Finite Group Databasebeta

← #25261862

Subgroups — #25261862

Order 11008.

2244 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic86C211yesmaximal, characteristic
2#19137755C214yesmaximal, complemented
3#19137681C212yesmaximal, complemented
4#19137651C211yesmaximal, characteristic, complemented
5#19137620C212yesmaximal, complemented
6#19137567C212yesmaximal
7#19137550C211yesmaximal, characteristic, complemented
8#19137544C211yesmaximal, characteristic
9C22⋊C4×Dic86C212yesmaximal, complemented
10#19137352C214yesmaximal, complemented
11#19137342C212yesmaximal, complemented
12#19137277C212yesmaximal, complemented
13#19137232C212yesmaximal
14#19137179C212yesmaximal, complemented
15C4×#13063325C211yesmaximal, characteristic, complemented
16#19137072C211yesmaximal, characteristic, complemented
17C43×#2293C211yesmaximal, characteristic
18C23×Dic86C2212yes—
19D4×Dic86C4116yescomplemented
20C2×#13063325C2211yescharacteristic
21C2×#13063324C2212yes—
22C2×#13063304C2212yes—
23C2×#13063302C2214yes—
24C2×C4×Dic86C2212yes—
25C2×C4×Dic86C2212yes—
26C2×C4×Dic86C2211yescharacteristic
27C2×D4×Dic43C2212yes—
28C2×#13063284C2212yes—
29#14582805C2212yes—
30#14582805C2211yescharacteristic
31#14582805C2211yescharacteristic
32#14582805C2212yes—
33#14582805C2212yes—
34#14582804C2214yes—
35#14582804C2214yes—
36#14582803C2214yes—
37#14582803C2214yes—
38#14582802C2212yes—
39#14582797C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582797C2212yes—
42#14582797C2212yes—
43#14582795C2212yes—
44#14582794C2214yes—
45#14582793C2214yes—
46#14582793C2214yes—
47#14582792C2214yes—
48#14582787C2214yes—
49#14582787C2214yes—
50#14582786C2214yes—
51#14582783C2212yes—
52#14582783C2212yes—
53#14582782C2214yes—
54#14582781C2214yes—
55#14582780C2214yes—
56#14582769C2211yescharacteristic
57#14582764C2212yes—
58#14582760C2214yes—
59#14582760C2214yes—
60#14582759C2212yes—
61#14582757C2214yes—
62C4⋊C4×Dic43C2212yes—
63C4⋊C4×Dic43C2212yes—
64C4⋊C4×Dic43C2212yes—
65C4×Dic43⋊C4C2212yes—
66C4×C4⋊Dic43C2211yescharacteristic
67C4×C4⋊Dic43C2212yes—
68C4×C4⋊Dic43C2212yes—
69C4×C4⋊Dic43C2212yes—
70#14582750C2214yes—
71C22⋊C4×Dic43C2214yes—
72#14582745C2212yes—
73C2×C4×D4×C43C2211yescharacteristic
74C2×#117×C43C2212yes—
75C43×#390C2211yescharacteristic
76C43×#390C2211yescharacteristic
77C43×#389C2211yescharacteristic
78C43×#389C2211yescharacteristic
79C43×#388C2212yes—
80C43×#388C2212yes—
81C4×C4⋊C4×C43C2211yescharacteristic
82C4×C22⋊C4×C43C2212yes—
83C43×C43C2211yescharacteristic
84C22×Dic86—44no—
85C22×Dic86—44no—
86C22×Dic86C2×C4116yes—
87C22×Dic86C2311yescharacteristic
88C22×Dic86C2312yes—
89C22×Dic86C2314yes—
90C23×Dic43C2314yes—
91#13063325C2×C418yes—
92#13063324C2×C4116yes—
93#13063304C2×C4116yes—
94#13063302C2×C4132yes—
95C4×Dic86—44no—
96C4×Dic86—44no—
97C4×Dic86C2×C418yes—
98D4×Dic43C2×C4116yes—
99#13063284—44no—
100C2×C4⋊Dic43C2312yes—
101C2×C4⋊Dic43C2311yescharacteristic
102C2×C4⋊Dic43C2311yescharacteristic
103C2×C4⋊Dic43C2312yes—
104C2×C4⋊Dic43C2312yes—
105C2×C4⋊Dic43C2312yes—
