Finite Group Databasebeta

← #13373289

Subgroups — #13373289

Order 1792.

900 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic
2C7×#1753C211yesmaximal, characteristic, complemented
3#11729750C211yesmaximal, characteristic
4#11729733C211yesmaximal, characteristic, complemented
5#11727707C211yesmaximal, characteristic
6#11727662C211yesmaximal, characteristic, complemented
7#11727588C211yesmaximal, characteristic, complemented
8#11727561C211yesmaximal, characteristic, complemented
9#11727539C211yesmaximal, characteristic, complemented
10#11727504C211yesmaximal, characteristic, complemented
11#11727202C211yesmaximal, characteristic, complemented
12#11726418C211yesmaximal, characteristic, complemented
13#11726411C211yesmaximal, characteristic, complemented
14#11726410C211yesmaximal, characteristic, complemented
15#11726361C211yesmaximal, characteristic, complemented
16C22×C7×M16C2211yescharacteristic
17C2×C4×C22⋊D7C2211yescharacteristic
18C22×C4×Dic7C2211yescharacteristic
19C22×#1136C2211yescharacteristic
20C2×(C22⋊D7)⋊C4C411yescharacteristic
21C2×(C22⋊D7)⋊C4C411yescharacteristic
22C2×C42×D7C2211yescharacteristic
23C2×C7×C22⋊C8C2211yescharacteristic
24C2×C7×#97C2211yescharacteristic
25C2×C4×C7×C8C2211yescharacteristic
26C4×C7×C22⋊C4C2211yescharacteristic
27C2×C22⋊(C7⋊C8)C2211yescharacteristic
28C2×(C2×D7)⋊C8C2211yescharacteristic
29C2×(C2×D7)⋊C8C2211yescharacteristic
30C2×(C2×D7)⋊C8C2211yescharacteristic
31C2×(C2×D7)⋊C8C2211yescharacteristic
32C2×Dic7⋊C8C2211yescharacteristic
33C2×Dic7⋊C8C2211yescharacteristic
34C22⋊C4×Dic7C411yescharacteristic
35C22⋊C4×Dic7C411yescharacteristic
36C4×(C2×D7)⋊C4C2211yescharacteristic
37C4×Dic7⋊C4C2211yescharacteristic
38C42×Dic7C2211yescharacteristic
39C2×#6377C2211yescharacteristic
40C2×C4×C7⋊C8C2211yescharacteristic
41#89438C411yescharacteristic
42#89438C411yescharacteristic
43#89421C411yescharacteristic
44#89421C411yescharacteristic
45C7×#336C2211yescharacteristic
46C7×#336C2211yescharacteristic
47#89345C2211yescharacteristic
48#89345C2211yescharacteristic
49#89345C2211yescharacteristic
50#89345C2211yescharacteristic
51#89345C2211yescharacteristic
52#89345C2211yescharacteristic
53#89345C2211yescharacteristic
54#89345C2211yescharacteristic
55#89345C2211yescharacteristic
56#89345C2211yescharacteristic
57#89319C2211yescharacteristic
58#89319C2211yescharacteristic
59#22786—71nomaximal, Sylow
60C23×C4×C7C2311yescharacteristic
61C22×C22⋊D7C2×C411yescharacteristic
62C23×Dic7C2×C411yescharacteristic
63C23×Dic7C2×C411yescharacteristic
64C22×C4×D7C2×C411yescharacteristic
65C22×C4×D7C2×C411yescharacteristic
66C22×C4×D7C2311yescharacteristic
