Finite Group Databasebeta

← #33083773

Subgroups — #33083773

Order 18688.

1706 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989055C211yesmaximal, characteristic
2C2×#17988589C211yesmaximal, characteristic
3C2×#17988586C211yesmaximal, characteristic
4C2×M16×Dic73C211yesmaximal, characteristic, complemented
5C2×C4⋊C4×Dic73C211yesmaximal, characteristic, complemented
6#22609760C212yesmaximal, complemented
7#22609755C212yesmaximal, complemented
8#22609750C212yesmaximal, complemented
9#22609745C212yesmaximal, complemented
10#22609652C211yesmaximal, characteristic, complemented
11C73×#1736C211yesmaximal, characteristic, complemented
12C22×#11924028C2211yescharacteristic
13C22×#11924012C2211yescharacteristic
14#17989055—24no—
15#17989055C418yescomplemented
16C2×#14556556C2211yescharacteristic
17C2×#14556556C2211yescharacteristic
18C2×#14556553C2211yescharacteristic
19C2×#14556553C2211yescharacteristic
20C2×#14556551—21no—
21C2×#14556551—21no—
22C2×#14556548—21no—
23C22×C4⋊Dic73C2211yescharacteristic
24C22×C4×Dic73—21no—
25C22×C4×Dic73C2211yescharacteristic
26C2×C42×D73—21no—
27#17988589C418yescomplemented
28#17988586C418yescomplemented
29C2×#14556516C2212yes—
30C2×#14556514C2212yes—
31C2×#14556513C2212yes—
32C2×#14556511C2212yes—
33M16×Dic73—24no—
34C2×#14556501C2212yes—
35C2×C8×Dic73C2212yes—
36C4⋊C4×Dic73—21no—
37C4⋊C4×Dic73—21no—
38C4⋊C4×Dic73C2212yes—
39C4⋊C4×Dic73C2212yes—
40C2×#14556498—21no—
41#17988349C2212yes—
42#17988349C2212yes—
43C22×M16×C73C2211yescharacteristic
44C2×#117×C73C2211yescharacteristic
45C22×C4⋊C4×C73C2211yescharacteristic
46#340×C73C2212yes—
47#340×C73C2212yes—
48C2×#11924028—22no—
49C2×#11924028—22no—
50C2×#11924028—22no—
51C2×#11924028C2×C414yes—
52C2×#11924028C2×C414yes—
53C2×#11924028C2×C414yes—
54C22×Dic146C2311yescharacteristic
55C22×D292C2311yescharacteristic
56C22×C22⋊D73—21no—
57C23×Dic73—21no—
58C23×Dic73D411yescharacteristic
59C23×Dic73D411yescharacteristic
60C22×C4×D73—21no—
61C22×C4×D73—21no—
62C22×C4×D73—21no—
63C2×#11924012—22no—
64C2×#11924012—22no—
65C2×#11924012C2×C414yescomplemented
66C22×#10596831C2312yes—
67#14556556—22no—
68#14556556—22no—
69#14556556C2×C414yescomplemented
70#14556556C2×C414yescomplemented
71#14556553—22no—
72#14556553—22no—
73#14556553C2×C414yescomplemented
74#14556553C2×C414yescomplemented
75#14556551—28no—
76#14556551—28no—
77#14556548—28no—
78C2×C4⋊Dic73—21no—
79C2×C4⋊Dic73—22no—
80C2×C4⋊Dic73C2×C414yescomplemented
81C2×C4⋊Dic73C2312yes—
82C2×#11924007—21no—
83C2×#11924007—21no—
84C2×#11924005—21no—
85C2×#11924005—21no—
86C2×C4×Dic73—21no—
87C2×C4×Dic73—21no—
88C2×C4×Dic73—22no—
89C2×C4×Dic73—22no—
90C2×C4×Dic73—44no—
91C2×C4×Dic73C2×C414yes—
