Finite Group Databasebeta

← C7×#15123 #13192339

Subgroups — C7×#15123 #13192339

Order 1792.

3458 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#121C212yesmaximal, complemented
2C22×C4×C7×D4C211yesmaximal, characteristic, complemented
3C2×C7×#392C212yesmaximal, complemented
4C2×C7×#390C211yesmaximal, characteristic, complemented
5C2×C7×#380C212yesmaximal, complemented
6C7×#1439C212yesmaximal, complemented
7C7×#1438C214yesmaximal, complemented
8C7×C4⋊#95C211yesmaximal, characteristic, complemented
9C23×C7×D4C2211yescharacteristic
10C23×C7×D4C2211yescharacteristic
11C23×C7×D4C2214yes—
12C24×C4×C7C2212yes—
13C2×C7×#121—28no—
14C2×C7×#121—28no—
15C2×C7×#121—28no—
16C2×C4×C7×D4—28no—
17C2×C4×C7×D4—24no—
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C7×C4⋊C4C2211yescharacteristic
20C22×C7×C4⋊C4C2212yes—
21C22×C7×C22⋊C4C2212yes—
22C22×C7×C22⋊C4C2214yes—
23C22×C7×C22⋊C4C2212yes—
24C22×C7×C22⋊C4C2214yes—
25C22×C7×C22⋊C4C2212yes—
26C22×C42×C7C2211yescharacteristic
27C7×#392—28no—
28C7×#390—24no—
29C7×#380—28no—
30C2×C7×#95C2214yes—
31C2×C7×#95C2212yes—
32C2×C7×#95C2212yes—
33#15123C711yesmaximal, characteristic, direct product factor, Sylow
34C25×C7C2312yes—
35C25×C7C2312yes—
36C22×C7×D4—24no—
37C22×C7×D4—24no—
38C22×C7×D4—28no—
39C22×C7×D4—28no—
40C22×C7×D4—28no—
41C22×C7×D4—28no—
42C22×C7×D4—22no—
43C22×C7×D4—28no—
44C22×C7×D4—24no—
45C22×C7×D4—24no—
46C22×C7×D4—22no—
47C22×C7×D4—22no—
48C22×C7×D4—22no—
49C22×C7×D4—44no—
50C22×C7×D4—44no—
51C22×C7×D4D414yescomplemented
52C22×C7×D4D414yescomplemented
53C23×C4×C7—24no—
54C23×C4×C7—24no—
55C23×C4×C7—24no—
56C23×C4×C7—24no—
57C23×C4×C7—24no—
58C23×C4×C7—24no—
59C23×C4×C7D418yescomplemented
60C23×C4×C7C2312yes—
61C23×C4×C7C2314yes—
62C23×C4×C7C2311yescharacteristic
63C23×C4×C7C2312yes—
64C23×C4×C7C2311yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C7×#121—264no—
67C4×C7×D4—232no—
68C2×C7×C4⋊C4—24no—
69C2×C7×C4⋊C4—22no—
70C2×C7×C4⋊C4—24no—
71C2×C7×C4⋊C4—24no—
72C2×C7×C4⋊C4—24no—
73C2×C7×C4⋊C4—22no—
74C2×C7×C4⋊C4D418yescomplemented
75C2×C7×C22⋊C4—24no—
76C2×C7×C22⋊C4—28no—
77C2×C7×C22⋊C4—24no—
78C2×C7×C22⋊C4—24no—
79C2×C7×C22⋊C4—28no—
80C2×C7×C22⋊C4—28no—
81C2×C7×C22⋊C4—28no—
82C2×C7×C22⋊C4—28no—
83C2×C7×C22⋊C4—24no—
84C2×C7×C22⋊C4—24no—
85C2×C7×C22⋊C4—24no—
86C2×C7×C22⋊C4—24no—
87C2×C7×C22⋊C4—44no—
88C2×C7×C22⋊C4—44no—
89C2×C42×C7—24no—
90C2×C42×C7D414yescomplemented
91C7×#95—28no—
92C7×#95—24no—
93C7×#95—42no—
94C22×#121C2×C712yescomplemented
95C22×C4×D4C2×C711yescharacteristic, complemented
96C2×#392C2×C712yescomplemented
97C2×#390C2×C711yescharacteristic, complemented
98C2×#380C2×C712yescomplemented
99#1439C2×C712yescomplemented
100#1438C2×C714yescomplemented
101C4⋊#95C2×C711yescharacteristic, complemented
102C24×C7—22no—
103C24×C7—22no—
104C24×C7—22no—
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—24no—
116C24×C7—24no—
