Finite Group Databasebeta

← #14218769

Subgroups — #14218769

Order 1792.

1974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic14C211yesmaximal, characteristic
2C7×#2920C211yesmaximal, characteristic
3#11739494C211yesmaximal, characteristic
4#11736760C214yesmaximal, complemented
5#11736759C214yesmaximal, complemented
6#11736710C214yesmaximal, complemented
7#11736709C212yesmaximal, complemented
8#11736708C212yesmaximal, complemented
9#11736491C214yesmaximal, complemented
10#11736064C214yesmaximal
11M16×Dic14C214yesmaximal, complemented
12C23×Dic14C411yescharacteristic
13C22×C42×C7C2211yescharacteristic
14C22×C4⋊Dic7C411yescharacteristic
15C22×Dic7⋊C4C412yes—
16C22×C4×Dic7C2212yes—
17C2×C4×Dic14C412yes—
18C2×C4×Dic14C412yes—
19C2×C4×Dic14C412yes—
20C2×C4×Dic14C412yes—
21C2×C4×Dic14C411yescharacteristic
22C2×C4×Dic14C412yes—
23C2×C4×Dic14C411yescharacteristic
24C2×C4×Dic14C2211yescharacteristic
25C2×C4×Dic14C2211yescharacteristic
26C2×C4×Dic14C2212yes—
27C2×C4×Dic14C2212yes—
28C2×C4×Dic14C2212yes—
29C2×C4×Dic14C2212yes—
30C2×C4×Dic14C2212yes—
31C7×#432C2212yes—
32C7×#432C2212yes—
33C7×#431C2212yes—
34C7×#431C2212yes—
35C7×#423C2212yes—
36C7×#407C2212yes—
37C4×C7×M16C2212yes—
38#89979C2212yes—
39#89890C2218yes—
40M16×Dic7C2218yes—
41#89698C2212yes—
42#89698C2212yes—
43#89697C2212yes—
44#89697C2212yes—
45#89696C2212yes—
46C4×#1136C2212yes—
47#89603C2218yescomplemented
48#89602C2218yescomplemented
49#89600C22116yescomplemented
50#89491C2218yes—
51#89491C2218yes—
52#89490C2218yes—
53#89490C2218yes—
54#89473C22116yescomplemented
55#89451C2218yescomplemented
56C8×Dic14C2218yescomplemented
57#60248—71nomaximal, Sylow
58C23×C4×C7C2×C411yescharacteristic
59C23×C4×C7C2×C411yescharacteristic
60C23×C4×C7C2311yescharacteristic
61C23×Dic7C2×C412yes—
62C23×Dic7C2×C412yes—
63C22×Dic14—28no—
64C22×Dic14C2×C411yescharacteristic
65C22×Dic14C2×C412yes—
66C22×Dic14C2×C412yes—
67C22×Dic14C2×C412yes—
68C22×Dic14C2×C412yes—
69C22×Dic14C2×C412yes—
70C22×Dic14C2×C411yescharacteristic
71C2×C7×M16C2314yes—
72C2×C42×C7C2×C411yescharacteristic
73C2×C42×C7C2×C411yescharacteristic
74C2×C42×C7C2×C411yescharacteristic
75C2×C42×C7C2×C411yescharacteristic
76C2×C42×C7C2×C411yescharacteristic
77C2×C42×C7C2×C411yescharacteristic
78C2×C42×C7C2311yescharacteristic
79C2×C42×C7C2311yescharacteristic
80C2×C42×C7C2311yescharacteristic
81C2×C42×C7C2311yescharacteristic
82C2×C42×C7C2311yescharacteristic
83C2×C42×C7C2311yescharacteristic
84C2×C4⋊Dic7C2×C412yes—
85C2×C4⋊Dic7C2×C412yes—
86C2×C4⋊Dic7C2×C412yes—
87C2×C4⋊Dic7C2×C412yes—
88C2×C4⋊Dic7C2×C412yes—
