Finite Group Databasebeta

← #33008010

Subgroups — #33008010

Order 18688.

1486 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17988470C212yesmaximal
2C2×#17988456C211yesmaximal, characteristic
3C2×C4⋊C4×Dic73C211yesmaximal, characteristic
4C2×C4×C4⋊Dic73C211yesmaximal, characteristic
5#22608189C212yesmaximal
6#22608183C212yesmaximal
7#22608162C212yesmaximal
8#22608161C211yesmaximal, characteristic
9#22608160C211yesmaximal, characteristic
10#22608160C211yesmaximal, characteristic
11C73×C4⋊#95C211yesmaximal, characteristic
12C22×C4⋊Dic73C2211yescharacteristic
13C22×C4⋊Dic73C2211yescharacteristic
14C22×C4⋊Dic73C2211yescharacteristic
15C22×C4⋊Dic73C2211yescharacteristic
16C22×#11924007C2212yes—
17C22×#11924007C2212yes—
18C22×C4×Dic73C2212yes—
19C22×C4×Dic73C2211yescharacteristic
20C22×C4×Dic73C2211yescharacteristic
21#17988470—28no—
22#17988456—24no—
23C4⋊C4×Dic73—24no—
24C4×C4⋊Dic73C418yescomplemented
25C2×#14556498C2212yes—
26C2×#14556498C2212yes—
27C2×#14556498C2212yes—
28C2×#14556498C2212yes—
29C2×#14556498C2212yes—
30C2×#14556498C2212yes—
31C2×#14556498C2212yes—
32C2×#14556498C2211yescharacteristic
33C2×#14556498C2211yescharacteristic
34C22×C4⋊C4×C73C2211yescharacteristic
35C22×C4⋊C4×C73C2211yescharacteristic
36C22×C42×C73C2211yescharacteristic
37C2×#95×C73C2212yes—
38C2×#95×C73C2212yes—
39C23×Dic73C2312yes—
40C23×Dic73C2311yescharacteristic
41C23×Dic73C2312yes—
42C23×Dic73C2311yescharacteristic
43C23×Dic73C2311yescharacteristic
44C23×Dic73C2311yescharacteristic
45C2×C4⋊Dic73—22no—
46C2×C4⋊Dic73—22no—
47C2×C4⋊Dic73—22no—
48C2×C4⋊Dic73—22no—
49C2×C4⋊Dic73—22no—
50C2×C4⋊Dic73—22no—
51C2×C4⋊Dic73—22no—
52C2×C4⋊Dic73C2×C414yes—
53C2×C4⋊Dic73C2×C414yes—
54C2×C4⋊Dic73D414yes—
55C2×C4⋊Dic73D414yes—
56C2×C4⋊Dic73Q814yes—
57C2×#11924007—24no—
58C2×#11924007—24no—
59C2×#11924007—24no—
60C2×#11924007—24no—
61C2×#11924007—42no—
62C2×#11924007—42no—
63C2×C4×Dic73—24no—
64C2×C4×Dic73—24no—
65C2×C4×Dic73—22no—
66C2×C4×Dic73—22no—
67C2×C4×Dic73—22no—
68C2×C4×Dic73—22no—
69C2×C4×Dic73—42no—
70C2×C4×Dic73C2×C414yes—
71C2×C4×Dic73C2×C414yes—
72#14556498—24no—
73#14556498—24no—
74#14556498—24no—
75#14556498—24no—
76#14556498—24no—
77#14556498—42no—
78#14556498—42no—
79#14556498C2×C414yes—
80#14556498C2×C414yes—
81C23×C4×C73C2312yes—
82C23×C4×C73C2311yescharacteristic
83C23×C4×C73C2312yes—
84C23×C4×C73C2311yescharacteristic
85C23×C4×C73C2311yescharacteristic
86C2×C4⋊C4×C73—22no—
87C2×C4⋊C4×C73—22no—
88C2×C4⋊C4×C73—22no—
89C2×C4⋊C4×C73—22no—
90C2×C4⋊C4×C73—22no—
91C2×C4⋊C4×C73Q814yes—
92C2×C42×C73—22no—
93C2×C42×C73—22no—
94C2×C42×C73C2×C414yes—
95#95×C73—24no—
96#95×C73—42no—
97C22×Dic73—21no—
98C22×Dic73—21no—
