Finite Group Databasebeta

← #33102207

Subgroups — #33102207

Order 18688.

1162 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989279C211yesmaximal, characteristic
2C2×#17988650C211yesmaximal, characteristic
3#22612856C211yesmaximal, characteristic
4#22610894C211yesmaximal, characteristic, complemented
5#22610885C211yesmaximal, characteristic, complemented
6#22610355C211yesmaximal, characteristic, complemented
7#22610351C211yesmaximal, characteristic, complemented
8#22610240C211yesmaximal, characteristic, complemented
9#22610025C211yesmaximal, characteristic, complemented
10#22610018C211yesmaximal, characteristic, complemented
11#22609944C211yesmaximal, characteristic, complemented
12#103×Dic73C211yesmaximal, characteristic, complemented
13#22609646C211yesmaximal, characteristic, complemented
14C2×#17988349C211yesmaximal, characteristic, complemented
15C73×#1872C211yesmaximal, characteristic, complemented
16C23×#10596831C2211yescharacteristic
17C22×C8×D73C2211yescharacteristic
18#17989279—24no—
19#17989279C418yescomplemented
20C2×#14556586—21no—
21C2×#14556582—21no—
22C2×#14556582C2211yescharacteristic
23C2×#14556575—21no—
24C2×#14556567C2211yescharacteristic
25C2×Q8×Dic73C2211yescharacteristic
26C2×C4×C22⋊D73C2211yescharacteristic
27C2×#14556549C2211yescharacteristic
28C2×#14556549C2211yescharacteristic
29C2×#14556547—21no—
30C22×C4⋊Dic73C2211yescharacteristic
31#17988650—24no—
32C2×#14556520C2211yescharacteristic
33C2×#14556515C2211yescharacteristic
34C2×#14556515C2211yescharacteristic
35C2×#14556503C2211yescharacteristic
36C2×C8×Dic73C2211yescharacteristic
37#17988477—21no—
38#17988468—21no—
39#17988466—21no—
40#17988452C2211yescharacteristic
41#17988447C2211yescharacteristic
42#17988444C2211yescharacteristic
43C4⋊C4×Dic73C2211yescharacteristic
44C4×C22⋊Dic73—21no—
45#17988350C2211yescharacteristic
46#17988350C2211yescharacteristic
47#17988350C2211yescharacteristic
48#17988350C2211yescharacteristic
49#17988349C2211yescharacteristic
50#17988349C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988349C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C2×C22⋊Q8×C73C2211yescharacteristic
56C22×C4⋊C4×C73C2211yescharacteristic
57C2×#103×C73C2211yescharacteristic
58C2×#103×C73C2211yescharacteristic
59C2×C22⋊C8×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×C22⋊D73D411yescharacteristic
63C23×Dic73—21no—
64C22×C4×D73C2311yescharacteristic
65C22×#10596831—22no—
66C22×#10596831—22no—
67C22×#10596831—41no—
68C22×#10596831C2311yescharacteristic
69C22×#10596831C2311yescharacteristic
70C2×C8×D73—22no—
71C2×C8×D73—22no—
72C2×C8×D73—41no—
73#14556586—28no—
74#14556582—28no—
75#14556582—22no—
76#14556582C2×C414yescomplemented
77#14556575—28no—
78#14556567—22no—
79#14556567C2×C414yescomplemented
80Q8×Dic73—22no—
81Q8×Dic73C2×C414yescomplemented
82C4×C22⋊D73C2×C414yes—
83C4×C22⋊D73D414yes—
84#14556549—22no—
85#14556549—22no—
86#14556549—41no—
87#14556549C2×C414yescomplemented
