Finite Group Databasebeta

← C2×#20246837 #26384233

Subgroups — C2×#20246837 #26384233

Order 12032.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094004C211yesmaximal, characteristic, complemented
2C22×#13094004C211yesmaximal, characteristic, complemented
3C22×C4×D188C211yesmaximal, characteristic
4C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
5#20246837C2116yesmaximal, direct product factor
6C2×#15689055C212yesmaximal, complemented
7C2×#15689045C212yesmaximal, complemented
8C2×#15689029C211yesmaximal, characteristic, complemented
9C2×#15689001C212yesmaximal
10C2×#15688980C212yesmaximal, complemented
11C2×#15688980C211yesmaximal, characteristic, complemented
12C2×C47×#389C211yesmaximal, characteristic, complemented
13C23×Dic94C2211yescharacteristic
14C23×D188C2211yescharacteristic
15C23×C4×D47C2211yescharacteristic
16C23×C4×D47C2212yes—
17C23×C4×D47C2211yescharacteristic
18C2×#13094004—28no—
19C2×#13094004—28no—
20C2×#13094004C2218yescomplemented
21C2×#13094004C2218yescomplemented
22C2×C4×D188—28no—
23C2×C4×D188C2218yes—
24C22×C4⋊Dic47C2211yescharacteristic
25C22×C4⋊Dic47C2211yescharacteristic
26C22×C4⋊Dic47C2212yes—
27C22×C4⋊Dic47C2212yes—
28C22×Dic47⋊C4C2212yes—
29C2×C4⋊C4×D47—28no—
30C2×C4⋊C4×D47C2218yescomplemented
31C22×(C2×D47)⋊C4C2212yes—
32C22×(C2×D47)⋊C4C2212yes—
33C22×(C2×D47)⋊C4C2211yescharacteristic
34C22×(C2×D47)⋊C4C2211yescharacteristic
35C22×(C2×D47)⋊C4C2212yes—
36#15689055C22116yescomplemented
37#15689045C22116yescomplemented
38#15689029C2218yescomplemented
39#15689001C22116yes—
40#15688980C2218yescomplemented
41#15688980C22116yescomplemented
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2212yes—
44C2×C47⋊#95C2212yes—
45C22×C4⋊C4×C47C2211yescharacteristic
46C22×C4⋊C4×C47C2212yes—
47C22×C4⋊C4×C47C2211yescharacteristic
48C22×C42×C47C2211yescharacteristic
49C47×#389C2218yescomplemented
50C2×#95×C47C2212yes—
51C24×D47C2311yescharacteristic
52C24×D47C2311yescharacteristic
53C22×Dic94—24no—
54C22×Dic94—24no—
55C22×Dic94—24no—
56C22×Dic94C2314yes—
57C22×D188—24no—
58C22×D188—24no—
59C22×D188Q818yescomplemented
60C22×D188C2314yes—
61C23×Dic47C2312yes—
62C23×Dic47C2312yes—
63C23×Dic47C2311yescharacteristic
64C23×Dic47C2311yescharacteristic
65C22×C4×D47—24no—
66C22×C4×D47—24no—
67C22×C4×D47—28no—
68C22×C4×D47—28no—
69C22×C4×D47—24no—
70C22×C4×D47—24no—
71C22×C4×D47—24no—
72C22×C4×D47—44no—
73C22×C4×D47D418yes—
74C22×C4×D47C2314yes—
75C22×C4×D47C2318yes—
76C22×C4×D47C2314yes—
77#13094004—232no—
78#13094004—232no—
79C4×D188—232no—
80C2×C4⋊Dic47—24no—
81C2×C4⋊Dic47—28no—
