Finite Group Databasebeta

← #3518×D83 #36312664

Subgroups — #3518×D83 #36312664

Order 21248.

7118 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921481C211yesmaximal, characteristic, complemented
2#24921480C211yesmaximal, characteristic, complemented
3#24921479C213yesmaximal, complemented
4#24921478C213yesmaximal, complemented
5#24921477C213yesmaximal, complemented
6#24921476C216yesmaximal, complemented
7#24921475C211yesmaximal, characteristic, complemented
8#24921474C212yesmaximal, complemented
9#24921473C216yesmaximal, complemented
10#24921472C213yesmaximal, complemented
11#24921471C212yesmaximal, complemented
12Q82×D83C211yesmaximal, characteristic, complemented
13#556×D83C216yesmaximal, complemented
14#556×D83C213yesmaximal, complemented
15#555×D83C213yesmaximal, complemented
16D4×Q8×D83C211yesmaximal, characteristic, complemented
17#548×D83C212yesmaximal, complemented
18#542×D83C216yesmaximal, complemented
19#533×D83C213yesmaximal, complemented
20#529×D83C213yesmaximal, complemented
21#519×D83C212yesmaximal, complemented
22C4×#41×D83C211yesmaximal, characteristic, complemented
23C83×#3518C211yesmaximal, characteristic, complemented
24C2×#41×D83C2211yescharacteristic
25C22×Q8×D83C2212yes—
26Q8×Dic166C2212yescomplemented
27Q8×Dic166C2211yescharacteristic, complemented
28Q8×Dic166C2213yescomplemented
29#19128431C2213yescomplemented
30#19128431C2216yescomplemented
31#19128425C2213yescomplemented
32#19128425C2216yescomplemented
33#19128424C2216yescomplemented
34#19128424C2213yescomplemented
35#19128423C22112yescomplemented
36#19128423C2216yescomplemented
37#19128422C2216yescomplemented
38#19128422C2216yescomplemented
39#19128422C2216yescomplemented
40#19128421C2216yescomplemented
41#19128421C2213yescomplemented
42#19128420C2216yescomplemented
43#19128420C22112yescomplemented
44#19128419C2216yescomplemented
45#19128419C2216yescomplemented
46#19128419C2216yescomplemented
47#19128418C22112yescomplemented
48#19128418C22112yescomplemented
49#19128418C22112yescomplemented
50#19128417C2213yescomplemented
51#19128416C2213yescomplemented
52#19128416C2213yescomplemented
53#19128415C2216yescomplemented
54#19128415C2216yescomplemented
55#19128414C2216yescomplemented
56#19128414C2216yescomplemented
57#19128413C22112yescomplemented
58Q8×D332C2211yescharacteristic, complemented
59D4×Dic166C2213yescomplemented
60#19128366C2213yescomplemented
61Q8×C22⋊D83C2212yescomplemented
62#19128364C2216yescomplemented
63#19128363C2212yescomplemented
64#19128362C2212yescomplemented
65#19128361C2216yescomplemented
66#19128360C2216yescomplemented
67#19128359C2216yescomplemented
68#19128358C2212yescomplemented
69#19128357C2216yescomplemented
70#19128325C2216yescomplemented
71#19128324C2216yescomplemented
72#19128323C2216yescomplemented
73#19128322C2216yescomplemented
74#19128321C22112yescomplemented
75#19128320C2216yescomplemented
76#19128319C22112yescomplemented
77#19128318C2216yescomplemented
78#19128317C22112yescomplemented
79#19128316C2216yescomplemented
80#19128315C22112yescomplemented
81#19128258C2213yescomplemented
82#19128257C2216yescomplemented
83#19128256C2213yescomplemented
84#19128256C2213yescomplemented
85#19128255C2216yescomplemented
86#19128255C2216yescomplemented
87#19128254C2216yescomplemented
88#19128253C2216yescomplemented
89#19128253C2216yescomplemented
90C4⋊Q8×D83C2216yes—
91C4⋊Q8×D83C2213yes—
92C4⋊Q8×D83C2213yes—
93#19128238C2213yescomplemented
94#19128237C2213yescomplemented
95#19128236C2213yescomplemented
96#19128235C2213yescomplemented
97#19128234C2216yescomplemented
98#19128233C2213yescomplemented
99#19128232C2213yescomplemented
100#19128231C2216yescomplemented
101#19128230C2213yescomplemented
102#19128229C2216yescomplemented
103#19128228C2216yescomplemented
104#126×D83C22112yes—
105#126×D83C2216yes—
106#125×D83C2213yes—
107#124×D83C2216yes—
108#124×D83C22112yes—
109#124×D83C2211yescharacteristic
110#123×D83C2216yes—
111C22⋊Q8×D83C2216yes—
112C22⋊Q8×D83C2216yes—
113C22⋊Q8×D83C2216yes—
114C22⋊Q8×D83C2213yes—
115#121×D83C2216yes—
116#121×D83C2213yes—
117#19128179C2212yescomplemented
118#19128178C2216yescomplemented
119#19128178C2216yescomplemented