67C2×C7×M16—22no—
68C2×C7×M16—22no—
69C2×C7×M16—41no—
70C22×C7×C8C2311yescharacteristic
71C22×C7×C8C2311yescharacteristic
72C22×C7×C8C2311yescharacteristic
73C22×C7×C8C2311yescharacteristic
74C2×C7×C22⋊C4C2×C411yescharacteristic
75C2×C7×C22⋊C4C2×C411yescharacteristic
76C2×C42×C7C2311yescharacteristic
77C2×C42×C7C2311yescharacteristic
78C2×C22⋊Dic7C2×C411yescharacteristic
79C4×C22⋊D7—22no—
80C4×C22⋊D7—22no—
81C2×(C2×D7)⋊C4C2×C411yescharacteristic
82C2×(C2×D7)⋊C4C2×C411yescharacteristic
83C2×(C2×D7)⋊C4C2×C411yescharacteristic
84C2×Dic7⋊C4C2×C411yescharacteristic
85C2×Dic7⋊C4C2×C411yescharacteristic
86C2×Dic7⋊C4C2×C411yescharacteristic
87C2×C4×Dic7—41no—
88C2×C4×Dic7—41no—
89C2×C4×Dic7C2×C411yescharacteristic
90C2×C4×Dic7C2×C411yescharacteristic
91C2×C4×Dic7C2×C411yescharacteristic
92C2×C4×Dic7C2×C411yescharacteristic
93C2×C4×Dic7C2×C411yescharacteristic
94C2×C4×Dic7C2×C411yescharacteristic
95C2×C4×Dic7C2×C411yescharacteristic
96C2×C4×Dic7C2×C411yescharacteristic
97C2×C4×Dic7C2311yescharacteristic
98C2×C4×Dic7C2311yescharacteristic
99C2×C4×Dic7C2311yescharacteristic
100C2×#1136—22no—
101C2×#1136—22no—
102C2×#1136—41no—
103C22×C7⋊C8C2311yescharacteristic
104C22×C7⋊C8C2311yescharacteristic
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107(C22⋊D7)⋊C4—24no—
108(C22⋊D7)⋊C4—24no—
109C42×D7—41no—
110C42×D7—41no—
111C7×C22⋊C8—22no—
112C7×#97—41no—
113C4×C7×C8—22no—
114C7×#95C2×C411yescharacteristic
115C7×#95C2×C411yescharacteristic
116C7⋊#95C2×C411yescharacteristic
117C7⋊#95C2×C411yescharacteristic
118C7⋊#95C2×C411yescharacteristic
119C7⋊#95C2×C411yescharacteristic
120C22⋊(C7⋊C8)—22no—
121(C2×D7)⋊C8—22no—
122(C2×D7)⋊C8—22no—
123(C2×D7)⋊C8—41no—
124(C2×D7)⋊C8—41no—
125Dic7⋊C8—41no—
126Dic7⋊C8—41no—
127#6377—41no—
128C4×C7⋊C8—22no—
129C42×D4—71no—
130#1923—71no—
131#1923—71no—
132#1917—71no—
133#1917—71no—
134#1870—71no—
135#1870—71no—
136#1839—71no—
137#1817—71no—
138#1797—71no—
139#1753—71no—
140#1753D711yescharacteristic, complemented
141#1749—71no—
142#1744—71no—
143#1728—71no—
144C24×C7C22×C411yescharacteristic
145C23×D7C22×C411yescharacteristic
146C22×C4×C7—21no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—21no—
150C22×C4×C7C22×C411yescharacteristic
151C22×C4×C7C22×C411yescharacteristic
152C22×C4×C7C22×C411yescharacteristic
153C22×C4×C7C22×C411yescharacteristic
154C22×C4×C7C22×C411yescharacteristic
155C22×C4×C7#4112yes—
156C22×C4×C7#4112yes—
157C22×C4×C7C2411yescharacteristic
158C2×C22⋊D7—22no—
159C2×C22⋊D7—22no—
160C2×C22⋊D7—22no—
161C22×Dic7—22no—
162C22×Dic7—22no—
163C22×Dic7—22no—
164C22×Dic7—41no—
165C22×Dic7—41no—
166C22×Dic7—41no—
