Finite Group Databasebeta

← #17978952

Subgroups — #17978952

Order 4352.

2094 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545284C214yesmaximal, complemented
2#14545280C214yesmaximal
3#14545279C212yesmaximal, complemented
4#14545275C212yesmaximal, complemented
5#14545271C214yesmaximal
6#14545246C214yesmaximal
7#14545243C212yesmaximal, complemented
8#14545243C214yesmaximal, complemented
9#14545231C211yesmaximal, characteristic
10C4×Q8×#595C212yesmaximal, complemented
11C4×#10587677C211yesmaximal, characteristic
12D17×#533C211yesmaximal, characteristic
13C2×Q8×#595C2214yes—
14C2×#10587677C2212yes—
15(C2×#595)⋊Q8C2214yes—
16(C2×#595)⋊Q8C2218yes—
17#11763760C2214yes—
18#11763760C2218yes—
19#11763759C2218yes—
20#11763759C2218yes—
21#11763758C2218yes—
22#11763758C2218yes—
23#11763758C2218yes—
24#11763758C2218yes—
25#11763758C2218yes—
26#11763754C2212yes—
27#11763753C2212yes—
28#11763752C2212yes—
29#11763751C2212yes—
30C4⋊C4×#595C2214yes—
31C4⋊C4×#595C2218yes—
32C4×C4⋊#595C2212yes—
33C4×C4⋊#595C2212yes—
34C4×C4⋊#595C2212yes—
35C4×C4⋊#595C2214yes—
36C4×C4⋊#595C2214yes—
37C4×C22⋊#595C2212yes—
38C4×C22⋊#595C2212yes—
39C4×C22⋊#595C2212yes—
40#11763745C2212yes—
41#11763745C2212yes—
42#11763745C2214yes—
43C42×#595C2211yescharacteristic
44C42×#595C2211yescharacteristic
45C42×#595C2214yes—
46#11763366C411yescharacteristic, complemented
47#11763365C412yescomplemented
48#11763364C411yescharacteristic, complemented
49#11763364C411yescharacteristic, complemented
50#11763363C412yescomplemented
51#11763363C412yescomplemented
52#11763362C412yescomplemented
53#11763361C412yescomplemented
54#11763361C412yescomplemented
55C4⋊Q8×D17C2211yescharacteristic
56C4⋊Q8×D17C2211yescharacteristic
57#125×D17C2212yes—
58C22⋊Q8×D17C2212yes—
59C22⋊Q8×D17C2212yes—
60C4×Q8×D17C2212yes—
61C4×Q8×D17C2212yes—
62#117×D17C2212yes—
63C2×C42×D17C2211yescharacteristic
64C17×#533C411yescharacteristic, complemented
65C2×Q8×D17C2312yes—
66C2×Q8×D17C2312yes—
67C22×C4×D17C2311yescharacteristic
68C22×C4×D17C2311yescharacteristic
69C22×C4×D17C2311yescharacteristic
70C2×C22⋊#595C2314yes—
71C2×C22⋊#595C2314yes—
72Q8×#595—216no—
73#10587677—28no—
74C2×C4⋊#595C2314yes—
75C2×C4⋊#595C2314yes—
76C2×C4⋊#595C2318yes—
77C2×C4⋊#595C2318yes—
78C2×C4×#595C2312yes—
79C2×C4×#595C2312yes—
80C2×C4×#595C2314yes—
81C2×C4×#595C2312yes—
82C2×C4×#595C2318yes—
83C2×C4×#595C2312yes—
84C2×C4×#595C2312yes—
85C2×C4×#595C2318yes—
86C2×C4×#595C2312yes—
87C17×C4⋊Q8C2×C411yescharacteristic
88C17×C4⋊Q8C2×C411yescharacteristic
89C17×#125C2×C412yes—
90C17×C22⋊Q8C2×C412yes—
91C17×C22⋊Q8C2×C412yes—
92C4×Q8×C17C2×C412yes—
93C4×Q8×C17C2×C412yes—
94C17×#117C2×C412yes—
95C2×C42×C17C2×C411yescharacteristic
96#10587632C2×C412yes—
