Finite Group Databasebeta

← #28293282

Subgroups — #28293282

Order 13568.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288824C212yesmaximal, complemented
2#20288816C212yesmaximal, complemented
3#20288747C216yesmaximal, complemented
4#20288737C216yesmaximal, complemented
5#20288721C212yesmaximal, complemented
6#20288715C212yesmaximal, complemented
7#20288655C216yesmaximal, complemented
8#20288643C216yesmaximal, complemented
9#20288632C213yesmaximal, complemented
10#20288586C213yesmaximal, complemented
11#20288537C211yesmaximal, characteristic, complemented
12#20288489C211yesmaximal, characteristic, complemented
13#20288451C213yesmaximal, complemented
14#20288440C213yesmaximal, complemented
15#20288385C211yesmaximal, characteristic, complemented
16#20288377C211yesmaximal, characteristic, complemented
17#20288137C213yesmaximal, complemented
18#20288131C213yesmaximal, complemented
19#20288100C213yesmaximal, complemented
20C2×#16811224C213yesmaximal, complemented
21C4×#13133263C211yesmaximal, characteristic, complemented
22#20287914C211yesmaximal, characteristic, complemented
23C4×H(5,𝔽2)×C53C211yesmaximal, characteristic, complemented
24C2×#13133263C2211yescharacteristic
25C2×#41×D53C2211yescharacteristic
26#16811356C2216yescomplemented
27#16811356C2216yescomplemented
28#16811352C2212yescomplemented
29#16811349C2212yescomplemented
30#16811338C2216yescomplemented
31#16811336C2216yescomplemented
32#16811332C2216yescomplemented
33#16811330C2216yescomplemented
34#16811323C2216yescomplemented
35#16811323C2216yescomplemented
36#16811322C22112yescomplemented
37#16811321C2216yescomplemented
38#16811321C2216yescomplemented
39#16811319C22112yescomplemented
40#16811317C2216yescomplemented
41#16811317C2216yescomplemented
42#16811312C2216yescomplemented
43#16811308C2216yescomplemented
44#16811302C22112yescomplemented
45#16811299C22112yescomplemented
46#16811295C2212yescomplemented
47#16811294C2216yescomplemented
48#16811294C2216yescomplemented
49#16811292C2212yescomplemented
50#16811292C2212yescomplemented
51#16811292C2212yescomplemented
52#16811285C2212yescomplemented
53#16811280C2212yescomplemented
54#16811278C2216yescomplemented
55#16811274C2216yescomplemented
56#16811269C22112yescomplemented
57#16811268C2216yescomplemented
58#16811267C2216yescomplemented
59#16811263C22112yescomplemented
60#16811263C22112yescomplemented
61#16811263C22112yescomplemented
62D4×D212C2216yescomplemented
63D4×C22⋊D53C2216yescomplemented
64D4×C22⋊D53C2216yescomplemented
65D4×C22⋊D53C2216yescomplemented
66#16811254C2213yescomplemented
67#16811251C2213yescomplemented
68#16811245C2213yescomplemented
69#16811245C2213yescomplemented
70#16811244C2216yescomplemented
71#16811238C2216yescomplemented
72#16811238C2213yescomplemented
73#16811238C2213yescomplemented
74#16811231C2211yescharacteristic, complemented
75#16811231C2213yescomplemented
76#16811228C2216yescomplemented
77#16811224C2216yescomplemented
78#16811224C2216yescomplemented
79#16811224C2213yescomplemented
80#16811224C2216yescomplemented
81#16811224C2216yescomplemented
82#16811224C2216yescomplemented
83#16811224C2216yescomplemented
84#16811224C2216yescomplemented
85#16811224C2213yescomplemented
86#16811224C2216yescomplemented
87#16811215C2216yescomplemented
88#16811215C2216yescomplemented
89#16811211C22112yescomplemented
90#16811206C2216yescomplemented
91#16811206C2216yescomplemented
92#16811206C22112yescomplemented
93#16811204C2213yescomplemented
94#16811201C2213yescomplemented
95#16811192C2213yescomplemented
96#16811190C2213yescomplemented
97#16811190C2213yescomplemented
98#16811187C2213yescomplemented
99#16811176C2213yescomplemented
100#16811173C2216yescomplemented
101#16811170C2216yescomplemented
102#16811170C2216yescomplemented
103#16811170C2216yescomplemented
104#16811169C2213yescomplemented
105C2×#13133213C2213yescomplemented
106#16811160C2216yescomplemented
107#16811157C2216yescomplemented
108#16811157C2216yescomplemented
109#16811157C2216yescomplemented
110#16811155C2216yescomplemented
111#16811155C2216yescomplemented
112#16811151C2216yescomplemented
113#16811151C2216yescomplemented
114C2×#13133208C2213yescomplemented
115#16811135C2213yescomplemented
116#16811134C22112yescomplemented
117#16811132C22112yescomplemented
118#16811130C2213yescomplemented
119C2×#13133200C2216yescomplemented
