Finite Group Databasebeta

← #14218059

Subgroups — #14218059

Order 1792.

2734 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90442C211yesmaximal, characteristic
2C4×#6553C211yesmaximal, characteristic, complemented
3C4×#6554C211yesmaximal, characteristic, complemented
4C7×#2875C211yesmaximal, characteristic, complemented
5#11741251C211yesmaximal, characteristic, complemented
6#11741242C211yesmaximal, characteristic, complemented
7#11741230C211yesmaximal, characteristic, complemented
8#11736017C213yesmaximal, complemented
9#11736016C213yesmaximal, complemented
10#11736007C213yesmaximal, complemented
11#11736005C213yesmaximal, complemented
12C4×#6472C213yesmaximal, complemented
13C4×#6471C213yesmaximal, complemented
14#11735939C213yesmaximal, complemented
15C2×#89482C213yesmaximal, complemented
16C2×#6554C2211yescharacteristic
17C2×#6553C2211yescharacteristic
18C2×C7×#131C2211yescharacteristic
19C2×C7×#131C2211yescharacteristic
20C4×C7×#41C2211yescharacteristic
21#90518C2211yescharacteristic
22#90518C2211yescharacteristic
23#90442C4116yescomplemented
24C2×#6472C2213yes—
25C2×#6471C2213yes—
26C2×#6467C2213yes—
27C22×#1132C2213yes—
28#90265—21no—
29C4×#1161—21no—
30#90263—21no—
31C4×Q8×D7—21no—
32#90237—23no—
33#90236—23no—
34C4×D4×D7—23no—
35C4×#1159—23no—
36#90214C2213yes—
37#90214C2213yescomplemented
38#90212C2213yes—
39#90207C2213yescomplemented
40C4×#1157C2213yes—
41C4×#1157C2213yescomplemented
42C2×C4×D28C2213yes—
43C2×C4×Dic14C2213yescomplemented
44C7×#405C2213yescomplemented
45C7×#405C2213yescomplemented
46C4×C7×M16C2213yescomplemented
47C2×C7×#97C2213yescomplemented
48#89905C2213yes—
49#89905C2213yescomplemented
50#89903C2213yes—
51#89893C2213yescomplemented
52#89893C2213yescomplemented
53#89892C2213yescomplemented
54#89885C2213yes—
55#89885C2213yescomplemented
56C2×#6395C2213yes—
57#89878C2213yescomplemented
58C2×#6392C2213yescomplemented
59C2×#6390C2213yescomplemented
60#89488C2213yescomplemented
61#89488C2213yescomplemented
62#89483C2213yescomplemented
63#89483C2213yescomplemented
64#89482C2213yescomplemented
65#89482C2216yescomplemented
66#89482C2216yescomplemented
67#89482C2216yescomplemented
68#89482C2211yescharacteristic, complemented
69#89482C2213yescomplemented
70#89482C2213yescomplemented
71C4×Dic28C2216yescomplemented
72C4×D56C2216yescomplemented
73C4×#1132C2216yescomplemented
74C4×#1132C2216yescomplemented
75#60174—71nomaximal, Sylow
76C2×C7×#41C2311yescharacteristic
77#6554—24no—
78#6554C2×C418yescomplemented
79#6553—24no—
80#6553C2×C418yescomplemented
81C2×#1161—21no—
82C2×Q8×D7—21no—
83C2×#1159—23no—
84C2×D4×D7—23no—
85C2×#1157C2313yes—
86C2×#1157C2313yes—
87C22×D28C2313yes—
88C22×C4×D7—23no—
89C22×Dic14C2313yes—