92C2×C4×Dic73D411yescharacteristic
93C2×C4×Dic73D411yescharacteristic
94C2×C4×Dic73D414yes—
95C2×C4×Dic73C2311yescharacteristic
96C2×C4×Dic73C2311yescharacteristic
97C42×D73—28no—
98#14556516C2×C418yescomplemented
99#14556514C2×C418yescomplemented
100#14556513C2×C418yescomplemented
101#14556511C2×C418yescomplemented
102#14556501—24no—
103C8×Dic73—24no—
104#14556498—22no—
105#14556498—22no—
106C23×C4×C73—21no—
107C23×C4×C73C2311yescharacteristic
108C2×M16×C73—22no—
109C2×M16×C73—22no—
110C2×M16×C73C2×C414yescomplemented
111C22×C8×C73C2312yes—
112#117×C73—22no—
113#117×C73C2×C414yes—
114C2×C4⋊C4×C73—21no—
115C2×C4⋊C4×C73—22no—
116C2×C4⋊C4×C73C2×C414yescomplemented
117C2×C4⋊C4×C73C2312yes—
118C2×C4⋊C4×C73C2311yescharacteristic
119C2×C4⋊C4×C73C2311yescharacteristic
120C2×C22⋊C4×C73—21no—
121C2×C42×C73—21no—
122C23×D73—21no—
123#11924028—28no—
124#11924028—28no—
125#11924028—28no—
126#11924028C42116yescomplemented
127C2×Dic146—21no—
128C2×Dic146—21no—
129C2×Dic146—21no—
130C2×Dic146C22×C412yes—
131C2×Dic146C22×C412yes—
132C2×Dic146C22×C412yes—
133C2×D292—21no—
134C2×D292—21no—
135C2×D292—21no—
136C2×D292C22×C412yes—
137C2×D292C22×C412yes—
138C2×D292C22×C412yes—
139C2×C22⋊D73—24no—
140C2×C22⋊D73—24no—
141C2×C22⋊D73—24no—
142C22×Dic73—21no—
143C22×Dic73—22no—
144C22×Dic73—22no—
145C22×Dic73—24no—
146C22×Dic73—22no—
147C22×Dic73—41no—
148C22×Dic73—41no—
149C22×Dic73—42no—
150C22×Dic73—42no—
151C22×Dic73C22⋊C414yes—
152C22×Dic73C22⋊C414yes—
153C22×Dic73C2×D411yescharacteristic
154C22×Dic73C2×D411yescharacteristic
155C22×Dic73C2×D411yescharacteristic
156C22×Dic73C2×D411yescharacteristic
157C2×C4×D73—24no—
158C2×C4×D73—24no—
159C2×C4×D73—24no—
160C2×C4×D73—24no—
161C2×C4×D73—24no—
162C2×C4×D73—42no—
163C2×C4×D73—42no—
164C2×C4×D73—42no—
165C2×C4×D73—42no—
166#11924012—28no—
167C2×#10596831—22no—
168C2×#10596831—22no—
169C2×#10596831C22×C414yes—
170C4⋊Dic73—24no—
171C4⋊Dic73—22no—
172C4⋊Dic73C22×C414yes—
173#11924007—24no—
174#11924007—24no—
175#11924005—24no—
176#11924005—24no—
177C4×Dic73—24no—
178C4×Dic73—24no—
179C4×Dic73—44no—
180C4×Dic73—44no—
181C4×Dic73C22⋊C414yes—
182C4×Dic73C22⋊C414yes—
183C4×Dic73C22×C412yes—
184C4×Dic73C22×C412yes—
185C4×Dic73C2×D412yes—
186C4×Dic73C2×D412yes—
187C24×C73C2×D411yescharacteristic
188C22×C4×C73—24no—
189C22×C4×C73—21no—
190C22×C4×C73—21no—
191C22×C4×C73—22no—
192C22×C4×C73—42no—
193C22×C4×C73—42no—
194C22×C4×C73C22×C412yes—
195C22×C4×C73C22×C412yes—
196C22×C4×C73C22×C412yes—
197C22×C4×C73C2×D411yescharacteristic
198C22×C4×C73C2×D412yes—
199C22×C4×C73#4112yes—
200C22×C4×C73#4112yes—
201C22×C4×C73C2411yescharacteristic
202M16×C73—28no—
203C2×C8×C73—22no—
204C2×C8×C73—22no—
