Finite Group Databasebeta

← #13414369

Subgroups — #13414369

Order 1792.

944 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2416C211yesmaximal, characteristic
2D4×C4⋊Dic7C211yesmaximal, characteristic, complemented
3#11729435C211yesmaximal, characteristic, complemented
4#11729433C211yesmaximal, characteristic, complemented
5#11729431C211yesmaximal, characteristic, complemented
6#11729431C211yesmaximal, characteristic, complemented
7#11729364C211yesmaximal, characteristic, complemented
8C2×#89324C211yesmaximal, characteristic, complemented
9#11729309C211yesmaximal, characteristic, complemented
10#11727394C211yesmaximal, characteristic, complemented
11#11727390C211yesmaximal, characteristic, complemented
12#11727365C211yesmaximal, characteristic, complemented
13#11727354C211yesmaximal, characteristic, complemented
14#11727272C211yesmaximal, characteristic, complemented
15#11727255C211yesmaximal, characteristic, complemented
16C2×C7×#121—21no—
17C2×C7×#121C2211yescharacteristic
18C2×C7×#121C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C22×C7×C4⋊C4C2211yescharacteristic
21C2×D4×Dic7—21no—
22C22×C4⋊Dic7C2211yescharacteristic
23C22×C4⋊Dic7C2211yescharacteristic
24C23×C7⋊C8C2211yescharacteristic
25C7×#396—21no—
26C7×#394—21no—
27C7×#390C2211yescharacteristic
28C7×#389C2211yescharacteristic
29C7×#386—21no—
30C7×#380C2211yescharacteristic
31C2×#6406C2211yescharacteristic
32C2×#6406C2211yescharacteristic
33C2×#6406C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35#89984C2211yescharacteristic
36#89984C2211yescharacteristic
37C2×C22⋊(C7⋊C8)C2211yescharacteristic
38C2×C22⋊(C7⋊C8)C2211yescharacteristic
39C2×C22⋊(C7⋊C8)C2211yescharacteristic
40#89757—21no—
41C2×#6381C2211yescharacteristic
42C2×#6381C2211yescharacteristic
43#89722—21no—
44#89722—21no—
45#89707C2211yescharacteristic
46C4×C4⋊Dic7C2211yescharacteristic
47#89324C2211yescharacteristic
48#89324C2211yescharacteristic
49#89324C2211yescharacteristic
50#89324C2211yescharacteristic
51#89324C2211yescharacteristic
52#89324C2211yescharacteristic
53#89324C2211yescharacteristic
54#89324C2211yescharacteristic
55#89324C2211yescharacteristic
56#89324C2211yescharacteristic
57#89319C2211yescharacteristic
58#89319C2211yescharacteristic
59#26198—71nomaximal, Sylow
60C22×C7×D4—21no—
61C22×C7×D4—21no—
62C22×C7×D4D411yescharacteristic
63C22×C7×D4C2311yescharacteristic
64C23×C4×C7—21no—
65C23×C4×C7C2311yescharacteristic
66C23×C4×C7C2311yescharacteristic
67C23×Dic7—21no—
68C23×Dic7—21no—
69C7×#121—22no—
70C7×#121—22no—
71C7×#121—22no—
72C7×#121—41no—
73C7×#121—44no—
74C4×C7×D4—22no—
75C4×C7×D4—22no—
76C2×C7×C4⋊C4—22no—
77C2×C7×C4⋊C4—21no—
78C2×C7×C4⋊C4—21no—
79C2×C7×C4⋊C4—41no—
80C2×C7×C4⋊C4D411yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C4⋊C4C2311yescharacteristic
83C2×C7×C4⋊C4C2311yescharacteristic
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4—21no—
86C2×C7×C22⋊C4—21no—
87C2×C7×C22⋊C4—21no—
88C2×C7×C22⋊C4—21no—
89C2×C7×C22⋊C4D411yescharacteristic
90C2×C7×C22⋊C4D411yescharacteristic
91C2×C42×C7C2311yescharacteristic
92C2×C22⋊Dic7—21no—
93C2×C22⋊Dic7—21no—
94D4×Dic7—44no—
95C2×C4⋊Dic7—22no—
96C2×C4⋊Dic7—22no—
97C2×C4⋊Dic7—21no—
98C2×C4⋊Dic7—21no—
99C2×C4⋊Dic7—21no—
100C2×C4⋊Dic7—21no—
101C2×C4⋊Dic7—41no—
102C2×C4⋊Dic7—41no—
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×C4⋊Dic7C2311yescharacteristic