90C7×#131—24no—
91C7×#131C2×C418yescomplemented
92C2×C7×M16C2313yes—
93C2×C7×M16C2313yes—
94C22×C7×C8C2313yes—
95C22×C7×C8C2313yes—
96C4×C7×Q8D411yescharacteristic
97C4×C7×Q8D411yescharacteristic
98C4×C7×D4D413yes—
99C4×C7×D4D413yes—
100C7×#117C2313yes—
101C2×C42×C7C2313yes—
102Q8×Dic7—21no—
103Q8×Dic7—21no—
104D4×Dic7—23no—
105D4×Dic7—23no—
106C4×C22⋊D7—23no—
107C4×C22⋊D7—23no—
108C4×C22⋊D7—23no—
109C4×C22⋊D7—23no—
110C2×(C2×D7)⋊C4—23no—
111#6489C2313yes—
112#6489C2313yes—
113C2×C4⋊Dic7C2313yes—
114C2×C4⋊Dic7C2313yes—
115C2×Dic7⋊C4—23no—
116C2×C4×Dic7—23no—
117#6472C2×C4124yescomplemented
118#6471C2×C4124yescomplemented
119C2×Dic28C2313yes—
120#6467C2×C4124yescomplemented
121C2×D56C2313yes—
122C2×#1132C2×C4124yescomplemented
123C2×#1132C2313yes—
124C2×#1132C2316yes—
125C2×#1132C2311yescharacteristic
126#6456—23no—
127#6456—23no—
128#6455—23no—
129#6455—23no—
130D7×C4⋊C4—23no—
131D7×C4⋊C4—23no—
132#6450—23no—
133#6450—23no—
134(C22⋊D7)⋊C4—26no—
135(C22⋊D7)⋊C4—26no—
136D7×C22⋊C4—26no—
137#6440—26no—
138C4×D28—23no—
139C4×D28—23no—
140C4×D28C2313yes—
141C4×D28C2316yes—
142C4×D28C2313yes—
143C4×D28C2311yescharacteristic
144C4×D28C2313yes—
145#6435—23no—
146#6435—23no—
147C42×D7—23no—
148C42×D7—23no—
149C4×Dic14—23no—
150C4×Dic14—23no—
151C4×Dic14C2313yes—
152C4×Dic14C2316yes—
153C4×Dic14C2311yescharacteristic
154C4×Dic14C2313yes—
155C4×Dic14C2313yes—
156C7×#97C2311yescharacteristic
157C7×#97C2313yes—
158C7×#97C2313yes—
159C7×#97C2313yes—
160C4×C7×C8C2316yes—
161#6395C2313yes—
162#6395C2316yes—
163#6395C2313yes—
164#6395C2311yescharacteristic
165#6395C2313yes—
166#6392C2313yes—
167#6392C2316yes—
168#6392C2311yescharacteristic
169#6391C2313yes—
170#6391C2313yes—
171#6390C2313yes—
172#6390C2316yes—
173#6390C2311yescharacteristic
174#6390C2313yes—
175#6390C2313yes—
176C2×#577—71no—
177C4×2−1+4—71no—
178C4×H(5,𝔽2)—71no—
179#2951—73no—
180#2949—73no—
181#2947—73no—
182#2946—73no—
183C4×#137—73no—
184C4×AGL(1,ℤ/8)—73no—
185#2943—73no—
186C2×#440—73no—
187#2913—71no—
188#2898—71no—
189#2897—71no—
190#2875D711yescharacteristic, complemented
191C23×D7—23no—
192C7×#41C22×C414yes—
193C7×#41#4114yes—
194C2×C7×Q8C2×D411yescharacteristic
195C2×C7×D4C2×D413yes—
196C22×C4×C7C2×D413yes—
197C22×C4×C7C2×D413yes—
198C22×C4×C7C2413yes—
199C2×C22⋊D7—23no—
200C2×C22⋊D7—23no—
201C22×Dic7—23no—
202C22×Dic7—23no—
203C22×Dic7—23no—
204#1161—28no—
205Q8×D7—28no—
206#1159—224no—
207D4×D7—224no—
208#1157—26no—
209#1157—26no—
210#1157C22×C4112yes—
211#1157C22×C4112yescomplemented
212C2×D28—23no—
213C2×D28—26no—
214C2×D28C22×C4112yes—
215C2×D28C2413yes—
216C2×D28C2411yescharacteristic
217C2×C4×D7—23no—
218C2×C4×D7—23no—
219C2×C4×D7—21no—
220C2×C4×D7—23no—
221C2×C4×D7—23no—
222C2×C4×D7—23no—