120#19128177C2212yescomplemented
121#19128177C2216yescomplemented
122#19128177C2216yescomplemented
123#19128177C2212yescomplemented
124#41×Dic83C2211yescharacteristic, complemented
125C4×#13050591C2211yescharacteristic, complemented
126C4×#13050591C2211yescharacteristic, complemented
127C4×#13050590C2213yescomplemented
128#19128169C2213yescomplemented
129C4×#13050589C2213yescomplemented
130C4×#13050589C2213yescomplemented
131C4×Q8×D83C2216yes—
132C4×Q8×D83C2211yescharacteristic
133C4×Q8×D83C2211yescharacteristic
134C4×Q8×D83C2212yes—
135C4×Q8×D83C2216yes—
136C4×Q8×D83C2213yes—
137C4×Q8×D83C2216yes—
138C4×D4×D83C2213yes—
139C4×D4×D83C2213yes—
140C4×D4×D83C2216yes—
141C4×D4×D83C2213yes—
142#117×D83C2216yes—
143#117×D83C2213yes—
144#117×D83C2216yes—
145#117×D83C2216yes—
146C2×C42×D83C2213yes—
147Q82×C83C2211yescharacteristic, complemented
148#556×C83C2216yescomplemented
149#556×C83C2213yescomplemented
150#555×C83C2213yescomplemented
151D4×Q8×C83C2211yescharacteristic, complemented
152#548×C83C2212yescomplemented
153#542×C83C2216yescomplemented
154#533×C83C2213yescomplemented
155#529×C83C2213yescomplemented
156#519×C83C2212yescomplemented
157C4×#41×C83C2211yescharacteristic, complemented
158C2×#13050591C2311yescharacteristic
159C2×#13050590C2313yes—
160C2×#13050589C2313yes—
161#41×D83—28no—
162C22×Dic166C2316yes—
163C2×Q8×D83—216no—
164C2×Q8×D83C2312yes—
165C2×Q8×D83C2316yes—
166C2×Q8×D83C2311yescharacteristic
167C2×Q8×D83C2316yes—
168C2×Q8×D83C2316yes—
169C2×Q8×D83C2311yescharacteristic
170C2×D4×D83C2311yescharacteristic
171C2×D4×D83C2313yes—
172C2×D4×D83C2316yes—
173C22×C4×D83C2313yes—
174C22×C4×D83C2313yes—
175C22×C4×D83C2316yes—
176C22×C4×D83C2313yes—
177#14581792C2316yes—
178#14581792C2313yes—
179#14581792C2313yes—
180#14581791C2316yes—
181#14581791C2316yes—
182#14581791C2316yes—
183#14581791C2316yes—
184#14581791C2316yes—
185#14581791C2316yes—
186#14581791C23112yes—
187#14581790C23112yes—
188#14581790C2316yes—
189#14581790C2316yes—
190#14581787C23112yes—
191#14581787C23112yes—
192#14581787C23112yes—
193#14581787C2316yes—
194#14581787C2316yes—
195#14581787C2316yes—
196#14581786C23112yes—
197#14581786C2316yes—
198#14581785C23112yes—
199#14581785C23112yes—
200#14581785C2316yes—
201#14581785C23112yes—
202#14581785C2316yes—
203#14581785C2316yes—
204#14581784C2313yes—
205#14581783C2313yes—
206#14581783C2313yes—
207#14581782C2316yes—
208#14581782C2316yes—
209#14581781C23112yes—
210#14581781C2316yes—
211#14581781C2311yescharacteristic
212#14581780C2316yes—
213#14581780C23112yes—
214#14581780C2311yescharacteristic
215#14581779C2316yes—
216#14581779C23112yes—
217#14581779C2311yescharacteristic
218#14581778C23112yes—
219#14581778C23112yes—
220#14581778C23112yes—
221#14581778C23112yes—
222#14581778C23112yes—
223#14581778C23112yes—
224#14581778C2312yes—
225#14581778C2312yes—
226#14581777C2316yes—
227#14581777C2316yes—
228#14581776C2316yes—
229#14581775C2316yes—
230#14581774C2316yes—
231#14581774C2316yes—
232#14581773C2316yes—
233#14581772C2316yes—
234#14581772C2316yes—
235#14581772C2316yes—
236#14581772C2313yes—
237#14581771C2316yes—
238#14581771C2316yes—
239#14581771C2313yes—
240#14581771C2316yes—
241#14581770C23112yes—
242#14581770C23112yes—
243#14581770C23112yes—
244#14581770C2316yes—
245#14581769C23112yes—
246#14581769C23112yes—
247#14581769C23112yes—
248#14581769C2316yes—
249#14581768C2316yes—
250#14581768C2316yes—
251#14581768C2316yes—
252#14581768C2313yes—
253#14581767C2316yes—
254#14581767C2313yes—
255#14581766C2316yes—
256#14581766C2313yes—
257#14581765C23112yes—
258#14581765C2316yes—
259#14581764C23112yes—
260#14581764C2316yes—
261#14581763C2316yes—
262#14581763C2313yes—
263Q8×Dic83C2316yes—
264Q8×Dic83C2312yes—
265Q8×Dic83C2311yescharacteristic
266Q8×Dic83C2316yes—
267Q8×Dic83C2316yes—
268Q8×Dic83C2313yes—
269Q8×Dic83C2311yescharacteristic
270C4×Dic166C2316yes—
271C4×Dic166C2316yes—
272C4×Dic166C2313yes—
273C4×Dic166C2316yes—
274C4×Dic166C23112yes—
275C4×Dic166C23112yes—
276C4×Dic166C2316yes—
277C4×Dic166C2316yes—
278C4×Dic166C2313yes—
279C4×Dic166C2313yes—
280C4×Dic166C23112yes—
281#14581757C23112yes—
282#14581757C2316yes—