88#14556547—28no—
89C2×C4⋊Dic73—21no—
90C2×C4⋊Dic73—21no—
91C2×C4⋊Dic73—22no—
92C2×C4⋊Dic73—21no—
93C2×C4⋊Dic73C2×C414yes—
94C2×C4⋊Dic73C2311yescharacteristic
95C2×C4⋊Dic73C2311yescharacteristic
96C2×C4⋊Dic73C2311yescharacteristic
97C2×C4⋊Dic73C2311yescharacteristic
98C2×#11924007—21no—
99C2×#11924007—21no—
100C2×#11924007D411yescharacteristic
101C2×C22⋊Dic73—21no—
102C2×C22⋊Dic73D411yescharacteristic
103C2×#11924005—21no—
104C2×#11924005—21no—
105C2×#11924005—21no—
106C2×#11924005—21no—
107C2×#11924005D411yescharacteristic
108C2×C4×Dic73—21no—
109C2×C4×Dic73—21no—
110C2×C4×Dic73—21no—
111C2×C4×Dic73—21no—
112C2×C4×Dic73C2311yescharacteristic
113#14556520—22no—
114#14556515—22no—
115#14556515—41no—
116#14556503—22no—
117C8×Dic73—22no—
118#14556498—21no—
119#14556498—21no—
120#14556498—21no—
121#14556498—21no—
122#14556498—21no—
123C22×Q8×C73C2311yescharacteristic
124C23×C4×C73—21no—
125C23×C4×C73C2311yescharacteristic
126C22×C8×C73C2311yescharacteristic
127C22×C8×C73C2311yescharacteristic
128C22⋊Q8×C73—22no—
129C22⋊Q8×C73C2×C414yes—
130C2×C4⋊C4×C73—21no—
131C2×C4⋊C4×C73—22no—
132C2×C4⋊C4×C73—21no—
133C2×C4⋊C4×C73—41no—
134C2×C4⋊C4×C73C2311yescharacteristic
135C2×C4⋊C4×C73C2311yescharacteristic
136C2×C4⋊C4×C73C2311yescharacteristic
137C2×C22⋊C4×C73—21no—
138#103×C73—22no—
139#103×C73—41no—
140C22⋊C8×C73—22no—
141C23×D73C2×D411yescharacteristic
142C2×C22⋊D73—22no—
143C2×C22⋊D73—22no—
144C2×C22⋊D73C22⋊C414yes—
145C22×Dic73—24no—
146C22×Dic73—21no—
147C22×Dic73—21no—
148C22×Dic73—21no—
149C22×Dic73—21no—
150C22×Dic73—42no—
151C22×Dic73—42no—
152C22×Dic73C2×D411yescharacteristic
153C22×Dic73C2×D411yescharacteristic
154C22×Dic73C2×D411yescharacteristic
155C2×C4×D73—21no—
156C2×C4×D73—21no—
157C2×C4×D73—21no—
158C2×C4×D73—21no—
159C2×C4×D73C22×C412yes—
160C2×C4×D73C2×D412yes—
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C2×#10596831—21no—
166C2×#10596831—44no—
167C2×#10596831#4112yes—
168C8×D73—44no—
169C4⋊Dic73—24no—
170C4⋊Dic73—21no—
171C4⋊Dic73—21no—
172C4⋊Dic73—24no—
173C4⋊Dic73—24no—
174C4⋊Dic73—21no—
175C4⋊Dic73—21no—
176C4⋊Dic73—21no—
177C4⋊Dic73—21no—
178C4⋊Dic73C22×C412yes—
179C4⋊Dic73C22×C412yes—
180#11924007—24no—
181#11924007—24no—
182#11924007C22⋊C414yes—
183C22⋊Dic73—42no—
184C22⋊Dic73C22⋊C414yes—
185#11924005—24no—
186#11924005—24no—
187#11924005—42no—
188#11924005—81no—
189#11924005C22⋊C414yes—
190C4×Dic73—24no—
191C4×Dic73—24no—
192C4×Dic73—42no—
193C4×Dic73—81no—
194C4×Dic73C22×C412yes—
195C4×Dic73C2×D412yes—
196C24×C73C2×D411yescharacteristic
197C2×Q8×C73—21no—
198C2×Q8×C73—21no—
199C2×Q8×C73—21no—
200C2×Q8×C73—21no—
201C2×Q8×C73—21no—
202C2×Q8×C73C22×C412yes—
203C22×C4×C73—21no—
204C22×C4×C73—21no—
205C22×C4×C73—21no—
206C22×C4×C73—21no—
207C22×C4×C73—21no—
208C22×C4×C73—21no—
209C22×C4×C73—21no—
210C22×C4×C73—21no—
211C22×C4×C73—42no—
212C22×C4×C73—42no—
213C22×C4×C73—81no—
214C22×C4×C73C22×C412yes—
215C22×C4×C73C2×D411yescharacteristic
216C22×C4×C73C2×D412yes—
