Finite Group Databasebeta

← C7×#15120 #13192336

Subgroups — C7×#15120 #13192336

Order 1792.

1694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#390C211yesmaximal, characteristic
2C2×C7×#388C212yesmaximal, complemented
3C2×C7×#376C211yesmaximal, characteristic, complemented
4C7×#1444C211yesmaximal, characteristic, complemented
5C7×#1442C211yesmaximal, characteristic, complemented
6C7×#1440C212yesmaximal, complemented
7C7×#1439C212yesmaximal, complemented
8C7×#1438C211yesmaximal, characteristic
9C7×#1438C211yesmaximal, characteristic
10C7×#1437C212yesmaximal, complemented
11C7×#1434C211yesmaximal, characteristic, complemented
12C23×C7×D4C2211yescharacteristic
13C22×C7×C4⋊C4C2212yes—
14C22×C7×C4⋊C4C2211yescharacteristic
15C22×C7×C22⋊C4C2212yes—
16C22×C7×C22⋊C4C2212yes—
17C22×C7×C22⋊C4C2212yes—
18C22×C7×C22⋊C4C2212yes—
19C22×C7×C22⋊C4C2212yes—
20C22×C7×C22⋊C4C2212yes—
21C22×C42×C7C2211yescharacteristic
22C22×C42×C7C2211yescharacteristic
23C22×C42×C7C2211yescharacteristic
24C7×#390—24no—
25C7×#388—28no—
26C7×#376—24no—
27C2×C7×#95C2211yescharacteristic
28C2×C7×#95C2211yescharacteristic
29C2×C7×#95C2211yescharacteristic
30C2×C7×#95C2211yescharacteristic
31C2×C7×#95C2212yes—
32C2×C7×#95C2212yes—
33C2×C7×#95C2211yescharacteristic
34C2×C7×#95C2211yescharacteristic
35C2×C7×#95C2212yes—
36C2×C7×#95C2212yes—
37C2×C7×#95C2212yes—
38#15120C711yesmaximal, characteristic, direct product factor, Sylow
39C25×C7C2312yes—
40C22×C7×D4—24no—
41C22×C7×D4—22no—
42C22×C7×D4—22no—
43C22×C7×D4—22no—
44C22×C7×D4—42no—
45C23×C4×C7C2312yes—
46C23×C4×C7C2312yes—
47C23×C4×C7C2311yescharacteristic
48C23×C4×C7C2311yescharacteristic
49C23×C4×C7C2311yescharacteristic
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2311yescharacteristic
52C23×C4×C7C2312yes—
53C23×C4×C7C2311yescharacteristic
54C23×C4×C7C2311yescharacteristic
55C2×C7×C4⋊C4—24no—
56C2×C7×C4⋊C4—22no—
57C2×C7×C4⋊C4—42no—
58C2×C7×C4⋊C4—42no—
59C2×C7×C4⋊C4—42no—
60C2×C7×C22⋊C4—24no—
61C2×C7×C22⋊C4—24no—
62C2×C7×C22⋊C4—24no—
63C2×C7×C22⋊C4—24no—
64C2×C7×C22⋊C4—24no—
65C2×C7×C22⋊C4—24no—
66C2×C7×C22⋊C4—24no—
67C2×C7×C22⋊C4—24no—
68C2×C7×C22⋊C4—24no—
69C2×C7×C22⋊C4—24no—
70C2×C7×C22⋊C4—24no—
71C2×C7×C22⋊C4—24no—
72C2×C7×C22⋊C4—42no—
73C2×C7×C22⋊C4—42no—
74C2×C7×C22⋊C4—42no—
75C2×C7×C22⋊C4—42no—
76C2×C7×C22⋊C4—42no—
77C2×C7×C22⋊C4—42no—
78C2×C42×C7—22no—
79C2×C42×C7—22no—
80C2×C42×C7—22no—
81C2×C42×C7—22no—
82C2×C42×C7—22no—
83C2×C42×C7—22no—
84C2×C42×C7—22no—
85C2×C42×C7D414yes—
86C2×C42×C7D414yescomplemented
87C7×#95—22no—
88C7×#95—22no—
89C7×#95—22no—
90C7×#95—22no—
91C7×#95—24no—
92C7×#95—24no—
93C7×#95—22no—
94C7×#95—24no—
95C7×#95—22no—
96C7×#95—42no—
97C7×#95—42no—
98C2×#390C2×C711yescharacteristic
99C2×#388C2×C712yescomplemented
100C2×#376C2×C711yescharacteristic, complemented
101#1444C2×C711yescharacteristic, complemented
102#1442C2×C711yescharacteristic, complemented
103#1440C2×C712yescomplemented
104#1439C2×C712yescomplemented
105#1438C2×C711yescharacteristic
106#1438C2×C711yescharacteristic
107#1437C2×C712yescomplemented
108#1434C2×C711yescharacteristic, complemented