283#14581757C2316yes—
284#14581757C2313yes—
285#14581757C23112yes—
286#14581757C2316yes—
287#14581757C2316yes—
288#14581757C23112yes—
289#14581757C2316yes—
290#14581757C2313yes—
291#14581757C2313yes—
292C4×D332C2313yes—
293C4×D332C2316yes—
294C4×D332C2313yes—
295C4×D332C2313yes—
296D4×Dic83C2313yes—
297D4×Dic83C2316yes—
298D4×Dic83C2313yes—
299D4×Dic83C2313yes—
300#14581754C2313yes—
301#14581754C2316yes—
302#14581754C2313yes—
303#14581754C2313yes—
304C4×C22⋊D83C2316yes—
305C4×C22⋊D83C2316yes—
306C4×C22⋊D83C2316yes—
307C4×C22⋊D83C2316yes—
308C4×C22⋊D83C2316yes—
309(C22⋊D83)⋊C4C2316yes—
310(C22⋊D83)⋊C4C2316yes—
311(C22⋊D83)⋊C4C2316yes—
312(C22⋊D83)⋊C4C2316yes—
313(C22⋊D83)⋊C4C2316yes—
314#14581751C2316yes—
315#14581751C2316yes—
316#14581751C2316yes—
317#14581751C2313yes—
318#14581750C2316yes—
319#14581750C2316yes—
320#14581750C2316yes—
321#14581750C2316yes—
322#14581750C2316yes—
323#14581750C2313yes—
324#14581750C2313yes—
325#14581750C2316yes—
326#14581749C2316yes—
327#14581749C2316yes—
328#14581749C23112yes—
329#14581749C23112yes—
330#14581749C2316yes—
331#14581748C23112yes—
332#14581748C23112yes—
333#14581748C2316yes—
334#14581748C2316yes—
335#14581748C2316yes—
336C4⋊C4×D83C2313yes—
337C4⋊C4×D83C2313yes—
338C4⋊C4×D83C2313yes—
339C4⋊C4×D83C2313yes—
340C4⋊C4×D83C2316yes—
341C4⋊C4×D83C2316yes—
342C4⋊C4×D83C2316yes—
343C4⋊C4×D83C2316yes—
344C4⋊C4×D83C2316yes—
345C4⋊C4×D83C2316yes—
346C22⋊C4×D83C2316yes—
347C22⋊C4×D83C2312yes—
348C22⋊C4×D83C2316yes—
349C22⋊C4×D83C23112yes—
350C22⋊C4×D83C2312yes—
351C22⋊C4×D83C2316yes—
352C22⋊C4×D83C2316yes—
353C2×C4×Dic83C2313yes—
354C2×C4×Dic83C2313yes—
355C2×C4×Dic83C2313yes—
356C42×D83C2311yescharacteristic
357C42×D83C2313yes—
358C42×D83C2313yes—
359C42×D83C2313yes—
360C42×D83C2313yes—
361C42×D83C2313yes—
362C42×D83C2313yes—
363C42×D83C2313yes—
364C42×D83C23112yes—
365C42×D83C2316yes—
366C2×#41×C83C2311yescharacteristic
367C22×Q8×C83C2312yes—
368C4⋊Q8×C83C2316yes—
369C4⋊Q8×C83C2313yes—
370C4⋊Q8×C83C2313yes—
371#126×C83C2316yes—
372#126×C83C23112yes—
373#125×C83C2313yes—
374#124×C83C2316yes—
375#124×C83C2311yescharacteristic
376#124×C83C23112yes—
377#123×C83C2316yes—
378C22⋊Q8×C83C2316yes—
379C22⋊Q8×C83C2316yes—
380C22⋊Q8×C83C2316yes—
381C22⋊Q8×C83C2313yes—
382#121×C83C2316yes—
383#121×C83C2313yes—
384C4×Q8×C83C2316yes—
385C4×Q8×C83C2312yes—
386C4×Q8×C83C2311yescharacteristic
387C4×Q8×C83C2311yescharacteristic
388C4×Q8×C83C2316yes—
389C4×Q8×C83C2313yes—
390C4×Q8×C83C2316yes—
391C4×D4×C83C2316yes—
392C4×D4×C83C2313yes—
393C4×D4×C83C2313yes—
394C4×D4×C83C2313yes—
395#117×C83C2316yes—
396#117×C83C2313yes—
397#117×C83C2316yes—
398#117×C83C2316yes—
399C2×C42×C83C2313yes—
400C23×D83C2412yes—
401C23×D83C2413yes—
402#13050591—24no—
403#13050590—212no—
404#13050589—212no—
405C2×Dic166—224no—
406C2×Dic166C2412yes—
407C2×Dic166C24112yes—
408C2×Dic166C2411yescharacteristic
409C2×Dic166C2416yes—
410C2×Dic166C24112yes—
411C2×Dic166C2416yes—
412C2×Dic166C2413yes—
413Q8×D83—28no—
414Q8×D83—224no—
415Q8×D83—24no—
416Q8×D83—224no—
417Q8×D83—412no—
418Q8×D83#4118yes—
419C2×D332C2411yescharacteristic
420C2×D332C2413yes—
421C2×D332C2416yes—
422C2×C22⋊D83C2412yes—
423C2×C22⋊D83C2416yes—
424C2×C22⋊D83C2416yes—
425C2×C22⋊D83C2416yes—
426D4×D83—212no—
427D4×D83—24no—
428D4×D83—412no—
429C22×Dic83C2416yes—
430C22×Dic83C2413yes—
431C22×Dic83C2413yes—
432C22×Dic83C2413yes—
433C2×C4×D83—224no—
434C2×C4×D83—212no—
435C2×C4×D83—212no—
436C2×C4×D83—46no—
437C2×C4×D83C2416yes—
438C2×C4×D83C2413yes—
439C2×C4×D83C2416yes—
440C2×C4×D83C2413yes—
441C2×C4×D83C2413yes—
442C2×C4×D83C2413yes—
443C2×C4×D83C2411yescharacteristic
444C2×C4×D83C2411yescharacteristic
445C2×C4×D83C2416yes—
446C2×C4×D83C2413yes—
447C2×C4×D83C2413yes—
448C2×C4×D83C2416yes—
449C2×C4×D83C2412yes—
450C2×C4×D83C2413yes—
451C2×C4×D83C2413yes—
452C2×C4×D83C2413yes—
453C2×C4×D83C2411yescharacteristic
454C4⋊Dic83C2416yes—
455C4⋊Dic83C2413yes—
456C4⋊Dic83C2413yes—
457C4⋊Dic83C2416yes—
458C4⋊Dic83C2413yes—
459C4⋊Dic83C2416yes—
460C4⋊Dic83C2416yes—
461C4⋊Dic83C2416yes—
462C4⋊Dic83C2416yes—
463C4⋊Dic83C2413yes—
464Dic83⋊C4C24112yes—
465Dic83⋊C4C2416yes—
466Dic83⋊C4C2416yes—