167C22×Dic7C22×C411yescharacteristic
168C22×Dic7C22×C411yescharacteristic
169C22×Dic7C22×C411yescharacteristic
170C22×Dic7C22×C411yescharacteristic
171C22×Dic7C22×C411yescharacteristic
172C22×Dic7C22×C411yescharacteristic
173C22×Dic7C22×C411yescharacteristic
174C2×C4×D7—22no—
175C2×C4×D7—21no—
176C2×C4×D7—21no—
177C2×C4×D7—21no—
178C2×C4×D7—21no—
179C2×C4×D7—21no—
180C2×C4×D7—21no—
181C2×C4×D7—22no—
182C2×C4×D7—22no—
183C2×C4×D7—41no—
184C2×C4×D7—41no—
185C2×C4×D7—41no—
186C7×M16—44no—
187C2×C7×C8—21no—
188C2×C7×C8—21no—
189C2×C7×C8—21no—
190C2×C7×C8—21no—
191C2×C7×C8—21no—
192C2×C7×C8—21no—
193C2×C7×C8—21no—
194C2×C7×C8—21no—
195C2×C7×C8—21no—
196C2×C7×C8—21no—
197C2×C7×C8—21no—
198C2×C7×C8#4112yes—
199C7×C22⋊C4—22no—
200C7×C22⋊C4—22no—
201C42×C7—21no—
202C42×C7—21no—
203C42×C7—21no—
204C42×C7—21no—
205C22⋊Dic7—22no—
206(C2×D7)⋊C4—22no—
207(C2×D7)⋊C4—22no—
208(C2×D7)⋊C4M1614yescomplemented
209Dic7⋊C4—22no—
210Dic7⋊C4—22no—
211Dic7⋊C4—22no—
212C4×Dic7—22no—
213C4×Dic7—21no—
214C4×Dic7—21no—
215C4×Dic7—21no—
216C4×Dic7—21no—
217C4×Dic7—21no—
218C4×Dic7—21no—
219C4×Dic7—22no—
220C4×Dic7—41no—
221C4×Dic7—41no—
222C4×Dic7—41no—
223C4×Dic7—41no—
224C4×Dic7—41no—
225C4×Dic7M1614yescomplemented
226#1136—44no—
227C2×C7⋊C8—21no—
228C2×C7⋊C8—21no—
229C2×C7⋊C8—21no—
230C2×C7⋊C8—21no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8—21no—
235C2×C7⋊C8—21no—
236C2×C7⋊C8—21no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8#4112yes—
239C22×M16—71no—
240C22×M16C2×D711yescharacteristic
241C2×C4×D4—71no—
242C2×C4×D4—71no—
243C2×C4×D4—71no—
244C22×C42—71no—
245C22×C42—71no—
246C2×C4⋊C8—71no—
247C2×C4⋊C8—71no—
248C2×C22⋊C8—71no—
249C2×C22⋊C8—71no—
250C2×C22⋊C8—71no—
251C2×C22⋊C8—71no—
252C2×C22⋊C8—71no—
253C2×C22⋊C8C2×D711yescharacteristic
254C2×#97—71no—
255C2×#97C2×D711yescharacteristic
256C2×C4×C8—71no—
257C2×C4×C8C2×D711yescharacteristic
258C4×C4⋊C4—71no—
259C4×C4⋊C4—71no—
260C4×C4⋊C4—71no—
261C4×C22⋊C4—71no—
262C4×C22⋊C4—71no—
263C4×C22⋊C4—71no—
264C4×C22⋊C4—71no—
265C4×C22⋊C4—71no—
266C4×C22⋊C4C2×D711yescharacteristic
267C43—71no—
268#336—71no—
269#336—71no—
270#336—71no—
271#336—71no—
272#336—71no—
273#336—71no—
274#336—71no—
275#336—71no—
276#336—71no—
277#336—71no—
278#336—71no—
279#336—71no—
280#336C2×D711yescharacteristic
281#336C2×D711yescharacteristic
282C23×C7—21no—
283C23×C7—21no—
284C23×C7—21no—
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7#11712yes—
289C23×C7C23×C411yescharacteristic
290C22×D7—21no—
291C22×D7—21no—
292C22×D7—21no—
293C22×D7—21no—
294C22×D7—21no—
295C22×D7—21no—
296C22×D7C2×M1612yes—
