22×C4—684no—
547C22×C4C2×Dic3414yes—
548C22×C4C2×C4×D1714yes—
549C22×C4D4×D1714yes—
550C22×C4#6325414yes—
551C4⋊C4—3416no—
552C4⋊C4—3416no—
553C4⋊C4—3416no—
554C4⋊C4—684no—
555C4⋊C4—688no—
556C4⋊C4—684no—
557C22⋊C4—28no—
558C22⋊C4—44no—
559C22⋊C4—1716no—
560C22⋊C4—348no—
561C42—688no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23C4×Dic3414yes—
579C23#1058756414yes—
580C23#1058756714yes—
581C23#1058757014yes—
582C23#1058757414yes—
583C23#1058757514yes—
584C23C4⋊C4×D1714yes—
585C23C22×Dic3411yescharacteristic
586C23C22×C4×D1711yescharacteristic
587C23C2×#6325211yescharacteristic
588C23C2×D4×D1711yescharacteristic
589C23C2×D4×D1712yes—
590C23C2×D4×D1711yescharacteristic
591C23C2×#6325412yes—
592C23C2×#6325411yescharacteristic
593C23C2×Q8×D1711yescharacteristic
594C23#1058769612yes—
595C23#1058769712yes—
596C2×C4—232no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—178no—
621C2×C4—174no—
622C2×C4—344no—
623C2×C4—344no—
624C2×C4—344no—
625C2×C4—344no—
626C2×C4—344no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—344no—
630C2×C4—344no—
631C2×C4—344no—
632C2×C4—342no—
633C2×C4—342no—
634C2×C4—344no—
635C2×C4—344no—
636C2×C4—344no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—344no—
641C2×C4—344no—
642C2×C4—6816no—
643C2×C4—6816no—
644C2×C4—681no—
645C2×C4—682no—
646C2×C4—681no—
647C2×C4—682no—
648C2×C4—681no—
649C2×C4—682no—
650C2×C4—681no—
651C2×C4—682no—
652C2×C4—682no—
653C2×C4—682no—
654C2×C4—682no—
655C2×C4—682no—
656C2×C4#1058756718yes—
657C22—24no—
658C22—28no—
659C22—24no—
660C22—24no—
661C22—28no—
662C22—24no—
663C22—24no—
664C22—28no—
665C22—24no—
666C22—28no—
667C22#1176270618yescomplemented
668C22C2×C4⋊C4×D1711yescharacteristic
669C22C2×#1058756712yes—
670C22C2×#1058756711yescharacteristic
671C22C2×C4×Dic3411yescharacteristic
672C22#1176328912yes—
673C22#120×D1711yescharacteristic
674C22C2×#1058757011yescharacteristic
675C22C2×#1058756411yescharacteristic
676C22#1176331511yescharacteristic
677C22#1176331512yes—
678C22C2×#1058757511yescharacteristic
679C22C2×#1058757411yescharacteristic
680C22#1176337011yescharacteristic
681C22#1176338111yescharacteristic
682C22#1176340312yes—
683C22#1176344312yes—
684C22#1176345512yes—
685C22#1176345912yes—
686C22#1176347212yes—
687C22D4×Dic3412yes—
688C22#1176349912yes—
689C22#1176351612yes—
690C22#1176351712yes—
691C4—28no—
692C4—44no—
693C4—81no—
694C4—81no—
695C4—344no—
696C4—348no—
697C4—682no—
698C4—684no—
699C4—682no—
700C4—682no—
701C2—28no—
702C2C2×#1176270611yescharacteristic
703C2#1453128311yescharacteristic
704C2#1453145011yescharacteristic
705C2#1453168012yes—
706C2#1453178712yes—
707C2#1453216111yescharacteristic
708C2#1453219411yescharacteristic
709C2#1453242611yescharacteristic
710C2#1453259912yes—
711C2#1453292212yes—
712C2#1453416111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC17×C22⋊#95C2
socle, cosocleC24×C17C24
prime radicalC25×C17C23
hypercenterC22⋊#95D17
hypocenterC17#14043
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#11762706C2semidirect
7. #14527048C2semidirect
8. #14527038C2semidirect
9. #14527018C2semidirect
26. #11762682C4semidirect
96. C2×#63225C2×C4semidirect
108. #10587502C2×C4semidirect
197. C22⋊Dic17C4⋊C4semidirect
299. C2×Dic17C2×C4⋊C4semidirect
322. C22×C17#389semidirect
465. C17#14043semidirect
667. C22#11762706semidirect

Maximal subgroups

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

subgroupindex
C23×C4⋊Dic172
C2×#117627062
C2×#117626822
C2×#117626812
C2×C22⋊C4×Dic172
#145270482
#145270382
#145270182
#145270062
C17×C22⋊#952
#1404317