Finite Group Databasebeta

← C7×#14533 #13191749

Subgroups — C7×#14533 #13191749

Order 1792.

2290 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#392C211yesmaximal, characteristic
2C2×C7×#386C212yesmaximal, complemented
3C2×C7×#386C212yesmaximal, complemented
4C7×#1443C212yesmaximal, complemented
5C7×#1440C211yesmaximal, characteristic, complemented
6C7×#1438C212yesmaximal, complemented
7C7×#1437C211yesmaximal, characteristic, complemented
8C7×#1437C212yesmaximal, complemented
9C7×C22⋊#95C212yesmaximal, complemented
10C23×C7×D4C2211yescharacteristic
11C23×C7×D4C2212yes—
12C24×C4×C7C2212yes—
13C22×C7×C22⋊C4C2211yescharacteristic
14C22×C7×C22⋊C4C2212yes—
15C22×C7×C22⋊C4C2212yes—
16C22×C7×C22⋊C4C2212yes—
17C22×C7×C22⋊C4C2211yescharacteristic
18C22×C7×C22⋊C4C2212yes—
19C22×C7×C22⋊C4C2211yescharacteristic
20C22×C7×C22⋊C4C2212yes—
21C22×C42×C7C2211yescharacteristic
22C7×#392C418yescomplemented
23C7×#386—28no—
24C7×#386—28no—
25C2×C7×#95C2212yes—
26C2×C7×#95C2212yes—
27C2×C7×#95C2212yes—
28C2×C7×#95C2212yes—
29C2×C7×#95C2211yescharacteristic
30C2×C7×#95C2212yes—
31C2×C7×#95C2212yes—
32C2×C7×#95C2212yes—
33C2×C7×#95C2211yescharacteristic
34#14533C711yesmaximal, characteristic, direct product factor, Sylow
35C25×C7C2311yescharacteristic
36C25×C7C2312yes—
37C22×C7×D4—24no—
38C22×C7×D4—24no—
39C22×C7×D4—24no—
40C22×C7×D4—24no—
41C22×C7×D4—42no—
42C22×C7×D4—42no—
43C22×C7×D4—41no—
44C22×C7×D4—41no—
45C22×C7×D4—42no—
46C22×C7×D4—42no—
47C22×C7×D4C2×C414yes—
48C22×C7×D4C2×C418yescomplemented
49C23×C4×C7—24no—
50C23×C4×C7—24no—
51C23×C4×C7—24no—
52C23×C4×C7—42no—
53C23×C4×C7—42no—
54C23×C4×C7—42no—
55C23×C4×C7—42no—
56C23×C4×C7C2312yes—
57C23×C4×C7C2311yescharacteristic
58C23×C4×C7C2312yes—
59C23×C4×C7C2311yescharacteristic
60C23×C4×C7C2312yes—
61C23×C4×C7C2312yes—
62C23×C4×C7C2312yes—
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—42no—
71C2×C7×C22⋊C4—41no—
72C2×C7×C22⋊C4—42no—
73C2×C7×C22⋊C4—41no—
74C2×C7×C22⋊C4—42no—
75C2×C7×C22⋊C4—42no—
76C2×C7×C22⋊C4—42no—
77C2×C7×C22⋊C4—41no—
78C2×C7×C22⋊C4—42no—
79C2×C7×C22⋊C4—42no—
80C2×C7×C22⋊C4—42no—
81C2×C7×C22⋊C4—41no—
82C2×C7×C22⋊C4C2×C414yescomplemented
83C2×C7×C22⋊C4C2×C418yescomplemented
84C2×C7×C22⋊C4D418yescomplemented
85C2×C42×C7—42no—
86C2×C42×C7—41no—
87C7×#95—24no—
88C7×#95—24no—
89C7×#95—24no—
90C7×#95—24no—
91C7×#95—41no—
92C7×#95—42no—
93C7×#95—42no—
94C7×#95—42no—
95C7×#95C2×C414yescomplemented
96C2×#392C2×C711yescharacteristic
97C2×#386C2×C712yescomplemented
98C2×#386C2×C712yescomplemented
99#1443C2×C712yescomplemented
100#1440C2×C711yescharacteristic, complemented
101#1438C2×C712yescomplemented
102#1437C2×C711yescharacteristic, complemented
103#1437C2×C712yescomplemented
104C22⋊#95C2×C712yescomplemented
105C24×C7—22no—
106C24×C7—22no—
107C24×C7—22no—
108C24×C7—22no—
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—21no—
121C24×C7—21no—
122C24×C7—22no—
123C24×C7—22no—
124C24×C7—22no—
125C24×C7C22×C412yes—
126C24×C7C22×C414yes—
127C24×C7C2×D414yes—
128C24×C7#4114yes—
129C24×C7C2411yescharacteristic
130C2×C7×D4—216no—
131C2×C7×D4—216no—