106C2×C4⋊Dic43C2311yescharacteristic
107C2×C4⋊Dic43C2312yes—
108C2×Dic43⋊C4C2312yes—
109C2×Dic43⋊C4C2312yes—
110C2×Dic43⋊C4C2314yes—
111C2×Dic43⋊C4C2314yes—
112C2×Dic43⋊C4C2312yes—
113C2×Dic43⋊C4C2314yes—
114C2×C22⋊Dic43C2314yes—
115C2×C22⋊Dic43C2314yes—
116C2×C22⋊Dic43C2314yes—
117C2×C4×Dic43C2312yes—
118C2×C4×Dic43C2314yes—
119C2×C4×Dic43C2314yes—
120C2×C4×Dic43C2314yes—
121C2×C4×Dic43C2314yes—
122C2×C4×Dic43C2312yes—
123C43⋊#95C2314yes—
124C43⋊#95C2314yes—
125C43⋊#95C2314yes—
126C43⋊#95C2312yes—
127C43⋊#95C2314yes—
128C43⋊#95C2314yes—
129C43⋊#95C2312yes—
130C43⋊#95C2314yes—
131C43⋊#95C2312yes—
132C43⋊#95C2314yes—
133C43⋊#95C2314yes—
134C43⋊#95C2312yes—
135C43⋊#95C2312yes—
136C43⋊#95C2312yes—
137C43⋊#95C2312yes—
138C22×D4×C43C2311yescharacteristic
139C23×C4×C43C2312yes—
140C4×D4×C43C2×C418yes—
141#117×C43—44no—
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C4⋊C4×C43C2311yescharacteristic
144C2×C4⋊C4×C43C2312yes—
145C2×C4⋊C4×C43C2312yes—
146C2×C4⋊C4×C43C2311yescharacteristic
147C2×C22⋊C4×C43C2312yes—
148C2×C22⋊C4×C43C2312yes—
149C2×C22⋊C4×C43C2312yes—
150C2×C22⋊C4×C43C2312yes—
151C2×C22⋊C4×C43C2312yes—
152C2×C42×C43C2311yescharacteristic
153C2×C42×C43C2311yescharacteristic
154C2×C42×C43C2311yescharacteristic
155C2×C42×C43C2312yes—
156C2×C42×C43C2311yescharacteristic
157C2×C42×C43C2311yescharacteristic
158C2×C42×C43C2311yescharacteristic
159C2×C42×C43C2311yescharacteristic
160#95×C43C2312yes—
161#95×C43C2312yes—
162#95×C43C2312yes—
163C24×C43C2412yes—
164C2×D4×C43—22no—
165C2×D4×C43—22no—
166C2×D4×C43C22×C414yes—
167C22×C4×C43—24no—
168C22×C4×C43—24no—
169C22×C4×C43C22×C418yes—
170C22×C4×C43C2411yescharacteristic
171C22×C4×C43C2412yes—
172C22×C4×C43C2412yes—
173C22×C4×C43C2411yescharacteristic
174C22×C4×C43C2411yescharacteristic
175C22×C4×C43C2411yescharacteristic
176C22×C4×C43C2412yes—
177C22×C4×C43C2411yescharacteristic
178C22×C4×C43C2411yescharacteristic
179C22×C4×C43C2411yescharacteristic
180C22×Dic43—44no—
181C22×Dic43—44no—
182C22×Dic43C22×C4116yes—
183C22×Dic43C2412yes—
184C22×Dic43C2412yes—
185C22×Dic43C2414yes—
186C22×Dic43C2412yes—
187C22×Dic43C2412yes—
188C22×Dic43C2414yes—
189C2×Dic86—24no—
190C2×Dic86—24no—
191C2×Dic86—22no—
192C2×Dic86—22no—
193C2×Dic86—432no—
194C2×Dic86—44no—
195C2×Dic86—44no—
196C2×Dic86C22×C414yes—
197C2×Dic86C22×C418yes—
198C2×Dic86C22×C4116yes—
199C4⋊C4×C43—22no—
200C4⋊C4×C43—22no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43C22×C414yes—
204C22⋊C4×C43—24no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—42no—
208C22⋊C4×C43C22×C418yes—
209C42×C43—22no—
210C42×C43—24no—
211C42×C43—22no—
212C42×C43—22no—
213C42×C43—22no—
214C42×C43—22no—
215C42×C43—41no—
216C42×C43C22×C414yes—
217C22⋊Dic43—44no—
218C22⋊Dic43—44no—
219C22⋊Dic43C22×C4116yes—
220C4⋊Dic43—22no—
221C4⋊Dic43—24no—
222C4⋊Dic43—22no—
223C4⋊Dic43—24no—
224C4⋊Dic43—42no—
225C4⋊Dic43C22×C418yes—
226C4⋊Dic43C22×C414yes—
227C4⋊Dic43C22×C418yes—
228Dic43⋊C4—24no—
229Dic43⋊C4—42no—
230Dic43⋊C4—44no—
231Dic43⋊C4—44no—
232Dic43⋊C4C22×C418yes—
233Dic43⋊C4C22×C4116yes—
