Finite Group Databasebeta

← C2×#20244180 #26219855

Subgroups — C2×#20244180 #26219855

Order 12032.

2158 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D47C211yesmaximal, characteristic
2C22×Dic47⋊C8C211yesmaximal, characteristic, complemented
3C22×C22⋊(C47⋊C8)C211yesmaximal, characteristic, complemented
4C22×(C2×D47)⋊C8C211yesmaximal, characteristic, complemented
5C22×(C2×D47)⋊C8C211yesmaximal, characteristic, complemented
6C22×C8×Dic47C211yesmaximal, characteristic, complemented
7#20244180C218yesmaximal, direct product factor
8C22×C22⋊C8×C47C211yesmaximal, characteristic, complemented
9C23×C22⋊D47C411yescharacteristic
10C23×C4×D47C2211yescharacteristic
11C23×C47⋊C8C2211yescharacteristic
12C23×C47⋊C8C2211yescharacteristic
13C2×C4×C22⋊D47—24no—
14C2×C4×C22⋊D47—24no—
15C2×C4×C22⋊D47C414yes—
16C2×C4×C22⋊D47C2214yes—
17C22×Dic47⋊C4C411yescharacteristic
18C22×C22⋊Dic47C411yescharacteristic
19C22×(C2×D47)⋊C4C411yescharacteristic
20C22×C4×Dic47C2211yescharacteristic
21C2×Dic47⋊C8—24no—
22C2×Dic47⋊C8C2214yescomplemented
23C2×C22⋊(C47⋊C8)—24no—
24C2×C22⋊(C47⋊C8)C2214yescomplemented
25C2×(C2×D47)⋊C8—24no—
26C2×(C2×D47)⋊C8—24no—
27C2×(C2×D47)⋊C8C2214yescomplemented
28C2×(C2×D47)⋊C8C2214yescomplemented
29C2×C8×Dic47—24no—
30C2×C8×Dic47C2214yescomplemented
31C24×C4×C47C2211yescharacteristic
32C23×C8×C47C2211yescharacteristic
33C23×C8×C47C2211yescharacteristic
34C2×C22⋊C8×C47—24no—
35C2×C22⋊C8×C47C2214yescomplemented
36C24×D47C2×C411yescharacteristic
37C22×C22⋊D47—24no—
38C22×C22⋊D47—24no—
39C22×C22⋊D47C818yescomplemented
40C22×C22⋊D47C2×C414yes—
41C23×Dic47C2×C411yescharacteristic
42C23×Dic47C2×C411yescharacteristic
43C23×Dic47C2×C411yescharacteristic
44C22×C4×D47—22no—
45C22×C4×D47—22no—
46C22×C4×D47—22no—
47C22×C4×D47—22no—
48C22×C4×D47—22no—
49C22×C4×D47—22no—
50C22×C4×D47C2×C412yes—
51C22×C4×D47C2312yes—
52C22×C47⋊C8—22no—
53C22×C47⋊C8—22no—
54C22×C47⋊C8—22no—
55C22×C47⋊C8—22no—
56C22×C47⋊C8—22no—
57C22×C47⋊C8D414yescomplemented
58C22×C47⋊C8C2312yes—
59C22×C47⋊C8C2312yes—
60C4×C22⋊D47—216no—
61C4×C22⋊D47—28no—
62C4×C22⋊D47—28no—
63C2×Dic47⋊C4—24no—
64C2×Dic47⋊C4C2×C414yes—
65C2×C22⋊Dic47—24no—
66C2×C22⋊Dic47C2×C414yes—
67C2×(C2×D47)⋊C4—24no—
68C2×(C2×D47)⋊C4C2×C414yes—
69C2×C4×Dic47C2×C412yes—
70C2×C4×Dic47D414yes—
71C2×C4×Dic47D414yes—
72C2×C4×Dic47C2312yes—
73Dic47⋊C8—28no—
74C22⋊(C47⋊C8)—28no—
75(C2×D47)⋊C8—28no—
76(C2×D47)⋊C8—28no—
77C8×Dic47—28no—
78C25×C47C2×C411yescharacteristic
79C23×C4×C47—22no—
80C23×C4×C47—22no—
81C23×C4×C47—22no—
82C23×C4×C47—22no—
83C23×C4×C47—22no—