217C22×C4×C73C2411yescharacteristic
218C2×C8×C73—21no—
219C2×C8×C73—21no—
220C2×C8×C73—21no—
221C2×C8×C73—21no—
222C2×C8×C73—21no—
223C2×C8×C73—21no—
224C4⋊C4×C73—24no—
225C4⋊C4×C73—21no—
226C4⋊C4×C73—21no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—42no—
230C4⋊C4×C73C22×C412yes—
231C4⋊C4×C73#4112yes—
232C22⋊C4×C73—24no—
233C23×C73—21no—
234C23×C73—21no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73C2×C22⋊C412yes—
238C23×C73#13512yes—
239C23×C73#13512yes—
240C23×C73C22×D411yescharacteristic
241C22×D73—21no—
242C22×D73—21no—
243C22×D73—21no—
244C22×D73—21no—
245C22×D73—21no—
246C22×D73—21no—
247C22×D73C2×C22⋊C412yes—
248Q8×C73—22no—
249Q8×C73—22no—
250Q8×C73—41no—
251Q8×C73—41no—
252C2×C4×C73—21no—
253C2×C4×C73—21no—
254C2×C4×C73—22no—
255C2×C4×C73—22no—
256C2×C4×C73—22no—
257C2×C4×C73—22no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—22no—
261C2×C4×C73—41no—
262C2×C4×C73—41no—
263C2×C4×C73—41no—
264C2×C4×C73—41no—
265C2×C4×C73—41no—
266C2×C4×C73—41no—
267C2×C4×C73—41no—
268C2×C4×C73—41no—
269C2×C4×C73—41no—
270C2×C4×C73—84no—
271C2×C4×C73C2×C22⋊C412yes—
272C2×C4×C73C23×C411yescharacteristic
273C2×C4×C73C22×D411yescharacteristic
274C2×C4×C73C2×#4111yescharacteristic
275C2×C4×C73C2×#4111yescharacteristic
276C2×C4×C73H(5,𝔽2)11yescharacteristic
277C2×C4×C732−1+411yescharacteristic
278C22⋊D73—28no—
279C2×Dic73—21no—
280C2×Dic73—21no—
281C2×Dic73—21no—
282C2×Dic73—21no—
283C2×Dic73—21no—
284C2×Dic73—21no—
285C2×Dic73—22no—
286C2×Dic73—22no—
287C2×Dic73—41no—
288C2×Dic73—41no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—48no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—41no—
298C2×Dic73C2×C22⋊C412yes—
299C2×Dic73C2×C22⋊C412yes—
300C2×Dic73C2×C22⋊C412yes—
301C4×D73—22no—
302C4×D73—22no—
303C4×D73—22no—
304C4×D73—22no—
305C8×C73—41no—
306C8×C73—41no—
307#10596831—22no—
308#10596831—41no—
309C22×C73—22no—
310C22×C73—22no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73—22no—
314C22×C73—22no—
315C22×C73#41614yes—
316C22×C73C22×C22⋊C411yescharacteristic
317C22×C73#54611yescharacteristic
318C22×C73#54711yescharacteristic
319C22×C73C2×#13511yescharacteristic
320C22×C73C2×#13511yescharacteristic
321C22×C73#57711yescharacteristic
322C22×C73#57811yescharacteristic
323C2×D73—22no—
324C2×D73—22no—
325C2×D73—22no—
326C2×D73—41no—
327C2×D73—41no—
328C2×D73—41no—
329C2×D73—41no—
330C4×C73—22no—
331C4×C73—42no—
332C4×C73—42no—
333C4×C73—42no—
334C4×C73—81no—
335C4×C73C4×#4111yescharacteristic
336C4×C73#52011yescharacteristic
337C4×C73#54611yescharacteristic
338C4×C73#54711yescharacteristic
339Dic73—22no—
340Dic73—22no—
341Dic73—22no—
342Dic73—42no—
343Dic73—42no—
344Dic73—81no—
345Dic73—81no—
346#22486—731nomaximal, Sylow
347C2×C73—24no—
348C2×C73#233911yescharacteristic
349C2×C73C2×#41611yescharacteristic
350C2×C73#289811yescharacteristic
351C2×C73#329611yescharacteristic
352C2×C73#330011yescharacteristic
353C2×C73#333611yescharacteristic