117C24×C7—22no—
118C24×C7—22no—
119C24×C7—22no—
120C24×C7—24no—
121C24×C7—24no—
122C24×C7—22no—
123C24×C7—22no—
124C24×C7C2×D414yes—
125C24×C7C2×D414yes—
126C24×C7C2×D414yes—
127C24×C7#4114yes—
128C24×C7C2411yescharacteristic
129C2×C7×D4—28no—
130C2×C7×D4—28no—
131C2×C7×D4—216no—
132C2×C7×D4—216no—
133C2×C7×D4—232no—
134C2×C7×D4—216no—
135C2×C7×D4—28no—
136C2×C7×D4—28no—
137C2×C7×D4—416no—
138C2×C7×D4—416no—
139C2×C7×D4—416no—
140C2×C7×D4—416no—
141C2×C7×D4—416no—
142C2×C7×D4—416no—
143C2×C7×D4—44no—
144C2×C7×D4—48no—
145C2×C7×D4—44no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—24no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—24no—
156C22×C4×C7—24no—
157C22×C4×C7—22no—
158C22×C4×C7—24no—
159C22×C4×C7—21no—
160C22×C4×C7—24no—
161C22×C4×C7—22no—
162C22×C4×C7—24no—
163C22×C4×C7—21no—
164C22×C4×C7—216no—
165C22×C4×C7—216no—
166C22×C4×C7—216no—
167C22×C4×C7—24no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—24no—
172C22×C4×C7—48no—
173C22×C4×C7—48no—
174C22×C4×C7—48no—
175C22×C4×C7—48no—
176C22×C4×C7C2×D418yes—
177C22×C4×C7C2×D412yes—
178C22×C4×C7C2×D414yes—
179C22×C4×C7C2×D412yes—
180C22×C4×C7C2×D412yes—
181C22×C4×C7C2×D414yes—
182C22×C4×C7C2×D412yes—
183C22×C4×C7C2×D412yes—
184C22×C4×C7C2×D414yes—
185C22×C4×C7#4112yes—
186C22×C4×C7#4112yes—
187C7×C4⋊C4—28no—
188C7×C4⋊C4—216no—
189C7×C4⋊C4—44no—
190C7×C22⋊C4—216no—
191C7×C22⋊C4—232no—
192C7×C22⋊C4—416no—
193C7×C22⋊C4—48no—
194C7×C22⋊C4—48no—
195C42×C7—28no—
196C23×D4C22×C711yescharacteristic
197C23×D4C22×C711yescharacteristic
198C23×D4C22×C714yes—
199C24×C4C22×C712yes—
200C2×#121—28no—
201C2×#121—28no—
202C2×#121—28no—
203C2×C4×D4—28no—
204C2×C4×D4—24no—
205C22×C4⋊C4C22×C711yescharacteristic
206C22×C4⋊C4C22×C711yescharacteristic
207C22×C4⋊C4C22×C712yes—
208C22×C22⋊C4C22×C712yes—
209C22×C22⋊C4C22×C712yes—
210C22×C22⋊C4C22×C714yes—
211C22×C22⋊C4C22×C714yes—
212C22×C22⋊C4C22×C712yes—
213C22×C42C22×C711yescharacteristic
214#392—28no—
215#390—24no—
216#380—28no—
217C2×#95C22×C712yes—
218C2×#95C22×C714yes—
219C2×#95C22×C712yes—
220C23×C7—24no—
221C23×C7—24no—
222C23×C7—24no—
223C23×C7—24no—
224C23×C7—24no—
225C23×C7—24no—
226C23×C7—24no—
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—28no—
239C23×C7—24no—
240C23×C7—24no—
241C23×C7—28no—
242C23×C7—24no—
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×C7—42no—
261C23×C7—44no—
262C23×C7—44no—
263C23×C7—44no—
264C23×C7—42no—
265C23×C7—42no—
266C23×C7—42no—
267C23×C7—44no—
268C23×C7—44no—
269C23×C7—42no—
270C23×C7—44no—
271C23×C7—44no—
272C23×C7—42no—
273C23×C7—44no—
274C23×C7—44no—
275C23×C7—44no—
276C23×C7—42no—
277C23×C7#12118yescomplemented
278C23×C7C22×D412yes—
279C23×C7C22×D411yescharacteristic
280C23×C7C22×D411yescharacteristic
281C23×C7C22×D412yes—
282C23×C7C22×D411yescharacteristic
283C23×C7C2×#4111yescharacteristic
284C23×C7C2×#4112yes—