120C2×#13133199C2216yescomplemented
121C2×#13133192C2213yescomplemented
122C2×#13133191C2216yescomplemented
123C2×#13133190C2216yescomplemented
124C2×#13133188C2213yescomplemented
125#16811106C2211yescharacteristic
126#16811105C2212yescomplemented
127#16811105C2211yescharacteristic, complemented
128#16811105C2211yescharacteristic, complemented
129#16811103C2213yescomplemented
130#16811102C2213yescomplemented
131#16811102C2213yescomplemented
132#16811099C2211yescharacteristic, complemented
133#16811099C2211yescharacteristic, complemented
134#16811097C2213yescomplemented
135#16811095C2216yescomplemented
136#16811095C2213yescomplemented
137#16811095C2213yescomplemented
138#41×Dic53C2211yescharacteristic
139C4×#11719949C2212yescomplemented
140C4×#11719945C2213yescomplemented
141C4×#11719945C2213yescomplemented
142#16811091C2213yescomplemented
143C2×C4×D212C2213yescomplemented
144C4×D4×D53C2216yescomplemented
145C2×#13133174C2213yescomplemented
146#117×D53C2213yescomplemented
147C2×H(5,𝔽2)×C53C2211yescharacteristic
148C53×#520C2211yescharacteristic
149C53×#520C2212yescomplemented
150C53×#520C2213yescomplemented
151C53×#518C2213yescomplemented
152C53×#518C2216yescomplemented
153C4×#41×C53C2211yescharacteristic
154C4×#41×C53C2212yescomplemented
155C4×#41×C53C2213yescomplemented
156C2×C4×D4×C53C2213yescomplemented
157C2×C4×D4×C53C2216yescomplemented
158#13133263—28no—
159C2×#11719949C2312yes—
160C2×#11719949C2311yescharacteristic
161C2×#11719945C2313yes—
162C2×#11719945C2313yes—
163C2×#11719945C23112yes—
164C2×#11719945C23112yes—
165C2×#11719947C2313yes—
166#41×D53—28no—
167C2×Q8×D53C2311yescharacteristic
168C22×D212C2313yes—
169C22×D212C2316yes—
170C22×C22⋊D53C2316yes—
171C22×C22⋊D53C2316yes—
172C22×C22⋊D53C2316yes—
173C2×D4×D53C2316yes—
174C2×D4×D53C2313yes—
175C22×C4×D53C2313yes—
176C22×C4×D53C2316yes—
177#13133217C2316yes—
178#13133216C2316yes—
179#13133216C2313yes—
180#13133216C2313yes—
181#13133215C2311yescharacteristic
182#13133214C2316yes—
183#13133213C2316yes—
184#13133213C2316yes—
185#13133213C2316yes—
186#13133213C2313yes—
187#13133213C2316yes—
188#13133212C23112yes—
189#13133212C2316yes—
190#13133212C2312yes—
191#13133211C2316yes—
192#13133211C2316yes—
193#13133211C2312yes—
194#13133211C2316yes—
195#13133210C2316yes—
196#13133210C23112yes—
197#13133210C2316yes—
198#13133209C2316yes—
199#13133209C2316yes—
200#13133209C2312yes—
201#13133208C2316yes—
202#13133208C2316yes—
203#13133208C2316yes—
204#13133208C2313yes—
205#13133208C2316yes—
206#13133208C2311yescharacteristic
207#13133207C2316yes—
208#13133207C2312yes—
209#13133206C2313yes—
210#13133205C2316yes—
211#13133205C2316yes—
212#13133205C2316yes—
213#13133204C2316yes—
214#13133204C2313yes—
215#13133203C23112yes—
216#13133203C23112yes—
217#13133203C2316yes—
218#13133203C2316yes—
219#13133202C2316yes—
220#13133202C23112yes—
221#13133202C2316yes—
222#13133201C2316yes—
223#13133200C23112yes—
224#13133200C23112yes—
225#13133200C2316yes—
226#13133200C2316yes—
227#13133200C2316yes—
228#13133200C23112yes—
229#13133200C2316yes—
230#13133199C23112yes—
231#13133199C23112yes—
232#13133199C23112yes—
233#13133199C2316yes—
234#13133199C2316yes—
235#13133199C23112yes—
236#13133198C2316yes—
237#13133197C2316yes—
238#13133197C2311yescharacteristic
239#13133197C2313yes—
240#13133196C2316yes—
241#13133196C23112yes—
242#13133196C2316yes—
243#13133196C2316yes—
244#13133195C2316yes—
245#13133195C2316yes—
246#13133194C23112yes—
247#13133194C2316yes—
248#13133194C2316yes—
249#13133193C2311yescharacteristic
250#13133193C2313yes—
251#13133192C2316yes—
252#13133192C2316yes—
253#13133192C2316yes—
254#13133192C2313yes—
255#13133192C2316yes—
256#13133192C2313yes—
257#13133191C23112yes—
258#13133191C23112yes—
259#13133191C2316yes—
260#13133191C2316yes—
261#13133191C2316yes—
262#13133191C2316yes—
263#13133191C23112yes—
264#13133191C2316yes—
265#13133191C23112yes—
266#13133190C23112yes—
267#13133190C23112yes—
268#13133190C2316yes—
269#13133190C23112yes—
270#13133190C23112yes—
271#13133190C2316yes—
272#13133190C23112yes—
273#13133189C23112yes—
274#13133189C2316yes—
275#13133189C2316yes—
276#13133188C2316yes—
277#13133188C2316yes—
278#13133188C2316yes—
279#13133188C2316yes—
280#13133188C2313yes—
281#13133188C2316yes—
282#13133188C2313yes—
283#13133187C23112yes—
284#13133187C2316yes—