205C2×C8×C73C22×C414yes—
206C4⋊C4×C73—24no—
207C4⋊C4×C73—21no—
208C4⋊C4×C73—21no—
209C4⋊C4×C73—22no—
210C4⋊C4×C73C22×C414yes—
211C4⋊C4×C73C22×C412yes—
212C4⋊C4×C73C22×C412yes—
213C22⋊C4×C73—24no—
214C42×C73—24no—
215C23×C73—21no—
216C23×C73—21no—
217C23×C73—21no—
218C23×C73—21no—
219C23×C73C2×C22⋊C412yes—
220C23×C73C4×D412yes—
221C23×C73C4×D412yes—
222C23×C73C22×D411yescharacteristic
223C22×D73—22no—
224C22×D73—22no—
225C22×D73—22no—
226C22×D73—41no—
227C22×D73—41no—
228C22×D73—41no—
229C22×D73—41no—
230C2×C4×C73—22no—
231C2×C4×C73—22no—
232C2×C4×C73—24no—
233C2×C4×C73—48no—
234C2×C4×C73—42no—
235C2×C4×C73—41no—
236C2×C4×C73—41no—
237C2×C4×C73—42no—
238C2×C4×C73—41no—
239C2×C4×C73—41no—
240C2×C4×C73C2×C4214yes—
241C2×C4×C73C2×C22⋊C412yes—
242C2×C4×C73#11714yes—
243C2×C4×C73C4×D414yes—
244C2×C4×C73C4×D412yes—
245C2×C4×C73C4×D414yes—
246C2×C4×C73C4×D412yes—
247C2×C4×C73C23×C411yescharacteristic
248C2×C4×C73C23×C411yescharacteristic
249C2×C4×C73C23×C411yescharacteristic
250C2×C4×C73C22×D411yescharacteristic
251C2×C4×C73C2×#4111yescharacteristic
252C2×C4×C73C2×#4111yescharacteristic
253C22⋊D73—216no—
254C2×Dic73—22no—
255C2×Dic73—22no—
256C2×Dic73—22no—
257C2×Dic73—21no—
258C2×Dic73—21no—
259C2×Dic73—21no—
260C2×Dic73—21no—
261C2×Dic73—21no—
262C2×Dic73—21no—
263C2×Dic73—28no—
264C2×Dic73—24no—
265C2×Dic73—44no—
266C2×Dic73—48no—
267C2×Dic73—42no—
268C2×Dic73—42no—
269C2×Dic73C2×C22⋊C412yes—
270C2×Dic73C2×C22⋊C412yes—
271C2×Dic73C2×C22⋊C412yes—
272C2×Dic73C2×C22⋊C412yes—
273C2×Dic73AGL(1,ℤ/8)12yes—
274C2×Dic73#13712yes—
275D292—22no—
276D292—22no—
277D292—22no—
278D292C2×C4214yescomplemented
279C4×D73—216no—
280C4×D73—48no—
281C4×D73—48no—
282Dic146—22no—
283Dic146—22no—
284Dic146—22no—
285Dic146C2×C4214yescomplemented
286C8×C73—24no—
287#10596831—24no—
288C22×C73—22no—
289C22×C73—22no—
290C22×C73—22no—
291C22×C73—22no—
292C22×C73—22no—
293C22×C73—22no—
294C22×C73C4×C22⋊C414yes—
295C22×C73C22×C22⋊C411yescharacteristic
296C22×C73C2×C4×D411yescharacteristic
297C22×C73C2×C4×D411yescharacteristic
298C22×C73C2×AGL(1,ℤ/8)11yescharacteristic
299C22×C73C2×#13711yescharacteristic
300C22×C73#57511yescharacteristic
301C22×C73#57511yescharacteristic
302C2×D73—24no—
303C2×D73—42no—
304C2×D73—42no—
305C2×D73—42no—
306C2×D73—42no—
307C2×D73—42no—
308C2×D73—42no—
309C4×C73—42no—
310C4×C73—42no—
311C4×C73—44no—
312C4×C73C4×C22⋊C414yes—
313C4×C73C22×C4211yescharacteristic
314C4×C73C2×#11711yescharacteristic
315C4×C73C2×C4×D411yescharacteristic
316C4×C73C2×C4×D411yescharacteristic
317Dic73—22no—
318Dic73—22no—
319Dic73—22no—
320Dic73—24no—
321Dic73—44no—
322Dic73#41714yescomplemented
323C4×#417—731nomaximal, Sylow