467Dic83⋊C4C2416yes—
468Dic83⋊C4C24112yes—
469Dic83⋊C4C2416yes—
470Dic83⋊C4C2416yes—
471Dic83⋊C4C2416yes—
472Dic83⋊C4C2416yes—
473Dic83⋊C4C2416yes—
474Dic83⋊C4C2416yes—
475Dic83⋊C4C2416yes—
476Dic83⋊C4C2416yes—
477Dic83⋊C4C2416yes—
478C22⋊Dic83C24112yes—
479C22⋊Dic83C2416yes—
480C22⋊Dic83C2416yes—
481C22⋊Dic83C2416yes—
482C22⋊Dic83C2412yes—
483C22⋊Dic83C2416yes—
484C22⋊Dic83C2412yes—
485(C2×D83)⋊C4C24112yes—
486(C2×D83)⋊C4C2416yes—
487(C2×D83)⋊C4C24112yes—
488(C2×D83)⋊C4C2416yes—
489(C2×D83)⋊C4C2416yes—
490(C2×D83)⋊C4C2416yes—
491(C2×D83)⋊C4C2416yes—
492(C2×D83)⋊C4C2416yes—
493(C2×D83)⋊C4C2412yes—
494(C2×D83)⋊C4C2412yes—
495(C2×D83)⋊C4C2416yes—
496(C2×D83)⋊C4C2416yes—
497(C2×D83)⋊C4C2412yes—
498(C2×D83)⋊C4C2412yes—
499C4×Dic83C2411yescharacteristic
500C4×Dic83C2411yescharacteristic
501C4×Dic83C24112yes—
502C4×Dic83C24112yes—
503C4×Dic83C2416yes—
504C4×Dic83C2416yes—
505C4×Dic83C2411yescharacteristic
506C4×Dic83C24112yes—
507C4×Dic83C2416yes—
508C4×Dic83C2413yes—
509C4×Dic83C2413yes—
510C4×Dic83C2413yes—
511C4×Dic83C2413yes—
512C4×Dic83C2413yes—
513C4×Dic83C2413yes—
514C4×Dic83C2413yes—
515C4×Dic83C2413yes—
516C4×Dic83C2413yes—
517#41×C83—24no—
518C2×Q8×C83—28no—
519C2×Q8×C83C2411yescharacteristic
520C2×Q8×C83C2416yes—
521C2×Q8×C83C2416yes—
522C2×Q8×C83C2411yescharacteristic
523C2×D4×C83C2411yescharacteristic
524C2×D4×C83C2413yes—
525C2×D4×C83C2416yes—
526C22×C4×C83C2416yes—
527C22×C4×C83C2413yes—
528C22×C4×C83C2413yes—
529C22×C4×C83C2413yes—
530C4⋊C4×C83C2416yes—
531C4⋊C4×C83C2413yes—
532C4⋊C4×C83C2416yes—
533C4⋊C4×C83C2416yes—
534C4⋊C4×C83C2416yes—
535C4⋊C4×C83C2416yes—
536C4⋊C4×C83C2413yes—
537C4⋊C4×C83C2413yes—
538C4⋊C4×C83C2416yes—
539C4⋊C4×C83C2413yes—
540C22⋊C4×C83C24112yes—
541C22⋊C4×C83C2416yes—
542C22⋊C4×C83C2416yes—
543C22⋊C4×C83C2416yes—
544C22⋊C4×C83C2412yes—
545C22⋊C4×C83C2416yes—
546C22⋊C4×C83C2412yes—
547C42×C83C2411yescharacteristic
548C42×C83C24112yes—
549C42×C83C2416yes—
550C42×C83C2413yes—
551C42×C83C2413yes—
552C42×C83C2413yes—
553C23×C83C2512yes—
554C23×C83C2513yes—
555C22×D83—24no—
556C22×D83—26no—
557C22×D83—26no—
558C22×D83—24no—
559C22×D83—26no—
560C22×D83—24no—
561C22×D83C2512yes—
562C22×D83C2513yes—
563C22×D83C2511yescharacteristic
564Q8×C83—212no—
565Q8×C83—22no—
566Q8×C83—46no—
567Q8×C83C2×#4114yes—
568D4×C83—26no—
569D4×C83—22no—
570D4×C83—46no—
571C2×C4×C83—212no—
572C2×C4×C83—26no—
573C2×C4×C83—26no—
574C2×C4×C83—43no—
575C2×C4×C83C2513yes—
576C2×C4×C83C2511yescharacteristic
577C2×C4×C83C2511yescharacteristic
578C2×C4×C83C2512yes—
579C2×C4×C83C2516yes—
580C2×C4×C83C2516yes—
581C2×C4×C83C2513yes—
582C2×C4×C83C2513yes—
583C2×C4×C83C2511yescharacteristic
584C22⋊D83—212no—
585C22⋊D83—24no—
586C22⋊D83—46no—
587C22⋊D83—46no—
588C2×Dic83—212no—
589C2×Dic83—26no—
590C2×Dic83—26no—
591C2×Dic83—43no—
592C2×Dic83C2513yes—
593C2×Dic83C2511yescharacteristic
594C2×Dic83C2511yescharacteristic
595C2×Dic83C2512yes—
596C2×Dic83C2516yes—
597C2×Dic83C2516yes—
598C2×Dic83C2513yes—
599C2×Dic83C2513yes—
600C2×Dic83C2511yescharacteristic
601D332—26no—
602D332—22no—
603D332—46no—
604C4×D83—22no—
605C4×D83—212no—
606C4×D83—26no—
607C4×D83—24no—
608C4×D83—22no—
609C4×D83—26no—
610C4×D83—212no—
611C4×D83—212no—
612C4×D83—26no—
613C4×D83—26no—
614C4×D83—212no—
615C4×D83—26no—
616C4×D83—26no—
617C4×D83—43no—
618C4×D83—43no—
619C4×D83C2×#41112yes—
620C4×D832−1+414yes—
621Dic166—212no—
622Dic166—22no—
623Dic166—224no—
624Dic166—24no—
625Dic166—412no—
626Dic166—46no—
627Dic166C2×#41112yes—
628C22×C83—22no—
629C22×C83—23no—
630C22×C83—23no—
631C22×C83—22no—
632C22×C83—23no—
633C22×C83—22no—
634C22×C83C2611yescharacteristic
635C2×D83—22no—
636C2×D83—23no—
637C2×D83—23no—
638C2×D83—22no—
639C2×D83—23no—
640C2×D83—22no—
641C2×D83—48no—
642C2×D83—412no—
643C2×D83C22×#4112yes—
644C2×D83C2×2−1+412yes—
645C2×D83#58512yes—
646C4×C83—26no—
647C4×C83—21no—
648C4×C83—22no—
649C4×C83—23no—
650C4×C83—23no—
651C4×C83—26no—
652C4×C83—21no—
653C4×C83C22×#4116yes—
654C4×C83C2×2−1+412yes—
655Dic83—26no—
656Dic83—21no—
657Dic83—22no—
658Dic83—23no—
659Dic83—23no—
660Dic83—26no—
661Dic83—21no—
662Dic83C22×#4116yes—
663Dic83C2×2−1+412yes—
664C2×#3518—831nomaximal, Sylow