285#13133186C23112yes—
286#13133186C23112yes—
287#13133185C2316yes—
288#13133185C23112yes—
289Q8×Dic53C2312yes—
290Q8×Dic53C2311yescharacteristic
291Q8×Dic53C2311yescharacteristic
292C4×Dic106C2316yes—
293C4×Dic106C2316yes—
294C4×Dic106C2311yescharacteristic
295C4×Dic106C2313yes—
296C4×Dic106C2313yes—
297C4×Dic106C2313yes—
298#13133182C2313yes—
299#13133182C2313yes—
300C4×D212C2316yes—
301C4×D212C23112yes—
302C4×D212C2316yes—
303C4×D212C2316yes—
304C4×D212C2313yes—
305C4×D212C2316yes—
306C4×D212C2316yes—
307C4×D212C2313yes—
308C4×D212C2313yes—
309C4×D212C2313yes—
310D4×Dic53C2316yes—
311D4×Dic53C2313yes—
312D4×Dic53C2313yes—
313#13133179C2316yes—
314#13133179C2313yes—
315#13133179C2313yes—
316#13133179C2316yes—
317C4×C22⋊D53C2316yes—
318C4×C22⋊D53C2316yes—
319C4×C22⋊D53C2316yes—
320C4×C22⋊D53C2316yes—
321C4×C22⋊D53C23112yes—
322C4×C22⋊D53C23112yes—
323C4×C22⋊D53C23112yes—
324C4×C22⋊D53C2316yes—
325C4×C22⋊D53C2316yes—
326C4×C22⋊D53C2316yes—
327C4×C22⋊D53C2316yes—
328#13133177C23112yes—
329#13133177C2316yes—
330#13133177C2316yes—
331#13133176C23112yes—
332#13133176C2313yes—
333#13133176C2313yes—
334#13133175C2316yes—
335#13133175C2313yes—
336#13133175C2313yes—
337#13133174C23112yes—
338#13133174C2313yes—
339#13133174C2311yescharacteristic
340#13133174C2313yes—
341#13133174C2313yes—
342#13133174C2313yes—
343#13133174C2313yes—
344#13133174C2313yes—
345#13133174C2313yes—
346#13133174C2316yes—
347#13133173C2316yes—
348C2×C4⋊Dic53C2316yes—
349C2×C4⋊Dic53C2313yes—
350C2×#11719919C2316yes—
351C2×#11719919C2313yes—
352C2×#11719919C2313yes—
353C4⋊C4×D53C2313yes—
354C4⋊C4×D53C2313yes—
355C4⋊C4×D53C2316yes—
356C2×C22⋊Dic53C2316yes—
357C2×#11719921C2316yes—
358C2×#11719921C2313yes—
359C2×#11719921C2313yes—
360C2×#11719921C2316yes—
361C22⋊C4×D53C2316yes—
362C22⋊C4×D53C23112yes—
363C2×C4×Dic53C2313yes—
364C42×D53C2316yes—
365C42×D53C2316yes—
366H(5,𝔽2)×C53—28no—
367C2×#41×C53C2312yes—
368C2×#41×C53C2313yes—
369C2×#41×C53C2311yescharacteristic
370C22×D4×C53C2316yes—
371C22×D4×C53C2313yes—
372C23×C4×C53C2316yes—
373C4×Q8×C53C2312yes—
374C4×Q8×C53C2311yescharacteristic
375C4×Q8×C53C2311yescharacteristic
376C4×Q8×C53C2311yescharacteristic
377C4×Q8×C53C2313yes—
378C4×D4×C53C2316yes—
379C4×D4×C53C23112yes—
380C4×D4×C53C2316yes—
381C4×D4×C53C2313yes—
382C4×D4×C53C2316yes—
383C4×D4×C53C2313yes—
384C4×D4×C53C2316yes—
385C4×D4×C53C2316yes—
386C4×D4×C53C2316yes—
387C4×D4×C53C2316yes—
388C4×D4×C53C2313yes—
389C4×D4×C53C2316yes—
390C4×D4×C53C2313yes—
391#117×C53C2313yes—
392#117×C53C2313yes—
393#117×C53C2316yes—
394#117×C53C2316yes—
395C2×C4⋊C4×C53C2316yes—
396C2×C4⋊C4×C53C2313yes—
397C2×C22⋊C4×C53C23112yes—
398C2×C22⋊C4×C53C2316yes—
399C2×C42×C53C2313yes—
400C2×C42×C53C2316yes—
401C24×C53C2416yes—
402C23×D53C2413yes—
403C23×D53C2416yes—
404#41×C53—28no—
405#41×C53—212no—
406#41×C53#4118yescomplemented
407C2×Q8×C53C2411yescharacteristic
408C2×Q8×C53C2411yescharacteristic
409C2×D4×C53—224no—
410C2×D4×C53—212no—
411C2×D4×C53C2416yes—
412C2×D4×C53C2416yes—
413C2×D4×C53C2413yes—
414C2×D4×C53C2413yes—
415C22×C4×C53—86no—
416C22×C4×C53C2416yes—
417C22×C4×C53C2413yes—
418C22×C4×C53C2416yes—
419C22×C4×C53C2413yes—
420C22×C4×C53C2416yes—
421C22×C4×C53C2416yes—
422C22×C4×C53C24112yes—
423C22×C4×C53C2413yes—
424C2×C22⋊D53—86no—
425C2×C22⋊D53—86no—
426C2×C22⋊D53—86no—
427C2×C22⋊D53C2416yes—
428C2×C22⋊D53C2416yes—
429C2×C22⋊D53C2416yes—
430C2×C22⋊D53C24112yes—
431C2×C22⋊D53C24112yes—
432C2×C22⋊D53C2416yes—
433C2×C22⋊D53C24112yes—
434C2×C22⋊D53C2416yes—
435C2×C22⋊D53C2416yes—
436C22×Dic53C2413yes—
437C22×Dic53C2413yes—
438C22×Dic53C2413yes—
439C22×Dic53C2416yes—
440#11719949—24no—
441#11719949—28no—
442Q8×D53—24no—
443#11719947—212no—
444D4×D53—212no—
445D4×D53—224no—
446#11719945—212no—
447#11719945—212no—
448#11719945—812no—
449#11719945—812no—
450C2×D212—212no—
451C2×D212—86no—
452C2×D212C2416yes—
453C2×D212C2413yes—
454C2×D212C2413yes—
455C2×D212C2416yes—
456C2×D212C2416yes—
457C2×D212C24112yes—
458C2×C4×D53—212no—
459C2×C4×D53—86no—
460C2×C4×D53C2413yes—
461C2×C4×D53C2416yes—
462C2×C4×D53C2413yes—
463C2×C4×D53C2411yescharacteristic
464C2×C4×D53C2413yes—
465C2×C4×D53C2416yes—
466C2×C4×D53C2416yes—
467C2×C4×D53C2416yes—
468C2×C4×D53C2416yes—
469C2×C4×D53C24112yes—
470C2×Dic106C2413yes—
471C2×Dic106C2411yescharacteristic
472C2×Dic106C2416yes—
473C2×Dic106C2416yes—