82C2×C4⋊Dic47—24no—
83C2×C4⋊Dic47—28no—
84C2×C4⋊Dic47C2314yes—
85C2×C4⋊Dic47C2318yes—
86C2×C4⋊Dic47C2318yes—
87C2×C4⋊Dic47C2314yes—
88C2×Dic47⋊C4—28no—
89C2×Dic47⋊C4C2318yes—
90C4⋊C4×D47—232no—
91C2×(C2×D47)⋊C4—24no—
92C2×(C2×D47)⋊C4—28no—
93C2×(C2×D47)⋊C4—28no—
94C2×(C2×D47)⋊C4—24no—
95C2×(C2×D47)⋊C4—44no—
96C2×(C2×D47)⋊C4C2314yes—
97C2×(C2×D47)⋊C4C2318yes—
98C2×(C2×D47)⋊C4C2318yes—
99C2×(C2×D47)⋊C4C2314yes—
100C2×(C2×D47)⋊C4C2318yes—
101C47⋊#95C2318yes—
102C47⋊#95C2318yes—
103C47⋊#95C2318yes—
104C23×C4×C47C2311yescharacteristic
105C23×C4×C47C2312yes—
106C23×C4×C47C2312yes—
107C23×C4×C47C2311yescharacteristic
108C23×C4×C47C2311yescharacteristic
109C2×C4⋊C4×C47—24no—
110C2×C4⋊C4×C47—44no—
111C2×C4⋊C4×C47D418yescomplemented
112C2×C4⋊C4×C47C2314yes—
113C2×C4⋊C4×C47C2318yes—
114C2×C4⋊C4×C47C2314yes—
115C2×C42×C47—24no—
116C2×C42×C47C2314yes—
117#95×C47C2318yes—
118C24×C47C2411yescharacteristic
119C23×D47—22no—
120C23×D47—22no—
121C23×D47—22no—
122C23×D47—22no—
123C23×D47—22no—
124C23×D47—22no—
125C23×D47—22no—
126C23×D47—22no—
127C23×D47—22no—
128C23×D47—22no—
129C23×D47C2×D414yes—
130C23×D47C2×Q814yes—
131C23×D47C2×Q814yes—
132C23×D47#4114yes—
133C23×D47C2412yes—
134C23×D47C2412yes—
135C22×C4×C47—22no—
136C22×C4×C47—24no—
137C22×C4×C47—22no—
138C22×C4×C47—24no—
139C22×C4×C47—22no—
140C22×C4×C47—24no—
141C22×C4×C47—22no—
142C22×C4×C47—24no—
143C22×C4×C47—22no—
144C22×C4×C47—24no—
145C22×C4×C47C2×D418yes—
146C22×C4×C47C2×D414yes—
147C22×C4×C47C2×D414yes—
148C22×C4×C47C2×Q814yes—
149C22×C4×C47#4114yes—
150C22×C4×C47C2412yes—
151C22×C4×C47C2414yes—
152C22×C4×C47C2414yes—
153C22×C4×C47C2412yes—
154C22×C4×C47C2412yes—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—24no—
159C22×Dic47—24no—
160C22×Dic47—24no—
161C22×Dic47—22no—
162C22×Dic47—22no—
163C22×Dic47—24no—
164C22×Dic47—24no—
165C22×Dic47—24no—
166C22×Dic47C2×D414yes—
167C22×Dic47C2414yes—
168C22×Dic47C2414yes—
169C22×Dic47C2412yes—
170C22×Dic47C2412yes—
171C2×D188—232no—
172C2×D188—28no—
173C2×D188—28no—
174C2×D188C2×Q8116yescomplemented
175C2×C4×D47—232no—
176C2×C4×D47—28no—
177C2×C4×D47—28no—
178C2×C4×D47—216no—
179C2×C4×D47—216no—
180C2×C4×D47—28no—
181C2×C4×D47—28no—
182C2×C4×D47—28no—
183C2×C4×D47—48no—
184C2×C4×D47—432no—
185C2×C4×D47—416no—
186C2×C4×D47C2×D4116yes—
187C2×Dic94—28no—
188C2×Dic94—28no—
189C2×Dic94—28no—
190C2×Dic94—416no—
191C4⋊C4×C47—28no—
192C4⋊C4×C47—48no—
193C4⋊C4×C47C2×D4116yescomplemented
194C42×C47—28no—
195(C2×D47)⋊C4—28no—
196(C2×D47)⋊C4—216no—
197(C2×D47)⋊C4—216no—
198(C2×D47)⋊C4—28no—
199(C2×D47)⋊C4—48no—