234C4×Dic43—24no—
235C4×Dic43—44no—
236C4×Dic43—44no—
237C4×Dic43—44no—
238C4×Dic43—44no—
239C4×Dic43C22×C418yes—
240C23×C43—22no—
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—22no—
244C23×C43—22no—
245C23×C43—22no—
246C23×C43C23×C414yes—
247C23×C43C2511yescharacteristic
248D4×C43—28no—
249C2×C4×C43—21no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—216no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43C23×C412yes—
272C2×C4×C43C23×C414yes—
273C2×C4×C43C23×C412yes—
274C2×C4×C43C23×C412yes—
275C2×C4×C43H(5,𝔽2)12yes—
276C2×C4×C43H(5,𝔽2)12yes—
277C2×C4×C432−1+412yes—
278C2×C4×C432−1+412yes—
279C2×C4×C432−1+412yes—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—24no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—24no—
293C2×Dic43—24no—
294C2×Dic43—22no—
295C2×Dic43—416no—
296C2×Dic43C23×C414yes—
297C2×Dic43C23×C414yes—
298C2×Dic43C23×C418yes—
299Dic86—28no—
300Dic86—216no—
301Dic86—416no—
302#34487—431nomaximal, Sylow
303C22×C43—24no—
304C22×C43—24no—
305C22×C43—24no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—42no—
309C22×C43—42no—
310C22×C43C24×C411yescharacteristic
311C22×C43C2×H(5,𝔽2)11yescharacteristic
312C22×C43C2×H(5,𝔽2)11yescharacteristic
313C22×C43C2×2−1+411yescharacteristic
314C22×C43C2×2−1+411yescharacteristic
315C22×C43C2×2−1+411yescharacteristic
316C22×C43#58511yescharacteristic
317C4×C43—24no—
318C4×C43—22no—
319C4×C43—22no—
320C4×C43—42no—
321C4×C43—41no—
322C4×C43—42no—
323C4×C43—41no—
324C4×C43—41no—
325C4×C43#51814yes—
326C4×C43#51914yes—
327Dic43—24no—
328Dic43—28no—
329Dic43—24no—
330Dic43—42no—
331Dic43—42no—
332Dic43—44no—
333C2×D4×Q8—431no—
334#2378—434no—
335#2369—432no—
336#2365—431no—
337#2362—432no—
338#2357—432no—
339#2355—431no—
340#2354—431no—
341Q8×C22⋊C4—432no—
342#2332—434no—
343#2331—432no—
344#2323—432no—
345#2319—432no—
346#2310—432no—
347C4×C4⋊Q8—431no—
348#2295—431no—
349#2293D4311yescharacteristic
350C2×C43—44no—
351C2×C43C2×#51811yescharacteristic
352C2×C43C2×#51911yescharacteristic
353C2×C43C4×2−1+411yescharacteristic
354C2×C43#354711yescharacteristic
355C2×C43#355011yescharacteristic
356C2×C43#355211yescharacteristic
357C2×C43#355411yescharacteristic
358C23×Q8—432no—
359D4×Q8—4316no—
360C2×C4⋊Q8—432no—
361C2×C4⋊Q8—431no—
362C2×C22⋊Q8—432no—
363C2×C22⋊Q8—434no—
364C2×C4×Q8—431no—
365C2×C4×Q8—432no—
366C2×C4×Q8—432no—
367C2×C4×D4—432no—
368C2×C4×D4C2×D4311yescharacteristic
369C2×#117—432no—
370C2×#117C2×D4312yes—
371#391—434no—
372#391—434no—
373#391—432no—
374#391—431no—
375#391—432no—
376#391—432no—
377#391—431no—
378#391—434no—
379#391—434no—
380#390—432no—
381#390C2×D4311yescharacteristic
382#390C2×D4311yescharacteristic
383#389—434no—
384#389—432no—
385#389—432no—
386#389—432no—
387#389—431no—
388#389—431no—
389#389C2×D4311yescharacteristic
390#389C2×D4311yescharacteristic
391#388—434no—
392#388—434no—
393#388—434no—
394#388—434no—
395#388—434no—
396#388C2×D4312yes—
397#388C2×D4312yes—
398#387—434no—
399#387—432no—
400#387—432no—
401#387—434no—
402#387—434no—