665C2×C83—42no—
666C2×C83—43no—
667C2×C83C23×#4111yescharacteristic
668C2×C83C22×2−1+411yescharacteristic
669C2×C83C2×#58511yescharacteristic
670D83—42no—
671D83—43no—
672D83#351814yesdirect product factor
673#3518—831no—
674#3518—836no—
675#3518—833no—
676#3518—833no—
677#3518—831no—
678#3518—832no—
679#3518—836no—
680#3518—833no—
681#3518—833no—
682#3518—832no—
683#3518—831no—
684#3518D8311yescharacteristic, direct product factor
685C2×Q82—831no—
686C2×#556—836no—
687C2×#556—833no—
688C2×#555—833no—
689C2×D4×Q8—831no—
690C2×#548—832no—
691C2×#542—836no—
692C2×#533—833no—
693C2×#529—833no—
694C2×#519—832no—
695C2×C4×#41—831no—
696C83C2×#351811yescharacteristic, complemented, Sylow
697C22×#41—831no—
698C23×Q8—832no—
699Q82—836no—
700Q82—833no—
701Q82—832no—
702Q82—831no—
703Q82—833no—
704Q82C2×D8311yescharacteristic, complemented
705#556—836no—
706#556—833no—
707#556—8312no—
708#556—8312no—
709#556—8312no—
710#556—8312no—
711#556—836no—
712#556—836no—
713#556—836no—
714#556—836no—
715#556—8312no—
716#556—836no—
717#556—836no—
718#556—833no—
719#556—836no—
720#556—833no—
721#556—836no—
722#556—836no—
723#556—836no—
724#556C2×D8316yescomplemented
725#556C2×D8313yescomplemented
726#555—833no—
727#555—8312no—
728#555—836no—
729#555—836no—
730#555—833no—
731#555—833no—
732#555—836no—
733#555—836no—
734#555C2×D8313yescomplemented
735D4×Q8—832no—
736D4×Q8—833no—
737D4×Q8—836no—
738D4×Q8—831no—
739D4×Q8—833no—
740D4×Q8C2×D8311yescharacteristic, complemented
741#548—832no—
742#548—832no—
743#548—836no—
744#548—836no—
745#548—836no—
746#548—832no—
747#548—836no—
748#548C2×D8312yescomplemented
749#542—836no—
750#542—8312no—
751#542—836no—
752#542—8312no—
753#542—8312no—
754#542—8312no—
755#542—836no—
756#542—836no—
757#542—836no—
758#542—836no—
759#542—836no—
760#542C2×D8316yescomplemented
761#533—833no—
762#533—833no—
763#533—836no—
764#533—836no—
765#533—836no—
766#533—836no—
767#533—836no—
768#533—836no—
769#533—833no—
770#533C2×D8313yescomplemented
771C2×C4⋊Q8—833no—
772C2×C4⋊Q8—833no—
773C2×C4⋊Q8—836no—
774#529—836no—
775#529—833no—
776#529—833no—
777#529—836no—
778#529—833no—
779#529—833no—
780#529—833no—
781#529—836no—
782#529—833no—
783#529—836no—
784#529—833no—
785#529C2×D8313yescomplemented
786C2×#126—836no—
787C2×#126—8312no—
788C2×#125—833no—
789C2×#124—831no—
790C2×#124—836no—
791C2×#124—8312no—
792C2×#123—836no—
793C2×C22⋊Q8—833no—
794C2×C22⋊Q8—836no—
795C2×C22⋊Q8—836no—
796C2×C22⋊Q8—836no—
797C2×#121—833no—
798C2×#121—836no—
799#519—832no—
800#519—836no—
801#519—836no—
802#519—832no—
803#519—832no—
804#519—836no—
805#519—836no—
806#519C2×D8312yescomplemented
807C4×#41—831no—
808C4×#41—831no—
809C4×#41—831no—
810C4×#41—833no—
811C4×#41—833no—
812C4×#41—833no—
813C4×#41—833no—
814C4×#41C2×D8311yescharacteristic, complemented
815C2×C4×Q8—831no—
816C2×C4×Q8—831no—
817C2×C4×Q8—836no—
818C2×C4×Q8—832no—
819C2×C4×Q8—836no—
820C2×C4×Q8—833no—
821C2×C4×Q8—836no—
822C2×C4×D4—833no—
823C2×C4×D4—833no—
824C2×C4×D4—836no—
825C2×C4×D4—833no—
826C2×#117—833no—
827C2×#117—836no—
828C2×#117—836no—
829C2×#117—836no—
830C22×C42—833no—
831C2×#41—831no—
832C2×#41—833no—
833C2×#41—833no—
834C2×#41—1668no—
835C2×#41C22×D8311yescharacteristic
836C22×Q8—836no—
837C22×Q8—831no—
838C22×Q8—831no—
839C22×Q8—836no—
840C22×Q8—836no—
841C22×Q8—832no—
842C22×Q8—836no—
843C22×Q8—16616no—
844C22×Q8C22×D8312yes—
845C22×D4—836no—
846C22×D4—831no—
847C22×D4—833no—
848C23×C4—833no—
849C23×C4—836no—
850C23×C4—833no—
851C23×C4—833no—
852C4⋊Q8—836no—
853C4⋊Q8—836no—
854C4⋊Q8—8312no—
855C4⋊Q8—836no—
856C4⋊Q8—836no—
857C4⋊Q8—836no—
858C4⋊Q8—836no—
859C4⋊Q8—8312no—
860C4⋊Q8—836no—
861C4⋊Q8—836no—
862C4⋊Q8—833no—
863C4⋊Q8—833no—
864C4⋊Q8—836no—
865C4⋊Q8C22×D8313yes—
866C4⋊Q8C22×D8313yes—
867C4⋊Q8C22×D8316yes—
868#126—836no—
869#126—836no—
870#126—836no—
871#126—8312no—
872#126—8312no—
873#126—8312no—
874#126—836no—
875#126—836no—
876#126—836no—
877#126—8312no—
878#126—8312no—
879#126—8312no—
880#126—836no—
881#126—8312no—
882#126C22×D8316yes—
883#126C22×D83112yes—
884#125—836no—
885#125—836no—
886#125—833no—
887#125—833no—
888#125—833no—
889#125C22×D8313yes—