200C4⋊Dic47—28no—
201C4⋊Dic47—216no—
202C4⋊Dic47—28no—
203C4⋊Dic47—216no—
204Dic47⋊C4—216no—
205C23×C47C22×D412yes—
206C23×C47C22×D412yes—
207C23×C47C22×Q812yes—
208C23×C47C2×#4112yes—
209C23×C47C2×#4112yes—
210C23×C47H(5,𝔽2)12yes—
211C23×C472−1+412yes—
212C23×C47C2511yescharacteristic
213C22×D47—28no—
214C22×D47—28no—
215C22×D47—28no—
216C22×D47—28no—
217C22×D47—28no—
218C22×D47—28no—
219C22×D47—22no—
220C22×D47—22no—
221C22×D47—22no—
222C22×D47—22no—
223C22×D47—28no—
224C22×D47—28no—
225C22×D47—28no—
226C22×D47—22no—
227C22×D47—22no—
228C22×D47—22no—
229C22×D47—22no—
230C22×D47—22no—
231C22×D47—22no—
232C22×D47—44no—
233C22×D47—44no—
234C22×D47—44no—
235C22×D47—44no—
236C22×D47C22⋊Q8116yescomplemented
237C22×D47C22×D414yes—
238C22×D47C22×Q814yes—
239C22×D47C22×Q814yes—
240C22×D47C2×#4114yes—
241C2×C4×C47—28no—
242C2×C4×C47—216no—
243C2×C4×C47—22no—
244C2×C4×C47—24no—
245C2×C4×C47—22no—
246C2×C4×C47—24no—
247C2×C4×C47—24no—
248C2×C4×C47—22no—
249C2×C4×C47—24no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—24no—
253C2×C4×C47—44no—
254C2×C4×C47—48no—
255C2×C4×C47#121116yes—
256C2×C4×C47C22×D414yes—
257C2×C4×C47C22×D418yes—
258C2×C4×C47C22×D414yes—
259C2×C4×C47C22×Q814yes—
260C2×C4×C47C2×#4114yes—
261C2×Dic47—28no—
262C2×Dic47—22no—
263C2×Dic47—22no—
264C2×Dic47—24no—
265C2×Dic47—22no—
266C2×Dic47—24no—
267C2×Dic47—24no—
268C2×Dic47—22no—
269C2×Dic47—24no—
270C2×Dic47—24no—
271C2×Dic47—22no—
272C2×Dic47—24no—
273C2×Dic47—48no—
274C2×Dic47—44no—
275C2×Dic47—48no—
276C2×Dic47C22×D414yes—
277D188—232no—
278C4×D47—232no—
279C4×D47—432no—
280C4×D47—416no—
281Dic94—416no—
282C2×#2417—471nomaximal, Sylow
283C22×C47C2×#12114yes—
284C22×C47C2×C22⋊Q814yes—
285C22×C47#53714yes—
286C22×C47#54614yes—
287C22×C47D4×Q814yes—
288C22×C47#55214yes—
289C22×C47#55414yes—
290C22×C47C23×D411yescharacteristic
291C22×C47C23×D411yescharacteristic
292C22×C47C23×Q811yescharacteristic
293C22×C47C22×#4111yescharacteristic
294C22×C47C22×#4111yescharacteristic
295C22×C47C2×H(5,𝔽2)11yescharacteristic
296C22×C47C2×2−1+411yescharacteristic
297C2×D47—24no—
298C2×D47—232no—
299C2×D47—24no—
300C2×D47—24no—
301C2×D47—24no—
302C2×D47—24no—
303C2×D47—24no—
304C2×D47—24no—
305C2×D47—24no—
306C2×D47—24no—
307C2×D47—42no—
308C2×D47—416no—
309C2×D47—42no—
310C2×D47—42no—
311C2×D47—42no—
312C2×D47C2×C22⋊Q818yescomplemented
313C4×C47—24no—
314C4×C47—28no—
315C4×C47—44no—
316C4×C47—42no—
317C4×C47C2×#12118yes—
318Dic47—24no—
319Dic47—44no—
320Dic47—42no—
321Dic47—44no—
322C22×C22⋊Q8—471no—
323C22×C22⋊Q8—471no—
324C22×C4×D4—471no—
325C23×C4⋊C4—471no—