403#387—434no—
404#384—431no—
405#382—432no—
406#381—434no—
407#381—434no—
408#380—432no—
409#380—434no—
410C4×C4⋊C4—432no—
411C4×C4⋊C4—432no—
412C4×C4⋊C4—432no—
413C4×C4⋊C4—432no—
414C4×C4⋊C4—432no—
415C4×C4⋊C4—432no—
416C4×C4⋊C4—431no—
417C4×C4⋊C4—432no—
418C4×C4⋊C4—434no—
419C4×C4⋊C4C2×D4311yescharacteristic
420C4×C22⋊C4—434no—
421C4×C22⋊C4C2×D4312yes—
422#376—432no—
423C43C2×D4311yescharacteristic
424C43#3448711yescharacteristic, complemented, Sylow
425C22×Q8—4316no—
426C22×Q8—432no—
427C22×Q8—431no—
428C22×Q8—434no—
429C22×Q8—1724no—
430C22×Q8—1724no—
431C22×D4C22×D4311yescharacteristic
432C23×C4—434no—
433C23×C4C22×D4312yes—
434C4⋊Q8—4316no—
435C4⋊Q8—438no—
436C22⋊Q8—4316no—
437C22⋊Q8—4332no—
438C4×Q8—438no—
439C4×Q8—1724no—
440C4×Q8—1724no—
441C4×D4—4316no—
442C4×D4C4×D4318yes—
443#117—44no—
444#117—1724no—
445C2×C4⋊C4—432no—
446C2×C4⋊C4—432no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—434no—
449C2×C4⋊C4—432no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—432no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—432no—
454C2×C4⋊C4—432no—
455C2×C4⋊C4—434no—
456C2×C4⋊C4—434no—
457C2×C4⋊C4—432no—
458C2×C4⋊C4—432no—
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4312yes—
462C2×C4⋊C4C22×D4312yes—
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C22⋊C4—434no—
465C2×C22⋊C4—434no—
466C2×C22⋊C4—434no—
467C2×C22⋊C4C22×D4312yes—
468C2×C22⋊C4C22×D4312yes—
469C2×C22⋊C4C22×D4312yes—
470C2×C22⋊C4C22×D4312yes—
471C2×C22⋊C4C22×D4312yes—
472C2×C42—432no—
473C2×C42—432no—
474C2×C42—434no—
475C2×C42—434no—
476C2×C42—434no—
477C2×C42—434no—
478C2×C42C22×D4311yescharacteristic
479C2×C42C22×D4312yes—
480C2×C42C22×D4311yescharacteristic
481C2×C42C22×D4311yescharacteristic
482C2×C42C22×D4311yescharacteristic
483C2×C42C22×D4311yescharacteristic
484C2×C42C22×D4311yescharacteristic
485C2×C42C22×D4311yescharacteristic
486#95—432no—
487#95—432no—
488#95—432no—
489#95—432no—
490#95—432no—
491#95—434no—
492#95—434no—
493#95—434no—
494#95—432no—
495#95—434no—
496#95—434no—
497#95—434no—
498#95—434no—
499#95—434no—
500#95—432no—
501#95C22×D4312yes—
502#95C22×D4312yes—
503#95C22×D4312yes—
504C24C23×D4312yes—
505C2×Q8—434no—
506C2×Q8—438no—
507C2×Q8—4316no—
508C2×Q8—864no—
509C2×Q8—862no—
510C2×Q8—864no—
511C2×Q8—862no—
512C2×Q8—1724no—
513C2×Q8—1724no—
514C2×Q8—17232no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4C2×C4×D4314yes—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—432no—
521C22×C4—432no—
522C22×C4—434no—
523C22×C4—4316no—
524C22×C4—432no—
525C22×C4—432no—
526C22×C4—434no—
527C22×C4—1724no—
528C22×C4—1724no—
529C22×C4C2×C4×D4318yes—
530C22×C4C23×D4311yescharacteristic
531C22×C4C23×D4312yes—
532C22×C4C23×D4311yescharacteristic
533C22×C4C23×D4312yes—
534C22×C4C23×D4311yescharacteristic
535C22×C4C23×D4312yes—
536C22×C4C23×D4311yescharacteristic
537C22×C4C23×D4311yescharacteristic
538C22×C4C23×D4311yescharacteristic
539C22×C4C23×D4311yescharacteristic
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—438no—
545C4⋊C4—438no—
546C4⋊C4—434no—