890#124—831no—
891#124—836no—
892#124—8312no—
893#124—831no—
894#124—836no—
895#124—8312no—
896#124—832no—
897#124—832no—
898#124—8312no—
899#124—8312no—
900#124—8312no—
901#124—8312no—
902#124—8312no—
903#124—8312no—
904#124—831no—
905#124—836no—
906#124—8312no—
907#124C22×D8311yescharacteristic
908#124C22×D8316yes—
909#124C22×D83112yes—
910#123—836no—
911#123—836no—
912#123—836no—
913#123—836no—
914#123—836no—
915#123—836no—
916#123—836no—
917#123C22×D8316yes—
918C22⋊Q8—833no—
919C22⋊Q8—836no—
920C22⋊Q8—836no—
921C22⋊Q8—836no—
922C22⋊Q8—833no—
923C22⋊Q8—836no—
924C22⋊Q8—836no—
925C22⋊Q8—836no—
926C22⋊Q8—836no—
927C22⋊Q8—8312no—
928C22⋊Q8—8312no—
929C22⋊Q8—8312no—
930C22⋊Q8—833no—
931C22⋊Q8—836no—
932C22⋊Q8—836no—
933C22⋊Q8—836no—
934C22⋊Q8—836no—
935C22⋊Q8—8312no—
936C22⋊Q8—8312no—
937C22⋊Q8—8312no—
938C22⋊Q8C22×D8313yes—
939C22⋊Q8C22×D8316yes—
940C22⋊Q8C22×D8316yes—
941C22⋊Q8C22×D8316yes—
942#121—833no—
943#121—836no—
944#121—836no—
945#121—8312no—
946#121—833no—
947#121—836no—
948#121—833no—
949#121—836no—
950#121—836no—
951#121—8312no—
952#121C22×D8313yes—
953#121C22×D8316yes—
954C4×Q8—831no—
955C4×Q8—831no—
956C4×Q8—836no—
957C4×Q8—832no—
958C4×Q8—836no—
959C4×Q8—833no—
960C4×Q8—836no—
961C4×Q8—833no—
962C4×Q8—833no—
963C4×Q8—8312no—
964C4×Q8—836no—
965C4×Q8—836no—
966C4×Q8—8312no—
967C4×Q8—836no—
968C4×Q8—836no—
969C4×Q8—833no—
970C4×Q8—836no—
971C4×Q8—8312no—
972C4×Q8—833no—
973C4×Q8—833no—
974C4×Q8—8312no—
975C4×Q8—836no—
976C4×Q8—836no—
977C4×Q8—836no—
978C4×Q8—8312no—
979C4×Q8—836no—
980C4×Q8—833no—
981C4×Q8—8312no—
982C4×Q8—836no—
983C4×Q8C22×D8311yescharacteristic
984C4×Q8C22×D8311yescharacteristic
985C4×Q8C22×D8316yes—
986C4×Q8C22×D8312yes—
987C4×Q8C22×D8316yes—
988C4×Q8C22×D8313yes—
989C4×Q8C22×D8316yes—
990C4×D4—833no—
991C4×D4—833no—
992C4×D4—836no—
993C4×D4—833no—
994C4×D4—836no—
995C4×D4—836no—
996C4×D4—836no—
997C4×D4—836no—
998C4×D4—836no—
999C4×D4—833no—
1000C4×D4—833no—
1001C4×D4—836no—
1002C4×D4—833no—
1003C4×D4—836no—
1004C4×D4—836no—
1005C4×D4—836no—
1006C4×D4—836no—
1007C4×D4—836no—
1008C4×D4—833no—
1009C4×D4—833no—
1010C4×D4—836no—
1011C4×D4—833no—
1012C4×D4C22×D8313yes—
1013C4×D4C22×D8313yes—
1014C4×D4C22×D8316yes—
1015C4×D4C22×D8313yes—
1016#117—833no—
1017#117—836no—
1018#117—836no—
1019#117—836no—
1020#117—833no—
1021#117—833no—
1022#117—836no—
1023#117—836no—
1024#117—836no—
1025#117—836no—
1026#117—836no—
1027#117—836no—
1028#117—836no—
1029#117—836no—
1030#117—836no—
1031#117—8312no—
1032#117—8312no—
1033#117—836no—
1034#117—836no—
1035#117—836no—
1036#117—8312no—
1037#117—8312no—
1038#117C22×D8313yes—
1039#117C22×D8316yes—
1040#117C22×D8316yes—
1041#117C22×D8316yes—
1042C2×C4⋊C4—833no—
1043C2×C4⋊C4—833no—
1044C2×C4⋊C4—833no—
1045C2×C4⋊C4—833no—
1046C2×C4⋊C4—836no—
1047C2×C4⋊C4—836no—
1048C2×C4⋊C4—836no—
1049C2×C4⋊C4—836no—
1050C2×C4⋊C4—836no—
1051C2×C4⋊C4—836no—
1052C2×C22⋊C4—836no—
1053C2×C22⋊C4—832no—
1054C2×C22⋊C4—836no—
1055C2×C22⋊C4—8312no—
1056C2×C22⋊C4—832no—
1057C2×C22⋊C4—836no—
1058C2×C22⋊C4—836no—
1059C2×C42—833no—
1060C2×C42—833no—
1061C2×C42—833no—
1062C2×C42—833no—
1063C2×C42—8312no—
1064C2×C42—833no—
1065C2×C42—836no—
1066C2×C42—833no—
1067C2×C42—833no—
1068C2×C42—833no—
1069C2×C42—833no—
1070C2×C42—833no—
1071C2×C42—831no—
1072C2×C42C22×D8313yes—
1073C24—833no—
1074C24—832no—
1075#41—24no—
1076#41—16612no—
1077#41—16612no—
1078#41—1664no—
1079C2×Q8—28no—
1080C2×Q8—33212no—
1081C2×Q8—838no—
1082C2×Q8—836no—
1083C2×Q8—8312no—
1084C2×Q8—833no—
1085C2×Q8—832no—
1086C2×Q8—831no—
1087C2×Q8—8312no—
1088C2×Q8—836no—
1089C2×Q8—16624no—
1090C2×Q8—16624no—
1091C2×Q8—1664no—
1092C2×Q8—16624no—
1093C2×Q8—1668no—
1094C2×Q8C23×D8311yescharacteristic
1095C2×Q8C23×D8316yes—
1096C2×Q8C23×D8316yes—
1097C2×Q8C23×D8311yescharacteristic
1098C2×D4—33212no—
1099C2×D4—836no—
1100C2×D4—836no—
1101C2×D4—832no—
1102C2×D4—836no—
1103C2×D4—836no—
1104C2×D4—831no—
1105C2×D4—833no—
1106C2×D4—16612no—
1107C2×D4—1664no—
1108C2×D4C23×D8311yescharacteristic
1109C2×D4C23×D8313yes—
1110C2×D4C23×D8316yes—
1111C22×C4—3326no—
1112C22×C4—833no—
1113C22×C4—833no—
1114C22×C4—833no—
1115C22×C4—831no—
1116C22×C4—833no—
1117C22×C4—833no—