89C2×C4⋊Dic7C2×C411yescharacteristic
90C2×C4⋊Dic7C2×C411yescharacteristic
91C2×Dic7⋊C4C2×C414yes—
92C2×Dic7⋊C4C2×C414yes—
93C2×Dic7⋊C4C2×C412yes—
94C2×Dic7⋊C4C2×C414yes—
95C2×Dic7⋊C4C2×C414yes—
96C2×Dic7⋊C4C2×C412yes—
97C2×Dic7⋊C4C2×C412yes—
98C2×Dic7⋊C4C2×C412yes—
99C2×C4×Dic7C2×C414yes—
100C2×C4×Dic7C2×C412yes—
101C2×C4×Dic7C2×C414yes—
102C2×C4×Dic7C2×C412yes—
103C2×C4×Dic7C2314yes—
104C2×C4×Dic7C2312yes—
105C2×C4×Dic7C2314yes—
106C2×C4×Dic7C2312yes—
107C2×#1136C2314yes—
108C4×Dic14C2×C412yes—
109C4×Dic14C2×C412yes—
110C4×Dic14C2×C412yes—
111C4×Dic14C2×C414yes—
112C4×Dic14C2×C412yes—
113C4×Dic14C2×C414yes—
114C4×Dic14C2×C412yes—
115C4×Dic14C2×C414yes—
116C4×Dic14C2×C414yes—
117C4×Dic14C2×C414yes—
118C4×Dic14C2×C412yes—
119C4×Dic14C2×C414yes—
120C4×Dic14C2×C412yes—
121C4×Dic14C2×C412yes—
122C4×Dic14C2×C412yes—
123C4×Dic14C2×C412yes—
124C4×Dic14C2×C412yes—
125C4×Dic14C2×C412yes—
126C4×Dic14C2314yes—
127C4×Dic14C2312yes—
128C4×Dic14C2312yes—
129C4×Dic14C2312yes—
130C4×Dic14C2312yes—
131C4×Dic14C2314yes—
132C7×C4⋊C8C2314yes—
133C7×C4⋊C8C2314yes—
134C7×C22⋊C8C2314yes—
135C7×C22⋊C8C2314yes—
136C7×#97C2314yes—
137C4×C7×C8C2314yes—
138C22⋊(C7⋊C8)C2314yes—
139C22⋊(C7⋊C8)C2314yes—
140#6389C23116yes—
141Dic7⋊C8C23116yes—
142Dic7⋊C8C23116yes—
143C8×Dic7C23116yes—
144C4⋊(C7⋊C8)C2314yes—
145C4⋊(C7⋊C8)C2314yes—
146#6377C2314yes—
147C4×C7⋊C8C2314yes—
148C22×C4×Q8—71no—
149#2984—74no—
150#2984—74no—
151#2983—74no—
152#2983—72no—
153#2982—72no—
154Q8×M16—74no—
155Q8×M16—74no—
156#2920—71no—
157#2920—74no—
158#2920D711yescharacteristic
159C24×C7C22×C411yescharacteristic
160C22×C4×C7—24no—
161C22×C4×C7—24no—
162C22×C4×C7—42no—
163C22×C4×C7C22×C411yescharacteristic
164C22×C4×C7C22×C411yescharacteristic
165C22×C4×C7C22×C411yescharacteristic
166C22×C4×C7C22×C411yescharacteristic
167C22×C4×C7C22×C411yescharacteristic
168C22×C4×C7C22×C411yescharacteristic
169C22×C4×C7C22×C411yescharacteristic
170C22×C4×C7C22×C411yescharacteristic
171C22×C4×C7C22×C411yescharacteristic
172C22×C4×C7C22×C411yescharacteristic
173C22×C4×C7C22×C411yescharacteristic
174C22×C4×C7C22×C411yescharacteristic
175C22×C4×C7C22×C411yescharacteristic
176C22×C4×C7C22×C411yescharacteristic
177C22×C4×C7C22×C411yescharacteristic
178C22×C4×C7C2411yescharacteristic
179C22×C4×C7C2411yescharacteristic
180C22×C4×C7C2411yescharacteristic
181C22×Dic7—28no—
182C22×Dic7—44no—
183C22×Dic7C22×C414yes—
184C22×Dic7C22×C412yes—
185C22×Dic7C22×C414yes—
186C22×Dic7C22×C414yes—
187C22×Dic7C22×C414yes—
188C22×Dic7C22×C412yes—
189C22×Dic7C22×C412yes—
190C22×Dic7C22×C412yes—
191C2×Dic14—24no—
192C2×Dic14—28no—