106C2×C4⋊Dic7C2311yescharacteristic
107C2×C4×Dic7—21no—
108C22×C7⋊C8—22no—
109C22×C7⋊C8—41no—
110C22×C7⋊C8—41no—
111C22×C7⋊C8C2311yescharacteristic
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C7×#95—21no—
116C7×#95—21no—
117#6406—22no—
118#6406—41no—
119#6406—41no—
120#6406—41no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C7⋊#95—21no—
124C22⋊(C7⋊C8)—22no—
125C22⋊(C7⋊C8)—41no—
126C22⋊(C7⋊C8)—41no—
127#6381—22no—
128#6381—41no—
129#2416D711yescharacteristic
130D4×C4⋊C4—71no—
131#2099—71no—
132#2075—71no—
133#2071—71no—
134#2033—71no—
135#1925—71no—
136#1918—71no—
137#1893—71no—
138#1874—71no—
139#1874—71no—
140#1869—71no—
141#1852—71no—
142#1823—71no—
143C2×#340—71no—
144C24×C7—21no—
145C24×C7C2×D411yescharacteristic
146C24×C7C2×D411yescharacteristic
147C2×C7×D4—22no—
148C2×C7×D4—22no—
149C2×C7×D4—21no—
150C2×C7×D4—21no—
151C2×C7×D4—21no—
152C2×C7×D4—21no—
153C2×C7×D4—21no—
154C2×C7×D4—21no—
155C2×C7×D4—42no—
156C2×C7×D4—42no—
157C2×C7×D4—42no—
158C2×C7×D4—42no—
159C2×C7×D4—42no—
160C2×C7×D4—81no—
161C2×C7×D4D814yes—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—21no—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—42no—
176C22×C4×C7—42no—
177C22×C4×C7—81no—
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7#4112yes—
183C22×C4×C7#4112yes—
184C22×C4×C7C2411yescharacteristic
185C22×Dic7—21no—
186C22×Dic7—21no—
187C22×Dic7—21no—
188C22×Dic7—21no—
189C22×Dic7—42no—
190C22×Dic7—42no—
191C22×Dic7—42no—
192C22×Dic7—42no—
193C22×Dic7—81no—
194C22×Dic7—81no—
195C7×C4⋊C4—22no—
196C7×C4⋊C4—21no—
197C7×C4⋊C4—21no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—21no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—42no—
202C7×C4⋊C4—42no—
203C7×C4⋊C4#4112yes—
204C7×C22⋊C4—22no—
205C7×C22⋊C4—22no—
206C7×C22⋊C4—42no—
207C7×C22⋊C4—42no—
208C7×C22⋊C4—42no—
209C7×C22⋊C4—42no—
210C7×C22⋊C4—81no—
211C42×C7—21no—
212C42×C7—21no—
213C22⋊Dic7—42no—
214C22⋊Dic7—42no—
215C4⋊Dic7—21no—
216C4⋊Dic7—21no—
217C4⋊Dic7—21no—
218C4⋊Dic7—21no—
219C4⋊Dic7—21no—
220C4⋊Dic7—21no—
221C4⋊Dic7—21no—
222C4⋊Dic7—42no—
223C4⋊Dic7—42no—
224C4⋊Dic7—42no—
225C4⋊Dic7—81no—
226C4⋊Dic7#4112yes—
227C4×Dic7—42no—
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—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—44no—
241C23×C8—71no—
242C2×#121—21no—
243C2×#121C2×D711yescharacteristic
244C2×#121C2×D711yescharacteristic
245C2×C4×D4—141no—
246C2×C4×D4C2×D711yescharacteristic
247C22×C4⋊C4—71no—
248C22×C4⋊C4—71no—
249C22×C4⋊C4C2×D711yescharacteristic
250C2×#107—71no—
251C2×#107—71no—
252C2×#102—71no—
253C2×#102—71no—
254C2×#102—71no—
255C2×#102—71no—
256C2×C22⋊C8—71no—
257C2×C22⋊C8—71no—
258C2×C22⋊C8—71no—
259#396—21no—
260#394—21no—
261#390C2×D711yescharacteristic
262#389—141no—
263#389C2×D711yescharacteristic
264#386—21no—
265#385—141no—
266#385—141no—
267#384—71no—
268#380—71no—
269#380—71no—
270#380C2×D711yescharacteristic
271C4×C4⋊C4—71no—
272#340—71no—
273#340—71no—
274#340—71no—
275#340—71no—
276#340—71no—
277#340—71no—
278#340—71no—
279#340—71no—
280#340—71no—
281#340—71no—
282#336—71no—
283#336—71no—
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×C7—21no—
293C23×C7—21no—
294C23×C7—41no—
295C23×C7—41no—
296C23×C7—41no—
297C23×C7—41no—
298C23×C7—41no—
299C23×C7—41no—
300C23×C7—41no—
301C23×C7#12312yes—
302C23×C7C2×D812yes—
303C23×C7C2×D812yes—
304C23×C7#13712yes—
305C23×C7C22×D411yescharacteristic