1118C22×C4—833no—
1119C22×C4—836no—
1120C22×C4—833no—
1121C22×C4—831no—
1122C22×C4—831no—
1123C22×C4—832no—
1124C22×C4—836no—
1125C22×C4—833no—
1126C22×C4—836no—
1127C22×C4—833no—
1128C22×C4—833no—
1129C22×C4—833no—
1130C22×C4—833no—
1131C22×C4—836no—
1132C22×C4—836no—
1133C22×C4—16624no—
1134C22×C4—16612no—
1135C22×C4—16612no—
1136C22×C4C23×D8313yes—
1137C22×C4C23×D8313yes—
1138C22×C4C23×D8316yes—
1139C22×C4C23×D8313yes—
1140C4⋊C4—836no—
1141C4⋊C4—833no—
1142C4⋊C4—836no—
1143C4⋊C4—833no—
1144C4⋊C4—836no—
1145C4⋊C4—833no—
1146C4⋊C4—836no—
1147C4⋊C4—833no—
1148C4⋊C4—8312no—
1149C4⋊C4—836no—
1150C4⋊C4—836no—
1151C4⋊C4—836no—
1152C4⋊C4—836no—
1153C4⋊C4—836no—
1154C4⋊C4—836no—
1155C4⋊C4—836no—
1156C4⋊C4—836no—
1157C4⋊C4—836no—
1158C4⋊C4—836no—
1159C4⋊C4—8312no—
1160C4⋊C4—836no—
1161C4⋊C4—836no—
1162C4⋊C4—836no—
1163C4⋊C4—836no—
1164C4⋊C4C23×D8313yes—
1165C4⋊C4C23×D8313yes—
1166C4⋊C4C23×D8313yes—
1167C4⋊C4C23×D8313yes—
1168C4⋊C4C23×D8316yes—
1169C4⋊C4C23×D8316yes—
1170C4⋊C4C23×D8316yes—
1171C4⋊C4C23×D8316yes—
1172C4⋊C4C23×D8316yes—
1173C4⋊C4C23×D8316yes—
1174C22⋊C4—836no—
1175C22⋊C4—832no—
1176C22⋊C4—836no—
1177C22⋊C4—8312no—
1178C22⋊C4—832no—
1179C22⋊C4—836no—
1180C22⋊C4—836no—
1181C22⋊C4—836no—
1182C22⋊C4—836no—
1183C22⋊C4—832no—
1184C22⋊C4—832no—
1185C22⋊C4—836no—
1186C22⋊C4—836no—
1187C22⋊C4—8312no—
1188C22⋊C4—8312no—
1189C22⋊C4—832no—
1190C22⋊C4—832no—
1191C22⋊C4—836no—
1192C22⋊C4—836no—
1193C22⋊C4—836no—
1194C22⋊C4—836no—
1195C22⋊C4C23×D8316yes—
1196C22⋊C4C23×D8312yes—
1197C22⋊C4C23×D8316yes—
1198C22⋊C4C23×D83112yes—
1199C22⋊C4C23×D8312yes—
1200C22⋊C4C23×D8316yes—
1201C22⋊C4C23×D8316yes—
1202C42—831no—
1203C42—831no—
1204C42—831no—
1205C42—833no—
1206C42—833no—
1207C42—833no—
1208C42—833no—
1209C42—833no—
1210C42—833no—
1211C42—833no—
1212C42—833no—
1213C42—833no—
1214C42—8312no—
1215C42—8312no—
1216C42—8312no—
1217C42—836no—
1218C42—836no—
1219C42—836no—
1220C42C23×D8311yescharacteristic
1221C42C23×D8313yes—
1222C42C23×D8313yes—
1223C42C23×D8313yes—
1224C42C23×D83112yes—
1225C42C23×D8316yes—
1226C23—831no—
1227C23—832no—
1228C23—833no—
1229C23—1666no—
1230C23—1664no—
1231C23—1666no—
1232C23—1666no—
1233C23—1664no—
1234C23—1664no—
1235C23C24×D8312yes—
1236C23C24×D8313yes—
1237Q8—212no—
1238Q8—22no—
1239Q8—46no—
1240Q8—3326no—
1241Q8—33212no—
1242Q8—8312no—
1243Q8—16624no—
1244Q8—1664no—
1245Q8—16612no—
1246Q8—1662no—
1247Q8#41×D8314yes—
1248D4—26no—
1249D4—22no—
1250D4—46no—
1251D4—3326no—
1252D4—3326no—
1253D4—3326no—
1254D4—16612no—
1255D4—1664no—
1256D4—1666no—
1257D4—1662no—
1258C2×C4—212no—
1259C2×C4—26no—
1260C2×C4—26no—
1261C2×C4—43no—
1262C2×C4—3323no—
1263C2×C4—3323no—
1264C2×C4—3323no—
1265C2×C4—831no—
1266C2×C4—833no—
1267C2×C4—8312no—
1268C2×C4—834no—
1269C2×C4—833no—
1270C2×C4—831no—
1271C2×C4—831no—
1272C2×C4—832no—
1273C2×C4—836no—
1274C2×C4—836no—
1275C2×C4—833no—
1276C2×C4—16612no—
1277C2×C4—1666no—
1278C2×C4—1666no—
1279C2×C4—1662no—
1280C2×C4—1666no—
1281C2×C4—1662no—
1282C2×C4—16612no—
1283C2×C4—1666no—
1284C2×C4—16612no—
1285C2×C4—1664no—
1286C2×C4—16612no—
1287C2×C4—1666no—
1288C2×C4—1666no—
1289C2×C4—16612no—
1290C2×C4—1666no—
1291C2×C4—1666no—
1292C2×C4C24×D8313yes—
1293C2×C4C24×D8311yescharacteristic
1294C2×C4C24×D8311yescharacteristic
1295C2×C4C24×D8312yes—
1296C2×C4C24×D8316yes—
1297C2×C4C24×D8316yes—
1298C2×C4C24×D8313yes—
1299C2×C4C24×D8313yes—
1300C2×C4C24×D8311yescharacteristic
1301C22—22no—
1302C22—23no—
1303C22—23no—
1304C22—22no—
1305C22—23no—
1306C22—22no—
1307C22—33212no—
1308C22—3328no—
1309C22—832no—
1310C22—832no—
1311C22—832no—
1312C22—1662no—
1313C22—1663no—
1314C22—1663no—
1315C22—1662no—
1316C22—1663no—
1317C22—1662no—
1318C22C25×D8311yescharacteristic
1319C4—21no—
1320C4—26no—
1321C4—23no—
1322C4—22no—
1323C4—21no—
1324C4—23no—
1325C4—26no—
1326C4—836no—
1327C4—832no—
1328C4—1661no—
1329C4—1666no—
1330C4—1663no—
1331C4—1662no—
1332C4—1661no—
1333C4—1663no—
1334C4—1666no—
1335C4C2×#41×D8316yes—
1336C42−1+4×D8312yes—
1337C2—42no—
1338C2—43no—
1339C2—3322no—
1340C2—3323no—
1341C2—834no—
1342C2C22×#41×D8311yescharacteristic
1343C2C2×2−1+4×D8311yescharacteristic