193C2×Dic14—28no—
194C2×Dic14—28no—
195C2×Dic14—28no—
196C2×Dic14—28no—
197C2×Dic14M1618yescomplemented
198C2×Dic14C22×C412yes—
199C2×Dic14C22×C412yes—
200C2×Dic14C22×C414yes—
201C2×Dic14C22×C414yes—
202C2×Dic14C22×C412yes—
203C2×Dic14C22×C412yes—
204C7×M16—28no—
205C2×C7×C8C2418yes—
206C42×C7C22×C411yescharacteristic
207C42×C7C22×C411yescharacteristic
208C42×C7C22×C411yescharacteristic
209C42×C7C22×C411yescharacteristic
210C42×C7C22×C411yescharacteristic
211C42×C7C22×C411yescharacteristic
212C42×C7C22×C411yescharacteristic
213C42×C7C22×C411yescharacteristic
214C42×C7C22×C411yescharacteristic
215C42×C7C22×C411yescharacteristic
216C42×C7C22×C411yescharacteristic
217C42×C7C22×C411yescharacteristic
218C42×C7C2411yescharacteristic
219C42×C7C2411yescharacteristic
220C42×C7C2411yescharacteristic
221C42×C7C2411yescharacteristic
222C4⋊Dic7C22×C414yes—
223C4⋊Dic7C22×C414yes—
224C4⋊Dic7C22×C412yes—
225C4⋊Dic7C22×C412yes—
226C4⋊Dic7C22×C412yes—
227C4⋊Dic7C22×C412yes—
228Dic7⋊C4C22×C414yes—
229Dic7⋊C4C22×C414yes—
230Dic7⋊C4C22×C414yes—
231Dic7⋊C4C22×C414yes—
232Dic7⋊C4C22×C414yes—
233Dic7⋊C4C22×C414yes—
234Dic7⋊C4C22×C414yes—
235Dic7⋊C4C22×C414yes—
236C4×Dic7C22×C414yes—
237C4×Dic7C22×C414yes—
238C4×Dic7C22×C414yes—
239C4×Dic7C22×C414yes—
240C4×Dic7C22×C414yes—
241C4×Dic7C22×C414yes—
242C4×Dic7C2414yes—
243C4×Dic7C2414yes—
244#1136—28no—
245C2×C7⋊C8C2418yes—
246C23×Q8—71no—
247C2×C4×Q8—71no—
248C2×C4×Q8—72no—
249C2×C4×Q8—72no—
250C2×C4×Q8—72no—
251C2×C4×Q8—72no—
252C2×C4×Q8—72no—
253C2×C4×Q8—71no—
254C2×C4×Q8—72no—
255C2×C4×Q8—72no—
256C2×C4×Q8—71no—
257C2×C4×Q8—72no—
258C2×C4×Q8—71no—
259C2×C4×Q8—72no—
260C2×C4×Q8—72no—
261C22×C4⋊C4—72no—
262C22×C4⋊C4—71no—
263C22×C42—72no—
264C22×C42C2×D711yescharacteristic
265#446—716no—
266#446—78no—
267#446—716no—
268#446—78no—
269C8×Q8—78no—
270C8×Q8—78no—
271#432—72no—
272#432—72no—
273#432—78no—
274#432—78no—
275#432C2×D712yes—
276#432C2×D712yes—
277#431—72no—
278#431—72no—
279#431—78no—
280#431—78no—
281#431C2×D712yes—
282#431C2×D712yes—
283#423—78no—
284#423—72no—
285#423C2×D712yes—
286#407—72no—
287#407C2×D712yes—
288C4×M16—78no—
289C4×M16—72no—
290C4×M16C2×D712yes—
291C23×C7—22no—
292C23×C7—22no—
293C23×C7—22no—
294C23×C7C23×C411yescharacteristic
295C23×C7C23×C411yescharacteristic
296C23×C7C23×C411yescharacteristic
297C2×C4×C7—22no—
298C2×C4×C7—22no—
299C2×C4×C7—22no—
300C2×C4×C7—22no—
301C2×C4×C7—22no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—22no—
305C2×C4×C7—22no—
306C2×C4×C7—22no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—41no—
310C2×C4×C7—41no—
311C2×C4×C7—41no—