109C24×C7—22no—
110C24×C7—22no—
111C24×C7—22no—
112C24×C7—22no—
113C24×C7—22no—
114C24×C7—22no—
115C24×C7—22no—
116C24×C7—22no—
117C24×C7—22no—
118C24×C7—22no—
119C24×C7—22no—
120C24×C7—22no—
121C24×C7—22no—
122C24×C7—22no—
123C24×C7#4114yes—
124C24×C7C2411yescharacteristic
125C2×C7×D4—28no—
126C2×C7×D4—48no—
127C2×C7×D4—48no—
128C2×C7×D4—44no—
129C2×C7×D4—44no—
130C22×C4×C7—21no—
131C22×C4×C7—21no—
132C22×C4×C7—21no—
133C22×C4×C7—21no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—21no—
137C22×C4×C7—21no—
138C22×C4×C7—21no—
139C22×C4×C7—21no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—22no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—21no—
146C22×C4×C7—21no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—22no—
160C22×C4×C7—22no—
161C22×C4×C7—22no—
162C22×C4×C7—22no—
163C22×C4×C7—22no—
164C22×C4×C7—22no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7C2×D412yes—
177C22×C4×C7C2×D412yes—
178C22×C4×C7C2×D412yes—
179C22×C4×C7C2×D412yes—
180C22×C4×C7C2×D412yes—
181C22×C4×C7C2×D412yes—
182C22×C4×C7#4114yes—
183C22×C4×C7#4112yes—
184C22×C4×C7#4112yes—
185C22×C4×C7#4112yes—
186C22×C4×C7#4112yes—
187C22×C4×C7#4112yes—
188C7×C4⋊C4—44no—
189C7×C4⋊C4—48no—
190C7×C22⋊C4—216no—
191C7×C22⋊C4—48no—
192C7×C22⋊C4—48no—
193C7×C22⋊C4—48no—
194C7×C22⋊C4—48no—
195C7×C22⋊C4—48no—
196C42×C7—28no—
197C42×C7—28no—
198C42×C7—28no—
199C23×D4C22×C711yescharacteristic
200C22×C4⋊C4C22×C712yes—
201C22×C4⋊C4C22×C711yescharacteristic
202C22×C22⋊C4C22×C712yes—
203C22×C22⋊C4C22×C712yes—
204C22×C22⋊C4C22×C712yes—
205C22×C22⋊C4C22×C712yes—
206C22×C22⋊C4C22×C712yes—
207C22×C22⋊C4C22×C712yes—
208C22×C42C22×C711yescharacteristic
209C22×C42C22×C711yescharacteristic
210C22×C42C22×C711yescharacteristic
211#390—24no—
212#388—28no—
213#376—24no—
214C2×#95C22×C712yes—
215C2×#95C22×C711yescharacteristic
216C2×#95C22×C711yescharacteristic
217C2×#95C22×C712yes—
218C2×#95C22×C711yescharacteristic
219C2×#95C22×C711yescharacteristic
220C2×#95C22×C711yescharacteristic
221C2×#95C22×C711yescharacteristic
222C2×#95C22×C712yes—
223C2×#95C22×C712yes—
224C2×#95C22×C712yes—
225C23×C7—24no—
226C23×C7—24no—
227C23×C7—24no—
228C23×C7—24no—
229C23×C7—24no—
230C23×C7—24no—
231C23×C7—24no—
232C23×C7—42no—
233C23×C7—42no—
234C23×C7—42no—
235C23×C7—42no—
236C23×C7—42no—
237C23×C7—42no—
238C23×C7—42no—
239C23×C7—42no—
240C23×C7—42no—
241C23×C7—42no—
242C23×C7—42no—
243C23×C7—42no—
244C23×C7—42no—
245C23×C7—42no—
246C23×C7—42no—
247C23×C7—42no—
248C23×C7—42no—
249C23×C7—42no—
250C23×C7—42no—
251C23×C7—42no—
252C23×C7—42no—
253C23×C7—42no—
254C23×C7—42no—
255C23×C7—42no—
256C23×C7—42no—
257C23×C7—42no—
258C23×C7—42no—
259C23×C7—42no—
260C23×C7C22×D411yescharacteristic
261C23×C7C22×D411yescharacteristic
262C23×C7C2×#4111yescharacteristic
263C23×C7C2×#4111yescharacteristic
264C23×C7C2×#4111yescharacteristic
265C23×C7C2×#4112yes—
266C23×C7C2×#4111yescharacteristic
267C23×C7C2×#4111yescharacteristic
268C23×C7C2×#4112yes—
269C23×C7H(5,𝔽2)12yes—
270C23×C7H(5,𝔽2)12yes—
271C7×D4—416no—
272C2×C4×C7—22no—
273C2×C4×C7—22no—
274C2×C4×C7—22no—
275C2×C4×C7—22no—
276C2×C4×C7—22no—