97#10587632C2×C412yes—
98Q8×Dic17C2×C412yes—
99Q8×Dic17C2×C412yes—
100#10587630C2×C412yes—
101#10587630C2×C412yes—
102#10587612C2×C412yes—
103#10587610C2×C412yes—
104#10587610C2×C412yes—
105C2×C4×Dic17C2×C411yescharacteristic
106C2×C4×Dic17C2×C411yescharacteristic
107C2×C4×Dic17C2×C411yescharacteristic
108#10587583C2×C412yes—
109#10587583C2×C412yes—
110#10587582C2×C414yes—
111#10587582C2×C414yes—
112#10587578C2×C412yes—
113#10587578C2×C412yes—
114C4⋊C4×D17C2314yes—
115C4⋊C4×D17C2312yes—
116C4⋊C4×D17C2312yes—
117C4⋊C4×D17C2312yes—
118C4⋊C4×D17C2312yes—
119C4⋊C4×D17C2314yes—
120#10587576C2×C412yes—
121#10587576C2×C412yes—
122#10587575C2×C414yes—
123#10587575C2×C414yes—
124#10587574C2×C412yes—
125#10587574C2×C412yes—
126#10587574C2×C412yes—
127#10587574C2×C412yes—
128#10587573C2×C412yes—
129#10587573C2×C412yes—
130#10587573C2×C414yes—
131#10587573C2×C414yes—
132C22⋊C4×D17C2314yes—
133#10587564C2×C414yes—
134#10587564C2×C414yes—
135#10587563C2×C414yes—
136#10587558C2×C414yes—
137C42×D17C2×C411yescharacteristic
138C42×D17C2×C411yescharacteristic
139C42×D17C2×C411yescharacteristic
140C42×D17C2×C411yescharacteristic
141C42×D17C2311yescharacteristic
142C42×D17C2314yes—
143C42×D17C2311yescharacteristic
144C42×D17C2311yescharacteristic
145C42×D17C2311yescharacteristic
146#10587556C2×C412yes—
147#10587555C2×C411yescharacteristic
148#10587555C2×C411yescharacteristic
149C4×Dic34C2×C414yes—
150C4×Dic34C2×C414yes—
151C4×Dic34C2×C412yes—
152C4×Dic34C2×C412yes—
153(C2×#595)⋊C4C2314yes—
154(C2×#595)⋊C4C2314yes—
155(C2×#595)⋊C4C2314yes—
156(C2×#595)⋊C4C2314yes—
157(C2×#595)⋊C4C2318yes—
158(C2×#595)⋊C4C2318yes—
159(C2×#595)⋊C4C2314yes—
160(C2×#595)⋊C4C2314yes—
161(C2×#595)⋊C4C2318yes—
162(C2×#595)⋊C4C2318yes—
163C23×D17C2411yescharacteristic
164C22×#595C2418yes—
165C22×#595C2414yes—
166C22×#595C2414yes—
167C2×Q8×C17C22×C412yes—
168C2×Q8×C17C22×C412yes—
169C22×C4×C17C22×C411yescharacteristic
170C22×C4×C17C22×C411yescharacteristic
171C22×C4×C17C22×C411yescharacteristic
172C22×Dic17C22×C411yescharacteristic
173C22×Dic17C22×C411yescharacteristic
174C22×Dic17C22×C411yescharacteristic
175Q8×D17—28no—
176Q8×D17—44no—
177C2×C4×D17—24no—
178C2×C4×D17—24no—
179C2×C4×D17—42no—
180C2×C4×D17C22×C411yescharacteristic
181C2×C4×D17C22×C411yescharacteristic
182C2×C4×D17C22×C411yescharacteristic
183C2×C4×D17C22×C411yescharacteristic
184C2×C4×D17C22×C411yescharacteristic
185C2×C4×D17C22×C411yescharacteristic
186C2×C4×D17C2411yescharacteristic
187C2×C4×D17C2414yes—
188C2×C4×D17C2414yes—
189C2×C4×D17C2411yescharacteristic
190C2×C4×D17C2411yescharacteristic
191C2×C4×D17C2411yescharacteristic
192C2×C4×D17C2411yescharacteristic
193C2×C4×D17C2411yescharacteristic
194C2×Dic34C22×C412yes—