312C2×C4×C7—41no—
313C2×C4×C7C2×M1614yes—
314C2×C4×C7C23×C411yescharacteristic
315C2×C4×C7C23×C411yescharacteristic
316C2×C4×C7C23×C411yescharacteristic
317C2×C4×C7C23×C411yescharacteristic
318C2×C4×C7C23×C411yescharacteristic
319C2×C4×C7C23×C411yescharacteristic
320C2×C4×C7C23×C411yescharacteristic
321C2×C4×C7C23×C411yescharacteristic
322C2×C4×C7C23×C411yescharacteristic
323C2×C4×C7C23×C411yescharacteristic
324C2×C4×C7C23×C411yescharacteristic
325C2×C4×C72−1+414yes—
326C2×C4×C7C2511yescharacteristic
327C2×Dic7—24no—
328C2×Dic7—28no—
329C2×Dic7—28no—
330C2×Dic7—28no—
331C2×Dic7—44no—
332C2×Dic7—42no—
333C2×Dic7—42no—
334C2×Dic7C2×M1618yes—
335C2×Dic7C23×C414yes—
336C2×Dic7C23×C414yes—
337C2×Dic7C23×C414yes—
338C2×Dic7C23×C414yes—
339Dic14—24no—
340Dic14—24no—
341Dic14—28no—
342Dic14—28no—
343Dic14C2×M1618yes—
344Dic14C2×M1618yes—
345C7×C8—28no—
346C7⋊C8—28no—
347C22×Q8—71no—
348C22×Q8—72no—
349C22×Q8—72no—
350C22×Q8—72no—
351C22×Q8—72no—
352C22×Q8—72no—
353C22×Q8—71no—
354C22×Q8—148no—
355C23×C4—72no—
356C23×C4—72no—
357C23×C4C4×D711yescharacteristic
358C23×C4C4×D711yescharacteristic
359C23×C4C22×D711yescharacteristic
360C2×M16—74no—
361C2×M16C22×D714yes—
362C4×Q8—72no—
363C4×Q8—72no—
364C4×Q8—72no—
365C4×Q8—72no—
366C4×Q8—72no—
367C4×Q8—72no—
368C4×Q8—74no—
369C4×Q8—74no—
370C4×Q8—72no—
371C4×Q8—72no—
372C4×Q8—74no—
373C4×Q8—74no—
374C4×Q8—72no—
375C4×Q8—72no—
376C4×Q8—74no—
377C4×Q8—74no—
378C4×Q8—72no—
379C4×Q8—72no—
380C4×Q8—72no—
381C4×Q8—72no—
382C4×Q8—74no—
383C4×Q8—74no—
384C4×Q8—72no—
385C4×Q8—72no—
386C2×C4⋊C4—72no—
387C2×C4⋊C4—72no—
388C2×C4⋊C4—74no—
389C2×C4⋊C4—74no—
390C2×C4⋊C4—74no—
391C2×C4⋊C4—74no—
392C2×C4⋊C4—72no—
393C2×C4⋊C4—72no—
394C2×C4⋊C4—72no—
395C2×C4⋊C4—72no—
396C2×C4⋊C4—72no—
397C2×C4⋊C4—72no—
398C2×C4⋊C4—72no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4—71no—
401C2×C42—72no—
402C2×C42—74no—
403C2×C42—74no—
404C2×C42—72no—
405C2×C42—74no—
406C2×C42—72no—
407C2×C42—74no—
408C2×C42—72no—
409C2×C42C4×D711yescharacteristic
410C2×C42C4×D711yescharacteristic
411C2×C42C4×D711yescharacteristic
412C2×C42C4×D711yescharacteristic
413C2×C42C4×D711yescharacteristic
414C2×C42C4×D711yescharacteristic
415C2×C42C22×D711yescharacteristic
416C2×C42C22×D711yescharacteristic
417C2×C42C22×D711yescharacteristic
418C2×C42C22×D711yescharacteristic
419C2×C42C22×D711yescharacteristic
420C2×C42C22×D711yescharacteristic
421C4⋊C8—716no—
422C4⋊C8—716no—
423C4⋊C8—74no—
424C4⋊C8—74no—
425C4⋊C8C22×D714yes—
426C4⋊C8C22×D714yes—
427C22⋊C8—74no—
428C22⋊C8—74no—
429C22⋊C8C22×D714yes—
430C22⋊C8C22×D714yes—
431#97—716no—
432#97—74no—