84C23×C4×C47—22no—
85C23×C4×C47C2×C411yescharacteristic
86C23×C4×C47C2×C412yes—
87C23×C4×C47C2312yes—
88C23×C4×C47C2311yescharacteristic
89C22×C8×C47—22no—
90C22×C8×C47—22no—
91C22×C8×C47—22no—
92C22×C8×C47—22no—
93C22×C8×C47—22no—
94C22×C8×C47D414yescomplemented
95C22×C8×C47C2312yes—
96C22×C8×C47C2312yes—
97C22⋊C8×C47—28no—
98C24×C47—22no—
99C24×C47—22no—
100C24×C47—22no—
101C24×C47—22no—
102C24×C47—22no—
103C24×C47—22no—
104C24×C47C2×C814yes—
105C24×C47C22×C412yes—
106C24×C47C22×C411yescharacteristic
107C23×D47—22no—
108C23×D47—22no—
109C23×D47—22no—
110C23×D47—22no—
111C23×D47—22no—
112C23×D47—22no—
113C23×D47C2×C814yes—
114C23×D47C22×C412yes—
115C22×C4×C47—22no—
116C22×C4×C47—22no—
117C22×C4×C47—22no—
118C22×C4×C47—24no—
119C22×C4×C47—24no—
120C22×C4×C47—24no—
121C22×C4×C47—22no—
122C22×C4×C47—22no—
123C22×C4×C47—22no—
124C22×C4×C47—22no—
125C22×C4×C47—22no—
126C22×C4×C47—22no—
127C22×C4×C47—44no—
128C22×C4×C47—44no—
129C22×C4×C47—44no—
130C22×C4×C47—44no—
131C22×C4×C47C22×C412yes—
132C22×C4×C47C22×C411yescharacteristic
133C22×C4×C47C2×D412yes—
134C22×C4×C47C2×D412yes—
135C22×C4×C47C2×D412yes—
136C22×C4×C47C2×D412yes—
137C22×C4×C47#4112yes—
138C22×C4×C47#4112yes—
139C22×C4×C47C2411yescharacteristic
140C2×C22⋊D47—232no—
141C2×C22⋊D47—28no—
142C2×C22⋊D47—28no—
143C2×C22⋊D47C2×C8116yescomplemented
144C22×Dic47—22no—
145C22×Dic47—22no—
146C22×Dic47—22no—
147C22×Dic47—22no—
148C22×Dic47—22no—
149C22×Dic47C22⋊C414yes—
150C22×Dic47C22⋊C414yes—
151C22×Dic47C2×C814yes—
152C22×Dic47M1614yes—
153C22×Dic47C22×C412yes—
154C22×Dic47C22×C412yes—
155C22×Dic47C22×C412yes—
156C2×C4×D47—24no—
157C2×C4×D47—24no—
158C2×C4×D47—24no—
159C2×C4×D47—22no—
160C2×C4×D47—22no—
161C2×C4×D47—22no—
162C2×C4×D47—22no—
163C2×C4×D47—22no—
164C2×C4×D47—22no—
165C2×C4×D47—44no—
166C2×C4×D47—44no—
167C2×C4×D47—44no—
168C2×C4×D47—44no—
169C2×C8×C47—28no—
170C2×C8×C47—22no—
171C2×C8×C47—22no—
172C2×C8×C47—22no—
173C2×C8×C47—22no—
174C2×C8×C47—22no—
175C2×C8×C47—44no—
176C2×C8×C47C2×D414yescomplemented
177C22⋊Dic47—28no—
178(C2×D47)⋊C4—28no—
179Dic47⋊C4—28no—
180C4×Dic47C22⋊C418yes—
181C4×Dic47C2×D414yes—
182C4×Dic47C2×D414yes—
183C2×C47⋊C8—28no—
184C2×C47⋊C8—22no—
185C2×C47⋊C8—22no—
186C2×C47⋊C8—22no—
187C2×C47⋊C8—22no—
188C2×C47⋊C8—22no—
189C2×C47⋊C8—44no—
190C2×C47⋊C8C2×D414yescomplemented
191C23×C47—22no—
192C23×C47—22no—
193C23×C47—22no—
194C23×C47—22no—
195C23×C47—22no—
196C23×C47—22no—
197C23×C47—28no—
198C23×C47—28no—
199C23×C47—28no—
200C23×C47—44no—
201C23×C47—44no—
202C23×C47—44no—
203C23×C47—44no—
204C23×C47C2×C22⋊C412yes—