99C22×Dic73—21no—
100C22×Dic73—21no—
101C22×Dic73—21no—
102C22×Dic73—21no—
103C22×Dic73—21no—
104C22×Dic73—21no—
105C22×Dic73—21no—
106C22×Dic73—21no—
107C22×Dic73—21no—
108C22×Dic73—21no—
109C22×Dic73—21no—
110C22×Dic73—22no—
111C22×Dic73—21no—
112C22×Dic73—22no—
113C22×Dic73—21no—
114C22×Dic73—21no—
115C22×Dic73—22no—
116C22×Dic73—22no—
117C22×Dic73—21no—
118C22×Dic73—22no—
119C22×Dic73—22no—
120C22×Dic73—21no—
121C22×Dic73—22no—
122C22×Dic73—22no—
123C22×Dic73—22no—
124C22×Dic73—22no—
125C22×Dic73—22no—
126C22×Dic73—22no—
127C22×Dic73—22no—
128C22×Dic73C22×C412yes—
129C22×Dic73C22×C412yes—
130C22×Dic73C22×C412yes—
131C22×Dic73C22×C412yes—
132C22×Dic73C2×D414yes—
133C22×Dic73C2×D412yes—
134C22×Dic73C2×D412yes—
135C22×Dic73C2×Q812yes—
136C22×Dic73C2×Q812yes—
137C22×Dic73#4112yes—
138C22×Dic73#4112yes—
139C4⋊Dic73—28no—
140C4⋊Dic73—28no—
141C4⋊Dic73—44no—
142C4⋊Dic73C4⋊C4116yescomplemented
143#11924007—48no—
144#11924007—48no—
145C4×Dic73—28no—
146C4×Dic73—28no—
147C4×Dic73—48no—
148C24×C73C2411yescharacteristic
149C22×C4×C73—21no—
150C22×C4×C73—21no—
151C22×C4×C73—21no—
152C22×C4×C73—21no—
153C22×C4×C73—22no—
154C22×C4×C73—22no—
155C22×C4×C73—21no—
156C22×C4×C73—21no—
157C22×C4×C73—22no—
158C22×C4×C73—22no—
159C22×C4×C73—21no—
160C22×C4×C73—22no—
161C22×C4×C73—21no—
162C22×C4×C73—21no—
163C22×C4×C73—22no—
164C22×C4×C73—21no—
165C22×C4×C73—22no—
166C22×C4×C73—22no—
167C22×C4×C73—22no—
168C22×C4×C73—22no—
169C22×C4×C73—22no—
170C22×C4×C73—22no—
171C22×C4×C73—22no—
172C22×C4×C73C22×C412yes—
173C22×C4×C73C22×C412yes—
174C22×C4×C73C22×C412yes—
175C22×C4×C73C2×D412yes—
176C22×C4×C73C2×D412yes—
177C22×C4×C73C2×Q812yes—
178C22×C4×C73C2×Q814yes—
179C22×C4×C73C2×Q812yes—
180C22×C4×C73#4112yes—
181C22×C4×C73#4112yes—
182C22×C4×C73#4112yes—
183C22×C4×C73#4112yes—
184C4⋊C4×C73—28no—
185C4⋊C4×C73—44no—
186C42×C73—28no—
187C23×C73C23×C411yescharacteristic
188C23×C73C22×D411yescharacteristic
189C23×C73C22×D411yescharacteristic
190C23×C73C22×Q811yescharacteristic
191C23×C73C22×Q811yescharacteristic
192C23×C73C2×#4111yescharacteristic
193C23×C73C2×#4111yescharacteristic
194C23×C73C2×#4111yescharacteristic
195C23×C73C2×#4111yescharacteristic
196C23×C73C2×#4111yescharacteristic
197C23×C73C2×#4111yescharacteristic
198C23×C73H(5,𝔽2)11yescharacteristic
199C23×C73H(5,𝔽2)11yescharacteristic
200C23×C732−1+411yescharacteristic
201C23×C732−1+411yescharacteristic
202C2×C4×C73—22no—
203C2×C4×C73—22no—
204C2×C4×C73—22no—
205C2×C4×C73—22no—
206C2×C4×C73—22no—
207C2×C4×C73—22no—
208C2×C4×C73—22no—
209C2×C4×C73—22no—
210C2×C4×C73—22no—
211C2×C4×C73—24no—
212C2×C4×C73—24no—
213C2×C4×C73—24no—
214C2×C4×C73—42no—
215C2×C4×C73—41no—