474C4⋊C4×C53C2413yes—
475C4⋊C4×C53C2416yes—
476C4⋊C4×C53C2413yes—
477C4⋊C4×C53C2416yes—
478C4⋊C4×C53C2413yes—
479C4⋊C4×C53C2411yescharacteristic
480C4⋊C4×C53C2412yes—
481C22⋊C4×C53C2416yes—
482C22⋊C4×C53C2416yes—
483C22⋊C4×C53C24112yes—
484C22⋊C4×C53C2416yes—
485C22⋊C4×C53C2416yes—
486C42×C53C2411yescharacteristic
487C42×C53C2413yes—
488C42×C53C2412yes—
489C42×C53C2413yes—
490C42×C53C2413yes—
491C42×C53C2416yes—
492C42×C53C2416yes—
493C22⋊Dic53C2416yes—
494C22⋊Dic53C2416yes—
495C22⋊Dic53C2416yes—
496C22⋊Dic53C24112yes—
497C22⋊Dic53C2416yes—
498C22⋊Dic53C2416yes—
499C22⋊Dic53C2416yes—
500#11719921C2413yes—
501#11719921C2413yes—
502#11719921C2416yes—
503#11719921C24112yes—
504#11719921C2411yescharacteristic
505#11719921C2411yescharacteristic
506#11719921C2416yes—
507#11719921C2416yes—
508#11719921C2413yes—
509#11719921C2413yes—
510#11719921C2413yes—
511#11719921C2413yes—
512#11719921C24112yes—
513#11719921C2416yes—
514#11719921C2412yes—
515#11719921C2416yes—
516#11719921C2416yes—
517#11719921C2416yes—
518#11719921C2416yes—
519#11719921C2412yes—
520C4⋊Dic53C2416yes—
521C4⋊Dic53C2413yes—
522C4⋊Dic53C2413yes—
523C4⋊Dic53C2413yes—
524C4⋊Dic53C2416yes—
525C4⋊Dic53C24112yes—
526C4⋊Dic53C2411yescharacteristic
527C4⋊Dic53C2416yes—
528C4⋊Dic53C2412yes—
529C4⋊Dic53C2412yes—
530#11719919C2413yes—
531#11719919C2413yes—
532#11719919C2416yes—
533#11719919C2411yescharacteristic
534#11719919C2411yescharacteristic
535#11719919C2416yes—
536#11719919C2413yes—
537#11719919C2413yes—
538#11719919C2413yes—
539#11719919C2413yes—
540#11719919C24112yes—
541#11719919C2412yes—
542#11719919C2416yes—
543#11719919C2412yes—
544#11719919C2412yes—
545#11719919C2412yes—
546#11719919C2416yes—
547#11719919C2416yes—
548#11719919C2412yes—
549C4×Dic53C2412yes—
550C4×Dic53C2413yes—
551C4×Dic53C2416yes—
552C4×Dic53C2416yes—
553C4×Dic53C2416yes—
554C4×Dic53C2416yes—
555C4×Dic53C2411yescharacteristic
556C4×Dic53C2413yes—
557C4×Dic53C2413yes—
558C23×C53—212no—
559C23×C53—46no—
560C23×C53—46no—
561C23×C53C2516yes—
562C23×C53C2513yes—
563C22×D53—26no—
564C22×D53—212no—
565C22×D53—46no—
566C22×D53—43no—
567C22×D53—46no—
568C22×D53—43no—
569C22×D53C2513yes—
570C22×D53C2516yes—
571C22×D53C2511yescharacteristic
572Q8×C53—22no—
573Q8×C53C2×#4114yes—
574D4×C53—212no—
575D4×C53—212no—
576D4×C53—26no—
577D4×C53C2×#41112yes—
578C2×C4×C53—212no—
579C2×C4×C53—43no—
580C2×C4×C53—46no—
581C2×C4×C53—46no—
582C2×C4×C53—412no—
583C2×C4×C53—46no—
584C2×C4×C53—43no—
585C2×C4×C53C2×#41112yes—
586C2×C4×C53C2512yes—
587C2×C4×C53C2516yes—
588C2×C4×C53C2513yes—
589C2×C4×C53C2511yescharacteristic
590C2×C4×C53C2513yes—
591C2×C4×C53C2511yescharacteristic
592C2×C4×C53C2512yes—
593C2×C4×C53C2513yes—
594C2×C4×C53C2511yescharacteristic
595C22⋊D53—212no—
596C22⋊D53—212no—
597C22⋊D53—46no—
598C22⋊D53—412no—
599C22⋊D53—412no—
600C22⋊D53—412no—
601C22⋊D53—46no—
602C22⋊D53—46no—
603C22⋊D53—46no—
604C2×Dic53—26no—
605C2×Dic53—46no—
606C2×Dic53—43no—
607C2×Dic53—43no—
608C2×Dic53C2512yes—
609C2×Dic53C2513yes—
610C2×Dic53C2513yes—
611C2×Dic53C2513yes—
612C2×Dic53C2516yes—
613C2×Dic53C2512yes—
614C2×Dic53C2511yescharacteristic
615C2×Dic53C2511yescharacteristic
616C2×Dic53C2511yescharacteristic
617D212—26no—
618D212—212no—
619D212—26no—
620D212—46no—
621D212—412no—
622D212—46no—
623C4×D53—22no—
624C4×D53—26no—
625C4×D53—26no—
626C4×D53—26no—
627C4×D53—212no—
628C4×D53—46no—
629C4×D53—412no—
630C4×D53—46no—
631C4×D53—46no—
632C4×D53—46no—
633Dic106—22no—
634Dic106—26no—
635Dic106—46no—
636Dic106—46no—
637#62858—531nomaximal, Sylow
638C22×C53—23no—
639C22×C53—23no—
640C22×C53—26no—
641C22×C53—26no—
642C22×C53—26no—
643C22×C53—812no—
644C22×C53C22×#4116yes—
645C22×C53C2611yescharacteristic
646C2×D53—21no—
647C2×D53—23no—
648C2×D53—26no—
649C2×D53—26no—
650C2×D53—23no—
651C2×D53—23no—
652C2×D53—26no—
653C2×D53—21no—
654C2×D53—21no—
655C2×D53—86no—
656C2×D53—812no—
657C4×C53—22no—
658C4×C53—22no—
659C4×C53—26no—
660C4×C53—21no—
661C4×C53—23no—
662C4×C53—23no—
663C4×C53—21no—
664C4×C53C22×#4116yes—
665C4×C53C22×#4112yes—
666Dic53—23no—
667Dic53—22no—
668Dic53—21no—
669Dic53—22no—
670Dic53—23no—
671Dic53—23no—
672Dic53—26no—
673Dic53—21no—
674Dic53—21no—
675#3524—532no—
676#3524—532no—
677#3519—536no—
678#3519—536no—
679#3517—532no—
680#3517—532no—
681#3513—536no—
682#3513—536no—
683#3512—533no—