324C2×C73—24no—
325C2×C73C2×C4×C22⋊C411yescharacteristic
326C2×C73C2×#41711yescharacteristic
327C2×C73#289611yescharacteristic
328C2×C73C4×AGL(1,ℤ/8)11yescharacteristic
329C2×C73C4×AGL(1,ℤ/8)11yescharacteristic
330C2×C73C4×#13711yescharacteristic
331C2×C73C4×#13711yescharacteristic
332D73—44no—
333C2×C4×#41—731no—
334C2×#417—731no—
335C2×#417—731no—
336C2×C4×M16—731no—
337C2×C4×C4⋊C4—731no—
338#1763—732no—
339#1762—732no—
340C4×#103—732no—
341C4×#102—732no—
342#1736—731no—
343#1736D7311yescharacteristic, complemented
344C73C4×#41711yescharacteristic, complemented, Sylow
345C22×#41—731no—
346C22×M16—731no—
347C22×M16C2×D7311yescharacteristic
348C4×#41—738no—
349C4×#41—1464no—
350C2×C4×Q8—731no—
351C2×C4×Q8—731no—
352C2×C4×D4—731no—
353C2×C4×D4—731no—
354C2×C4×D4—1461no—
355C2×C4×D4—1461no—
356C2×#117—1461no—
357C2×#117C2×D7311yescharacteristic
358C22×C4⋊C4—731no—
359C22×C4⋊C4C2×D7311yescharacteristic
360C22×C42—731no—
361C22×C42—1461no—
362C22×C42—1461no—
363#417—738no—
364#417—738no—
365C2×#103—732no—
366C2×#103—732no—
367C2×#102—732no—
368C2×#102—732no—
369C4×M16—1464no—
370C2×#97—732no—
371C2×C4×C8—732no—
372C4×C4⋊C4—732no—
373C4×C4⋊C4—732no—
374C4×C4⋊C4—1461no—
375C4×C4⋊C4—1461no—
376C2×#95—1461no—
377#340—732no—
378#340—732no—
379#340C2×D7312yes—
380#340C2×D7312yes—
381C2×#41—734no—
382C2×#41—734no—
383C2×#41—734no—
384C2×#41—1462no—
385C2×#41—1462no—
386C2×#41—1462no—
387C22×Q8—731no—
388C22×D4—731no—
389C22×D4—1461no—
390C23×C4—21no—
391C23×C4—731no—
392C23×C4—731no—
393C23×C4—1461no—
394C23×C4—1461no—
395C23×C4—1461no—
396C23×C4—1461no—
397C23×C4C22×D7311yescharacteristic
398C2×M16—22no—
399C2×M16—22no—
400C2×M16—734no—
401C2×M16—1462no—
402C2×M16—1462no—
403C2×M16C4×D7314yescomplemented
404C22×C8—732no—
405C22×C8C22×D7312yes—
406C4×Q8—734no—
407C4×Q8—734no—
408C4×Q8—1462no—
409C4×Q8—1462no—
410C4×D4—734no—
411C4×D4—734no—
412C4×D4—1462no—
413C4×D4—1462no—
414C4×D4—1468no—
415C4×D4—1468no—
416#117—22no—
417#117—1468no—
418#117C4×D7314yes—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—734no—
422C2×C4⋊C4—732no—
423C2×C4⋊C4—1461no—
424C2×C4⋊C4—1461no—
425C2×C4⋊C4—1461no—
426C2×C4⋊C4—1462no—
427C2×C4⋊C4C4×D7314yescomplemented
428C2×C4⋊C4C22×D7312yes—
429C2×C4⋊C4C22×D7311yescharacteristic
430C2×C4⋊C4C22×D7311yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—1461no—
433C2×C22⋊C4—1461no—
434C2×C42—21no—
435C2×C42—2924no—
436C2×C42—734no—
437C2×C42—731no—
438C2×C42—734no—
439C2×C42—731no—
440C2×C42—731no—
441C2×C42—731no—
442C2×C42—1468no—
443C2×C42—1462no—
444C2×C42—1462no—
445C2×C42—1461no—
446C2×C42—1461no—
447#103—738no—
448#103—738no—
449#102—738no—
450#102—738no—
451#97—1464no—
452C4×C8—1464no—
