Finite Group Databasebeta

← #13371995

Subgroups — #13371995

Order 1792.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#435C211yesmaximal, characteristic
2C2×#89893C211yesmaximal, characteristic, complemented
3C2×#89878C211yesmaximal, characteristic, complemented
4#11739782C211yesmaximal, characteristic
5#11739780C211yesmaximal, characteristic
6#11729742C211yesmaximal, characteristic, complemented
7#11729724C211yesmaximal, characteristic, complemented
8#11728209C211yesmaximal, characteristic, complemented
9#11728208C211yesmaximal, characteristic, complemented
10#11727683C211yesmaximal, characteristic, complemented
11#11727683C211yesmaximal, characteristic, complemented
12#11727683C211yesmaximal, characteristic, complemented
13#11727682C211yesmaximal, characteristic, complemented
14#11727570C211yesmaximal, characteristic, complemented
15#11727568C211yesmaximal, characteristic, complemented
16C22×C7×M16C2211yescharacteristic
17C23×C7×C8C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C2×#6489C2211yescharacteristic
20C2×#6489C2211yescharacteristic
21C2×#6489C2211yescharacteristic
22C22×C4⋊Dic7C2211yescharacteristic
23C7×#435C418yescomplemented
24C2×C7×C4⋊C8C2211yescharacteristic
25C2×C7×C22⋊C8C2211yescharacteristic
26C2×C7×C22⋊C8C2211yescharacteristic
27C2×C7×#97C2211yescharacteristic
28#89993—21no—
29#89992—21no—
30#89984C2211yescharacteristic
31#89984C2211yescharacteristic
32#89984C2211yescharacteristic
33#89984C2211yescharacteristic
34#89893—24no—
35#89878—24no—
36C2×#6392C2211yescharacteristic
37C2×#6392C2211yescharacteristic
38C2×#6392C2211yescharacteristic
39C2×#6392C2211yescharacteristic
40C2×#6391C2211yescharacteristic
41C2×#6391C2211yescharacteristic
42C2×#6391C2211yescharacteristic
43C2×#6391C2211yescharacteristic
44C2×#6391C2211yescharacteristic
45C2×#6391C2211yescharacteristic
46#89753—21no—
47C4⋊C4×Dic7—21no—
48#89723—21no—
49#89723—21no—
50#89723—21no—
51C22⋊C4×Dic7—21no—
52#89708C2211yescharacteristic
53#89707C2211yescharacteristic
54C4×C4⋊Dic7C2211yescharacteristic
55C4×C4⋊Dic7C2211yescharacteristic
56#89346C2211yescharacteristic
57#89346C2211yescharacteristic
58#89346C2211yescharacteristic
59#89346C2211yescharacteristic
60#89346C2211yescharacteristic
61#89346C2211yescharacteristic
62#22662—71nomaximal, Sylow
63C22×C7×D4D411yescharacteristic
64C23×C4×C7C2311yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C23×Dic7—21no—
67C2×C7×M16—22no—
68C2×C7×M16—22no—
69C2×C7×M16C2×C414yes—
70C22×C7×C8—22no—
71C22×C7×C8—22no—
72C22×C7×C8C2×C414yescomplemented
73C22×C7×C8C2311yescharacteristic
74C22×C7×C8C2311yescharacteristic
75C22×C7×C8C2311yescharacteristic
76C22×C7×C8C2311yescharacteristic
77C4×C7×D4C2×C414yes—
78C4×C7×D4Q814yes—
79C2×C7×C4⋊C4D411yescharacteristic
80C2×C7×C22⋊C4D411yescharacteristic
81C2×C7×C22⋊C4D411yescharacteristic
82C2×C42×C7C2311yescharacteristic
83C2×C22⋊Dic7—21no—
84C2×C22⋊Dic7—21no—
85C2×C22⋊Dic7—21no—
86C2×C22⋊Dic7—21no—
87C2×C22⋊Dic7—21no—