216C2×C4×C73—41no—
217C2×C4×C73—41no—
218C2×C4×C73—42no—
219C2×C4×C73—41no—
220C2×C4×C73—42no—
221C2×C4×C73—42no—
222C2×C4×C73—42no—
223C2×C4×C73—42no—
224C2×C4×C73—42no—
225C2×C4×C73—42no—
226C2×C4×C73—42no—
227C2×C4×C73—42no—
228C2×C4×C73—42no—
229C2×C4×C73C2×C4⋊C414yes—
230C2×C4×C73#11714yes—
231C2×C4×C73C4×D414yes—
232C2×C4×C73C4×Q814yes—
233C2×C4×C73C22⋊Q814yes—
234C2×C4×C73#12314yes—
235C2×C4×C73#12514yes—
236C2×C4×C73#12614yes—
237C2×Dic73—22no—
238C2×Dic73—22no—
239C2×Dic73—22no—
240C2×Dic73—22no—
241C2×Dic73—22no—
242C2×Dic73—22no—
243C2×Dic73—22no—
244C2×Dic73—22no—
245C2×Dic73—22no—
246C2×Dic73—22no—
247C2×Dic73—22no—
248C2×Dic73—22no—
249C2×Dic73—22no—
250C2×Dic73—22no—
251C2×Dic73—22no—
252C2×Dic73—22no—
253C2×Dic73—22no—
254C2×Dic73—22no—
255C2×Dic73—22no—
256C2×Dic73—22no—
257C2×Dic73—22no—
258C2×Dic73—24no—
259C2×Dic73—24no—
260C2×Dic73—24no—
261C2×Dic73—42no—
262C2×Dic73—42no—
263C2×Dic73—41no—
264C2×Dic73—41no—
265C2×Dic73—42no—
266C2×Dic73—41no—
267C2×Dic73—41no—
268C2×Dic73—42no—
269C2×Dic73—42no—
270C2×Dic73—42no—
271C2×Dic73—42no—
272C2×Dic73—42no—
273C2×Dic73—42no—
274C2×Dic73—42no—
275C2×Dic73—42no—
276C2×Dic73C2×C4⋊C414yes—
277C2×Dic73C2×C4⋊C414yes—
278C2×Dic73#11714yes—
279C22×C73C22×C4⋊C411yescharacteristic
280C22×C73C2×#11711yescharacteristic
281C22×C73C2×#11711yescharacteristic
282C22×C73C2×C4×D411yescharacteristic
283C22×C73C2×C4×Q811yescharacteristic
284C22×C73#52011yescharacteristic
285C22×C73#52011yescharacteristic
286C22×C73C2×C22⋊Q811yescharacteristic
287C22×C73C2×#12311yescharacteristic
288C22×C73C2×#12511yescharacteristic
289C22×C73C2×#12611yescharacteristic
290C22×C73#53211yescharacteristic
291C22×C73#53211yescharacteristic
292C22×C73#53311yescharacteristic
293C22×C73#53311yescharacteristic
294C22×C73#54011yescharacteristic
295C22×C73#54111yescharacteristic
296C22×C73#54211yescharacteristic
297C22×C73#54211yescharacteristic
298C22×C73D4211yescharacteristic
299C22×C73#54611yescharacteristic
300C22×C73#54711yescharacteristic
301C22×C73#54811yescharacteristic
302C22×C73D4×Q811yescharacteristic
303C22×C73D4×Q811yescharacteristic
304C22×C73#55011yescharacteristic
305C22×C73#55211yescharacteristic
306C22×C73#55311yescharacteristic
307C22×C73#55411yescharacteristic
308C22×C73#55411yescharacteristic
309C22×C73#55611yescharacteristic
310C22×C73#55711yescharacteristic
311C22×C73#55711yescharacteristic
312C22×C73Q8211yescharacteristic
313C22×C73#55911yescharacteristic
314C4×C73—24no—
315C4×C73—42no—
316C4×C73—44no—
317C4×C73—82no—
318C4×C73#38718yescomplemented
319Dic73—24no—
320Dic73—24no—
321Dic73—24no—
322Dic73—42no—
323Dic73—44no—
324Dic73—82no—