195C2×Dic34C22×C414yes—
196C2×Dic34C22×C412yes—
197C2×Dic34C22×C414yes—
198C22⋊#595—28no—
199C22⋊#595—44no—
200C4⋊#595—28no—
201C4⋊#595—216no—
202C4⋊#595—28no—
203C4⋊#595—48no—
204C4×#595—216no—
205C4×#595—24no—
206C4×#595—24no—
207C4×#595—24no—
208C4×#595—28no—
209C4×#595—42no—
210C4×#595—42no—
211C4×#595—48no—
212C4×#595#4118yes—
213C4⋊C4×C17C22×C414yes—
214C4⋊C4×C17C22×C414yes—
215C4⋊C4×C17C22×C412yes—
216C4⋊C4×C17C22×C412yes—
217C4⋊C4×C17C22×C412yes—
218C4⋊C4×C17C22×C412yes—
219C22⋊C4×C17C22×C414yes—
220C42×C17C22×C411yescharacteristic
221C42×C17C22×C411yescharacteristic
222C42×C17C22×C411yescharacteristic
223C42×C17C22×C411yescharacteristic
224C42×C17C22×C414yes—
225C22⋊Dic17C22×C414yes—
226#63227C22×C414yes—
227#63227C22×C414yes—
228C4⋊Dic17C22×C412yes—
229C4⋊Dic17C22×C412yes—
230C4⋊Dic17C22×C414yes—
231C4⋊Dic17C22×C414yes—
232C4⋊Dic17C22×C412yes—
233C4⋊Dic17C22×C412yes—
234#63225C22×C414yes—
235#63225C22×C414yes—
236#63225C22×C414yes—
237#63225C22×C414yes—
238#63225C22×C414yes—
239#63225C22×C414yes—
240#63225C22×C414yes—
241#63225C22×C414yes—
242C4×Dic17C22×C411yescharacteristic
243C4×Dic17C22×C411yescharacteristic
244C4×Dic17C22×C414yes—
245C4×Dic17C22×C411yescharacteristic
246C4×Dic17C22×C411yescharacteristic
247C4×Dic17C22×C411yescharacteristic
248C4×Dic17C22×C411yescharacteristic
249C4×Dic17C22×C411yescharacteristic
250C4×Dic17C22×C411yescharacteristic
251C4×Dic17C22×C411yescharacteristic
252C4×Dic17C22×C411yescharacteristic
253C4×Dic17C22×C411yescharacteristic
254C4×Dic17C22×C411yescharacteristic
255C4×Dic17C22×C414yes—
256C4×Dic17C22×C414yes—
257#34085—171nomaximal, Sylow
258C23×C17C23×C411yescharacteristic
259C22×D17—22no—
260C22×D17—22no—
261C22×D17—22no—
262C22×D17C23×C411yescharacteristic
263C22×D17C2511yescharacteristic
264C2×#595—24no—
265C2×#595—24no—
266C2×#595—28no—
267C2×#595—24no—
268C2×#595—28no—
269C2×#595—24no—
270C2×#595—24no—
271C2×#595—28no—
272C2×#595C2×#4118yes—
273Q8×C17—24no—
274Q8×C17—42no—
275C2×C4×C17—22no—
276C2×C4×C17—22no—
277C2×C4×C17—41no—
278C2×C4×C17C23×C411yescharacteristic
279C2×C4×C17C23×C411yescharacteristic
280C2×C4×C17C23×C411yescharacteristic
281C2×C4×C17C23×C411yescharacteristic
282C2×C4×C17C23×C414yes—
283C2×C4×C17C23×C414yes—
284C2×C4×C17C23×C411yescharacteristic
285C2×C4×C17C23×C411yescharacteristic
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—41no—
289C2×Dic17C23×C414yes—
290C2×Dic17C23×C414yes—
291C2×Dic17C23×C411yescharacteristic
292C2×Dic17C23×C411yescharacteristic
293C2×Dic17C23×C411yescharacteristic
294C2×Dic17C23×C411yescharacteristic
295C2×Dic17C23×C411yescharacteristic
296C2×Dic17C23×C411yescharacteristic
297C4×D17—28no—
298C4×D17—22no—
299C4×D17—22no—
300C4×D17—22no—