306C7×D4—28no—
307C7×D4—41no—
308C7×D4—41no—
309C7×D4—41no—
310C7×D4—41no—
311C7×D4—84no—
312C7×D4—84no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—22no—
326C2×C4×C7—21no—
327C2×C4×C7—21no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7—41no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—84no—
341C2×C4×C7#12312yes—
342C2×C4×C7C2×D812yes—
343C2×C4×C7C2×#4111yescharacteristic
344C2×C4×C7C2×#4111yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×C4×C7C2×#4111yescharacteristic
347C2×C4×C7H(5,𝔽2)11yescharacteristic
348C2×C4×C7H(5,𝔽2)11yescharacteristic
349C2×Dic7—22no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—84no—
362C2×Dic7—84no—
363C7⋊C8—41no—
364C7⋊C8—41no—
365C7⋊C8—41no—
366C7⋊C8—41no—
367C22×D4—21no—
368C22×D4—21no—
369C22×D4C22⋊D711yescharacteristic
370C22×D4C22×D711yescharacteristic
371C23×C4—21no—
372C23×C4—141no—
373C23×C4—141no—
374C23×C4C22×D711yescharacteristic
375C23×C4C22×D711yescharacteristic
376C22×C8—71no—
377C22×C8—71no—
378C22×C8—71no—
379C22×C8—71no—
380C22×C8—142no—
381C22×C8—281no—
382C22×C8—281no—
383#121—22no—
384#121—22no—
385#121—22no—
386#121—41no—
387#121—44no—
388C4×D4—22no—
389C4×D4—22no—
390C4×D4—284no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—41no—
395C2×C4⋊C4—71no—
396C2×C4⋊C4—71no—
397C2×C4⋊C4—71no—
398C2×C4⋊C4—71no—
399C2×C4⋊C4—142no—
400C2×C4⋊C4—142no—
401C2×C4⋊C4—141no—
402C2×C4⋊C4—141no—
403C2×C4⋊C4—141no—
404C2×C4⋊C4—141no—
405C2×C4⋊C4—281no—
406C2×C4⋊C4—281no—
407C2×C4⋊C4C22⋊D711yescharacteristic
408C2×C4⋊C4C22×D711yescharacteristic
409C2×C4⋊C4C22×D711yescharacteristic
410C2×C4⋊C4C22×D711yescharacteristic
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—141no—
417C2×C22⋊C4—141no—
418C2×C22⋊C4C22⋊D711yescharacteristic
419C2×C22⋊C4C22⋊D711yescharacteristic
420C2×C42—141no—
421C2×C42C22×D711yescharacteristic
422#107—142no—
423#107—281no—
424#102—142no—
425#102—281no—
426#102—281no—
427#102—281no—
428C22⋊C8—142no—
429C22⋊C8—281no—
430C22⋊C8—281no—
431#95—21no—
432#95—21no—
433#95—141no—
434#95—141no—
435#95—141no—
436C22×C7—22no—
437C22×C7—22no—
438C22×C7—22no—
439C22×C7—22no—
440C22×C7—22no—
441C22×C7—22no—
442C22×C7—22no—
443C22×C7—22no—
444C22×C7—22no—
445C22×C7—41no—
446C22×C7—41no—
447C22×C7—41no—
448C22×C7—41no—
449C22×C7—81no—
450C22×C7—81no—
451C22×C7—81no—
452C22×C7—81no—
453C22×C7—81no—
454C22×C7—81no—
455C22×C7—81no—
456C22×C7#48014yes—
457C22×C7C2×#12311yescharacteristic
458C22×C7#54611yescharacteristic
459C22×C7#54611yescharacteristic
460C22×C7C22×D811yescharacteristic
461C22×C7C2×#13711yescharacteristic
462C22×C7#57711yescharacteristic
463C22×C7#57711yescharacteristic
464C4×C7—22no—
465C4×C7—22no—
466C4×C7—41no—
467C4×C7—41no—
468C4×C7—42no—
469C4×C7—81no—
470C4×C7—81no—
471C4×C7#52911yescharacteristic
472C4×C7#53811yescharacteristic
473C4×C7#55311yescharacteristic
474C4×C7#55311yescharacteristic
475Dic7—42no—
476Dic7—81no—
477Dic7—81no—
478Dic7—81no—
479C24—21no—
480C24C2×C22⋊D711yescharacteristic
481C24C2×C22⋊D711yescharacteristic
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—81no—
496C2×D4#114114yes—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—81no—
513C22×C4—141no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—282no—
518C22×C4—282no—
519C22×C4—282no—
520C22×C4—282no—
521C22×C4—561no—
522C22×C4—561no—
523C22×C4#115912yes—
524C22×C4#115912yes—