132C2×C7×D4—44no—
133C2×C7×D4—48no—
134C2×C7×D4—48no—
135C2×C7×D4—44no—
136C2×C7×D4—48no—
137C2×C7×D4—44no—
138C2×C7×D4—48no—
139C2×C7×D4—48no—
140C2×C7×D4—48no—
141C2×C7×D4—48no—
142C22×C4×C7—22no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—21no—
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—21no—
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—21no—
173C22×C4×C7—21no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—48no—
182C22×C4×C7—48no—
183C22×C4×C7—48no—
184C22×C4×C7—48no—
185C22×C4×C7—48no—
186C22×C4×C7—48no—
187C22×C4×C7—48no—
188C22×C4×C7C22×C412yes—
189C22×C4×C7C22×C414yes—
190C22×C4×C7C22×C412yes—
191C22×C4×C7C2×D414yes—
192C22×C4×C7C2×D414yes—
193C22×C4×C7#4114yes—
194C7×C22⋊C4—48no—
195C7×C22⋊C4—44no—
196C7×C22⋊C4—48no—
197C7×C22⋊C4—44no—
198C7×C22⋊C4—48no—
199C7×C22⋊C4—48no—
200C7×C22⋊C4—48no—
201C7×C22⋊C4—44no—
202C42×C7—44no—
203C23×D4C22×C711yescharacteristic
204C23×D4C22×C712yes—
205C24×C4C22×C712yes—
206C22×C22⋊C4C22×C712yes—
207C22×C22⋊C4C22×C712yes—
208C22×C22⋊C4C22×C712yes—
209C22×C22⋊C4C22×C711yescharacteristic
210C22×C22⋊C4C22×C711yescharacteristic
211C22×C22⋊C4C22×C712yes—
212C22×C22⋊C4C22×C711yescharacteristic
213C22×C22⋊C4C22×C712yes—
214C22×C42C22×C711yescharacteristic
215#392C4×C718yescomplemented
216#386—28no—
217#386—28no—
218C2×#95C22×C712yes—
219C2×#95C22×C712yes—
220C2×#95C22×C712yes—
221C2×#95C22×C712yes—
222C2×#95C22×C711yescharacteristic
223C2×#95C22×C712yes—
224C2×#95C22×C712yes—
225C2×#95C22×C712yes—
226C2×#95C22×C711yescharacteristic
227C23×C7—24no—
228C23×C7—24no—
229C23×C7—24no—
230C23×C7—24no—
231C23×C7—24no—
232C23×C7—24no—
233C23×C7—24no—
234C23×C7—24no—
235C23×C7—24no—
236C23×C7—24no—
237C23×C7—24no—
238C23×C7—24no—
239C23×C7—24no—
240C23×C7—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—24no—
246C23×C7—22no—
247C23×C7—22no—
248C23×C7—22no—
249C23×C7—24no—
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×C7—42no—
261C23×C7—42no—
262C23×C7—42no—
263C23×C7—42no—
264C23×C7—42no—
265C23×C7—42no—
266C23×C7—42no—
267C23×C7—42no—
268C23×C7—42no—
269C23×C7—42no—
270C23×C7—42no—
271C23×C7—42no—
272C23×C7—41no—
273C23×C7—42no—
274C23×C7—42no—
275C23×C7—42no—
276C23×C7—41no—
277C23×C7—42no—
278C23×C7—42no—
279C23×C7—41no—
280C23×C7—42no—
281C23×C7—41no—
282C23×C7C4×D418yes—
283C23×C7C23×C411yescharacteristic
284C23×C7C22×D412yes—
285C23×C7C2×#4112yes—
286C23×C7C2×#4112yes—
287C23×C7H(5,𝔽2)12yes—
288C23×C7H(5,𝔽2)12yes—
289C23×C7H(5,𝔽2)12yes—
290C23×C7H(5,𝔽2)11yescharacteristic
291C23×C7H(5,𝔽2)11yescharacteristic
292C7×D4—416no—
293C7×D4—432no—
294C2×C4×C7—24no—
295C2×C4×C7—24no—
296C2×C4×C7—24no—
297C2×C4×C7—22no—
298C2×C4×C7—24no—
299C2×C4×C7—22no—
300C2×C4×C7—24no—
301C2×C4×C7—24no—
302C2×C4×C7—24no—
303C2×C4×C7—24no—
304C2×C4×C7—24no—
305C2×C4×C7—24no—
306C2×C4×C7—24no—
307C2×C4×C7—24no—
308C2×C4×C7—24no—
309C2×C4×C7—24no—
310C2×C4×C7—432no—
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—41no—
323C2×C4×C7—42no—
324C2×C4×C7—42no—
325C2×C4×C7—41no—
326C2×C4×C7—42no—
327C2×C4×C7—41no—
328C2×C4×C7—42no—
329C2×C4×C7—42no—