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—22no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7#11712yes—
314C2×C4×C7C2×M1612yes—
315C2×C4×C7C2×M1612yes—
316C2×C4×C7C2×#4111yescharacteristic
317C2×C4×C7C2×#4111yescharacteristic
318C2×C4×C7C2×#4111yescharacteristic
319C2×C4×C7C2×#4111yescharacteristic
320C2×C4×C7H(5,𝔽2)11yescharacteristic
321C2×C4×C7H(5,𝔽2)11yescharacteristic
322C22⋊D7—28no—
323C2×Dic7—21no—
324C2×Dic7—21no—
325C2×Dic7—21no—
326C2×Dic7—21no—
327C2×Dic7—21no—
328C2×Dic7—21no—
329C2×Dic7—21no—
330C2×Dic7—21no—
331C2×Dic7—21no—
332C2×Dic7—21no—
333C2×Dic7—21no—
334C2×Dic7—21no—
335C2×Dic7—21no—
336C2×Dic7—21no—
337C2×Dic7—21no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—44no—
341C2×Dic7—44no—
342C2×Dic7C2×M1612yes—
343C2×Dic7C2×M1612yes—
344C2×Dic7C2×M1612yes—
345C2×Dic7#13112yes—
346C4×D7—44no—
347C4×D7—44no—
348C4×D7—41no—
349C4×D7—41no—
350C4×D7—41no—
351C4×D7—41no—
352C7×C8—22no—
353C7×C8—41no—
354C7×C8—41no—
355C7×C8—41no—
356C7⋊C8—22no—
357C7⋊C8—41no—
358C7⋊C8—41no—
359C7⋊C8—41no—
360C22×D4—71no—
361C23×C4—71no—
362C23×C4—71no—
363C23×C4—71no—
364C23×C4—71no—
365C23×C4—71no—
366C23×C4C22×D711yescharacteristic
367C2×M16—22no—
368C2×M16—22no—
369C2×M16—41no—
370C2×M16—142no—
371C2×M16—142no—
372C2×M16—281no—
373C22×C8—71no—
374C22×C8—71no—
375C22×C8—71no—
376C22×C8—71no—
377C22×C8C22×D711yescharacteristic
378C22×C8C22×D711yescharacteristic
379C22×C8C22×D711yescharacteristic
380C22×C8C22×D711yescharacteristic
381C4×D4—144no—
382C4×D4—144no—
383C4×D4—142no—
384C4×D4—142no—
385C2×C4⋊C4—71no—
386C2×C4⋊C4—71no—
387C2×C4⋊C4—71no—
388C2×C22⋊C4—71no—
389C2×C22⋊C4—71no—
390C2×C22⋊C4—71no—
391C2×C22⋊C4—71no—
392C2×C22⋊C4C4×D711yescharacteristic
393C2×C22⋊C4C4×D711yescharacteristic
394C2×C42—71no—
395C2×C42—71no—
396C2×C42—71no—
397C2×C42—71no—
398C2×C42—71no—
399C2×C42—71no—
400C2×C42—71no—
401C2×C42—71no—
402C2×C42—71no—
403C2×C42—71no—
404C2×C42—71no—
405C2×C42—281no—
406C2×C42—281no—
407C2×C42—281no—
408C2×C42—281no—
409C2×C42C22×D711yescharacteristic
410C2×C42C22×D711yescharacteristic
411C4⋊C8—281no—
412C4⋊C8—281no—
413C22⋊C8—22no—
414C22⋊C8—142no—
415C22⋊C8—142no—
416C22⋊C8—142no—
417C22⋊C8—281no—
418C22⋊C8—281no—
419#97—41no—
420#97—281no—
421C4×C8—22no—
422C4×C8—142no—
423#95—71no—
424#95—71no—
425#95—71no—
426#95—71no—
427#95C4×D711yescharacteristic
428#95C4×D711yescharacteristic
429C22×C7—22no—
430C22×C7—22no—
431C22×C7—22no—
432C22×C7—41no—
433C22×C7—41no—
434C22×C7—41no—
435C22×C7—41no—
436C22×C7C2×#11711yescharacteristic
437C22×C7C4×#4111yescharacteristic
438C22×C7#51811yescharacteristic
439C22×C7C22×M1611yescharacteristic
440C22×C7C22×M1611yescharacteristic