205C23×C47C4×D412yes—
206C23×C47C4×D412yes—
207C23×C47C22×C814yes—
208C23×C47C22×C812yes—
209C23×C47C2×M1612yes—
210C23×C47#13112yes—
211C23×C47#13112yes—
212C23×C47C23×C411yescharacteristic
213C22×D47—22no—
214C22×D47—22no—
215C22×D47—22no—
216C22×D47—22no—
217C22×D47—22no—
218C22×D47—22no—
219C22×D47—28no—
220C22×D47—28no—
221C22×D47—28no—
222C22×D47—44no—
223C22×D47—44no—
224C22×D47—44no—
225C22×D47—44no—
226C22×D47C22×C814yes—
227C2×C4×C47—22no—
228C2×C4×C47—22no—
229C2×C4×C47—22no—
230C2×C4×C47—44no—
231C2×C4×C47—42no—
232C2×C4×C47—42no—
233C2×C4×C47—42no—
234C2×C4×C47—42no—
235C2×C4×C47—48no—
236C2×C4×C47C2×C22⋊C412yes—
237C2×C4×C47C4×D412yes—
238C2×C4×C47C4×D412yes—
239C2×C4×C47#12114yes—
240C2×C4×C47#12114yes—
241C2×C4×C47#12414yes—
242C2×C4×C47#12714yes—
243C2×C4×C47C22×D411yescharacteristic
244C2×C4×C47C22×D411yescharacteristic
245C2×C4×C47C22×D411yescharacteristic
246C2×C4×C47C22×D411yescharacteristic
247C2×C4×C47C2×#4111yescharacteristic
248C2×C4×C47C2×#4111yescharacteristic
249C22⋊D47—232no—
250C2×Dic47—22no—
251C2×Dic47—22no—
252C2×Dic47—28no—
253C2×Dic47—22no—
254C2×Dic47—22no—
255C2×Dic47—22no—
256C2×Dic47—44no—
257C2×Dic47C22⋊C8116yescomplemented
258C2×Dic47C2×C22⋊C414yes—
259C2×Dic47C2×C22⋊C414yes—
260C2×Dic47C22×C814yes—
261C2×Dic47C2×M1614yes—
262C4×D47—42no—
263C4×D47—42no—
264C4×D47—42no—
265C4×D47—42no—
266C4×D47—48no—
267C8×C47—24no—
268C8×C47—42no—
269C47⋊C8—24no—
270C47⋊C8—42no—
271C2×#1954—471nomaximal, Sylow
272C22×C47—24no—
273C22×C47—24no—
274C22×C47—24no—
275C22×C47—42no—
276C22×C47—42no—
277C22×C47—42no—
278C22×C47—416no—
279C22×C47—42no—
280C22×C47#39014yes—
281C22×C47C2×C22⋊C814yes—
282C22×C47#40814yes—
283C22×C47C8×D414yes—
284C22×C47C8×D414yes—
285C22×C47#43614yes—
286C22×C47#43614yes—
287C22×C47C22×C22⋊C411yescharacteristic
288C22×C47C2×C4×D411yescharacteristic
289C22×C47C2×C4×D411yescharacteristic
290C22×C47C23×C811yescharacteristic
291C22×C47C22×M1611yescharacteristic
292C22×C47C2×#13111yescharacteristic
293C22×C47C2×#13111yescharacteristic
294C2×D47—24no—
295C2×D47—24no—
296C2×D47—24no—
297C2×D47—42no—
298C2×D47—42no—
299C2×D47—42no—
300C2×D47—416no—
301C2×D47—42no—
302C4×C47—42no—
303C4×C47#39014yes—
304C4×C47C2×#12111yescharacteristic
305C4×C47C2×#12111yescharacteristic
306C4×C47C2×#12411yescharacteristic
307C4×C47C2×#12711yescharacteristic
308Dic47—24no—
309Dic47—42no—
310Dic47C2×C22⋊C818yescomplemented
311C22×C4×D4—471no—
312C22×C4⋊C8—471no—
313C22×C22⋊C8—471no—
314C22×C22⋊C8—471no—
315C22×C22⋊C8—471no—
316C22×C22⋊C8D4711yescharacteristic, complemented