88C2×C22⋊Dic7—21no—
89C2×C22⋊Dic7—21no—
90#6489—22no—
91#6489—22no—
92#6489—22no—
93#6489—41no—
94#6489—41no—
95#6489—41no—
96C2×C4⋊Dic7—22no—
97C2×C4⋊Dic7—21no—
98C2×C4⋊Dic7—21no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7—41no—
101C2×C4⋊Dic7C2311yescharacteristic
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4⋊Dic7C2311yescharacteristic
107C2×C4⋊Dic7C2311yescharacteristic
108C2×C4⋊Dic7C2311yescharacteristic
109C2×C4×Dic7—21no—
110C2×C4×Dic7—21no—
111C2×C4×Dic7—21no—
112C2×C4×Dic7—21no—
113C2×C4×Dic7—21no—
114C7×C4⋊C8C2×C414yescomplemented
115C7×C22⋊C8C2×C414yes—
116C7×C22⋊C8C2×C414yescomplemented
117C7×#97C2×C414yescomplemented
118C7⋊#95—21no—
119C7⋊#95—21no—
120C7⋊#95—21no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126#6392—22no—
127#6392—22no—
128#6392—41no—
129#6392D414yescomplemented
130#6391—22no—
131#6391—22no—
132#6391—22no—
133#6391—22no—
134#6391—22no—
135#6391—41no—
136C2×#435D711yescharacteristic
137C2×#428—71no—
138C2×#427—71no—
139#2354—71no—
140#2352—71no—
141#1949—71no—
142#1948—71no—
143#1854—71no—
144#1854—71no—
145#1854—71no—
146#1853—71no—
147#1847—71no—
148#1809—71no—
149#1807—71no—
150#1776—71no—
151C24×C7C2×D411yescharacteristic
152C24×C7C2×D411yescharacteristic
153C2×C7×D4—41no—
154C2×C7×D4—41no—
155C2×C7×D4C4⋊C414yes—
156C22×C4×C7—21no—
157C22×C4×C7—21no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7C22×C412yes—
165C22×C4×C7C22×C412yes—
166C22×C4×C7C2×D411yescharacteristic
167C22×C4×C7C2×D411yescharacteristic
168C22×C4×C7C2×D411yescharacteristic
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×Q812yes—
171C22×C4×C7C2×Q812yes—
172C22×C4×C7C2411yescharacteristic
173C22×Dic7—21no—
174C22×Dic7—21no—
175C22×Dic7—21no—
176C22×Dic7—21no—
177C22×Dic7—21no—
178C22×Dic7—21no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—42no—
182C22×Dic7—42no—
183C22×Dic7—81no—
184C7×M16—28no—
185C2×C7×C8—21no—
186C2×C7×C8—21no—
187C2×C7×C8—21no—
188C2×C7×C8—21no—
189C2×C7×C8—21no—
190C2×C7×C8—21no—
191C2×C7×C8—28no—
192C2×C7×C8C22×C412yes—
193C2×C7×C8C22×C412yes—
194C2×C7×C8C22×C412yes—
195C2×C7×C8C22×C412yes—
196C2×C7×C8C2×D412yes—
197C2×C7×C8#4112yes—
198C7×C4⋊C4C4⋊C414yes—
199C7×C22⋊C4C4⋊C414yes—
200C7×C22⋊C4C4⋊C414yes—
201C42×C7C22×C412yes—
202C42×C7C2×Q812yes—
203C22⋊Dic7—42no—
204C22⋊Dic7—42no—
205C22⋊Dic7—42no—
206C22⋊Dic7—42no—
207C22⋊Dic7—81no—
208C22⋊Dic7—81no—
209C22⋊Dic7—81no—
210C4⋊Dic7—21no—
211C4⋊Dic7—21no—
212C4⋊Dic7—21no—
213C4⋊Dic7—21no—
214C4⋊Dic7—21no—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—21no—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—42no—
225C4⋊Dic7—42no—
226C4⋊Dic7—81no—
227C4⋊Dic7C2×D412yes—
228C4⋊Dic7C2×D412yes—
229C4×Dic7—42no—
230C4×Dic7—42no—
231C4×Dic7—42no—
232C4×Dic7—42no—
233C4×Dic7—81no—
234C22×M16C2×D711yescharacteristic
235C23×C8C2×D711yescharacteristic
236C2×C4×D4C2×D711yescharacteristic
237C2×#117—71no—
238C2×#117—71no—
239C2×#117—71no—
240C22×C4⋊C4—71no—