277C2×C4×C7—22no—
278C2×C4×C7—22no—
279C2×C4×C7—22no—
280C2×C4×C7—24no—
281C2×C4×C7—24no—
282C2×C4×C7—22no—
283C2×C4×C7—22no—
284C2×C4×C7—22no—
285C2×C4×C7—22no—
286C2×C4×C7—22no—
287C2×C4×C7—24no—
288C2×C4×C7—24no—
289C2×C4×C7—22no—
290C2×C4×C7—22no—
291C2×C4×C7—24no—
292C2×C4×C7—24no—
293C2×C4×C7—24no—
294C2×C4×C7—24no—
295C2×C4×C7—24no—
296C2×C4×C7—41no—
297C2×C4×C7—41no—
298C2×C4×C7—42no—
299C2×C4×C7—42no—
300C2×C4×C7—41no—
301C2×C4×C7—41no—
302C2×C4×C7—42no—
303C2×C4×C7—41no—
304C2×C4×C7—41no—
305C2×C4×C7—41no—
306C2×C4×C7—41no—
307C2×C4×C7—42no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—42no—
320C2×C4×C7—42no—
321C2×C4×C7—42no—
322C2×C4×C7—42no—
323C2×C4×C7—42no—
324C2×C4×C7—42no—
325C2×C4×C7—42no—
326C2×C4×C7—42no—
327C2×C4×C7—42no—
328C2×C4×C7#12114yes—
329C2×C4×C7#12314yes—
330C25C23×C712yes—
331C22×D4—24no—
332C22×D4—22no—
333C22×D4—22no—
334C22×D4—22no—
335C22×D4—42no—
336C23×C4C23×C712yes—
337C23×C4C23×C712yes—
338C23×C4C23×C711yescharacteristic
339C23×C4C23×C711yescharacteristic
340C23×C4C23×C711yescharacteristic
341C23×C4C23×C712yes—
342C23×C4C23×C711yescharacteristic
343C23×C4C23×C711yescharacteristic
344C23×C4C23×C711yescharacteristic
345C23×C4C23×C711yescharacteristic
346C2×C4⋊C4—24no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—42no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—42no—
364C2×C22⋊C4—42no—
365C2×C22⋊C4—42no—
366C2×C22⋊C4—42no—
367C2×C22⋊C4—42no—
368C2×C22⋊C4—42no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42C7×D414yes—
377C2×C42C7×D414yescomplemented
378#95—22no—
379#95—22no—
380#95—22no—
381#95—22no—
382#95—24no—
383#95—24no—
384#95—22no—
385#95—24no—
386#95—22no—
387#95—42no—
388#95—42no—
389C22×C7—44no—
390C22×C7—44no—
391C22×C7—44no—
392C22×C7—44no—
393C22×C7—44no—
394C22×C7—44no—
395C22×C7—44no—
396C22×C7—82no—
397C22×C7—82no—
398C22×C7—82no—
399C22×C7—82no—
400C22×C7—82no—
401C22×C7—82no—
402C22×C7—82no—
403C22×C7—82no—
404C22×C7C2×#12111yescharacteristic
405C22×C7C2×#12311yescharacteristic
406C22×C7#52511yescharacteristic
407C22×C7#52511yescharacteristic
408C22×C7#52512yes—
409C22×C7#52911yescharacteristic
410C22×C7#52911yescharacteristic
411C22×C7#52912yes—
412C22×C7#53211yescharacteristic
413C22×C7#53211yescharacteristic
414C22×C7#53211yescharacteristic
415C22×C7#53511yescharacteristic
416C22×C7#53512yes—
417C22×C7#53511yescharacteristic
418C22×C7#54012yes—
419C22×C7#55112yes—
420C22×C7#55112yes—
421C22×C7#55112yes—
422C22×C7#55112yes—
423C22×C7#55312yes—
424C22×C7#55312yes—
425C22×C7#55512yes—
426C22×C7#55512yes—
427C4×C7—24no—
428C4×C7—24no—
429C4×C7—42no—
430C4×C7—44no—
431C4×C7—42no—
432C4×C7—42no—
433C4×C7—42no—
434C4×C7—42no—
435C4×C7—82no—
436C4×C7—82no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24C7×#4114yes—
452C24C24×C711yescharacteristic
453C2×D4—28no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—44no—
457C2×D4—44no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4C2×C7×D412yes—
505C22×C4C2×C7×D412yes—
506C22×C4C2×C7×D412yes—
507C22×C4C2×C7×D412yes—
508C22×C4C2×C7×D412yes—
509C22×C4C2×C7×D412yes—
510C22×C4C7×#4114yes—