223C2×C4×D7—26no—
224C2×C4×D7—86no—
225C2×Dic14—23no—
226C2×Dic14—26no—
227C2×Dic14C22×C4112yescomplemented
228C2×Dic14C2413yes—
229C2×Dic14C2411yescharacteristic
230C7×M16—26no—
231C7×M16C22×C4112yescomplemented
232C2×C7×C8—26no—
233C2×C7×C8C22×C4112yescomplemented
234C2×C7×C8C2413yes—
235C2×C7×C8C2411yescharacteristic
236C2×C7×C8C2413yes—
237C2×C7×C8C2411yescharacteristic
238C7×C4⋊C4C2×D413yes—
239C7×C4⋊C4C2×D413yes—
240C7×C22⋊C4C2×D416yes—
241C42×C7C2×D413yes—
242C42×C7C2×D413yes—
243C42×C7C2413yes—
244C42×C7C2411yescharacteristic
245C22⋊Dic7—23no—
246C22⋊Dic7—23no—
247(C2×D7)⋊C4—21no—
248(C2×D7)⋊C4—23no—
249(C2×D7)⋊C4—23no—
250(C2×D7)⋊C4—23no—
251(C2×D7)⋊C4—26no—
252C4⋊Dic7—23no—
253C4⋊Dic7—23no—
254C4⋊Dic7C2413yes—
255C4⋊Dic7C2411yescharacteristic
256C4⋊Dic7C2413yes—
257C4⋊Dic7C2411yescharacteristic
258Dic7⋊C4—23no—
259Dic7⋊C4—26no—
260Dic7⋊C4—21no—
261Dic7⋊C4—23no—
262Dic7⋊C4—23no—
263C4×Dic7—23no—
264C4×Dic7—26no—
265C4×Dic7—21no—
266C4×Dic7—23no—
267C4×Dic7—23no—
268C4×Dic7—23no—
269C4×Dic7—23no—
270Dic28C22×C4112yescomplemented
271D56C22×C4112yescomplemented
272#1132C22×C4112yescomplemented
273#1132C22×C4124yescomplemented
274#1132C22×C414yescomplemented
275C2×2−1+4—71no—
276C2×H(5,𝔽2)—71no—
277#577—716no—
278C2×#137—73no—
279C2×AGL(1,ℤ/8)—73no—
280C2×#135—73no—
281C22×SD16—73no—
282C2×#131C2×D711yescharacteristic
283C2×#131C2×D711yescharacteristic
284#520—71no—
285#520—71no—
286#520—73no—
287#520—73no—
288#520—141no—
289#520—143no—
290#519—73no—
291#519—141no—
292#518—73no—
293#518—143no—
294C4×#41—73no—
295C4×#41—73no—
296C4×#41—141no—
297C4×#41—143no—
298C4×#41C2×D711yescharacteristic
299C2×C4×Q8—73no—
300C2×C4×Q8—141no—
301C2×C4×D4—73no—
302C2×C4×D4—143no—
303#442—73no—
304#442—73no—
305#441—73no—
306#441—73no—
307#440—73no—
308#440—76no—
309#440—76no—
310#440—76no—
311#440—71no—
312#440—73no—
313#440—73no—
314C4×Q16—76no—
315C4×SD16—76no—
316C4×SD16—76no—
317C4×D8—76no—
318#428—73no—
319#428—73no—
320#427—73no—
321C2×#107—73no—
322#419—73no—
323#418—73no—
324#417—73no—
325#417—73no—
326#416—73no—
327#416—73no—
328C2×#103—73no—
329C2×#102—73no—
330#405C2×D713yescomplemented
331#405C2×D713yescomplemented
332C4×M16C2×D713yescomplemented
333C2×#97C2×D713yescomplemented
334C23×C7C22×D413yes—
335C22×D7—21no—
336C22×D7—23no—
337C22×D7—212no—
338C22×D7—83no—
339C22×D7—83no—
340C7×Q8C4×D414yes—
341C7×D4C4×D4112yes—
342C2×C4×C7—43no—
343C2×C4×C7—43no—
344C2×C4×C7C23×C416yes—
345C2×C4×C7C22×D411yescharacteristic
346C2×C4×C7C22×D413yes—
347C2×C4×C7C22×D411yescharacteristic
348C2×C4×C7C22×D413yes—
349C2×C4×C7C22×D413yes—
350C2×C4×C7C2×#4116yes—
351C2×C4×C7C2511yescharacteristic
352C22⋊D7—212no—
353C22⋊D7—212no—
354C2×Dic7—212no—
355C2×Dic7—23no—