285C23×C7C2×#4111yescharacteristic
286C23×C7H(5,𝔽2)11yescharacteristic
287C23×C7H(5,𝔽2)12yes—
288C23×C72−1+411yescharacteristic
289C7×D4—232no—
290C7×D4—464no—
291C7×D4—416no—
292C2×C4×C7—22no—
293C2×C4×C7—24no—
294C2×C4×C7—22no—
295C2×C4×C7—24no—
296C2×C4×C7—22no—
297C2×C4×C7—24no—
298C2×C4×C7—24no—
299C2×C4×C7—28no—
300C2×C4×C7—24no—
301C2×C4×C7—22no—
302C2×C4×C7—22no—
303C2×C4×C7—28no—
304C2×C4×C7—28no—
305C2×C4×C7—42no—
306C2×C4×C7—42no—
307C2×C4×C7—42no—
308C2×C4×C7—44no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—44no—
312C2×C4×C7—42no—
313C2×C4×C7—44no—
314C2×C4×C7—44no—
315C2×C4×C7—432no—
316C2×C4×C7—42no—
317C2×C4×C7—42no—
318C2×C4×C7—42no—
319C2×C4×C7—44no—
320C2×C4×C7—44no—
321C2×C4×C7#12014yes—
322C2×C4×C7#12018yes—
323C2×C4×C7#12118yes—
324C2×C4×C7#12114yes—
325C2×C4×C7#12114yescomplemented
326C2×C4×C7#12714yes—
327C25C23×C712yes—
328C25C23×C712yes—
329C22×D4—24no—
330C22×D4—24no—
331C22×D4—28no—
332C22×D4—28no—
333C22×D4—28no—
334C22×D4—28no—
335C22×D4—22no—
336C22×D4—28no—
337C22×D4—24no—
338C22×D4—24no—
339C22×D4—22no—
340C22×D4—22no—
341C22×D4—22no—
342C22×D4—44no—
343C22×D4—44no—
344C22×D4C7×D414yescomplemented
345C22×D4C7×D414yescomplemented
346C23×C4—24no—
347C23×C4—24no—
348C23×C4—24no—
349C23×C4—24no—
350C23×C4—24no—
351C23×C4—24no—
352C23×C4C7×D418yescomplemented
353C23×C4C23×C712yes—
354C23×C4C23×C711yescharacteristic
355C23×C4C23×C712yes—
356C23×C4C23×C714yes—
357C23×C4C23×C711yescharacteristic
358C23×C4C23×C711yescharacteristic
359#121—264no—
360C4×D4—232no—
361C2×C4⋊C4—24no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—24no—
365C2×C4⋊C4—24no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4C7×D418yescomplemented
368C2×C22⋊C4—24no—
369C2×C22⋊C4—28no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—28no—
373C2×C22⋊C4—28no—
374C2×C22⋊C4—28no—
375C2×C22⋊C4—28no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4—24no—
380C2×C22⋊C4—44no—
381C2×C22⋊C4—44no—
382C2×C42—24no—
383C2×C42C7×D414yescomplemented
384#95—28no—
385#95—24no—
386#95—42no—
387C22×C7—28no—
388C22×C7—28no—
389C22×C7—28no—
390C22×C7—44no—
391C22×C7—44no—
392C22×C7—44no—
393C22×C7—44no—
394C22×C7—44no—
395C22×C7—44no—
396C22×C7—44no—
397C22×C7—44no—
398C22×C7—44no—
399C22×C7—44no—
400C22×C7—44no—
401C22×C7—44no—
402C22×C7—44no—
403C22×C7—48no—
404C22×C7—48no—
405C22×C7—44no—
406C22×C7—44no—
407C22×C7—82no—
408C22×C7—82no—
409C22×C7—84no—
410C22×C7—84no—
411C22×C7—82no—
412C22×C7—82no—
413C22×C7C2×#12011yescharacteristic
414C22×C7C2×#12012yes—
415C22×C7C2×#12112yes—
416C22×C7C2×#12111yescharacteristic
417C22×C7C2×#12112yes—
418C22×C7C2×#12111yescharacteristic
419C22×C7#52512yes—
420C22×C7#52511yescharacteristic
421C22×C7C2×#12711yescharacteristic
422C22×C7#53512yes—
423C22×C7#53511yescharacteristic
424C22×C7#53712yes—
425C22×C7#53711yescharacteristic
426C22×C7D4211yescharacteristic