354C2×C73#333711yescharacteristic
355D73—42no—
356C2×#552—731no—
357C2×C8×D4—731no—
358#2352—731no—
359#1991—731no—
360#1989—731no—
361#1892—731no—
362#1892—731no—
363#1873—731no—
364#1872D7311yescharacteristic, complemented
365#1825—731no—
366#1823—731no—
367#1805—731no—
368C4×#103—731no—
369#1735—731no—
370C2×#340—731no—
371C73#2248611yescharacteristic, complemented, Sylow
372C23×C8—731no—
373C23×C8—731no—
374#552—738no—
375#552—1464no—
376C2×#126—1461no—
377C2×#125—731no—
378C2×#125—1461no—
379C2×#123—1461no—
380C2×C22⋊Q8—731no—
381C2×C22⋊Q8C2×D7311yescharacteristic
382C2×C4×Q8—731no—
383C2×C4×D4—731no—
384C2×#117—731no—
385C2×#117—731no—
386C2×#117—1461no—
387C22×C4⋊C4—731no—
388C22×C4⋊C4C2×D7311yescharacteristic
389C8×D4—1464no—
390C2×C4⋊C8—731no—
391C2×#103—731no—
392C2×#103—731no—
393C2×#103C2×D7311yescharacteristic
394C2×#103C2×D7311yescharacteristic
395C2×C22⋊C8—731no—
396C2×C22⋊C8C2×D7311yescharacteristic
397C2×C4×C8—731no—
398#388—1461no—
399#387—1461no—
400#386—1461no—
401#382—731no—
402#380—731no—
403#380—731no—
404C4×C4⋊C4—731no—
405C4×C22⋊C4—1461no—
406#340—731no—
407#340—731no—
408#340—731no—
409#340—731no—
410#340—731no—
411#340—731no—
412#340—731no—
413#340—731no—
414#340—731no—
415#340—731no—
416#340C2×D7311yescharacteristic
417#340C2×D7311yescharacteristic
418C22×Q8C22×D7311yescharacteristic
419C22×D4—731no—
420C23×C4—21no—
421C23×C4—731no—
422C23×C4—1461no—
423C23×C4C22×D7311yescharacteristic
424C22×C8—2921no—
425C22×C8—2921no—
426C22×C8—731no—
427C22×C8—731no—
428C22×C8—1462no—
429C22×C8—1462no—
430C22×C8—1462no—
431C22×C8—1462no—
432C22×C8C22×D7311yescharacteristic
433C22×C8C22×D7311yescharacteristic
434#126—1468no—
435#125—734no—
436#125—1462no—
437#125—1468no—
438#123—1468no—
439C22⋊Q8—22no—
440C22⋊Q8—734no—
441C22⋊Q8—1462no—
442C22⋊Q8C4×D7314yes—
443C4×Q8—734no—
444C4×Q8—1462no—
445C4×D4—734no—
446C4×D4—734no—
447#117—2921no—
448#117—734no—
449#117—1462no—
450#117—1468no—
451#117—1462no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—41no—
456C2×C4⋊C4—731no—
457C2×C4⋊C4—734no—
458C2×C4⋊C4—731no—
459C2×C4⋊C4—731no—
460C2×C4⋊C4—731no—
461C2×C4⋊C4—731no—
462C2×C4⋊C4—1461no—
463C2×C4⋊C4—1461no—
464C2×C4⋊C4—1461no—
465C2×C4⋊C4—1461no—
466C2×C4⋊C4—1461no—
467C2×C4⋊C4—1462no—
468C2×C4⋊C4C22×D7311yescharacteristic
469C2×C4⋊C4C22×D7311yescharacteristic
470C2×C4⋊C4C22×D7311yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—731no—
473C2×C22⋊C4—731no—
474C2×C22⋊C4—1461no—
475C2×C22⋊C4—1461no—
476C2×C22⋊C4—1461no—
477C2×C22⋊C4—1461no—
478C2×C22⋊C4—1461no—
479C2×C42—731no—
480C2×C42—1461no—
481C2×C42—1461no—
482C2×C42—1461no—
483C2×C42—1461no—
484C4⋊C8—1462no—
485#103—22no—
486#103—41no—
487#103—2921no—
488#103—1462no—
489C22⋊C8—22no—
490C22⋊C8—1462no—
491C4×C8—1462no—
492#95—1461no—
493#95—1461no—
494#95—1461no—
495#95—1461no—
496#95—1461no—
497C24—731no—
498C24D4×D7311yescharacteristic
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8C2×C4×D7312yes—