356C2×Dic7—21no—
357C2×Dic7—21no—
358C2×Dic7—23no—
359C2×Dic7—21no—
360C2×Dic7—23no—
361C2×Dic7—83no—
362C2×Dic7—83no—
363D28—212no—
364D28—23no—
365D28—21no—
366D28C23×C416yes—
367D28C23×C412yes—
368C4×D7—212no—
369C4×D7—212no—
370C4×D7—42no—
371C4×D7—46no—
372C4×D7—83no—
373C4×D7—83no—
374C4×D7—86no—
375Dic14—212no—
376Dic14—23no—
377Dic14—21no—
378Dic14C23×C416yes—
379Dic14C23×C412yes—
380C7×C8—21no—
381C7×C8—23no—
382C7×C8C23×C412yes—
383C7×C8C23×C416yes—
3842−1+4—78no—
3852−1+4—144no—
386H(5,𝔽2)—78no—
387H(5,𝔽2)—144no—
388C2×#41—73no—
389C2×#41—73no—
390C2×#41—141no—
391C2×#41—143no—
392C2×#41C22×D711yescharacteristic
393C22×Q8—73no—
394C22×Q8—141no—
395C22×D4—73no—
396C22×D4—143no—
397C23×C4—143no—
398#137—724no—
399AGL(1,ℤ/8)—724no—
400#135—724no—
401C2×Q16—73no—
402C2×SD16—724no—
403C2×SD16—73no—
404C2×SD16—76no—
405C2×SD16—71no—
406C2×D8—73no—
407#131—24no—
408#131C4×D718yescomplemented
409C2×M16C22×D713yes—
410C2×M16C22×D713yes—
411C22×C8C22×D713yes—
412C22×C8C22×D713yes—
413C4×Q8—73no—
414C4×Q8—76no—
415C4×Q8—71no—
416C4×Q8—73no—
417C4×Q8—73no—
418C4×Q8—141no—
419C4×Q8—141no—
420C4×Q8—143no—
421C4×Q8—143no—
422C4×Q8—143no—
423C4×Q8—143no—
424C4×Q8D2811yescharacteristic
425C4×Q8D2811yescharacteristic
426C4×D4—73no—
427C4×D4—76no—
428C4×D4—71no—
429C4×D4—73no—
430C4×D4—73no—
431C4×D4—143no—
432C4×D4—143no—
433C4×D4—143no—
434C4×D4—143no—
435C4×D4—143no—
436C4×D4—143no—
437C4×D4—143no—
438C4×D4—143no—
439C4×D4—146no—
440C4×D4—146no—
441C4×D4—143no—
442C4×D4—143no—
443C4×D4D2813yes—
444C4×D4D2813yes—
445#117—73no—
446#117—73no—
447#117—143no—
448#117—143no—
449#117—146no—
450#117—143no—
451#117—143no—
452#117C22×D713yes—
453C2×C4⋊C4—73no—
454C2×C4⋊C4—73no—
455C2×C4⋊C4—143no—
456C2×C4⋊C4—143no—
457C2×C4⋊C4—143no—
458C2×C22⋊C4—143no—
459C2×C22⋊C4—146no—
460C2×C42—143no—
461C2×C42—143no—
462C2×C42—143no—
463C2×C42C22×D713yes—
464#107—73no—
465#107—76no—
466#107—71no—
467#106—73no—
468#106—73no—
469#103—73no—
470#103—76no—
471#103—71no—
472#103—73no—
473#103—73no—
474#102—73no—
475#102—76no—
476#102—71no—
477#102—73no—
478#102—73no—
479#97C22×D711yescharacteristic
480#97C22×D713yes—
481#97C22×D713yes—
482#97C22×D713yes—
483C4×C8C22×D716yes—
484C22×C7—23no—
485C22×C7—23no—
486C22×C7C2×C4×D416yes—
487C22×C7C23×D411yescharacteristic
488C2×D7—22no—
489C2×D7—26no—
490C2×D7—43no—
491C2×D7—41no—
492C2×D7—41no—
493C2×D7—43no—
494C2×D7—812no—
495C4×C7—21no—
496C4×C7—23no—
497C4×C7—21no—
498C4×C7—23no—
499C4×C7C2×C4×D416yes—
500C4×C7C24×C411yescharacteristic
501C4×C7C22×#4111yescharacteristic
502Dic7—26no—
503Dic7—22no—
504Dic7—43no—
505Dic7—43no—
506Dic7—41no—
507Dic7—41no—
508C24—143no—
509#41—712no—
510#41—712no—
511#41—148no—
512#41—1424no—
513#41—146no—