301C4×D17—28no—
302C4×D17—22no—
303C4×D17—22no—
304C4×D17—22no—
305C4×D17—22no—
306C4×D17—22no—
307C4×D17—41no—
308C4×D17—41no—
309C4×D17C2×#4114yes—
310C4×D172−1+414yes—
311Dic34—24no—
312Dic34—28no—
313Dic34—44no—
314Dic34—42no—
315C2×#533—171no—
316#2336—174no—
317#2332—174no—
318#2331—172no—
319#2327—172no—
320#2323—174no—
321#2298—174no—
322#2295—172no—
323#2295—174no—
324#2283—171no—
325C42×Q8—172no—
326C4×#117—171no—
327C22×C17—21no—
328C22×C17—21no—
329C22×C17—21no—
330C22×C17C24×C411yescharacteristic
331C2×D17—21no—
332C2×D17—21no—
333C2×D17—21no—
334C2×D17—44no—
335C2×D17C22×#4112yes—
336C2×D17C2×2−1+412yes—
337C2×D17#58512yes—
338#595—28no—
339#595—48no—
340#595—44no—
341C4×C17—24no—
342C4×C17—21no—
343C4×C17—21no—
344C4×C17—21no—
345C4×C17—24no—
346C4×C17—21no—
347C4×C17C4×#4112yes—
348C4×C17#51912yes—
349Dic17—24no—
350Dic17—21no—
351Dic17—21no—
352Dic17—21no—
353Dic17—24no—
354Dic17—21no—
355Dic17C4×#4112yes—
356Dic17#51912yes—
357#533—171no—
358#533—171no—
359#533—172no—
360#533—172no—
361#533—172no—
362#533—172no—
363#533—172no—
364#533—172no—
365#533—171no—
366#533#59511yescharacteristic, complemented
367C2×C4⋊Q8—171no—
368C2×C4⋊Q8—171no—
369C2×#125—172no—
370C2×C22⋊Q8—172no—
371C2×C22⋊Q8—172no—
372C2×C4×Q8—172no—
373C2×C4×Q8—172no—
374C2×C4×Q8—174no—
375C2×#117—172no—
376C2×#117—172no—
377C22×C42—171no—
378#391—174no—
379#391—178no—
380#389—174no—
381#389—178no—
382#388—178no—
383#388—178no—
384#387—178no—
385#387—178no—
386#387—178no—
387#387—178no—
388#387—178no—
389#383—172no—
390#382—172no—
391#381—172no—
392#380—172no—
393C4×C4⋊C4—174no—
394C4×C4⋊C4—178no—
395C4×C4⋊C4—172no—
396C4×C4⋊C4—172no—
397C4×C4⋊C4—172no—
398C4×C4⋊C4—174no—
399C4×C4⋊C4—174no—
400C4×C22⋊C4—172no—
401C4×C22⋊C4—172no—
402C4×C22⋊C4—172no—
403#376—172no—
404#376—172no—
405#376—174no—
406C43—171no—
407C43—171no—
408C43—174no—
409C2×C17—41no—
410C2×C17C2×C4×#4111yescharacteristic
411C2×C17C2×#51911yescharacteristic
412C2×C17#342811yescharacteristic
413D17—41no—
414D17#346114yes—
415C22×Q8—172no—
416C22×Q8—172no—
417C23×C4—171no—
418C23×C4—171no—
419C23×C4—171no—
420C4⋊Q8—172no—
421C4⋊Q8—172no—
422C4⋊Q8—172no—
423C4⋊Q8—172no—
424C4⋊Q8—172no—
425C4⋊Q8—172no—
426C4⋊Q8—171no—
427C4⋊Q8—171no—
428C4⋊Q8C2×#59511yescharacteristic
429C4⋊Q8C2×#59511yescharacteristic
430#125—174no—
431#125—174no—
432#125—172no—
433#125—172no—
434#125—172no—
435#125C2×#59512yes—
436C22⋊Q8—172no—
437C22⋊Q8—172no—
438C22⋊Q8—172no—
439C22⋊Q8—172no—
440C22⋊Q8—174no—
441C22⋊Q8—174no—
442C22⋊Q8—172no—
443C22⋊Q8—172no—
444C22⋊Q8—174no—
445C22⋊Q8—174no—
446C22⋊Q8C2×#59512yes—
447C22⋊Q8C2×#59512yes—
448C4×Q8—172no—
449C4×Q8—172no—
450C4×Q8—172no—
451C4×Q8—172no—
452C4×Q8—174no—
453C4×Q8—174no—