241#435Dic718yescomplemented
242#428—144no—
243#427—144no—
244C2×#107—71no—
245C2×#107—71no—
246C2×#107—71no—
247C2×#107—71no—
248C2×#106—71no—
249C2×#106—71no—
250C2×#106—71no—
251C2×#106—71no—
252C2×#106—71no—
253C2×#106—71no—
254C2×C4⋊C8C2×D711yescharacteristic
255C2×C22⋊C8C2×D711yescharacteristic
256C2×C22⋊C8C2×D711yescharacteristic
257C2×#97C2×D711yescharacteristic
258#390—141no—
259#388—141no—
260#388—141no—
261#388—141no—
262#387—141no—
263#386—141no—
264#384—71no—
265#382—71no—
266#380—71no—
267#380—71no—
268#380—71no—
269#380—71no—
270C4×C4⋊C4—71no—
271C4×C4⋊C4—71no—
272C4×C4⋊C4—141no—
273C4×C22⋊C4—141no—
274#340—71no—
275#340—71no—
276#340—71no—
277#340—71no—
278#340—71no—
279#340—71no—
280C23×C7—21no—
281C23×C7—21no—
282C23×C7—21no—
283C23×C7—21no—
284C23×C7—21no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7—21no—
292C23×C7C2×C4⋊C412yes—
293C23×C7C2×C4⋊C412yes—
294C23×C7C22×D411yescharacteristic
295C7×D4—44no—
296C2×C4×C7—21no—
297C2×C4×C7—21no—
298C2×C4×C7—21no—
299C2×C4×C7—21no—
300C2×C4×C7—21no—
301C2×C4×C7—21no—
302C2×C4×C7—21no—
303C2×C4×C7—21no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—22no—
311C2×C4×C7—22no—
312C2×C4×C7C2×C4⋊C412yes—
313C2×C4×C7C2×C4⋊C412yes—
314C2×C4×C7C2×C4⋊C412yes—
315C2×C4×C7C2×C4⋊C412yes—
316C2×C4×C7C23×C411yescharacteristic
317C2×C4×C7C22×D411yescharacteristic
318C2×C4×C7C22×Q811yescharacteristic
319C2×C4×C7C2×#4111yescharacteristic
320C2×C4×C7H(5,𝔽2)11yescharacteristic
321C2×C4×C72−1+411yescharacteristic
322C2×Dic7—22no—
323C2×Dic7—22no—
324C2×Dic7—41no—
325C2×Dic7—41no—
326C2×Dic7—41no—
327C2×Dic7—41no—
328C2×Dic7—41no—
329C2×Dic7—41no—
330C2×Dic7—41no—
331C2×Dic7—41no—
332C2×Dic7—41no—
333C2×Dic7—41no—
334C2×Dic7—41no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—41no—
339C2×Dic7—41no—
340C2×Dic7—41no—
341C2×Dic7—41no—
342C2×Dic7—41no—
343C2×Dic7—41no—
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—84no—
347C7×C8—22no—
348C7×C8—22no—
349C7×C8—22no—
350C7×C8C4×D414yes—
351C22×D4D2811yescharacteristic
352C23×C4—141no—
353C23×C4C22×D711yescharacteristic
354C23×C4C22×D711yescharacteristic
355C2×M16—22no—
356C2×M16—22no—
357C2×M16C2×Dic714yes—
358C22×C8—22no—
359C22×C8—22no—
360C22×C8C2×Dic714yescomplemented
361C22×C8C22×D711yescharacteristic
362C22×C8C22×D711yescharacteristic
363C22×C8C22×D711yescharacteristic
364C22×C8C22×D711yescharacteristic
365C4×D4Dic1414yes—
366C4×D4C2×Dic714yes—
367#117—142no—
368#117—142no—
369#117—142no—
370#117—281no—
371#117—281no—
372#117—281no—
373C2×C4⋊C4—71no—
374C2×C4⋊C4—71no—
375C2×C4⋊C4—71no—
376C2×C4⋊C4—71no—
377C2×C4⋊C4—71no—
378C2×C4⋊C4—71no—
379C2×C4⋊C4—71no—
380C2×C4⋊C4—71no—
381C2×C4⋊C4—142no—
382C2×C4⋊C4—141no—
383C2×C4⋊C4—141no—
384C2×C4⋊C4—141no—
385C2×C4⋊C4—281no—
386C2×C4⋊C4D2811yescharacteristic
387C2×C22⋊C4—141no—
388C2×C22⋊C4—141no—
389C2×C22⋊C4—141no—
390C2×C22⋊C4—141no—
391C2×C22⋊C4—141no—
392C2×C22⋊C4—141no—
393C2×C22⋊C4—141no—
394C2×C22⋊C4D2811yescharacteristic