326#2417—4716no—
327C2×#398—472no—
328C2×#396—472no—
329C2×#391—471no—
330C2×#389D4711yescharacteristic, complemented
331C2×#386—472no—
332C2×#380—472no—
333C2×#380—471no—
334C2×C47#241718yescomplemented
335C2×C47C22×#12111yescharacteristic
336C2×C47C22×C22⋊Q811yescharacteristic
337C2×C47C2×#53711yescharacteristic
338C2×C47C2×#54611yescharacteristic
339C2×C47C2×D4×Q811yescharacteristic
340C2×C47C2×#55211yescharacteristic
341C2×C47C2×#55411yescharacteristic
342D47—28no—
343D47—44no—
344C23×Q8—471no—
345C23×D4—471no—
346C24×C4—471no—
347C24×C4—471no—
348C24×C4—472no—
349C2×C22⋊Q8—478no—
350C2×C22⋊Q8—478no—
351C2×C22⋊Q8—948no—
352C2×C22⋊Q8—948no—
353C2×C4×D4—478no—
354C2×C4×D4—948no—
355C22×C4⋊C4—472no—
356C22×C4⋊C4—472no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—472no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—478no—
361C22×C4⋊C4—948no—
362C22×C4⋊C4C2×D4711yescharacteristic
363C22×C4⋊C4C2×D4712yes—
364C22×C4⋊C4C2×D4711yescharacteristic
365C22×C22⋊C4—471no—
366C22×C22⋊C4—472no—
367C22×C22⋊C4—471no—
368C22×C22⋊C4—472no—
369C22×C22⋊C4—472no—
370C22×C42C2×D4711yescharacteristic
371#398—4716no—
372#396—4716no—
373#391—478no—
374#389C2×D4718yescomplemented
375#386—4716no—
376#380—478no—
377#380—4716no—
378C2×#95—472no—
379C2×#95—472no—
380C2×#95—472no—
381C2×#95C2×D4712yes—
382C47C2×#241711yescharacteristic, complemented, Sylow
383C25—471no—
384C25—471no—
385C22×Q8—474no—
386C22×Q8—944no—
387C22×Q8—944no—
388C22×Q8—944no—
389C22×D4—478no—
390C22×D4—474no—
391C22×D4—944no—
392C22×D4—944no—
393C23×C4—471no—
394C23×C4—478no—
395C23×C4—474no—
396C23×C4—472no—
397C23×C4—471no—
398C23×C4—472no—
399C23×C4—474no—
400C23×C4—478no—
401C23×C4—948no—
402C23×C4—944no—
403C23×C4—944no—
404C23×C4—948no—
405C23×C4—944no—
406C23×C4—944no—
407C23×C4—944no—
408C23×C4—1884no—
409C23×C4C22×D4712yes—
410C23×C4C22×D4711yescharacteristic
411C23×C4C22×D4712yes—
412C23×C4C22×D4711yescharacteristic
413C23×C4C22×D4711yescharacteristic
414C22⋊Q8—9432no—
415C22⋊Q8—9432no—
416C4×D4—9432no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—44no—
419C2×C4⋊C4—478no—
420C2×C4⋊C4—474no—
421C2×C4⋊C4—474no—
422C2×C4⋊C4—478no—
423C2×C4⋊C4—478no—
424C2×C4⋊C4—944no—
425C2×C4⋊C4—948no—
426C2×C4⋊C4—948no—
427C2×C4⋊C4—944no—
428C2×C4⋊C4—948no—
429C2×C4⋊C4—9432no—
430C2×C4⋊C4D18818yescomplemented
431C2×C4⋊C4C22×D4714yes—
432C2×C4⋊C4C22×D4718yes—
433C2×C4⋊C4C22×D4714yes—
434C2×C22⋊C4—474no—
435C2×C22⋊C4—474no—
436C2×C22⋊C4—478no—
437C2×C22⋊C4—478no—
438C2×C22⋊C4—478no—
439C2×C22⋊C4—944no—
440C2×C22⋊C4—944no—