454C4×Q8—174no—
455C4×Q8—174no—
456C4×Q8—172no—
457C4×Q8—172no—
458C4×Q8—3416no—
459C4×Q8C2×#59512yes—
460C4×Q8C2×#59512yes—
461#117—172no—
462#117—172no—
463#117—172no—
464#117—174no—
465#117—174no—
466#117—348no—
467#117C2×#59512yes—
468C2×C4⋊C4—172no—
469C2×C4⋊C4—172no—
470C2×C4⋊C4—174no—
471C2×C4⋊C4—174no—
472C2×C4⋊C4—172no—
473C2×C4⋊C4—172no—
474C2×C4⋊C4—174no—
475C2×C4⋊C4—174no—
476C2×C4⋊C4—178no—
477C2×C4⋊C4—178no—
478C2×C22⋊C4—174no—
479C2×C22⋊C4—174no—
480C2×C22⋊C4—174no—
481C2×C42—172no—
482C2×C42—171no—
483C2×C42—171no—
484C2×C42—171no—
485C2×C42—174no—
486C2×C42—171no—
487C2×C42—171no—
488C2×C42—171no—
489C2×C42—171no—
490C2×C42—171no—
491C2×C42—171no—
492C2×C42—171no—
493C2×C42—171no—
494C2×C42—172no—
495C2×C42—178no—
496C2×C42—172no—
497C2×C42—172no—
498C2×C42—174no—
499C2×C42—172no—
500C2×C42—172no—
501C2×C42—178no—
502C2×C42C2×#59511yescharacteristic
503#95—174no—
504#95—174no—
505#95—174no—
506#95—174no—
507#95—178no—
508#95—178no—
509#95—174no—
510#95—174no—
511#95—178no—
512#95—178no—
513C17#3408511yescharacteristic, complemented, Sylow
514C24—171no—
515C2×Q8—174no—
516C2×Q8—172no—
517C2×Q8—174no—
518C2×Q8—172no—
519C2×Q8—348no—
520C2×Q8—684no—
521C2×Q8C22×#59512yes—
522C2×Q8C22×#59512yes—
523C22×C4—171no—
524C22×C4—171no—
525C22×C4—174no—
526C22×C4—171no—
527C22×C4—171no—
528C22×C4—171no—
529C22×C4—171no—
530C22×C4—171no—
531C22×C4—171no—
532C22×C4—171no—
533C22×C4—171no—
534C22×C4—171no—
535C22×C4—174no—
536C22×C4—174no—
537C22×C4—171no—
538C22×C4—171no—
539C22×C4—171no—
540C22×C4—171no—
541C22×C4—174no—
542C22×C4—178no—
543C22×C4—344no—
544C22×C4—344no—
545C22×C4—682no—
546C22×C4C22×#59511yescharacteristic
547C22×C4C22×#59511yescharacteristic
548C22×C4C22×#59511yescharacteristic
549C4⋊C4—174no—
550C4⋊C4—174no—
551C4⋊C4—172no—
552C4⋊C4—172no—
553C4⋊C4—174no—
554C4⋊C4—174no—
555C4⋊C4—174no—
556C4⋊C4—174no—
557C4⋊C4—174no—
558C4⋊C4—174no—
559C4⋊C4—174no—
560C4⋊C4—174no—
561C4⋊C4—172no—
562C4⋊C4—172no—
563C4⋊C4—348no—
564C4⋊C4—348no—
565C4⋊C4—3416no—
566C4⋊C4—688no—
567C4⋊C4C22×#59512yes—
568C4⋊C4C22×#59512yes—
569C4⋊C4C22×#59514yes—
570C4⋊C4C22×#59514yes—
571C4⋊C4C22×#59512yes—
572C4⋊C4C22×#59512yes—
573C22⋊C4—174no—
574C22⋊C4—174no—
575C22⋊C4—174no—
576C22⋊C4—348no—
577C22⋊C4—684no—
578C22⋊C4C22×#59514yes—
579C42—178no—
580C42—171no—
581C42—171no—
582C42—171no—
583C42—171no—
584C42—171no—
585C42—171no—
586C42—171no—
587C42—171no—
588C42—171no—
589C42—171no—
590C42—174no—
591C42—174no—
592C42—171no—
593C42—171no—
594C42—174no—
595C42—344no—
596C42—344no—
597C42—348no—
598C42—344no—
599C42—3416no—
600C42—682no—
601C42—682no—
602C42—688no—
603C42C22×#59511yescharacteristic
604C42C22×#59511yescharacteristic