441C22×C7C2×#13111yescharacteristic
442C22×C7#56811yescharacteristic
443C2×D7—22no—
444C2×D7—22no—
445C2×D7—22no—
446C2×D7—41no—
447C2×D7—41no—
448C2×D7—41no—
449C2×D7—41no—
450C4×C7—22no—
451C4×C7—22no—
452C4×C7—22no—
453C4×C7—41no—
454C4×C7—41no—
455C4×C7#55111yescharacteristic
456C4×C7#55111yescharacteristic
457C4×C7#55311yescharacteristic
458C4×C7#55311yescharacteristic
459Dic7—22no—
460Dic7—22no—
461Dic7—22no—
462Dic7—22no—
463Dic7—41no—
464Dic7—41no—
465Dic7—41no—
466C24—71no—
467C24C2×C4×D711yescharacteristic
468C2×D4—142no—
469C2×D4—142no—
470C2×D4—142no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—71no—
476C22×C4—71no—
477C22×C4—71no—
478C22×C4—71no—
479C22×C4—71no—
480C22×C4—71no—
481C22×C4—71no—
482C22×C4—142no—
483C22×C4—142no—
484C22×C4—142no—
485C22×C4—142no—
486C22×C4—142no—
487C22×C4—142no—
488C22×C4—141no—
489C22×C4—141no—
490C22×C4—141no—
491C22×C4—141no—
492C22×C4—141no—
493C22×C4—141no—
494C22×C4—281no—
495C22×C4—281no—
496C22×C4—281no—
497C22×C4—281no—
498C22×C4—281no—
499C22×C4—281no—
500C22×C4C2×C4×D711yescharacteristic
501C22×C4C2×C4×D711yescharacteristic
502C22×C4C2×C4×D711yescharacteristic
503C22×C4C2×C4×D711yescharacteristic
504C22×C4C2×C4×D711yescharacteristic
505C22×C4#115712yes—
506C22×C4#115712yes—
507C22×C4C23×D711yescharacteristic
508M16—44no—
509M16—284no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—72no—
522C2×C8—141no—
523C2×C8—141no—
524C2×C8—141no—
525C2×C8—141no—
526C2×C8—141no—
527C2×C8—141no—
528C2×C8—141no—
529C2×C8—141no—
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8#115912yes—
534C4⋊C4—142no—
535C4⋊C4—142no—
536C4⋊C4—142no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—74no—
540C22⋊C4—142no—
541C22⋊C4—142no—
542C22⋊C4—142no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—74no—
548C42—142no—
549C42—142no—
550C42—141no—
551C42—141no—
552C42—141no—
553C42—141no—
554C42—141no—
555C42—141no—
556C42—281no—
557C42—281no—
558C42—281no—
559C42—281no—
560C42—281no—
561C2×C7—42no—
562C2×C7#235311yescharacteristic
563C2×C7#292011yescharacteristic
564C2×C7#292511yescharacteristic
565C2×C7#296511yescharacteristic
566C2×C7#297011yescharacteristic
567C2×C7#297411yescharacteristic
568C2×C7#297511yescharacteristic
569D7—42no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—72no—
577C23—141no—
578C23—141no—
579C23—141no—
580C23—141no—
581C23—141no—
582C23—141no—
583C23#643512yes—
584C23C22×C4×D711yescharacteristic
585D4—148no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—72no—
603C2×C4—72no—
604C2×C4—72no—
605C2×C4—72no—
606C2×C4—141no—
607C2×C4—141no—
608C2×C4—141no—
609C2×C4—141no—
610C2×C4—141no—
611C2×C4—141no—