427C22×C7D4212yes—
428C22×C7#54612yes—
429C22×C7#54612yes—
430C22×C7#54711yescharacteristic
431C22×C7#54711yescharacteristic
432C22×C7#54812yes—
433C22×C7#55012yes—
434C22×C7#55312yes—
435C22×C7#55511yescharacteristic
436C4×C7—24no—
437C4×C7—42no—
438C4×C7—44no—
439C4×C7—48no—
440C4×C7—82no—
441C4×C7#39218yescomplemented
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—24no—
456C24—24no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—24no—
461C24—24no—
462C24—22no—
463C24—22no—
464C24C2×C7×D414yes—
465C24C2×C7×D414yes—
466C24C2×C7×D414yes—
467C24C7×#4114yes—
468C24C24×C711yescharacteristic
469C2×D4—28no—
470C2×D4—28no—
471C2×D4—216no—
472C2×D4—216no—
473C2×D4—232no—
474C2×D4—216no—
475C2×D4—28no—
476C2×D4—28no—
477C2×D4—416no—
478C2×D4—416no—
479C2×D4—416no—
480C2×D4—416no—
481C2×D4—416no—
482C2×D4—416no—
483C2×D4—44no—
484C2×D4—48no—
485C2×D4—44no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—21no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—21no—
504C22×C4—216no—
505C22×C4—216no—
506C22×C4—216no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4C2×C7×D418yes—
517C22×C4C2×C7×D412yes—
518C22×C4C2×C7×D414yes—
519C22×C4C2×C7×D412yes—
520C22×C4C2×C7×D412yes—
521C22×C4C2×C7×D414yes—
522C22×C4C2×C7×D412yes—
523C22×C4C2×C7×D412yes—
524C22×C4C2×C7×D414yes—
525C22×C4C7×#4112yes—
526C22×C4C7×#4112yes—
527C4⋊C4—28no—
528C4⋊C4—216no—
529C4⋊C4—44no—
530C22⋊C4—216no—
531C22⋊C4—232no—
532C22⋊C4—416no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C42—28no—
536C2×C7—48no—
537C2×C7—84no—
538C2×C7C2×#39211yescharacteristic
539C2×C7#240712yes—
540C2×C7#240812yes—
541C2×C7#241412yes—
542C2×C7#241612yes—
543C2×C7#253511yescharacteristic
544C2×C7#253711yescharacteristic
545C2×C7#254011yescharacteristic
546C2×C7#254111yescharacteristic
547C2×C7#261511yescharacteristic
548C2×C7#284711yescharacteristic
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—28no—
568C23—24no—
569C23—24no—
570C23—28no—
571C23—24no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—44no—
597C23—44no—
598C23—42no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—42no—
606C23C7×#12118yescomplemented
607C23C22×C7×D412yes—
608C23C22×C7×D411yescharacteristic
609C23C22×C7×D411yescharacteristic
610C23C22×C7×D412yes—
611C23C22×C7×D411yescharacteristic
612C23C2×C7×#4111yescharacteristic
613C23C2×C7×#4112yes—
614C23C2×C7×#4111yescharacteristic
615C23C7×H(5,𝔽2)11yescharacteristic
616C23C7×H(5,𝔽2)12yes—
617C23C7×2−1+411yescharacteristic
618D4—232no—
619D4—464no—
620D4—416no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—28no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—28no—
633C2×C4—28no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—44no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—44no—
641C2×C4—42no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—432no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4C7×#12014yes—