325#13884—731nomaximal, Sylow
326C2×C73#228511yescharacteristic
327C2×C73C2×#38711yescharacteristic
328C2×C73#231411yescharacteristic
329C2×C73D4×C4⋊C411yescharacteristic
330C2×C73Q8×C4⋊C411yescharacteristic
331C2×C73#235211yescharacteristic
332C2×C73#235511yescharacteristic
333C2×C73#244511yescharacteristic
334C2×C73#244611yescharacteristic
335C2×C73#245111yescharacteristic
336C2×C73#245211yescharacteristic
337C2×C73#250611yescharacteristic
338C2×C73#250711yescharacteristic
339C2×C73#251111yescharacteristic
340C2×C73#251211yescharacteristic
341C2×#387—732no—
342C2×#384—731no—
343C2×C4×C4⋊C4—731no—
344C2×C4×C4⋊C4—731no—
345#1442—732no—
346#1441—732no—
347#1436—732no—
348C4⋊#95—731no—
349C4⋊#95—731no—
350C4⋊#95—731no—
351C4⋊#95D7311yescharacteristic
352C73#1388411yescharacteristic, complemented, Sylow
353C22×C4⋊C4—732no—
354C22×C4⋊C4—732no—
355C22×C4⋊C4—731no—
356C22×C4⋊C4—731no—
357C22×C4⋊C4—731no—
358C22×C4⋊C4—731no—
359C22×C4⋊C4C2×D7311yescharacteristic
360C22×C4⋊C4C2×D7311yescharacteristic
361C22×C42—732no—
362C22×C42—731no—
363C22×C42—731no—
364C22×C42C2×D7311yescharacteristic
365#387—1468no—
366#384—1464no—
367C4×C4⋊C4—738no—
368C4×C4⋊C4—1464no—
369C2×#95—732no—
370C2×#95—732no—
371C2×#95—731no—
372C2×#95—731no—
373C2×#95—732no—
374C2×#95—732no—
375C2×#95—732no—
376C2×#95—732no—
377C2×#95—732no—
378C2×#95C2×D7312yes—
379C2×#95C2×D7312yes—
380C23×C4—731no—
381C23×C4—731no—
382C23×C4—731no—
383C23×C4—732no—
384C23×C4—731no—
385C23×C4—732no—
386C23×C4C22×D7312yes—
387C23×C4C22×D7311yescharacteristic
388C23×C4C22×D7312yes—
389C23×C4C22×D7311yescharacteristic
390C23×C4C22×D7311yescharacteristic
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—2922no—
397C2×C4⋊C4—2922no—
398C2×C4⋊C4—734no—
399C2×C4⋊C4—734no—
400C2×C4⋊C4—734no—
401C2×C4⋊C4—734no—
402C2×C4⋊C4—734no—
403C2×C4⋊C4—1464no—
404C2×C4⋊C4—1464no—
405C2×C4⋊C4—1464no—
406C2×C4⋊C4—1464no—
407C2×C4⋊C4—1462no—
408C2×C4⋊C4—1462no—
409C2×C4⋊C4—1462no—
410C2×C4⋊C4—1462no—
411C2×C4⋊C4—1462no—
412C2×C4⋊C4—1462no—
413C2×C4⋊C4—1462no—
414C2×C4⋊C4Dic14614yes—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—2922no—
418C2×C42—734no—
419C2×C42—734no—
420C2×C42—1464no—
421C2×C42—1464no—
422C2×C42—1462no—
423C2×C42—1462no—
424C2×C42—1462no—
425C2×C42—1462no—
426C2×C42C4×D7314yes—
427#95—24no—
428#95—42no—
429#95—2922no—
430#95—2922no—
431#95—734no—
432#95—734no—
433#95—1464no—
434#95—1464no—
435#95—1464no—
436#95—1464no—
437#95—1464no—
438C24C23×D7311yescharacteristic
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—732no—
463C22×C4—732no—
464C22×C4—732no—
465C22×C4—732no—
466C22×C4—732no—
467C22×C4—732no—
468C22×C4—732no—
469C22×C4—732no—
470C22×C4—732no—