453#95—1462no—
454#95—1462no—
455C24—1461no—
456C24D4×D7311yescharacteristic
457#41—7316no—
458#41—1468no—
459#41—1468no—
460#41—1468no—
461C2×Q8—732no—
462C2×Q8—732no—
463C2×Q8—732no—
464C2×Q8—1461no—
465C2×Q8—1461no—
466C2×Q8—1461no—
467C2×D4—732no—
468C2×D4—732no—
469C2×D4—732no—
470C2×D4—1464no—
471C2×D4—1464no—
472C2×D4—1464no—
473C2×D4—1461no—
474C2×D4—1461no—
475C2×D4—1461no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—2922no—
483C22×C4—2922no—
484C22×C4—2922no—
485C22×C4—2922no—
486C22×C4—2922no—
487C22×C4—2922no—
488C22×C4—2921no—
489C22×C4—2921no—
490C22×C4—734no—
491C22×C4—731no—
492C22×C4—734no—
493C22×C4—731no—
494C22×C4—731no—
495C22×C4—731no—
496C22×C4—1464no—
497C22×C4—1464no—
498C22×C4—1464no—
499C22×C4—1462no—
500C22×C4—1462no—
501C22×C4—1462no—
502C22×C4—1461no—
503C22×C4—1464no—
504C22×C4—1464no—
505C22×C4—1464no—
506C22×C4C2×C4×D7312yes—
507C22×C4C2×C4×D7312yes—
508C22×C4C2×C4×D7312yes—
509C22×C4D4×D7311yescharacteristic
510C22×C4D4×D7312yes—
511C22×C4#1192402712yes—
512C22×C4#1192402912yes—
513C22×C4C23×D7311yescharacteristic
514M16—28no—
515M16—1468no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—734no—
519C2×C8—1462no—
520C2×C8—1462no—
521C2×C8C2×C4×D7314yes—
522C4⋊C4—24no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—22no—
526C4⋊C4—734no—
527C4⋊C4—1464no—
528C4⋊C4—1464no—
529C4⋊C4—1464no—
530C4⋊C4—1462no—
531C4⋊C4C2×C4×D7314yes—
532C4⋊C4C2×C4×D7312yes—
533C4⋊C4C2×C4×D7312yes—
534C22⋊C4—24no—
535C22⋊C4—1464no—
536C22⋊C4—1464no—
537C42—24no—
538C42—2924no—
539C42—2924no—
540C42—734no—
541C42—734no—
542C42—732no—
543C42—732no—
544C42—732no—
545C42—732no—
546C42—1464no—
547C42—1464no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—2921no—
553C23—2921no—
554C23—2921no—
555C23—2921no—
556C23—1462no—
557C23—1462no—
558C23—1462no—
559C23C22⋊C4×D7312yes—
560C23#1455655112yes—
561C23#1455655312yes—
562C23C2×D4×D7311yescharacteristic
563Q8—734no—
564Q8—1462no—
565Q8—1462no—
566Q8—1462no—
567D4—734no—
568D4—14616no—
569D4—1462no—
570D4—1462no—
571D4—1462no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—48no—
576C2×C4—41no—
577C2×C4—42no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—42no—
581C2×C4—41no—
582C2×C4—2928no—
583C2×C4—2928no—
584C2×C4—2928no—
585C2×C4—2922no—
586C2×C4—2922no—
587C2×C4—2924no—
588C2×C4—732no—
589C2×C4—732no—
590C2×C4—732no—
591C2×C4—732no—
592C2×C4—732no—
593C2×C4—732no—
594C2×C4—1464no—
595C2×C4—1468no—
596C2×C4—1461no—
597C2×C4—1461no—
598C2×C4—1461no—
599C2×C4—1461no—
600C2×C4—1461no—
601C2×C4—1462no—
602C2×C4—1462no—
603C2×C4—1462no—
604C2×C4—1461no—
605C2×C4—14616no—
606C2×C4C42×D7314yes—
607C2×C4C22⋊C4×D7312yes—