651C2×C4C7×#12018yes—
652C2×C4C7×#12118yes—
653C2×C4C7×#12114yes—
654C2×C4C7×#12114yescomplemented
655C2×C4C7×#12714yes—
656C7#1512311yescharacteristic, direct product factor, Sylow
657C22—28no—
658C22—28no—
659C22—28no—
660C22—44no—
661C22—44no—
662C22—44no—
663C22—44no—
664C22—44no—
665C22—44no—
666C22—44no—
667C22—44no—
668C22—44no—
669C22—44no—
670C22—44no—
671C22—44no—
672C22—48no—
673C22—48no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—84no—
678C22—84no—
679C22—82no—
680C22—82no—
681C22—82no—
682C22—82no—
683C22C2×C7×#12012yes—
684C22C2×C7×#12011yescharacteristic
685C22C2×C7×#12112yes—
686C22C2×C7×#12112yes—
687C22C2×C7×#12111yescharacteristic
688C22C2×C7×#12111yescharacteristic
689C22C7×#52512yes—
690C22C7×#52511yescharacteristic
691C22C2×C7×#12711yescharacteristic
692C22C7×#53512yes—
693C22C7×#53511yescharacteristic
694C22C7×#53712yes—
695C22C7×#53711yescharacteristic
696C22C7×D4211yescharacteristic
697C22C7×D4212yes—
698C22C7×#54612yes—
699C22C7×#54612yes—
700C22C7×#54711yescharacteristic
701C22C7×#54711yescharacteristic
702C22C7×#54812yes—
703C22C7×#55012yes—
704C22C7×#55312yes—
705C22C7×#55511yescharacteristic
706C4—24no—
707C4—48no—
708C4—42no—
709C4—44no—
710C4—82no—
711C4C7×#39218yescomplemented
712C2—48no—
713C2—84no—
714C2C2×C7×#39211yescharacteristic
715C2C7×#240712yes—
716C2C7×#240812yes—
717C2C7×#241412yes—
718C2C7×#241612yes—
719C2C7×#253511yescharacteristic
720C2C7×#253711yescharacteristic
721C2C7×#254011yescharacteristic
722C2C7×#254111yescharacteristic
723C2C7×#261511yescharacteristic
724C2C7×#284711yescharacteristic
subgroupG/H
center, socleC24×C7C24
commutator, Frattini, cosocleC24C24×C7
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C7×#121C2semidirect
2. C22×C4×C7×D4C2semidirect
3. C2×C7×#392C2semidirect
4. C2×C7×#390C2semidirect
5. C2×C7×#380C2semidirect
6. C7×#1439C2semidirect
7. C7×#1438C2semidirect
8. C7×C4⋊#95C2semidirect
33. #15123C7direct (N × H)
51. C22×C7×D4D4semidirect
52. C22×C7×D4D4semidirect
59. C23×C4×C7D4semidirect
74. C2×C7×C4⋊C4D4semidirect
90. C2×C42×C7D4semidirect
94. C22×#121C2×C7semidirect
95. C22×C4×D4C2×C7semidirect
96. C2×#392C2×C7semidirect
97. C2×#390C2×C7semidirect
98. C2×#380C2×C7semidirect
99. #1439C2×C7semidirect
100. #1438C2×C7semidirect
101. C4⋊#95C2×C7semidirect
277. C23×C7#121semidirect
325. C2×C4×C7#121semidirect
344. C22×D4C7×D4semidirect
345. C22×D4C7×D4semidirect
352. C23×C4C7×D4semidirect
367. C2×C4⋊C4C7×D4semidirect
383. C2×C42C7×D4semidirect
441. C4×C7#392semidirect
606. C23C7×#121semidirect
654. C2×C4C7×#121semidirect
656. C7#15123direct (N × H)
711. C4C7×#392semidirect

Maximal subgroups

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

subgroupindex
C22×C7×#1212
C22×C4×C7×D42
C2×C7×#3922
C2×C7×#3902
C2×C7×#3802
C7×#14392
C7×#14382
C7×C4⋊#952
#151237