525C22×C4C2×C22⋊D711yescharacteristic
526C22×C4C2×C22⋊D711yescharacteristic
527C22×C4C2×C22⋊D711yescharacteristic
528C22×C4C2×C22⋊D711yescharacteristic
529C22×C4C23×D711yescharacteristic
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8—141no—
541C2×C8—141no—
542C2×C8—284no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—72no—
552C4⋊C4—141no—
553C4⋊C4—141no—
554C4⋊C4—141no—
555C4⋊C4—141no—
556C4⋊C4—141no—
557C4⋊C4—141no—
558C4⋊C4—141no—
559C4⋊C4—282no—
560C4⋊C4—282no—
561C4⋊C4—282no—
562C4⋊C4—561no—
563C4⋊C4#115912yes—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—81no—
571C22⋊C4—282no—
572C22⋊C4—282no—
573C42—21no—
574C42—21no—
575C42—282no—
576C2×C7—24no—
577C2×C7—42no—
578C2×C7—161no—
579C2×C7#244411yescharacteristic
580C2×C7C2×#48011yescharacteristic
581C2×C7#309911yescharacteristic
582C2×C7#329411yescharacteristic
583C2×C7#329411yescharacteristic
584C2×C7#331611yescharacteristic
585C2×C7#332011yescharacteristic
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23C2×#114112yes—
604C23C2×#114112yes—
605C23#649812yes—
606C23#651412yes—
607C23C22×C22⋊D711yescharacteristic
608D4—28no—
609D4—41no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—84no—
614D4—84no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—84no—
643C2×C4—142no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—281no—
653C2×C4—281no—
654C2×C4—281no—
655C2×C4—564no—
656C2×C4—564no—
657C2×C4C2×#114112yes—
658C2×C4#649812yes—
659C2×C4C2×#115911yescharacteristic
660C2×C4C2×#115911yescharacteristic
661C2×C4C2×#115911yescharacteristic
662C2×C4#654811yescharacteristic
663C2×C4D7×#4111yescharacteristic
664C2×C4#655311yescharacteristic
665C8—281no—
666C8—281no—
667C8—281no—
668C8—281no—
669C7#2619811yescharacteristic, complemented, Sylow
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22#8980514yes—
691C22C22×#114111yescharacteristic
692C22C2×#649811yescharacteristic
693C22#9049711yescharacteristic
694C22C2×#651411yescharacteristic
695C22#9052011yescharacteristic
696C22#9052711yescharacteristic
697C22#9052811yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—282no—
706C4—561no—
707C4—561no—
708C4—561no—
709C4#9029111yescharacteristic
710C4#9029211yescharacteristic
711C4#9030811yescharacteristic
712C4#9030911yescharacteristic
713C2—24no—
714C2—42no—
715C2—161no—
716C2C2×#8980511yescharacteristic
717C2#1174010111yescharacteristic
718C2#1174086411yescharacteristic
719C2#1174092711yescharacteristic
720C2#1174097011yescharacteristic
721C2#1174098311yescharacteristic
722C2#1174106511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
Fitting, prime radicalC7×#2416C2
socleC23×C7C22×D4
hypercenter#2416D7
hypocenterC7#26198
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
2. D4×C4⋊Dic7C2semidirect
3. #11729435C2semidirect
4. #11729433C2semidirect
5. #11729431C2semidirect
6. #11729431C2semidirect
7. #11729364C2semidirect
8. C2×#89324C2semidirect
9. #11729309C2semidirect
10. #11727394C2semidirect
11. #11727390C2semidirect
12. #11727365C2semidirect
13. #11727354C2semidirect
14. #11727272C2semidirect
15. #11727255C2semidirect
669. C7#26198semidirect

Maximal subgroups

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

subgroupindex
C7×#24162
D4×C4⋊Dic72
#117294352
#117294332
#117294312
#117293642
C2×#893242
#117293092
#117273942
#117273902
#117273652
#117273542
#117272722
#117272552
#261987