514#41—146no—
515#41C2×C4×D714yes—
516#41#115714yes—
517C2×Q8—712no—
518C2×Q8—73no—
519C2×Q8—71no—
520C2×Q8—148no—
521C2×Q8—143no—
522C2×Q8—146no—
523C2×Q8C2×D2811yescharacteristic
524C2×D4—712no—
525C2×D4—71no—
526C2×D4—73no—
527C2×D4—143no—
528C2×D4—143no—
529C2×D4—1424no—
530C2×D4—143no—
531C2×D4—146no—
532C2×D4C2×D2813yes—
533C22×C4—143no—
534C22×C4—143no—
535C22×C4—143no—
536C22×C4—143no—
537C22×C4—143no—
538C22×C4—141no—
539C22×C4—143no—
540C22×C4—143no—
541C22×C4—143no—
542C22×C4—146no—
543C22×C4—566no—
544C22×C4C2×D2813yes—
545C22×C4C2×D2813yes—
546C22×C4C23×D713yes—
547Q16—712no—
548SD16—712no—
549SD16—724no—
550SD16—74no—
551D8—712no—
552M16—26no—
553M16C2×C4×D7112yescomplemented
554C2×C8—26no—
555C2×C8C2×C4×D7112yescomplemented
556C2×C8C23×D713yes—
557C2×C8C23×D711yescharacteristic
558C2×C8C23×D713yes—
559C2×C8C23×D711yescharacteristic
560C4⋊C4—71no—
561C4⋊C4—73no—
562C4⋊C4—71no—
563C4⋊C4—73no—
564C4⋊C4—143no—
565C4⋊C4—143no—
566C4⋊C4—146no—
567C4⋊C4—141no—
568C4⋊C4—143no—
569C4⋊C4—143no—
570C4⋊C4—143no—
571C4⋊C4C2×D2813yes—
572C4⋊C4C2×D2813yes—
573C22⋊C4—143no—
574C22⋊C4—143no—
575C22⋊C4—143no—
576C22⋊C4—143no—
577C22⋊C4—146no—
578C22⋊C4—141no—
579C22⋊C4—143no—
580C22⋊C4C2×D2816yes—
581C42—141no—
582C42—143no—
583C42—143no—
584C42—143no—
585C42—143no—
586C42—143no—
587C42—146no—
588C42C2×D2813yes—
589C42C2×D2813yes—
590C42C23×D713yes—
591C42C23×D711yescharacteristic
592C2×C7—26no—
593C2×C7C22×C4×D411yescharacteristic
594C2×C7#358511yescharacteristic
595C2×C7#358611yescharacteristic
596D7—42no—
597D7—46no—
598C23—141no—
599C23—143no—
600C23—1412no—
601C23—563no—
602C23—563no—
603C23C22×D2813yes—
604Q8—76no—
605Q8—72no—
606Q8—1412no—
607Q8—143no—
608Q8—141no—
609Q8C4×D2814yes—
610D4—72no—
611D4—76no—
612D4—1412no—
613D4—1412no—
614D4—1412no—
615D4—143no—
616D4—141no—
617D4C4×D28112yes—
618C2×C4—43no—
619C2×C4—43no—
620C2×C4—1412no—
621C2×C4—141no—
622C2×C4—143no—
623C2×C4—1412no—
624C2×C4—1412no—
625C2×C4—141no—
626C2×C4—141no—
627C2×C4—143no—
628C2×C4—143no—
629C2×C4—282no—
630C2×C4—286no—
631C2×C4—563no—
632C2×C4—563no—
633C2×C4—566no—
634C2×C4—563no—
635C2×C4—563no—
636C2×C4C22×C4×D716yes—
637C2×C4C22×D2811yescharacteristic
638C2×C4C22×D2813yes—
639C2×C4C22×D2811yescharacteristic
640C2×C4C22×D2813yes—
641C2×C4C22×D2813yes—
642C2×C4C2×#115716yes—
643C2×C4C24×D711yescharacteristic
644C8—21no—
645C8—23no—
646C8C22×C4×D712yes—
647C8C22×C4×D716yes—
648C7#6017411yescharacteristic, complemented, Sylow
649C22—23no—
650C22—23no—
651C22—142no—
652C22—146no—
653C22—283no—
654C22—281no—
655C22—281no—
656C22—283no—
657C22—5612no—
658C22C2×C4×D2816yes—
659C22C23×D2811yescharacteristic
660C4—21no—
661C4—23no—
662C4—21no—
663C4—23no—
664C4—142no—