511C22×C4C7×#4112yes—
512C22×C4C7×#4112yes—
513C22×C4C7×#4112yes—
514C22×C4C7×#4112yes—
515C22×C4C7×#4112yes—
516C4⋊C4—44no—
517C4⋊C4—48no—
518C22⋊C4—216no—
519C22⋊C4—48no—
520C22⋊C4—48no—
521C22⋊C4—48no—
522C22⋊C4—48no—
523C22⋊C4—48no—
524C42—28no—
525C42—28no—
526C42—28no—
527C2×C7—84no—
528C2×C7#239211yescharacteristic
529C2×C7#248211yescharacteristic
530C2×C7#250011yescharacteristic
531C2×C7#252612yes—
532C2×C7#253112yes—
533C2×C7#259811yescharacteristic
534C2×C7#260312yes—
535C2×C7#261011yescharacteristic
536C2×C7#261012yes—
537C2×C7#261911yescharacteristic
538C2×C7#285411yescharacteristic
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23C22×C7×D411yescharacteristic
575C23C22×C7×D411yescharacteristic
576C23C2×C7×#4111yescharacteristic
577C23C2×C7×#4111yescharacteristic
578C23C2×C7×#4111yescharacteristic
579C23C2×C7×#4112yes—
580C23C2×C7×#4111yescharacteristic
581C23C2×C7×#4111yescharacteristic
582C23C2×C7×#4112yes—
583C23C7×H(5,𝔽2)12yes—
584C23C7×H(5,𝔽2)12yes—
585D4—416no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4C7×#12114yes—
643C2×C4C7×#12314yes—
644C7#1512011yescharacteristic, direct product factor, Sylow
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—82no—
659C22—82no—
660C22C2×C7×#12111yescharacteristic
661C22C2×C7×#12311yescharacteristic
662C22C7×#52511yescharacteristic
663C22C7×#52512yes—
664C22C7×#52511yescharacteristic
665C22C7×#52912yes—
666C22C7×#52911yescharacteristic
667C22C7×#52911yescharacteristic
668C22C7×#53211yescharacteristic
669C22C7×#53211yescharacteristic
670C22C7×#53211yescharacteristic
671C22C7×#53511yescharacteristic
672C22C7×#53511yescharacteristic
673C22C7×#53512yes—
674C22C7×#54012yes—
675C22C7×#55112yes—
676C22C7×#55112yes—
677C22C7×#55112yes—
678C22C7×#55112yes—
679C22C7×#55312yes—
680C22C7×#55312yes—
681C22C7×#55512yes—
682C22C7×#55512yes—
683C4—24no—
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—44no—
689C4—42no—
690C4—42no—
691C4—82no—
692C4—82no—
693C2—84no—
694C2C7×#239211yescharacteristic
695C2C7×#248211yescharacteristic
696C2C7×#250011yescharacteristic
697C2C7×#252612yes—
698C2C7×#253112yes—
699C2C7×#259811yescharacteristic
700C2C7×#260312yes—
701C2C7×#261011yescharacteristic
702C2C7×#261012yes—
703C2C7×#261911yescharacteristic
704C2C7×#285411yescharacteristic
subgroupG/H
center, socleC24×C7C24
commutator, Frattini, cosocleC24C24×C7
prime radicalC23×C7×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#388C2semidirect
3. C2×C7×#376C2semidirect
4. C7×#1444C2semidirect
5. C7×#1442C2semidirect
6. C7×#1440C2semidirect
7. C7×#1439C2semidirect
10. C7×#1437C2semidirect
11. C7×#1434C2semidirect
38. #15120C7direct (N × H)
86. C2×C42×C7D4semidirect
99. C2×#388C2×C7semidirect
100. C2×#376C2×C7semidirect
101. #1444C2×C7semidirect
102. #1442C2×C7semidirect
103. #1440C2×C7semidirect
104. #1439C2×C7semidirect
107. #1437C2×C7semidirect
108. #1434C2×C7semidirect
377. C2×C42C7×D4semidirect
644. C7#15120direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#3902
C2×C7×#3882
C2×C7×#3762
C7×#14442
C7×#14422
C7×#14402
C7×#14392
C7×#14382
C7×#14372
C7×#14342
#151207