317C22×C4×C8—471no—
318#1954—478no—
319C2×C47—44no—
320C2×C47#195418yescomplemented
321C2×C47C2×#39011yescharacteristic
322C2×C47C22×C22⋊C811yescharacteristic
323C2×C47C2×#40811yescharacteristic
324C2×C47C2×C8×D411yescharacteristic
325C2×C47C2×C8×D411yescharacteristic
326C2×C47C2×#43611yescharacteristic
327C2×C47C2×#43611yescharacteristic
328D47—44no—
329C23×D4—471no—
330C24×C4—471no—
331C24×C4C2×D4711yescharacteristic
332C23×C8—471no—
333C23×C8—471no—
334C23×C8C2×D4711yescharacteristic
335C23×C8C2×D4711yescharacteristic
336C2×C4×D4—474no—
337C2×C4×D4—474no—
338C2×C4×D4—944no—
339C2×C4×D4—944no—
340C22×C4⋊C4—471no—
341C22×C22⋊C4—471no—
342C22×C22⋊C4—471no—
343C22×C42—471no—
344C2×C4⋊C8—474no—
345C2×C4⋊C8—944no—
346C2×C22⋊C8—24no—
347C2×C22⋊C8—474no—
348C2×C22⋊C8—474no—
349C2×C22⋊C8—474no—
350C2×C22⋊C8—944no—
351C2×C22⋊C8—944no—
352C2×C22⋊C8—944no—
353C2×C22⋊C8C2×D4714yescomplemented
354C2×C4×C8—474no—
355C2×C4×C8—944no—
356C47C2×#195411yescharacteristic, complemented, Sylow
357C25—471no—
358C25C4×D4711yescharacteristic
359C22×D4—478no—
360C22×D4—474no—
361C22×D4—944no—
362C22×D4—944no—
363C23×C4—22no—
364C23×C4—22no—
365C23×C4—22no—
366C23×C4—22no—
367C23×C4—22no—
368C23×C4—22no—
369C23×C4—471no—
370C23×C4—471no—
371C23×C4—471no—
372C23×C4—472no—
373C23×C4—472no—
374C23×C4—942no—
375C23×C4—942no—
376C23×C4—942no—
377C23×C4—942no—
378C23×C4—942no—
379C23×C4—942no—
380C23×C4C4×D4711yescharacteristic
381C23×C4C4×D4712yes—
382C23×C4C22×D4712yes—
383C23×C4C22×D4711yescharacteristic
384C22×C8—22no—
385C22×C8—22no—
386C22×C8—22no—
387C22×C8—22no—
388C22×C8—22no—
389C22×C8—474no—
390C22×C8—472no—
391C22×C8—472no—
392C22×C8—942no—
393C22×C8—942no—
394C22×C8—942no—
395C22×C8—942no—
396C22×C8—942no—
397C22×C8C22⋊D4714yescomplemented
398C22×C8C22×D4712yes—
399C22×C8C22×D4712yes—
400C4×D4—9416no—
401C4×D4—948no—
402C4×D4—948no—
403C2×C4⋊C4—474no—
404C2×C4⋊C4—944no—
405C2×C22⋊C4—474no—
406C2×C22⋊C4—474no—
407C2×C22⋊C4—944no—
408C2×C22⋊C4—944no—
409C2×C42—472no—
410C2×C42—474no—
411C2×C42—474no—
412C2×C42—472no—
413C4⋊C8—948no—
414C22⋊C8—28no—
415C22⋊C8—948no—
416C22⋊C8—948no—
417C22⋊C8—948no—
418C4×C8—948no—
419C24—22no—
420C24—22no—
421C24—22no—
422C24—22no—
423C24—22no—
424C24—22no—
425C24—474no—
426C24—472no—
427C24—942no—
428C24—942no—
429C24—942no—
430C24—942no—
431C24—942no—
432C24—942no—
433C24C8×D4714yes—
434C24C2×C4×D4712yes—
435C24C2×C4×D4711yescharacteristic
436C2×D4—4716no—
437C2×D4—948no—
438C2×D4—9432no—
439C2×D4—948no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—24no—