547C4⋊C4—4316no—
548C4⋊C4—438no—
549C4⋊C4—862no—
550C4⋊C4—862no—
551C4⋊C4—864no—
552C4⋊C4—864no—
553C4⋊C4—864no—
554C4⋊C4—1724no—
555C4⋊C4—1724no—
556C4⋊C4—1722no—
557C4⋊C4—1722no—
558C4⋊C4C2×C4×D4314yes—
559C22⋊C4—24no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—4316no—
564C22⋊C4—1724no—
565C22⋊C4—1724no—
566C22⋊C4C2×C4×D4318yes—
567C42—22no—
568C42—24no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—41no—
574C42—438no—
575C42—864no—
576C42—1724no—
577C42—1724no—
578C42—1724no—
579C42—1724no—
580C42C2×C4×D4314yes—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23C22×C4×D4314yes—
588C23C24×D4311yescharacteristic
589Q8—868no—
590Q8—8616no—
591Q8—17216no—
592D4—28no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—216no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—434no—
616C2×C4—434no—
617C2×C4—438no—
618C2×C4—864no—
619C2×C4—862no—
620C2×C4—864no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—862no—
626C2×C4—864no—
627C2×C4—862no—
628C2×C4—862no—
629C2×C4—864no—
630C2×C4—862no—
631C2×C4—864no—
632C2×C4—862no—
633C2×C4—17216no—
634C2×C4C22×C4×D4312yes—
635C2×C4C22×C4×D4314yes—
636C2×C4C22×C4×D4312yes—
637C2×C4C22×C4×D4312yes—
638C2×C4#1306337012yes—
639C2×C4#1306337112yes—
640C2×C4#1306337212yes—
641C2×C4#1306337212yes—
642C2×C4#1306337212yes—
643C22—24no—
644C22—24no—
645C22—24no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22C23×C4×D4311yescharacteristic
651C22C2×#1306337011yescharacteristic
652C22C2×#1306337111yescharacteristic
653C22C2×#1306337211yescharacteristic
654C22C2×#1306337211yescharacteristic
655C22C2×#1306337211yescharacteristic
656C22#1458373511yescharacteristic
657C4—24no—
658C4—22no—
659C4—22no—
660C4—41no—
661C4—41no—
662C4—42no—
663C4—42no—
664C4—41no—
665C4—864no—
666C4—868no—
667C4—864no—
668C4—1724no—
669C4—1722no—
670C4—1722no—
671C4#1458337114yes—
672C4#1458337614yes—
673C2—44no—
674C2C2×#1458337111yescharacteristic
675C2C2×#1458337611yescharacteristic
676C2C4×#1306337211yescharacteristic
677C2#1914898411yescharacteristic
678C2#1914900911yescharacteristic
679C2#1914904011yescharacteristic
680C2#1914906811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2293C2
socle, cosocleC23×C43C25
prime radicalC22×D4×C43C23
hypercenter#2293D43
hypocenterC43#34487
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2293

Complements

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

NH ≅ G/Ntype
2. #19137755C2semidirect
3. #19137681C2semidirect
4. #19137651C2semidirect
5. #19137620C2semidirect
7. #19137550C2semidirect
9. C22⋊C4×Dic86C2semidirect
10. #19137352C2semidirect
11. #19137342C2semidirect
12. #19137277C2semidirect
14. #19137179C2semidirect
15. C4×#13063325C2semidirect
16. #19137072C2semidirect
19. D4×Dic86C4semidirect
424. C43#34487semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic862
#191377552
#191376812
#191376512
#191376202
#191375672
#191375502
#191375442
C22⋊C4×Dic862
#191373522
#191373422
#191372772
#191372322
#191371792
C4×#130633252
#191370722
C43×#22932
#3448743