684#3508—533no—
685#3504—531no—
686#3498—531no—
687#3494—533no—
688#3494—533no—
689#3488—531no—
690#3488—531no—
691#3460—533no—
692#3460—533no—
693#3455—533no—
694C2×#540—533no—
695C4×H(5,𝔽2)—531no—
696C4×H(5,𝔽2)D5311yescharacteristic, complemented
697#3428—531no—
698C2×C53—26no—
699C2×C53—46no—
700C2×C53C23×#4111yescharacteristic
701C2×C53H(7,𝔽2)11yescharacteristic
702C2×C53H(7,𝔽2)11yescharacteristic
703D53—43no—
704D53—46no—
705D53—41no—
706C2×H(5,𝔽2)—531no—
707C2×H(5,𝔽2)C2×D5311yescharacteristic
708C22×#41—531no—
709#559—536no—
710#559—536no—
711#557—532no—
712#557—532no—
713#555—536no—
714#555—536no—
715#554—536no—
716#554—536no—
717#553—5312no—
718#553—5312no—
719#553—536no—
720#553—536no—
721#553—536no—
722#553—536no—
723#553—536no—
724#553—536no—
725#552—536no—
726#552—536no—
727#551—5312no—
728#551—5312no—
729#550—532no—
730#550—532no—
731#550—532no—
732#550—532no—
733#550—536no—
734#550—536no—
735#548—532no—
736#548—532no—
737#547—536no—
738#547—536no—
739#546—536no—
740#546—536no—
741#546—5312no—
742#546—5312no—
743#546—5312no—
744#546—5312no—
745D42—536no—
746D42—536no—
747D42—536no—
748D42—536no—
749#544—533no—
750#544—533no—
751#542—533no—
752#542—533no—
753#542—533no—
754#542—533no—
755#542—536no—
756#542—536no—
757#541—531no—
758#541—533no—
759#540—533no—
760#540—536no—
761#540—536no—
762#540—536no—
763#540—536no—
764#540—536no—
765#540—536no—
766#540—536no—
767#540—533no—
768#540—536no—
769#540—536no—
770#539—536no—
771#539—536no—
772#538—536no—
773#538—536no—
774#538—5312no—
775#538—5312no—
776#537—533no—
777#537—533no—
778#535—533no—
779#535—533no—
780#535—533no—
781#535—533no—
782#533—533no—
783#532—533no—
784#532—536no—
785#532—536no—
786#532—536no—
787#532—536no—
788C2×#127—533no—
789#529—536no—
790#529—536no—
791#529—536no—
792#529—536no—
793#529—536no—
794#529—536no—
795#529—536no—
796#529—536no—
797C2×#125—533no—
798#525—533no—
799#525—5312no—
800#525—5312no—
801#525—533no—
802C2×#123—536no—
803C2×#123—536no—
804C2×#121—533no—
805C2×#121—536no—
806C2×#121—533no—
807C2×#121—536no—
808#520—531no—
809#520—531no—
810#520—531no—
811#520—532no—
812#520—533no—
813#520—533no—
814#520—533no—
815#520C2×D5311yescharacteristic
816#520C2×D5313yescomplemented
817#520C2×D5312yescomplemented
818#519—531no—
819#519—531no—
820#518—533no—
821#518—533no—
822#518—536no—
823#518—533no—
824#518C2×D5313yescomplemented
825#518C2×D5316yescomplemented
826C4×#41—531no—
827C4×#41—532no—
828C4×#41—533no—
829C4×#41—533no—
830C4×#41—533no—
831C4×#41C2×D5311yescharacteristic
832C4×#41C2×D5313yescomplemented
833C4×#41C2×D5312yescomplemented
834C2×C4×D4—536no—
835C2×C4×D4—533no—
836C2×C4×D4C2×D5313yescomplemented
837C2×C4×D4C2×D5316yescomplemented
838C2×#117—533no—
839C2×#117—533no—
840C53#6285811yescharacteristic, complemented, Sylow
841H(5,𝔽2)—28no—
842H(5,𝔽2)—1068no—
843C2×#41—532no—
844C2×#41—531no—
845C2×#41—533no—
846C2×#41—533no—
847C2×#41—533no—
848C2×#41—5312no—
849C2×#41—5312no—
850C2×#41—1068no—
851C2×#41C22×D5313yes—
852C2×#41C22×D5312yes—
853C2×#41C22×D5311yescharacteristic
854C22×Q8—531no—
855C22×D4—536no—
856C22×D4—536no—
857C22×D4—536no—
858C22×D4—536no—
859C22×D4—533no—
860C22×D4—533no—
861C22×D4—536no—
862C22×D4C22×D5313yes—
863C22×D4C22×D5316yes—
864C23×C4—533no—
865C23×C4—536no—
866C23×C4C22×D5316yes—
867C4⋊Q8—531no—
868C4⋊Q8—533no—
869C4⋊Q8—533no—
870C4⋊Q8—536no—
871C4⋊Q8—536no—
872#127—533no—
873#127—536no—
874#127—536no—
875#127—536no—
876#127—536no—
877#127—536no—
878#126—532no—
879#126—536no—
880#126—5312no—
881#126—536no—
882#126—5312no—
883#126—536no—
884#126—532no—
885#126—536no—
886#126—536no—
887#126—536no—
888#125—533no—
889#125—536no—
890#125—536no—
891#125—536no—
892#125—532no—
893#125—536no—
894#125—536no—
895#125—531no—
896#125—532no—
897#125—536no—
898#125—536no—
899#124—533no—
900#124—533no—
901#124—536no—
902#124—536no—
903#124—536no—
904#124—5312no—
905#124—5312no—
906#124—536no—
907#124—536no—
908#124—536no—
909#123—536no—
910#123—536no—
911#123—5312no—
912#123—5312no—
913#123—5312no—
914#123—536no—
915#123—536no—
916#123—536no—
917#123—536no—
918#123—5312no—
919#123—536no—
920#123—536no—
921#123—5312no—
922#123—5312no—
923#123—5312no—
924#123—536no—
925#123—5312no—
926#123—536no—
927C22⋊Q8—531no—
928C22⋊Q8—533no—
929C22⋊Q8—536no—
930C22⋊Q8—5312no—
931C22⋊Q8—536no—
932C22⋊Q8—536no—