441C2×C22⋊C4—948no—
442C2×C22⋊C4—948no—
443C2×C22⋊C4—1884no—
444C2×C42—24no—
445C2×C42C22×D4714yes—
446#95—478no—
447#95—478no—
448#95—478no—
449#95C22×D4718yes—
450C24—474no—
451C24—474no—
452C24—474no—
453C24—472no—
454C24—474no—
455C24—472no—
456C24—942no—
457C24—942no—
458C24—942no—
459C24—942no—
460C24—942no—
461C24—942no—
462C24—942no—
463C24—942no—
464C24—942no—
465C24—942no—
466C24C23×D4711yescharacteristic
467C2×Q8—948no—
468C2×Q8—948no—
469C2×Q8—948no—
470C2×Q8—18816no—
471C2×D4—4716no—
472C2×D4—948no—
473C2×D4—9432no—
474C2×D4—948no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—474no—
486C22×C4—472no—
487C22×C4—4716no—
488C22×C4—474no—
489C22×C4—474no—
490C22×C4—472no—
491C22×C4—9416no—
492C22×C4—942no—
493C22×C4—942no—
494C22×C4—9432no—
495C22×C4—948no—
496C22×C4—948no—
497C22×C4—942no—
498C22×C4—944no—
499C22×C4—944no—
500C22×C4—944no—
501C22×C4—942no—
502C22×C4—944no—
503C22×C4—942no—
504C22×C4—944no—
505C22×C4—944no—
506C22×C4—948no—
507C22×C4—9416no—
508C22×C4—948no—
509C22×C4—948no—
510C22×C4—1888no—
511C22×C4—18832no—
512C22×C4—18816no—
513C22×C4C2×D18818yes—
514C22×C4C2×D18814yes—
515C22×C4D4×D4714yes—
516C22×C4Q8×D4714yes—
517C22×C4#1062535414yes—
518C22×C4C23×D4712yes—
519C22×C4C23×D4714yes—
520C22×C4C23×D4714yes—
521C22×C4C23×D4712yes—
522C22×C4C23×D4712yes—
523C4⋊C4—28no—
524C4⋊C4—48no—
525C4⋊C4—948no—
526C4⋊C4—9416no—
527C4⋊C4—9416no—
528C4⋊C4—948no—
529C4⋊C4—9416no—
530C4⋊C4C2×D188116yescomplemented
531C22⋊C4—948no—
532C22⋊C4—948no—
533C22⋊C4—9416no—
534C22⋊C4—9416no—
535C22⋊C4—1888no—
536C42—28no—
537C23—4716no—
538C23—474no—
539C23—474no—
540C23—474no—
541C23—474no—
542C23—948no—
543C23—948no—
544C23—948no—
545C23—948no—
546C23—948no—
547C23—942no—
548C23—942no—
549C23—942no—
550C23—942no—
551C23—948no—
552C23—948no—
553C23—948no—
554C23—948no—
555C23—942no—
556C23—942no—
557C23—942no—
558C23—942no—
559C23—942no—
560C23—942no—
561C23—1884no—
562C23—1884no—
563C23—1884no—
564C23—1884no—
565C23C2×D4×D4712yes—
566C23C22×D18812yes—
567C23C2×Q8×D4712yes—
568C23#41×D4712yes—
569C23C2×#1062535412yes—
570C23#1309406912yes—
571C23#1309407112yes—
572C23C24×D4711yescharacteristic
573Q8—18816no—
574D4—9432no—
575C2×C4—216no—
576C2×C4—28no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—44no—
588C2×C4—48no—
589C2×C4—474no—
590C2×C4—948no—
591C2×C4—942no—
592C2×C4—942no—
593C2×C4—9432no—
594C2×C4—942no—
595C2×C4—944no—
596C2×C4—944no—
597C2×C4—944no—
598C2×C4—942no—
599C2×C4—944no—
600C2×C4—942no—
601C2×C4—944no—
602C2×C4—944no—
603C2×C4—18832no—
604C2×C4—1888no—
605C2×C4—1884no—