612C2×C4—141no—
613C2×C4—141no—
614C2×C4—141no—
615C2×C4—141no—
616C2×C4—141no—
617C2×C4—141no—
618C2×C4—141no—
619C2×C4—141no—
620C2×C4—141no—
621C2×C4—141no—
622C2×C4—141no—
623C2×C4—284no—
624C2×C4—284no—
625C2×C4—284no—
626C2×C4—284no—
627C2×C4—281no—
628C2×C4—281no—
629C2×C4—281no—
630C2×C4—281no—
631C2×C4#643512yes—
632C2×C4D7×M1612yes—
633C2×C4D7×M1612yes—
634C2×C4C2×#115711yescharacteristic
635C2×C4C2×#115711yescharacteristic
636C2×C4C2×#115911yescharacteristic
637C2×C4#654811yescharacteristic
638C2×C4D7×#4111yescharacteristic
639C2×C4#655311yescharacteristic
640C8—22no—
641C8—41no—
642C8—41no—
643C8—41no—
644C8—142no—
645C8—281no—
646C8—281no—
647C8—281no—
648C7#2278611yescharacteristic, complemented, Sylow
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—142no—
657C22—142no—
658C22—142no—
659C22—281no—
660C22—281no—
661C22—281no—
662C22—281no—
663C22C2×#643511yescharacteristic
664C22C4×#115911yescharacteristic
665C22#9023611yescharacteristic
666C22C2×D7×M1611yescharacteristic
667C22C2×D7×M1611yescharacteristic
668C22D7×#13111yescharacteristic
669C22#9044111yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—142no—
676C4—142no—
677C4—142no—
678C4—142no—
679C4—281no—
680C4—281no—
681C4—281no—
682C4#9018611yescharacteristic
683C4#9021811yescharacteristic
684C4#9023111yescharacteristic
685C4#9025611yescharacteristic
686C2—42no—
687C2—282no—
688C2#1173090711yescharacteristic
689C2#1173596211yescharacteristic
690C2#1173599711yescharacteristic
691C2#1173689811yescharacteristic
692C2#1173690511yescharacteristic
693C2#1173698711yescharacteristic
694C2#1173698811yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D7
commutator, socleC23×C7C23×C4
FittingC7×#1753C2
prime radicalC22×C22⋊D7C2×C4
cosocleC22×C4×C7C24
hypercenter#1753D7
hypocenterC7#22786
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #1753

Complements

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

NH ≅ G/Ntype
2. C7×#1753C2semidirect
4. #11729733C2semidirect
6. #11727662C2semidirect
7. #11727588C2semidirect
8. #11727561C2semidirect
9. #11727539C2semidirect
10. #11727504C2semidirect
11. #11727202C2semidirect
12. #11726418C2semidirect
13. #11726411C2semidirect
14. #11726410C2semidirect
15. #11726361C2semidirect
140. #1753D7semidirect
208. (C2×D7)⋊C4M16semidirect
225. C4×Dic7M16semidirect
648. C7#22786semidirect

Maximal subgroups

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

subgroupindex
C4×(C22⋊D7)⋊C42
C7×#17532
#117297502
#117297332
#117277072
#117276622
#117275882
#117275612
#117275392
#117275042
#117272022
#117264182
#117264112
#117264102
#117263612
#227867