933C22⋊Q8—531no—
934C22⋊Q8—536no—
935C22⋊Q8—533no—
936C22⋊Q8—536no—
937C22⋊Q8—536no—
938C22⋊Q8—5312no—
939C22⋊Q8—536no—
940C22⋊Q8—536no—
941#121—533no—
942#121—536no—
943#121—536no—
944#121—536no—
945#121—533no—
946#121—5312no—
947#121—536no—
948#121—536no—
949#121—536no—
950#121—536no—
951#121—536no—
952#121—5312no—
953#121—5312no—
954#121—5312no—
955#121—5312no—
956#121—536no—
957#121—536no—
958#121—536no—
959#121—536no—
960#121—533no—
961#121—536no—
962#121—536no—
963#121—536no—
964#121—533no—
965#121—536no—
966#121—536no—
967#121—5312no—
968#121—5312no—
969#121—5312no—
970#121—536no—
971#121—5312no—
972#121—5312no—
973#120—5312no—
974#120—5312no—
975#120—5312no—
976#120—536no—
977#120—5312no—
978#120—536no—
979C4×Q8—531no—
980C4×Q8—531no—
981C4×Q8—532no—
982C4×Q8—533no—
983C4×Q8—533no—
984C4×Q8—531no—
985C4×Q8—533no—
986C4×Q8—533no—
987C4×Q8—533no—
988C4×Q8—536no—
989C4×Q8—536no—
990C4×Q8C22×D5311yescharacteristic
991C4×Q8C22×D5311yescharacteristic
992C4×Q8C22×D5311yescharacteristic
993C4×Q8C22×D5312yes—
994C4×Q8C22×D5313yes—
995C4×D4—536no—
996C4×D4—533no—
997C4×D4—533no—
998C4×D4—536no—
999C4×D4—536no—
1000C4×D4—536no—
1001C4×D4—536no—
1002C4×D4—536no—
1003C4×D4—536no—
1004C4×D4—5312no—
1005C4×D4—5312no—
1006C4×D4—5312no—
1007C4×D4—536no—
1008C4×D4—536no—
1009C4×D4—536no—
1010C4×D4—536no—
1011C4×D4—533no—
1012C4×D4—533no—
1013C4×D4—5312no—
1014C4×D4—536no—
1015C4×D4—536no—
1016C4×D4—536no—
1017C4×D4—533no—
1018C4×D4—536no—
1019C4×D4—536no—
1020C4×D4—533no—
1021C4×D4—533no—
1022C4×D4—533no—
1023C4×D4—536no—
1024C4×D4—536no—
1025C4×D4—5312no—
1026C4×D4C22×D5313yes—
1027C4×D4C22×D5313yes—
1028C4×D4C22×D5316yes—
1029C4×D4C22×D5313yes—
1030C4×D4C22×D5316yes—
1031C4×D4C22×D5316yes—
1032C4×D4C22×D5316yes—
1033C4×D4C22×D5316yes—
1034C4×D4C22×D53112yes—
1035C4×D4C22×D5316yes—
1036C4×D4C22×D5316yes—
1037C4×D4C22×D5313yes—
1038C4×D4C22×D5316yes—
1039#117—533no—
1040#117—533no—
1041#117—5312no—
1042#117—533no—
1043#117—533no—
1044#117—536no—
1045#117—536no—
1046#117—531no—
1047#117—533no—
1048#117—533no—
1049#117—533no—
1050#117—533no—
1051#117—533no—
1052#117—533no—
1053#117—533no—
1054#117—536no—
1055#117—5312no—
1056#117C22×D5313yes—
1057#117C22×D5313yes—
1058#117C22×D5316yes—
1059#117C22×D5316yes—
1060C2×C4⋊C4—533no—
1061C2×C4⋊C4—533no—
1062C2×C4⋊C4—533no—
1063C2×C4⋊C4—536no—
1064C2×C4⋊C4—536no—
1065C2×C4⋊C4—533no—
1066C2×C4⋊C4—533no—
1067C2×C4⋊C4—536no—
1068C2×C4⋊C4C22×D5313yes—
1069C2×C4⋊C4C22×D5316yes—
1070C2×C22⋊C4—536no—
1071C2×C22⋊C4—533no—
1072C2×C22⋊C4—533no—
1073C2×C22⋊C4—536no—
1074C2×C22⋊C4—536no—
1075C2×C22⋊C4—536no—
1076C2×C22⋊C4—5312no—
1077C2×C22⋊C4C22×D5316yes—
1078C2×C22⋊C4C22×D53112yes—
1079C2×C42—533no—
1080C2×C42—536no—
1081C2×C42—536no—
1082C2×C42C22×D5313yes—
1083C2×C42C22×D5316yes—
1084C24—533no—
1085C24—536no—
1086C24C23×D5316yes—
1087#41—28no—
1088#41—212no—
1089#41—1064no—
1090#41—1068no—
1091#41—10612no—
1092#41—10612no—
1093#41—10612no—
1094#41—42412no—
1095#41—42412no—
1096#41#1171994518yescomplemented
1097C2×Q8—533no—
1098C2×Q8—531no—
1099C2×Q8—536no—
1100C2×Q8—536no—
1101C2×Q8—1064no—
1102C2×Q8C23×D5311yescharacteristic
1103C2×Q8C23×D5311yescharacteristic
1104C2×D4—224no—
1105C2×D4—212no—
1106C2×D4—536no—
1107C2×D4—536no—
1108C2×D4—536no—
1109C2×D4—5312no—
1110C2×D4—5312no—
1111C2×D4—536no—
1112C2×D4—5312no—
1113C2×D4—536no—
1114C2×D4—536no—
1115C2×D4—536no—
1116C2×D4—533no—
1117C2×D4—533no—
1118C2×D4—536no—
1119C2×D4—536no—
1120C2×D4—5312no—
1121C2×D4—10612no—
1122C2×D4—10624no—
1123C2×D4—10612no—
1124C2×D4—4246no—
1125C2×D4—4246no—
1126C2×D4—4246no—
1127C2×D4—4246no—
1128C2×D4C23×D5316yes—
1129C2×D4C23×D5313yes—
1130C2×D4C23×D5316yes—
1131C2×D4C23×D5313yes—
1132C22×C4—86no—
1133C22×C4—533no—
1134C22×C4—533no—
1135C22×C4—533no—
1136C22×C4—536no—
1137C22×C4—533no—
1138C22×C4—536no—
1139C22×C4—533no—
1140C22×C4—533no—
1141C22×C4—531no—
1142C22×C4—536no—
1143C22×C4—536no—
1144C22×C4—536no—
1145C22×C4—536no—
1146C22×C4—5312no—
1147C22×C4—10612no—
1148C22×C4—4246no—
1149C22×C4C23×D5316yes—
1150C22×C4C23×D5313yes—
1151C22×C4C23×D5313yes—
1152C22×C4C23×D5316yes—
1153C22×C4C23×D5316yes—
1154C22×C4C23×D5316yes—
1155C22×C4C23×D53112yes—
1156C22×C4C23×D5313yes—
1157C4⋊C4—533no—
1158C4⋊C4—533no—
1159C4⋊C4—531no—
1160C4⋊C4—531no—
1161C4⋊C4—533no—
1162C4⋊C4—536no—
1163C4⋊C4—536no—
1164C4⋊C4—536no—