606C2×C4—1888no—
607C2×C4—18816no—
608C2×C4#13093999116yes—
609C2×C4C2×D4×D4714yes—
610C2×C4C22×D18818yes—
611C2×C4C22×D18814yes—
612C2×C4C2×Q8×D4714yes—
613C2×C4C2×#1062535414yes—
614C22—478no—
615C22—9432no—
616C22—944no—
617C22—944no—
618C22—944no—
619C22—944no—
620C22—944no—
621C22—944no—
622C22—944no—
623C22—944no—
624C22—944no—
625C22—18816no—
626C22—1882no—
627C22—1882no—
628C22—1882no—
629C22—1882no—
630C22C2×#1309399914yes—
631C22C22⋊Q8×D4714yes—
632C22#1568970214yes—
633C22#1568976814yes—
634C22Q8×D18814yes—
635C22#1568981114yes—
636C22#1568983414yes—
637C22C22×D4×D4711yescharacteristic
638C22C23×D18811yescharacteristic
639C22C22×Q8×D4711yescharacteristic
640C22C2×#41×D4711yescharacteristic
641C22C22×#1062535411yescharacteristic
642C22C2×#1309406911yescharacteristic
643C22C2×#1309407111yescharacteristic
644C4—28no—
645C4—24no—
646C4—42no—
647C4—44no—
648C4—944no—
649C4—1884no—
650C4—1882no—
651C4—1884no—
652C4C2×#1309399918yes—
653C2—948no—
654C2—1884no—
655C2#2024683718yesdirect product factor
656C2C22×#1309399911yescharacteristic
657C2C2×C22⋊Q8×D4711yescharacteristic
658C2C2×#1568970211yescharacteristic
659C2C2×#1568976811yescharacteristic
660C2C2×Q8×D18811yescharacteristic
661C2C2×#1568981111yescharacteristic
662C2C2×#1568983411yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#389C2
socleC24×C47C24
prime radicalC23×D188C22
hypercenterC2×#389D47
hypocenterC47C2×#2417
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. C22×#13094004C2semidirect
2. C22×#13094004C2semidirect
4. C22×C4⋊C4×D47C2semidirect
5. #20246837C2direct (N × H)
6. C2×#15689055C2semidirect
7. C2×#15689045C2semidirect
8. C2×#15689029C2semidirect
10. C2×#15688980C2semidirect
11. C2×#15688980C2semidirect
12. C2×C47×#389C2semidirect
20. C2×#13094004C22semidirect
21. C2×#13094004C22semidirect
30. C2×C4⋊C4×D47C22semidirect
36. #15689055C22semidirect
37. #15689045C22semidirect
38. #15689029C22semidirect
40. #15688980C22semidirect
41. #15688980C22semidirect
49. C47×#389C22semidirect
59. C22×D188Q8semidirect
111. C2×C4⋊C4×C47D4semidirect
174. C2×D188C2×Q8semidirect
193. C4⋊C4×C47C2×D4semidirect
236. C22×D47C22⋊Q8semidirect
312. C2×D47C2×C22⋊Q8semidirect
330. C2×#389D47semidirect
334. C2×C47#2417semidirect
374. #389C2×D47semidirect
382. C47C2×#2417semidirect
430. C2×C4⋊C4D188semidirect
530. C4⋊C4C2×D188semidirect
655. C2#20246837direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940042
C22×C4×D1882
C22×C4⋊C4×D472
#202468372
C2×#156890552
C2×#156890452
C2×#156890292
C2×#156890012
C2×#156889802
C2×C47×#3892
C2×#241747