1344C2#585×D8311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3518C2
hypercenter#3518D83
hypocenterC83C2×#3518
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #24921481C2semidirect
2. #24921480C2semidirect
3. #24921479C2semidirect
4. #24921478C2semidirect
5. #24921477C2semidirect
6. #24921476C2semidirect
7. #24921475C2semidirect
8. #24921474C2semidirect
9. #24921473C2semidirect
10. #24921472C2semidirect
11. #24921471C2semidirect
12. Q82×D83C2semidirect
13. #556×D83C2semidirect
14. #556×D83C2semidirect
15. #555×D83C2semidirect
16. D4×Q8×D83C2semidirect
17. #548×D83C2semidirect
18. #542×D83C2semidirect
19. #533×D83C2semidirect
20. #529×D83C2semidirect
21. #519×D83C2semidirect
22. C4×#41×D83C2semidirect
23. C83×#3518C2semidirect
26. Q8×Dic166C22semidirect
27. Q8×Dic166C22semidirect
28. Q8×Dic166C22semidirect
29. #19128431C22semidirect
30. #19128431C22semidirect
31. #19128425C22semidirect
32. #19128425C22semidirect
33. #19128424C22semidirect
34. #19128424C22semidirect
35. #19128423C22semidirect
36. #19128423C22semidirect
37. #19128422C22semidirect
38. #19128422C22semidirect
39. #19128422C22semidirect
40. #19128421C22semidirect
41. #19128421C22semidirect
42. #19128420C22semidirect
43. #19128420C22semidirect
44. #19128419C22semidirect
45. #19128419C22semidirect
46. #19128419C22semidirect
47. #19128418C22semidirect
48. #19128418C22semidirect
49. #19128418C22semidirect
50. #19128417C22semidirect
51. #19128416C22semidirect
52. #19128416C22semidirect
53. #19128415C22semidirect
54. #19128415C22semidirect
55. #19128414C22semidirect
56. #19128414C22semidirect
57. #19128413C22semidirect
58. Q8×D332C22semidirect
59. D4×Dic166C22semidirect
60. #19128366C22semidirect
61. Q8×C22⋊D83C22semidirect
62. #19128364C22semidirect
63. #19128363C22semidirect
64. #19128362C22semidirect
65. #19128361C22semidirect
66. #19128360C22semidirect
67. #19128359C22semidirect
68. #19128358C22semidirect
69. #19128357C22semidirect
70. #19128325C22semidirect
71. #19128324C22semidirect
72. #19128323C22semidirect
73. #19128322C22semidirect
74. #19128321C22semidirect
75. #19128320C22semidirect
76. #19128319C22semidirect
77. #19128318C22semidirect
78. #19128317C22semidirect
79. #19128316C22semidirect
80. #19128315C22semidirect
81. #19128258C22semidirect
82. #19128257C22semidirect
83. #19128256C22semidirect
84. #19128256C22semidirect
85. #19128255C22semidirect
86. #19128255C22semidirect
87. #19128254C22semidirect
88. #19128253C22semidirect
89. #19128253C22semidirect
93. #19128238C22semidirect
94. #19128237C22semidirect
95. #19128236C22semidirect
96. #19128235C22semidirect
97. #19128234C22semidirect
98. #19128233C22semidirect
99. #19128232C22semidirect
100. #19128231C22semidirect
101. #19128230C22semidirect
102. #19128229C22semidirect
103. #19128228C22semidirect
117. #19128179C22semidirect
118. #19128178C22semidirect
119. #19128178C22semidirect
120. #19128177C22semidirect
121. #19128177C22semidirect
122. #19128177C22semidirect
123. #19128177C22semidirect
124. #41×Dic83C22semidirect
125. C4×#13050591C22semidirect
126. C4×#13050591C22semidirect
127. C4×#13050590C22semidirect
128. #19128169C22semidirect
129. C4×#13050589C22semidirect
130. C4×#13050589C22semidirect
147. Q82×C83C22semidirect
148. #556×C83C22semidirect
149. #556×C83C22semidirect
150. #555×C83C22semidirect
151. D4×Q8×C83C22semidirect
152. #548×C83C22semidirect
153. #542×C83C22semidirect
154. #533×C83C22semidirect
155. #529×C83C22semidirect
156. #519×C83C22semidirect
157. C4×#41×C83C22semidirect
672. D83#3518direct (N × H)
684. #3518D83direct (N × H)
696. C83C2×#3518semidirect
704. Q82C2×D83semidirect
724. #556C2×D83semidirect
725. #556C2×D83semidirect
734. #555C2×D83semidirect
740. D4×Q8C2×D83semidirect
748. #548C2×D83semidirect
760. #542C2×D83semidirect
770. #533C2×D83semidirect
785. #529C2×D83semidirect
806. #519C2×D83semidirect
814. C4×#41C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249214812
#249214802
#249214792
#249214782
#249214772
#249214762
#249214752
#249214742
#249214732
#249214722
#249214712
Q82×D832
#556×D832
#555×D832
D4×Q8×D832
#548×D832
#542×D832
#533×D832
#529×D832
#519×D832
C4×#41×D832
C83×#35182
C2×#351883