444C22×C4—24no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—44no—
453C22×C4—44no—
454C22×C4—44no—
455C22×C4—44no—
456C22×C4—474no—
457C22×C4—474no—
458C22×C4—474no—
459C22×C4—472no—
460C22×C4—474no—
461C22×C4—472no—
462C22×C4—472no—
463C22×C4—942no—
464C22×C4—942no—
465C22×C4—942no—
466C22×C4—942no—
467C22×C4—942no—
468C22×C4—944no—
469C22×C4—944no—
470C22×C4—944no—
471C22×C4—942no—
472C22×C4—942no—
473C22×C4—942no—
474C22×C4—942no—
475C22×C4—942no—
476C22×C4—942no—
477C22×C4—1884no—
478C22×C4—1884no—
479C22×C4—1884no—
480C22×C4—1884no—
481C22×C4C2×C4×D4712yes—
482C22×C4C2×C4×D4711yescharacteristic
483C22×C4#1062535012yes—
484C22×C4D4×D4712yes—
485C22×C4D4×D4712yes—
486C22×C4D4×D4712yes—
487C22×C4#1062535212yes—
488C22×C4C2×C22⋊D4712yes—
489C22×C4C23×D4711yescharacteristic
490C2×C8—28no—
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—44no—
497C2×C8—474no—
498C2×C8—948no—
499C2×C8—942no—
500C2×C8—942no—
501C2×C8—942no—
502C2×C8—942no—
503C2×C8—942no—
504C2×C8—1884no—
505C2×C8C2×C22⋊D4714yescomplemented
506C4⋊C4—948no—
507C22⋊C4—948no—
508C22⋊C4—948no—
509C42—478no—
510C42—474no—
511C42—474no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23—28no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—28no—
520C23—28no—
521C23—44no—
522C23—44no—
523C23—44no—
524C23—44no—
525C23—474no—
526C23—942no—
527C23—942no—
528C23—942no—
529C23—948no—
530C23—942no—
531C23—942no—
532C23—942no—
533C23—948no—
534C23—948no—
535C23—1884no—
536C23—1884no—
537C23—1884no—
538C23—1884no—
539C23C22⋊C4×D4712yes—
540C23(C22⋊D47)⋊C412yes—
541C23C4×C22⋊D4712yes—
542C23C2×C8×D4714yes—
543C23C2×C8×D4712yes—
544C23M16×D4712yes—
545C23#1309403012yes—
546C23#1309403212yes—
547C23C22×C4×D4711yescharacteristic
548D4—9432no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—44no—
553C2×C4—48no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—42no—
557C2×C4—42no—
558C2×C4—474no—
559C2×C4—4716no—
560C2×C4—474no—
561C2×C4—474no—
562C2×C4—474no—
563C2×C4—948no—
564C2×C4—942no—
565C2×C4—942no—
566C2×C4—942no—
567C2×C4—942no—
568C2×C4—942no—
569C2×C4—1884no—
570C2×C4—1888no—
571C2×C4—1882no—
572C2×C4—1882no—
573C2×C4—1882no—
574C2×C4—1882no—
575C2×C4C22⋊C4×D4712yes—
576C2×C4(C22⋊D47)⋊C412yes—
577C2×C4C4×C22⋊D4712yes—
578C2×C4#1309399614yes—
579C2×C4#1309399714yes—
580C2×C4#1309401014yes—
581C2×C4#1309402014yes—
582C2×C4C2×D4×D4711yescharacteristic
583C2×C4C2×D4×D4711yescharacteristic
584C2×C4C2×D4×D4711yescharacteristic
585C2×C4C22×C22⋊D4711yescharacteristic
586C2×C4C2×#1062535211yescharacteristic