1165C4⋊C4—536no—
1166C4⋊C4—533no—
1167C4⋊C4—533no—
1168C4⋊C4—533no—
1169C4⋊C4—533no—
1170C4⋊C4—533no—
1171C4⋊C4—533no—
1172C4⋊C4—5312no—
1173C4⋊C4—5312no—
1174C4⋊C4—531no—
1175C4⋊C4—532no—
1176C4⋊C4—536no—
1177C4⋊C4—536no—
1178C4⋊C4—532no—
1179C4⋊C4—532no—
1180C4⋊C4—532no—
1181C4⋊C4—532no—
1182C4⋊C4—536no—
1183C4⋊C4—536no—
1184C4⋊C4—532no—
1185C4⋊C4—532no—
1186C4⋊C4C23×D5313yes—
1187C4⋊C4C23×D5313yes—
1188C4⋊C4C23×D5313yes—
1189C4⋊C4C23×D5316yes—
1190C4⋊C4C23×D5316yes—
1191C4⋊C4C23×D5311yescharacteristic
1192C4⋊C4C23×D5312yes—
1193C22⋊C4—536no—
1194C22⋊C4—536no—
1195C22⋊C4—536no—
1196C22⋊C4—5312no—
1197C22⋊C4—536no—
1198C22⋊C4—536no—
1199C22⋊C4—536no—
1200C22⋊C4—531no—
1201C22⋊C4—531no—
1202C22⋊C4—533no—
1203C22⋊C4—533no—
1204C22⋊C4—5312no—
1205C22⋊C4—536no—
1206C22⋊C4—536no—
1207C22⋊C4—536no—
1208C22⋊C4—533no—
1209C22⋊C4—533no—
1210C22⋊C4—533no—
1211C22⋊C4—533no—
1212C22⋊C4—5312no—
1213C22⋊C4—536no—
1214C22⋊C4—532no—
1215C22⋊C4—532no—
1216C22⋊C4—536no—
1217C22⋊C4—536no—
1218C22⋊C4—536no—
1219C22⋊C4—536no—
1220C22⋊C4C23×D5316yes—
1221C22⋊C4C23×D5316yes—
1222C22⋊C4C23×D5316yes—
1223C22⋊C4C23×D53112yes—
1224C22⋊C4C23×D5316yes—
1225C42—533no—
1226C42—531no—
1227C42—532no—
1228C42—536no—
1229C42—536no—
1230C42—536no—
1231C42—536no—
1232C42—533no—
1233C42—533no—
1234C42C23×D5313yes—
1235C42C23×D5313yes—
1236C42C23×D5311yescharacteristic
1237C42C23×D5313yes—
1238C42C23×D5312yes—
1239C42C23×D5316yes—
1240C42C23×D5316yes—
1241C23—212no—
1242C23—46no—
1243C23—46no—
1244C23—531no—
1245C23—536no—
1246C23—533no—
1247C23—1066no—
1248C23—10612no—
1249C23—2126no—
1250C23—2123no—
1251C23—2126no—
1252C23—2123no—
1253C23C24×D5316yes—
1254C23C24×D5313yes—
1255Q8—22no—
1256Q8—1066no—
1257Q8—1062no—
1258Q8—2126no—
1259Q8—2126no—
1260Q8C2×#1171994514yes—
1261D4—212no—
1262D4—212no—
1263D4—26no—
1264D4—10612no—
1265D4—10612no—
1266D4—10612no—
1267D4—1066no—
1268D4—1066no—
1269D4—2126no—
1270D4—21212no—
1271D4—2126no—
1272D4—2126no—
1273D4—2126no—
1274D4—2126no—
1275D4—21212no—
1276D4—21212no—
1277D4—21212no—
1278D4—2126no—
1279D4C2×#11719945112yes—
1280C2×C4—212no—
1281C2×C4—43no—
1282C2×C4—46no—
1283C2×C4—46no—
1284C2×C4—412no—
1285C2×C4—43no—
1286C2×C4—46no—
1287C2×C4—533no—
1288C2×C4—532no—
1289C2×C4—532no—
1290C2×C4—533no—
1291C2×C4—533no—
1292C2×C4—531no—
1293C2×C4—531no—
1294C2×C4—536no—
1295C2×C4—531no—
1296C2×C4—1066no—
1297C2×C4—1062no—
1298C2×C4—1066no—
1299C2×C4—1066no—
1300C2×C4—1066no—
1301C2×C4—10612no—
1302C2×C4—2126no—
1303C2×C4—21212no—
1304C2×C4—2126no—
1305C2×C4—2126no—
1306C2×C4—2126no—
1307C2×C4—2126no—
1308C2×C4—2123no—
1309C2×C4—2123no—
1310C2×C4C2×#11719945112yes—
1311C2×C4C24×D5313yes—
1312C2×C4C24×D5311yescharacteristic
1313C2×C4C24×D5313yes—
1314C2×C4C24×D5311yescharacteristic
1315C2×C4C24×D5312yes—
1316C2×C4C24×D5312yes—
1317C2×C4C24×D5316yes—
1318C2×C4C24×D5313yes—
1319C2×C4C24×D5311yescharacteristic
1320C22—23no—
1321C22—23no—
1322C22—26no—
1323C22—26no—
1324C22—26no—
1325C22—812no—
1326C22—1061no—
1327C22—1063no—
1328C22—1066no—
1329C22—1063no—
1330C22—1066no—
1331C22—1061no—
1332C22—1066no—
1333C22—1063no—
1334C22—1061no—
1335C22—4246no—
1336C22—42412no—
1337C22C22×#1171994516yes—
1338C22C25×D5311yescharacteristic
1339C4—22no—
1340C4—21no—
1341C4—23no—
1342C4—26no—
1343C4—21no—
1344C4—23no—
1345C4—22no—
1346C4—1061no—
1347C4—1062no—
1348C4—1063no—
1349C4—1061no—
1350C4—1063no—
1351C4—1062no—
1352C4—1066no—
1353C4—1061no—
1354C4—1063no—
1355C4C22×#1171994516yes—
1356C4C22×#1171994512yes—
1357C2—26no—
1358C2—46no—
1359C2—2121no—
1360C2—2126no—
1361C2—2123no—
1362C2C23×#1171994511yescharacteristic
1363C2#2028952511yescharacteristic
1364C2#2028952611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC4×H(5,𝔽2)×C53C2
hypercenterC4×H(5,𝔽2)D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
1. #20288824C2semidirect
2. #20288816C2semidirect
3. #20288747C2semidirect
4. #20288737C2semidirect
5. #20288721C2semidirect
6. #20288715C2semidirect
7. #20288655C2semidirect
8. #20288643C2semidirect
9. #20288632C2semidirect
10. #20288586C2semidirect
11. #20288537C2semidirect
12. #20288489C2semidirect
13. #20288451C2semidirect
14. #20288440C2semidirect
15. #20288385C2semidirect
16. #20288377C2semidirect
17. #20288137C2semidirect
18. #20288131C2semidirect
19. #20288100C2semidirect
20. C2×#16811224C2semidirect