395C2×C22⋊C4D2811yescharacteristic
396C2×C42—141no—
397C2×C42—141no—
398C2×C42—141no—
399C2×C42—141no—
400C2×C42—141no—
401C2×C42C22×D711yescharacteristic
402#107—74no—
403#107—142no—
404#107—142no—
405#107—281no—
406#106—142no—
407#106—142no—
408#106—142no—
409#106—142no—
410#106—142no—
411#106—281no—
412C4⋊C8C2×Dic714yescomplemented
413C22⋊C8C2×Dic714yes—
414C22⋊C8C2×Dic714yescomplemented
415#97C2×Dic714yescomplemented
416#95—141no—
417#95—141no—
418#95—141no—
419#95—141no—
420#95—141no—
421#95—141no—
422#95—141no—
423#95—141no—
424C22×C7—22no—
425C22×C7—22no—
426C22×C7—22no—
427C22×C7—22no—
428C22×C7—22no—
429C22×C7—22no—
430C22×C7—41no—
431C22×C7—41no—
432C22×C7—41no—
433C22×C7—41no—
434C22×C7—41no—
435C22×C7—41no—
436C22×C7—41no—
437C22×C7—41no—
438C22×C7C22×C4⋊C411yescharacteristic
439C22×C7D4211yescharacteristic
440C22×C7#54711yescharacteristic
441C22×C7#57511yescharacteristic
442C22×C7#57511yescharacteristic
443C22×C7#57711yescharacteristic
444C22×C7#57711yescharacteristic
445C4×C7—22no—
446C4×C7—22no—
447C4×C7—22no—
448C4×C7—22no—
449C4×C7C2×C4×D411yescharacteristic
450C4×C7#52011yescharacteristic
451C4×C7D4×Q811yescharacteristic
452C4×C7#55411yescharacteristic
453Dic7—42no—
454Dic7—42no—
455Dic7—81no—
456Dic7—81no—
457Dic7—81no—
458Dic7—81no—
459Dic7—81no—
460Dic7—81no—
461C24C2×D2811yescharacteristic
462C24C2×D2811yescharacteristic
463C2×D4—41no—
464C2×D4—41no—
465C2×D4C4⋊Dic714yes—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—141no—
475C22×C4—141no—
476C22×C4—141no—
477C22×C4—141no—
478C22×C4—141no—
479C22×C4—141no—
480C22×C4—141no—
481C22×C4—141no—
482C22×C4—282no—
483C22×C4—282no—
484C22×C4—561no—
485C22×C4C2×Dic1412yes—
486C22×C4C2×Dic1412yes—
487C22×C4C2×D2811yescharacteristic
488C22×C4C2×D2811yescharacteristic
489C22×C4C2×D2811yescharacteristic
490C22×C4C2×D2811yescharacteristic
491C22×C4C22×Dic712yes—
492C22×C4C22×Dic712yes—
493C22×C4C23×D711yescharacteristic
494M16—28no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—28no—
502C2×C8D4×D712yes—
503C2×C8#115912yes—
504C2×C8C22×Dic712yes—
505C2×C8C22×Dic712yes—
506C2×C8C22×Dic712yes—
507C2×C8C22×Dic712yes—
508C4⋊C4—72no—
509C4⋊C4—72no—
510C4⋊C4—141no—
511C4⋊C4—141no—
512C4⋊C4—141no—
513C4⋊C4—141no—
514C4⋊C4—141no—
515C4⋊C4—141no—
516C4⋊C4—141no—
517C4⋊C4—141no—
518C4⋊C4—141no—
519C4⋊C4—141no—
520C4⋊C4—141no—
521C4⋊C4—141no—
522C4⋊C4—141no—
523C4⋊C4—141no—
524C4⋊C4—282no—
525C4⋊C4—282no—
526C4⋊C4—561no—
527C4⋊C4C4⋊Dic714yes—
528C22⋊C4—282no—
529C22⋊C4—282no—
530C22⋊C4—282no—
531C22⋊C4—282no—
532C22⋊C4—561no—
533C22⋊C4—561no—
534C22⋊C4—561no—
535C22⋊C4C4⋊Dic714yes—
536C22⋊C4C4⋊Dic714yes—
537C42—282no—
538C42—282no—
539C42—282no—
540C42—282no—
541C42—561no—
542C42C2×Dic1412yes—
543C42C22×Dic712yes—
544C2×C7—42no—
545C2×C7—42no—
546C2×C7D4×C4⋊C411yescharacteristic
547C2×C7#291111yescharacteristic
548C2×C7#291211yescharacteristic
549C2×C7#326711yescharacteristic
550C2×C7#327111yescharacteristic
551C2×C7#334811yescharacteristic