608C2×C4#1455654914yes—
609C2×C4#1455655112yes—
610C2×C4#1455655114yes—
611C2×C4#1455655312yes—
612C2×C4#1455655314yes—
613C2×C4C22×C4×D7311yescharacteristic
614C2×C4C22×C4×D7311yescharacteristic
615C2×C4C22×C4×D7311yescharacteristic
616C2×C4C2×D4×D7311yescharacteristic
617C2×C4C2×#1192402711yescharacteristic
618C2×C4C2×#1192402911yescharacteristic
619C8—24no—
620C8—1464no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—2922no—
628C22—2922no—
629C22—2922no—
630C22—2922no—
631C22—2922no—
632C22—2922no—
633C22—1464no—
634C22#1798843414yes—
635C22C2×C22⋊C4×D7311yescharacteristic
636C22C2×#1455655111yescharacteristic
637C22C2×#1455655311yescharacteristic
638C22AGL(1,ℤ/8)×D7311yescharacteristic
639C22#137×D7311yescharacteristic
640C22#1798938311yescharacteristic
641C22#1798938611yescharacteristic
642C4—42no—
643C4—42no—
644C4—44no—
645C4—2924no—
646C4—734no—
647C4—1464no—
648C4—1462no—
649C4—1462no—
650C4—1462no—
651C4#1798843414yes—
652C4C2×C42×D7311yescharacteristic
653C4C2×#1455654911yescharacteristic
654C4C2×#1455655111yescharacteristic
655C4C2×#1455655311yescharacteristic
656C2—24no—
657C2—2924no—
658C2C2×#1798843411yescharacteristic
659C2#417×D7311yescharacteristic
660C2#2261844711yescharacteristic
661C2#2261873511yescharacteristic
662C2#2261873811yescharacteristic
663C2#2261874611yescharacteristic
664C2#2261874911yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC4×C73C22×C42
FrattiniC22×C4C23×D73
FittingC73×#1736C2
socleC23×C73C22×D4
prime radicalC22×#11924028C22
cosocleC22×C4×C73C24
hypercenter#1736D73
hypocenterC73C4×#417
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. C2×M16×Dic73C2semidirect
5. C2×C4⋊C4×Dic73C2semidirect
6. #22609760C2semidirect
7. #22609755C2semidirect
8. #22609750C2semidirect
9. #22609745C2semidirect
10. #22609652C2semidirect
11. C73×#1736C2semidirect
15. #17989055C4semidirect
27. #17988589C4semidirect
28. #17988586C4semidirect
65. C2×#11924012C2×C4semidirect
69. #14556556C2×C4semidirect
70. #14556556C2×C4semidirect
73. #14556553C2×C4semidirect
74. #14556553C2×C4semidirect
80. C2×C4⋊Dic73C2×C4semidirect
98. #14556516C2×C4semidirect
99. #14556514C2×C4semidirect
100. #14556513C2×C4semidirect
101. #14556511C2×C4semidirect
110. C2×M16×C73C2×C4semidirect
116. C2×C4⋊C4×C73C2×C4semidirect
126. #11924028C42semidirect
278. D292C2×C42semidirect
285. Dic146C2×C42semidirect
322. Dic73#417semidirect
343. #1736D73semidirect
344. C73C4×#417semidirect
403. C2×M16C4×D73semidirect
427. C2×C4⋊C4C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179890552
C2×#179885892
C2×#179885862
C2×M16×Dic732
C2×C4⋊C4×Dic732
#226097602
#226097552
#226097502
#226097452
#226096522
C73×#17362
C4×#41773