471C22×C4—732no—
472C22×C4—734no—
473C22×C4—1462no—
474C22×C4—1462no—
475C22×C4—1462no—
476C22×C4—1462no—
477C22×C4—1462no—
478C22×C4—1462no—
479C22×C4—1462no—
480C22×C4—1461no—
481C22×C4—1462no—
482C22×C4—1462no—
483C22×C4—1461no—
484C22×C4—1461no—
485C22×C4—1462no—
486C22×C4—1462no—
487C22×C4—1461no—
488C22×C4—1462no—
489C22×C4—1461no—
490C22×C4—1462no—
491C22×C4—1461no—
492C22×C4—1461no—
493C22×C4—1461no—
494C22×C4—1461no—
495C22×C4—1461no—
496C22×C4—1461no—
497C22×C4—1461no—
498C22×C4—1461no—
499C22×C4—1461no—
500C22×C4—1461no—
501C22×C4—1461no—
502C22×C4—1461no—
503C22×C4—1461no—
504C22×C4C2×C4×D7312yes—
505C22×C4C2×C4×D7312yes—
506C22×C4C2×C4×D7312yes—
507C22×C4D4×D7312yes—
508C22×C4D4×D7312yes—
509C22×C4Q8×D7312yes—
510C22×C4C2×Dic14614yes—
511C22×C4C2×Dic14612yes—
512C22×C4#1192402712yes—
513C22×C4#1192402712yes—
514C22×C4#1192402812yes—
515C22×C4#1192402912yes—
516C4⋊C4—28no—
517C4⋊C4—44no—
518C4⋊C4—2928no—
519C4⋊C4—2928no—
520C4⋊C4—2924no—
521C4⋊C4—7316no—
522C4⋊C4—1468no—
523C4⋊C4—1468no—
524C42—28no—
525C42—2928no—
526C42—1468no—
527C42—1468no—
528C23C22×C4×D7311yescharacteristic
529C23C2×D4×D7311yescharacteristic
530C23C2×D4×D7311yescharacteristic
531C23C2×Q8×D7311yescharacteristic
532C23C22×Dic14611yescharacteristic
533C23#41×D7311yescharacteristic
534C23#41×D7311yescharacteristic
535C23C2×#1192402711yescharacteristic
536C23C2×#1192402711yescharacteristic
537C23C2×#1192402811yescharacteristic
538C23C2×#1192402911yescharacteristic
539C23#1455663611yescharacteristic
540C23#1455663711yescharacteristic
541C23#1455663811yescharacteristic
542C23#1455663911yescharacteristic
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—24no—
550C2×C4—22no—
551C2×C4—24no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—24no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—42no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—42no—
570C2×C4—2922no—
571C2×C4—2922no—
572C2×C4—2921no—
573C2×C4—2921no—
574C2×C4—2922no—
575C2×C4—2921no—
576C2×C4—2921no—
577C2×C4—2922no—
578C2×C4—2922no—
579C2×C4—2922no—
580C2×C4—2922no—
581C2×C4—2922no—
582C2×C4—2922no—
583C2×C4—2922no—
584C2×C4—2922no—
585C2×C4—734no—
586C2×C4—734no—
587C2×C4—734no—
588C2×C4—1464no—
589C2×C4—1464no—
590C2×C4—1462no—
591C2×C4—1462no—
592C2×C4—1462no—
593C2×C4—1464no—
594C2×C4—1462no—
595C2×C4—1462no—
596C2×C4—1462no—
597C2×C4—1462no—
598C2×C4—1462no—
599C2×C4—1462no—
600C2×C4—1462no—
601C2×C4—1462no—
602C2×C4—1462no—
603C2×C4—1462no—
604C2×C4—1462no—
605C2×C4—1462no—
606C2×C4—1462no—
607C2×C4—1462no—
608C2×C4—1462no—
609C2×C4—1462no—
610C2×C4—1462no—
611C2×C4—1462no—
612C2×C4C4⋊C4×D7314yes—
613C2×C4#1455654714yes—