587C2×C4C2×#1062535011yescharacteristic
588C8—24no—
589C8—42no—
590C8—944no—
591C8—1882no—
592C22—24no—
593C22—24no—
594C22—24no—
595C22—42no—
596C22—42no—
597C22—42no—
598C22—42no—
599C22—416no—
600C22—944no—
601C22—944no—
602C22—944no—
603C22—1882no—
604C22—1882no—
605C22—1882no—
606C22—1882no—
607C22—18816no—
608C22#1568902314yes—
609C22C22⋊C8×D4714yes—
610C22#1568908814yes—
611C22(C22⋊D47)⋊C814yes—
612C22C8×C22⋊D4714yes—
613C22#1568919814yes—
614C22#1568919914yes—
615C22C2×C22⋊C4×D4711yescharacteristic
616C22C2×(C22⋊D47)⋊C411yescharacteristic
617C22C2×C4×C22⋊D4711yescharacteristic
618C22C22×C8×D4711yescharacteristic
619C22C2×M16×D4711yescharacteristic
620C22C2×#1309403011yescharacteristic
621C22C2×#1309403211yescharacteristic
622C4—42no—
623C4—478no—
624C4—944no—
625C4—1882no—
626C4#1568902314yes—
627C4C2×#1309399611yescharacteristic
628C4C2×#1309399711yescharacteristic
629C4C2×#1309401011yescharacteristic
630C4C2×#1309402011yescharacteristic
631C2—44no—
632C2—1884no—
633C2#2024418018yesdirect product factor
634C2C2×#1568902311yescharacteristic
635C2C2×C22⋊C8×D4711yescharacteristic
636C2C2×#1568908811yescharacteristic
637C2C2×(C22⋊D47)⋊C811yescharacteristic
638C2C2×C8×C22⋊D4711yescharacteristic
639C2C2×#1568919811yescharacteristic
640C2C2×#1568919911yescharacteristic
subgroupG/H
centerC23×C4C22×D47
commutatorC22×C47C23×C8
FrattiniC22×C4C23×D47
FittingC22×C22⋊C8×C47C2
socleC24×C47C22×C4
prime radicalC23×C22⋊D47C4
cosocleC22×C4×C47C24
hypercenterC22×C22⋊C8D47
hypocenterC47C2×#1954
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C22×Dic47⋊C8C2semidirect
3. C22×C22⋊(C47⋊C8)C2semidirect
4. C22×(C2×D47)⋊C8C2semidirect
5. C22×(C2×D47)⋊C8C2semidirect
6. C22×C8×Dic47C2semidirect
7. #20244180C2direct (N × H)
8. C22×C22⋊C8×C47C2semidirect
22. C2×Dic47⋊C8C22semidirect
24. C2×C22⋊(C47⋊C8)C22semidirect
27. C2×(C2×D47)⋊C8C22semidirect
28. C2×(C2×D47)⋊C8C22semidirect
30. C2×C8×Dic47C22semidirect
35. C2×C22⋊C8×C47C22semidirect
39. C22×C22⋊D47C8semidirect
57. C22×C47⋊C8D4semidirect
94. C22×C8×C47D4semidirect
143. C2×C22⋊D47C2×C8semidirect
176. C2×C8×C47C2×D4semidirect
190. C2×C47⋊C8C2×D4semidirect
257. C2×Dic47C22⋊C8semidirect
310. Dic47C2×C22⋊C8semidirect
316. C22×C22⋊C8D47semidirect
320. C2×C47#1954semidirect
353. C2×C22⋊C8C2×D47semidirect
356. C47C2×#1954semidirect
397. C22×C8C22⋊D47semidirect
505. C2×C8C2×C22⋊D47semidirect
633. C2#20244180direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D472
C22×Dic47⋊C82
C22×C22⋊(C47⋊C8)2
C22×(C2×D47)⋊C82
C22×C8×Dic472
#202441802
C22×C22⋊C8×C472
C2×#195447