330C2×C4×C7—41no—
331C2×C4×C7—42no—
332C2×C4×C7—42no—
333C2×C4×C7—42no—
334C2×C4×C7—42no—
335C2×C4×C7—42no—
336C2×C4×C7—42no—
337C2×C4×C7—42no—
338C2×C4×C7—42no—
339C2×C4×C7—42no—
340C25C23×C711yescharacteristic
341C25C23×C712yes—
342C22×D4—24no—
343C22×D4—24no—
344C22×D4—24no—
345C22×D4—24no—
346C22×D4—42no—
347C22×D4—42no—
348C22×D4—41no—
349C22×D4—41no—
350C22×D4—42no—
351C22×D4—42no—
352C22×D4C2×C4×C714yes—
353C22×D4C2×C4×C718yescomplemented
354C23×C4—24no—
355C23×C4—24no—
356C23×C4—24no—
357C23×C4—42no—
358C23×C4—42no—
359C23×C4—42no—
360C23×C4—42no—
361C23×C4C23×C712yes—
362C23×C4C23×C711yescharacteristic
363C23×C4C23×C711yescharacteristic
364C23×C4C23×C712yes—
365C23×C4C23×C712yes—
366C23×C4C23×C712yes—
367C23×C4C23×C712yes—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—42no—
376C2×C22⋊C4—41no—
377C2×C22⋊C4—42no—
378C2×C22⋊C4—41no—
379C2×C22⋊C4—42no—
380C2×C22⋊C4—42no—
381C2×C22⋊C4—42no—
382C2×C22⋊C4—41no—
383C2×C22⋊C4—42no—
384C2×C22⋊C4—42no—
385C2×C22⋊C4—42no—
386C2×C22⋊C4—41no—
387C2×C22⋊C4C2×C4×C714yescomplemented
388C2×C22⋊C4C2×C4×C718yescomplemented
389C2×C22⋊C4C7×D418yescomplemented
390C2×C42—42no—
391C2×C42—41no—
392#95—24no—
393#95—24no—
394#95—24no—
395#95—24no—
396#95—41no—
397#95—42no—
398#95—42no—
399#95—42no—
400#95C2×C4×C714yescomplemented
401C22×C7—28no—
402C22×C7—28no—
403C22×C7—28no—
404C22×C7—44no—
405C22×C7—44no—
406C22×C7—44no—
407C22×C7—44no—
408C22×C7—44no—
409C22×C7—44no—
410C22×C7—44no—
411C22×C7—44no—
412C22×C7—44no—
413C22×C7—44no—
414C22×C7—44no—
415C22×C7—44no—
416C22×C7—44no—
417C22×C7—42no—
418C22×C7—42no—
419C22×C7—44no—
420C22×C7—42no—
421C22×C7—82no—
422C22×C7—82no—
423C22×C7—82no—
424C22×C7—82no—
425C22×C7C2×C4×D412yes—
426C22×C7C4×#4111yescharacteristic
427C22×C7#51811yescharacteristic
428C22×C7#51812yes—
429C22×C7#51811yescharacteristic
430C22×C7#53412yes—
431C22×C7#53512yes—
432C22×C7#53812yes—
433C22×C7#53812yes—
434C22×C7#53812yes—
435C22×C7#54012yes—
436C22×C7D4211yescharacteristic
437C22×C7#54612yes—
438C22×C7#54612yes—
439C22×C7#54612yes—
440C22×C7#55111yescharacteristic
441C22×C7#55312yes—
442C22×C7#55312yes—
443C22×C7#56012yes—
444C22×C7#56011yescharacteristic
445C22×C7#56011yescharacteristic
446C4×C7—44no—
447C4×C7—42no—
448C4×C7—42no—
449C4×C7—44no—
450C4×C7—44no—
451C4×C7—44no—
452C4×C7—82no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—21no—
469C24—21no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24C22×C4×C712yes—
474C24C22×C4×C714yes—
475C24C2×C7×D414yes—
476C24C7×#4114yes—
477C24C24×C711yescharacteristic
478C2×D4—216no—
479C2×D4—216no—
480C2×D4—44no—
481C2×D4—48no—
482C2×D4—48no—
483C2×D4—44no—
484C2×D4—48no—
485C2×D4—44no—
486C2×D4—48no—
487C2×D4—48no—
488C2×D4—48no—
489C2×D4—48no—
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—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4—48no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4C22×C4×C712yes—
537C22×C4C22×C4×C714yes—
538C22×C4C22×C4×C712yes—
539C22×C4C2×C7×D414yes—
540C22×C4C2×C7×D414yes—
541C22×C4C7×#4114yes—
542C22⋊C4—48no—
543C22⋊C4—44no—
544C22⋊C4—48no—