552C2×C7#335011yescharacteristic
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23C2×C4⋊Dic712yes—
566C23C2×C4⋊Dic712yes—
567C23C22×D2811yescharacteristic
568D4—44no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—142no—
586C2×C4—142no—
587C2×C4—281no—
588C2×C4—281no—
589C2×C4—281no—
590C2×C4—281no—
591C2×C4—281no—
592C2×C4—281no—
593C2×C4—281no—
594C2×C4—281no—
595C2×C4—281no—
596C2×C4—281no—
597C2×C4—281no—
598C2×C4—281no—
599C2×C4—281no—
600C2×C4—281no—
601C2×C4—281no—
602C2×C4—281no—
603C2×C4—281no—
604C2×C4—281no—
605C2×C4—281no—
606C2×C4—281no—
607C2×C4—281no—
608C2×C4—281no—
609C2×C4—564no—
610C2×C4C2×C4⋊Dic712yes—
611C2×C4C2×C4⋊Dic712yes—
612C2×C4C2×C4⋊Dic712yes—
613C2×C4C2×C4⋊Dic712yes—
614C2×C4C22×Dic1411yescharacteristic
615C2×C4C2×D4×D711yescharacteristic
616C2×C4C2×#115911yescharacteristic
617C2×C4#655311yescharacteristic
618C2×C4#655411yescharacteristic
619C2×C4C23×Dic711yescharacteristic
620C8—22no—
621C8—22no—
622C8—22no—
623C8D4×Dic714yes—
624C7#2266211yescharacteristic, complemented, Sylow
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22D4×D2811yescharacteristic
640C22#9024611yescharacteristic
641C22#9043911yescharacteristic
642C22#9043911yescharacteristic
643C22#9044211yescharacteristic
644C22#9044211yescharacteristic
645C22C22×C4⋊Dic711yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—22no—
650C4—282no—
651C4—282no—
652C4—561no—
653C4—561no—
654C4—561no—
655C4—561no—
656C4—561no—
657C4—561no—
658C4D4×Dic1411yescharacteristic
659C4#9023411yescharacteristic
660C4C2×D4×Dic711yescharacteristic
661C4#9051811yescharacteristic
662C2—42no—
663C2—42no—
664C2#1173691911yescharacteristic
665C2#1173692111yescharacteristic
666C2#1173694111yescharacteristic
667C2#1173695311yescharacteristic
668C2D4×C4⋊Dic711yescharacteristic
669C2#1174119711yescharacteristic
670C2#1174122911yescharacteristic
subgroupG/H
centerC23C22×D28
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC2×C7×#435C2
socleC23×C7C22×D4
prime radicalC22×C7×D4D4
cosocleC22×C4×C7C24
hypercenterC2×#435D7
hypocenterC7#22662
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
2. C2×#89893C2semidirect
3. C2×#89878C2semidirect
6. #11729742C2semidirect
7. #11729724C2semidirect
8. #11728209C2semidirect
9. #11728208C2semidirect
10. #11727683C2semidirect
11. #11727683C2semidirect
12. #11727683C2semidirect
13. #11727682C2semidirect
14. #11727570C2semidirect
15. #11727568C2semidirect
23. C7×#435C4semidirect
72. C22×C7×C8C2×C4semidirect
114. C7×C4⋊C8C2×C4semidirect
116. C7×C22⋊C8C2×C4semidirect
117. C7×#97C2×C4semidirect
129. #6392D4semidirect
241. #435Dic7semidirect
360. C22×C8C2×Dic7semidirect
412. C4⋊C8C2×Dic7semidirect
414. C22⋊C8C2×Dic7semidirect
415. #97C2×Dic7semidirect
624. C7#22662semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4352
C2×#898932
C2×#898782
#117397822
#117397802
#117297422
#117297242
#117282092
#117282082
#117276832
#117276822
#117275702
#117275682
#226627