605C42C22×#59511yescharacteristic
606C42C22×#59511yescharacteristic
607C42C22×#59514yes—
608C23—171no—
609C23—171no—
610C23—342no—
611C23—342no—
612C23—342no—
613C23C23×#59511yescharacteristic
614Q8—24no—
615Q8—42no—
616Q8—348no—
617Q8—344no—
618Q8—682no—
619Q8—684no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—41no—
623C2×C4—171no—
624C2×C4—171no—
625C2×C4—174no—
626C2×C4—174no—
627C2×C4—178no—
628C2×C4—171no—
629C2×C4—171no—
630C2×C4—171no—
631C2×C4—171no—
632C2×C4—174no—
633C2×C4—174no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—348no—
637C2×C4—342no—
638C2×C4—348no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—344no—
645C2×C4—344no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—344no—
649C2×C4—348no—
650C2×C4—344no—
651C2×C4—348no—
652C2×C4—348no—
653C2×C4—344no—
654C2×C4—681no—
655C2×C4—681no—
656C2×C4—681no—
657C2×C4C23×#59511yescharacteristic
658C2×C4C23×#59511yescharacteristic
659C2×C4C23×#59511yescharacteristic
660C2×C4C23×#59511yescharacteristic
661C2×C4C23×#59514yes—
662C2×C4C23×#59514yes—
663C2×C4C23×#59511yescharacteristic
664C2×C4C23×#59511yescharacteristic
665C22—21no—
666C22—21no—
667C22—21no—
668C22—172no—
669C22—172no—
670C22—172no—
671C22—341no—
672C22—341no—
673C22—341no—
674C22—684no—
675C22C24×#59511yescharacteristic
676C4—21no—
677C4—24no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—24no—
682C4—172no—
683C4—172no—
684C4—348no—
685C4—341no—
686C4—344no—
687C4—341no—
688C4—341no—
689C4—341no—
690C4—344no—
691C4—684no—
692C4—688no—
693C4#41×#59512yes—
694C4#1176387712yes—
695C2—41no—
696C2—174no—
697C2—681no—
698C2C2×#41×#59511yescharacteristic
699C2C2×#1176387711yescharacteristic
700C2#1454576411yescharacteristic
subgroupG/H
centerC2×C4C23×#595
commutator, socleC22×C17C24×C4
FrattiniC22C24×#595
FittingC17×#533C4
prime radicalC23×D17C24
cosocleC22×D17C25
hypercenter#533#595
hypocenterC17#34085
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #533

Complements

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

NH ≅ G/Ntype
1. #14545284C2semidirect
3. #14545279C2semidirect
4. #14545275C2semidirect
7. #14545243C2semidirect
8. #14545243C2semidirect
10. C4×Q8×#595C2semidirect
46. #11763366C4semidirect
47. #11763365C4semidirect
48. #11763364C4semidirect
49. #11763364C4semidirect
50. #11763363C4semidirect
51. #11763363C4semidirect
52. #11763362C4semidirect
53. #11763361C4semidirect
54. #11763361C4semidirect
64. C17×#533C4semidirect
366. #533#595semidirect
513. C17#34085semidirect

Maximal subgroups

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

subgroupindex
#145452842
#145452802
#145452792
#145452752
#145452712
#145452462
#145452432
#145452312
C4×Q8×#5952
C4×#105876772
D17×#5332
#3408517