545C22⋊C4—44no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—44no—
550C42—44no—
551C2×C7—48no—
552C2×C7—82no—
553C2×C7#232112yes—
554C2×C7#233311yescharacteristic
555C2×C7#235811yescharacteristic
556C2×C7#236412yes—
557C2×C7#238011yescharacteristic
558C2×C7#267812yes—
559C2×C7#268812yes—
560C2×C7#270312yes—
561C2×C7#277812yes—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—24no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—41no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—42no—
616C23—41no—
617C23C4×C7×D418yes—
618C23C23×C4×C711yescharacteristic
619C23C22×C7×D412yes—
620C23C2×C7×#4112yes—
621C23C2×C7×#4112yes—
622C23C7×H(5,𝔽2)12yes—
623C23C7×H(5,𝔽2)12yes—
624C23C7×H(5,𝔽2)12yes—
625C23C7×H(5,𝔽2)11yescharacteristic
626C23C7×H(5,𝔽2)11yescharacteristic
627D4—416no—
628D4—432no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—432no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C7#1453311yescharacteristic, direct product factor, Sylow
676C22—28no—
677C22—28no—
678C22—28no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—42no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22C2×C4×C7×D412yes—
701C22C4×C7×#4111yescharacteristic
702C22C7×#51811yescharacteristic
703C22C7×#51812yes—
704C22C7×#51811yescharacteristic
705C22C7×#53412yes—
706C22C7×#53512yes—
707C22C7×#53812yes—
708C22C7×#53812yes—
709C22C7×#53812yes—
710C22C7×#54012yes—
711C22C7×D4211yescharacteristic
712C22C7×#54612yes—
713C22C7×#54612yes—
714C22C7×#54612yes—
715C22C7×#55111yescharacteristic
716C22C7×#55312yes—
717C22C7×#55312yes—
718C22C7×#56012yes—
719C22C7×#56011yescharacteristic
720C22C7×#56011yescharacteristic
721C4—44no—
722C4—44no—
723C4—44no—
724C4—44no—
725C4—42no—
726C4—42no—
727C4—82no—
728C2—48no—
729C2—82no—
730C2C7×#232112yes—
731C2C7×#233311yescharacteristic
732C2C7×#235811yescharacteristic
733C2C7×#236412yes—
734C2C7×#238011yescharacteristic
735C2C7×#267812yes—
736C2C7×#268812yes—
737C2C7×#270312yes—
738C2C7×#277812yes—
subgroupG/H
center, socleC24×C7C24
commutatorC23C23×C4×C7
Frattini, cosocleC24C24×C7
prime radicalC2×C7×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C7×#386C2semidirect
3. C2×C7×#386C2semidirect
4. C7×#1443C2semidirect
5. C7×#1440C2semidirect
6. C7×#1438C2semidirect
7. C7×#1437C2semidirect
8. C7×#1437C2semidirect
9. C7×C22⋊#95C2semidirect
22. C7×#392C4semidirect
34. #14533C7direct (N × H)
48. C22×C7×D4C2×C4semidirect
82. C2×C7×C22⋊C4C2×C4semidirect
83. C2×C7×C22⋊C4C2×C4semidirect
84. C2×C7×C22⋊C4D4semidirect
95. C7×#95C2×C4semidirect
97. C2×#386C2×C7semidirect
98. C2×#386C2×C7semidirect
99. #1443C2×C7semidirect
100. #1440C2×C7semidirect
101. #1438C2×C7semidirect
102. #1437C2×C7semidirect
103. #1437C2×C7semidirect
104. C22⋊#95C2×C7semidirect
215. #392C4×C7semidirect
353. C22×D4C2×C4×C7semidirect
387. C2×C22⋊C4C2×C4×C7semidirect
388. C2×C22⋊C4C2×C4×C7semidirect
389. C2×C22⋊C4C7×D4semidirect
400. #95C2×C4×C7semidirect
675. C7#14533direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#3922
C2×C7×#3862
C7×#14432
C7×#14402
C7×#14382
C7×#14372
C7×C22⋊#952
#145337