433#97C22×D714yes—
434C4×C8—716no—
435C4×C8—74no—
436C4×C8C22×D714yes—
437C22×C7—28no—
438C22×C7—21no—
439C22×C7—21no—
440C22×C7—21no—
441C22×C7—21no—
442C22×C7—21no—
443C22×C7—21no—
444C22×C7#51912yes—
445C22×C7C22×M1612yes—
446C22×C7#56812yes—
447C22×C7C24×C411yescharacteristic
448C4×C7—21no—
449C4×C7—21no—
450C4×C7—21no—
451C4×C7—21no—
452C4×C7—21no—
453C4×C7—21no—
454C4×C7—21no—
455C4×C7—21no—
456C4×C7#51912yes—
457C4×C7C22×M1612yes—
458C4×C7C22×M1612yes—
459C4×C7C2×2−1+412yes—
460Dic7—24no—
461Dic7—24no—
462Dic7—24no—
463Dic7C22×M1618yes—
464C24C2×C4×D711yescharacteristic
465C2×Q8—78no—
466C2×Q8—72no—
467C2×Q8—72no—
468C2×Q8—74no—
469C2×Q8—74no—
470C2×Q8—72no—
471C2×Q8—72no—
472C2×Q8—148no—
473C2×Q8—148no—
474C2×Q8—148no—
475C2×Q8—148no—
476C2×Q8—148no—
477C2×Q8—144no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—42no—
481C22×C4—72no—
482C22×C4—74no—
483C22×C4—74no—
484C22×C4—74no—
485C22×C4—72no—
486C22×C4—72no—
487C22×C4—72no—
488C22×C4—74no—
489C22×C4—148no—
490C22×C4—284no—
491C22×C4C2×C4×D711yescharacteristic
492C22×C4C2×C4×D711yescharacteristic
493C22×C4C2×C4×D711yescharacteristic
494C22×C4C2×C4×D711yescharacteristic
495C22×C4C2×C4×D711yescharacteristic
496C22×C4C2×C4×D711yescharacteristic
497C22×C4C2×C4×D711yescharacteristic
498C22×C4C2×C4×D711yescharacteristic
499C22×C4C2×C4×D711yescharacteristic
500C22×C4C2×C4×D711yescharacteristic
501C22×C4C2×C4×D711yescharacteristic
502C22×C4C2×C4×D711yescharacteristic
503C22×C4C2×C4×D711yescharacteristic
504C22×C4C2×C4×D711yescharacteristic
505C22×C4C2×C4×D711yescharacteristic
506C22×C4C23×D711yescharacteristic
507C22×C4C23×D711yescharacteristic
508C22×C4C23×D711yescharacteristic
509M16—28no—
510M16—148no—
511C2×C8—78no—
512C2×C8C23×D718yes—
513C4⋊C4—74no—
514C4⋊C4—74no—
515C4⋊C4—74no—
516C4⋊C4—74no—
517C4⋊C4—74no—
518C4⋊C4—74no—
519C4⋊C4—74no—
520C4⋊C4—74no—
521C4⋊C4—74no—
522C4⋊C4—74no—
523C4⋊C4—72no—
524C4⋊C4—72no—
525C4⋊C4—72no—
526C4⋊C4—72no—
527C42—74no—
528C42—74no—
529C42—74no—
530C42—74no—
531C42—74no—
532C42—74no—
533C42—74no—
534C42—74no—
535C42C2×C4×D711yescharacteristic
536C42C2×C4×D711yescharacteristic
537C42C2×C4×D711yescharacteristic
538C42C2×C4×D711yescharacteristic
539C42C2×C4×D711yescharacteristic
540C42C2×C4×D711yescharacteristic
541C42C2×C4×D711yescharacteristic
542C42C2×C4×D711yescharacteristic
543C42C2×C4×D711yescharacteristic
544C42C2×C4×D711yescharacteristic
545C42C2×C4×D711yescharacteristic
546C42C2×C4×D711yescharacteristic
547C42C23×D711yescharacteristic
548C42C23×D711yescharacteristic
549C42C23×D711yescharacteristic
550C42C23×D711yescharacteristic