21. C4×#13133263C2semidirect
22. #20287914C2semidirect
23. C4×H(5,𝔽2)×C53C2semidirect
26. #16811356C22semidirect
27. #16811356C22semidirect
28. #16811352C22semidirect
29. #16811349C22semidirect
30. #16811338C22semidirect
31. #16811336C22semidirect
32. #16811332C22semidirect
33. #16811330C22semidirect
34. #16811323C22semidirect
35. #16811323C22semidirect
36. #16811322C22semidirect
37. #16811321C22semidirect
38. #16811321C22semidirect
39. #16811319C22semidirect
40. #16811317C22semidirect
41. #16811317C22semidirect
42. #16811312C22semidirect
43. #16811308C22semidirect
44. #16811302C22semidirect
45. #16811299C22semidirect
46. #16811295C22semidirect
47. #16811294C22semidirect
48. #16811294C22semidirect
49. #16811292C22semidirect
50. #16811292C22semidirect
51. #16811292C22semidirect
52. #16811285C22semidirect
53. #16811280C22semidirect
54. #16811278C22semidirect
55. #16811274C22semidirect
56. #16811269C22semidirect
57. #16811268C22semidirect
58. #16811267C22semidirect
59. #16811263C22semidirect
60. #16811263C22semidirect
61. #16811263C22semidirect
62. D4×D212C22semidirect
63. D4×C22⋊D53C22semidirect
64. D4×C22⋊D53C22semidirect
65. D4×C22⋊D53C22semidirect
66. #16811254C22semidirect
67. #16811251C22semidirect
68. #16811245C22semidirect
69. #16811245C22semidirect
70. #16811244C22semidirect
71. #16811238C22semidirect
72. #16811238C22semidirect
73. #16811238C22semidirect
74. #16811231C22semidirect
75. #16811231C22semidirect
76. #16811228C22semidirect
77. #16811224C22semidirect
78. #16811224C22semidirect
79. #16811224C22semidirect
80. #16811224C22semidirect
81. #16811224C22semidirect
82. #16811224C22semidirect
83. #16811224C22semidirect
84. #16811224C22semidirect
85. #16811224C22semidirect
86. #16811224C22semidirect
87. #16811215C22semidirect
88. #16811215C22semidirect
89. #16811211C22semidirect
90. #16811206C22semidirect
91. #16811206C22semidirect
92. #16811206C22semidirect
93. #16811204C22semidirect
94. #16811201C22semidirect
95. #16811192C22semidirect
96. #16811190C22semidirect
97. #16811190C22semidirect
98. #16811187C22semidirect
99. #16811176C22semidirect
100. #16811173C22semidirect
101. #16811170C22semidirect
102. #16811170C22semidirect
103. #16811170C22semidirect
104. #16811169C22semidirect
105. C2×#13133213C22semidirect
106. #16811160C22semidirect
107. #16811157C22semidirect
108. #16811157C22semidirect
109. #16811157C22semidirect
110. #16811155C22semidirect
111. #16811155C22semidirect
112. #16811151C22semidirect
113. #16811151C22semidirect
114. C2×#13133208C22semidirect
115. #16811135C22semidirect
116. #16811134C22semidirect
117. #16811132C22semidirect
118. #16811130C22semidirect
119. C2×#13133200C22semidirect
120. C2×#13133199C22semidirect
121. C2×#13133192C22semidirect
122. C2×#13133191C22semidirect
123. C2×#13133190C22semidirect
124. C2×#13133188C22semidirect
126. #16811105C22semidirect
127. #16811105C22semidirect
128. #16811105C22semidirect
129. #16811103C22semidirect
130. #16811102C22semidirect
131. #16811102C22semidirect
132. #16811099C22semidirect
133. #16811099C22semidirect
134. #16811097C22semidirect
135. #16811095C22semidirect
136. #16811095C22semidirect
137. #16811095C22semidirect
139. C4×#11719949C22semidirect
140. C4×#11719945C22semidirect
141. C4×#11719945C22semidirect
142. #16811091C22semidirect
143. C2×C4×D212C22semidirect
144. C4×D4×D53C22semidirect
145. C2×#13133174C22semidirect
146. #117×D53C22semidirect
149. C53×#520C22semidirect
150. C53×#520C22semidirect
151. C53×#518C22semidirect
152. C53×#518C22semidirect
154. C4×#41×C53C22semidirect
155. C4×#41×C53C22semidirect
156. C2×C4×D4×C53C22semidirect
157. C2×C4×D4×C53C22semidirect
406. #41×C53#41semidirect
696. C4×H(5,𝔽2)D53semidirect
816. #520C2×D53semidirect
817. #520C2×D53semidirect
824. #518C2×D53semidirect
825. #518C2×D53semidirect
832. C4×#41C2×D53semidirect
833. C4×#41C2×D53semidirect
836. C2×C4×D4C2×D53semidirect
837. C2×C4×D4C2×D53semidirect
840. C53#62858semidirect
1096. #41#11719945semidirect

Maximal subgroups

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

subgroupindex
#202888242
#202888162
#202887472
#202887372
#202887212
#202887152
#202886552
#202886432
#202886322
#202885862
#202885372
#202884892
#202884512
#202884402
#202883852
#202883772
#202881372
#202881312
#202881002
C2×#168112242
C4×#131332632
#202879142
C4×H(5,𝔽2)×C532
#6285853