665C4—146no—
666C4—283no—
667C4—283no—
668C4—281no—
669C4—281no—
670C4C2×C4×D2816yes—
671C4C23×C4×D711yescharacteristic
672C4C22×#115711yescharacteristic
673C2—26no—
674C2—286no—
675C2—282no—
676C2C22×C4×D2811yescharacteristic
677C2#1174423511yescharacteristic
678C2#1174423611yescharacteristic
subgroupG/H
centerC22C23×D28
commutatorC4×C7C24×C4
FrattiniC2×C4C24×D7
FittingC7×#2875C2
socleC22×C7C23×D4
prime radicalC2×#90442C2
cosocleC2×C4×C7C25
hypercenter#2875D7
hypocenterC7#60174
LCSG ▷ C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2875

Complements

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

NH ≅ G/Ntype
2. C4×#6553C2semidirect
3. C4×#6554C2semidirect
4. C7×#2875C2semidirect
5. #11741251C2semidirect
6. #11741242C2semidirect
7. #11741230C2semidirect
8. #11736017C2semidirect
9. #11736016C2semidirect
10. #11736007C2semidirect
11. #11736005C2semidirect
12. C4×#6472C2semidirect
13. C4×#6471C2semidirect
14. #11735939C2semidirect
15. C2×#89482C2semidirect
23. #90442C4semidirect
37. #90214C22semidirect
39. #90207C22semidirect
41. C4×#1157C22semidirect
43. C2×C4×Dic14C22semidirect
44. C7×#405C22semidirect
45. C7×#405C22semidirect
46. C4×C7×M16C22semidirect
47. C2×C7×#97C22semidirect
49. #89905C22semidirect
51. #89893C22semidirect
52. #89893C22semidirect
53. #89892C22semidirect
55. #89885C22semidirect
57. #89878C22semidirect
58. C2×#6392C22semidirect
59. C2×#6390C22semidirect
60. #89488C22semidirect
61. #89488C22semidirect
62. #89483C22semidirect
63. #89483C22semidirect
64. #89482C22semidirect
65. #89482C22semidirect
66. #89482C22semidirect
67. #89482C22semidirect
68. #89482C22semidirect
69. #89482C22semidirect
70. #89482C22semidirect
71. C4×Dic28C22semidirect
72. C4×D56C22semidirect
73. C4×#1132C22semidirect
74. C4×#1132C22semidirect
78. #6554C2×C4semidirect
80. #6553C2×C4semidirect
91. C7×#131C2×C4semidirect
117. #6472C2×C4semidirect
118. #6471C2×C4semidirect
120. #6467C2×C4semidirect
122. C2×#1132C2×C4semidirect
190. #2875D7semidirect
211. #1157C22×C4semidirect
227. C2×Dic14C22×C4semidirect
231. C7×M16C22×C4semidirect
233. C2×C7×C8C22×C4semidirect
270. Dic28C22×C4semidirect
271. D56C22×C4semidirect
272. #1132C22×C4semidirect
273. #1132C22×C4semidirect
274. #1132C22×C4semidirect
330. #405C2×D7semidirect
331. #405C2×D7semidirect
332. C4×M16C2×D7semidirect
333. C2×#97C2×D7semidirect
408. #131C4×D7semidirect
553. M16C2×C4×D7semidirect
555. C2×C8C2×C4×D7semidirect
648. C7#60174semidirect

Maximal subgroups

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

subgroupindex
C2×#904422
C4×#65532
C4×#65542
C7×#28752
#117412512
#117412422
#117412302
#117360172
#117360162
#117360072
#117360052
C4×#64722
C4×#64712
#117359392
C2×#894822
#601747