614C2×C4#1455655314yes—
615C2×C4C4×Dic14614yes—
616C2×C4#1455656814yes—
617C2×C4#1455657314yes—
618C2×C4#1455658214yes—
619C2×C4#1455658614yes—
620C22C2×C4⋊C4×D7311yescharacteristic
621C22#117×D7311yescharacteristic
622C22C2×#1455654711yescharacteristic
623C22C2×#1455655311yescharacteristic
624C22C2×C4×Dic14611yescharacteristic
625C22#1798906711yescharacteristic
626C22#1798906811yescharacteristic
627C22C2×#1455656811yescharacteristic
628C22C2×#1455657311yescharacteristic
629C22C2×#1455658211yescharacteristic
630C22C2×#1455658611yescharacteristic
631C22#1798913211yescharacteristic
632C22#1798913211yescharacteristic
633C22#1798913911yescharacteristic
634C22#1798913911yescharacteristic
635C22#1798919011yescharacteristic
636C22#1798919711yescharacteristic
637C22#1798920411yescharacteristic
638C22#1798921011yescharacteristic
639C22#1798922211yescharacteristic
640C22#1798923011yescharacteristic
641C22#1798924011yescharacteristic
642C22#1798924511yescharacteristic
643C22#1798925211yescharacteristic
644C22D4×Dic14611yescharacteristic
645C22#1798925811yescharacteristic
646C22#1798927511yescharacteristic
647C22#1798929011yescharacteristic
648C22#1798929611yescharacteristic
649C22#1798929811yescharacteristic
650C22#1798930911yescharacteristic
651C22#1798931311yescharacteristic
652C22#1798931511yescharacteristic
653C22Q8×Dic14611yescharacteristic
654C22#1798932011yescharacteristic
655C4—24no—
656C4—44no—
657C4—42no—
658C4—82no—
659C4—2922no—
660C4—2924no—
661C4—5842no—
662C4—1464no—
663C4—1464no—
664C4—1464no—
665C4#1798847018yescomplemented
666C2#2261233311yescharacteristic
667C2C2×#1798847011yescharacteristic
668C2#2261253811yescharacteristic
669C2#2261283111yescharacteristic
670C2C4⋊C4×Dic14611yescharacteristic
671C2#2261285711yescharacteristic
672C2#2261288911yescharacteristic
673C2#2261369911yescharacteristic
674C2#2261371011yescharacteristic
675C2#2261377311yescharacteristic
676C2#2261378411yescharacteristic
677C2#2261445011yescharacteristic
678C2#2261446111yescharacteristic
679C2#2261450911yescharacteristic
680C2#2261452011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D73
commutatorC23×C73C23×C4
FittingC73×C4⋊#95C2
socle, prime radical, cosocleC24×C73C24
hypercenterC4⋊#95D73
hypocenterC73#13884
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
24. C4×C4⋊Dic73C4semidirect
142. C4⋊Dic73C4⋊C4semidirect
318. C4×C73#387semidirect
352. C73#13884semidirect
665. C4#17988470semidirect

Maximal subgroups

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

subgroupindex
C2×#179884702
C2×#179884562
C2×C4⋊C4×Dic732
C2×C4×C4⋊Dic732
#226081892
#226081832
#226081622
#226081612
#226081602
C73×C4⋊#952
#1388473