551C2×C7—22no—
552C2×C7—22no—
553C2×C7—22no—
554C2×C7C2×#51911yescharacteristic
555C2×C7C23×M1611yescharacteristic
556C2×C7C2×#56811yescharacteristic
557C23—22no—
558C23—22no—
559C23—22no—
560C23C22×C4×D711yescharacteristic
561C23C22×C4×D711yescharacteristic
562C23C22×C4×D711yescharacteristic
563Q8—78no—
564Q8—78no—
565Q8—148no—
566Q8—148no—
567Q8—144no—
568Q8—144no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—78no—
586C2×C4—74no—
587C2×C4—74no—
588C2×C4—74no—
589C2×C4—74no—
590C2×C4—148no—
591C2×C4—148no—
592C2×C4—144no—
593C2×C4—148no—
594C2×C4—282no—
595C2×C4—282no—
596C2×C4—284no—
597C2×C4D7×M1614yes—
598C2×C4C22×C4×D711yescharacteristic
599C2×C4C22×C4×D711yescharacteristic
600C2×C4C22×C4×D711yescharacteristic
601C2×C4C22×C4×D711yescharacteristic
602C2×C4C22×C4×D711yescharacteristic
603C2×C4C22×C4×D711yescharacteristic
604C2×C4C22×C4×D711yescharacteristic
605C2×C4C22×C4×D711yescharacteristic
606C2×C4C22×C4×D711yescharacteristic
607C2×C4C22×C4×D711yescharacteristic
608C2×C4C22×C4×D711yescharacteristic
609C2×C4#655414yes—
610C2×C4C24×D711yescharacteristic
611C8—28no—
612C8—148no—
613C7#6024811yescharacteristic, complemented, Sylow
614C22—28no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—21no—
620C22—21no—
621C22#9020712yes—
622C22C2×D7×M1612yes—
623C22#9043612yes—
624C22C23×C4×D711yescharacteristic
625C4—21no—
626C4—21no—
627C4—21no—
628C4—21no—
629C4—21no—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—78no—
634C4—144no—
635C4—144no—
636C4—144no—
637C4#9020712yes—
638C4C2×D7×M1612yes—
639C4C2×D7×M1612yes—
640C4C2×#655412yes—
641C2—22no—
642C2—22no—
643C2—22no—
644C2C2×#9020711yescharacteristic
645C2C22×D7×M1611yescharacteristic
646C2C2×#9043611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D7
commutator, socleC22×C7C24×C4
FittingC7×#2920C2
prime radicalC24×C7C22×C4
cosocleC2×C4×C7C25
hypercenter#2920D7
hypocenterC7#60248
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ #2920

Complements

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

NH ≅ G/Ntype
4. #11736760C2semidirect
5. #11736759C2semidirect
6. #11736710C2semidirect
7. #11736709C2semidirect
8. #11736708C2semidirect
9. #11736491C2semidirect
11. M16×Dic14C2semidirect
47. #89603C22semidirect
48. #89602C22semidirect
49. #89600C22semidirect
54. #89473C22semidirect
55. #89451C22semidirect
56. C8×Dic14C22semidirect
197. C2×Dic14M16semidirect
613. C7#60248semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic142
C7×#29202
#117394942
#117367602
#117367592
#117367102
#117367092
#117367082
#117364912
#117360642
M16×Dic142
#602487