505C2×D4—734no—
506C2×D4—1462no—
507C2×D4—1462no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—2922no—
520C22×C4—2922no—
521C22×C4—731no—
522C22×C4—731no—
523C22×C4—731no—
524C22×C4—732no—
525C22×C4—732no—
526C22×C4—1461no—
527C22×C4—1461no—
528C22×C4—1464no—
529C22×C4—1461no—
530C22×C4—1461no—
531C22×C4—1461no—
532C22×C4—1461no—
533C22×C4—1461no—
534C22×C4—1461no—
535C22×C4C2×C4×D7312yes—
536C22×C4D4×D7311yescharacteristic
537C22×C4D4×D7312yes—
538C22×C4C23×D7311yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—2924no—
546C2×C8—2924no—
547C2×C8—732no—
548C2×C8—1461no—
549C2×C8—1461no—
550C2×C8—1461no—
551C2×C8—1461no—
552C2×C8—1461no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—734no—
560C4⋊C4—732no—
561C4⋊C4—732no—
562C4⋊C4—1464no—
563C4⋊C4—1464no—
564C4⋊C4—1464no—
565C4⋊C4—1464no—
566C4⋊C4—1461no—
567C4⋊C4—1461no—
568C4⋊C4—1461no—
569C4⋊C4—1461no—
570C4⋊C4—1464no—
571C4⋊C4—1461no—
572C4⋊C4—1461no—
573C4⋊C4C2×C4×D7312yes—
574C4⋊C4#1192402712yes—
575C22⋊C4—24no—
576C22⋊C4—2922no—
577C22⋊C4—2922no—
578C22⋊C4—5841no—
579C22⋊C4—734no—
580C22⋊C4—734no—
581C22⋊C4—1464no—
582C22⋊C4—1464no—
583C42—2922no—
584C42—5841no—
585C42—732no—
586C42—732no—
587C42—1464no—
588C42—1464no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—732no—
594C23—1461no—
595C23—1461no—
596C23—1461no—
597C23—1461no—
598C23—1461no—
599C23—1461no—
600C23C22⋊C4×D7312yes—
601C23#1455661212yes—
602C23#1455661412yes—
603C23C2×D4×D7311yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—1468no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—2928no—
629C2×C4—2921no—
630C2×C4—2921no—
631C2×C4—2921no—
632C2×C4—2921no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—732no—
640C2×C4—732no—
641C2×C4—732no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4—1461no—
645C2×C4—1461no—
646C2×C4—1461no—
647C2×C4—1461no—
648C2×C4—1461no—
649C2×C4—1461no—
650C2×C4—1462no—
651C2×C4—1462no—
652C2×C4—1462no—
653C2×C4—1462no—
654C2×C4C22⋊C4×D7312yes—
655C2×C4C22×C4×D7311yescharacteristic
656C2×C4C2×D4×D7311yescharacteristic
657C2×C4#41×D7311yescharacteristic
658C2×C4C2×#1192402711yescharacteristic
659C2×C4#1455663611yescharacteristic
660C2×C4#1455663811yescharacteristic
661C8—41no—
662C8—41no—
663C8—2921no—
664C8—1462no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—2921no—
672C22—2921no—
673C22—2921no—
674C22—2921no—
675C22—1462no—
676C22—1462no—
677C22—1462no—
678C22#1798858214yes—
679C22C2×C22⋊C4×D7311yescharacteristic
680C22#1798922411yescharacteristic
681C22#1798923511yescharacteristic
682C22C2×#1455661211yescharacteristic
683C22C2×#1455661411yescharacteristic
684C22#1798939711yescharacteristic
685C22#1798940311yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—2922no—
692C4—2922no—
693C4—5841no—
694C4—5841no—
695C4—1462no—
696C4—1462no—
697C4—1462no—
698C4C4×#1192402711yescharacteristic
699C4#1798906611yescharacteristic
700C4#1798922611yescharacteristic
701C4#1798923711yescharacteristic
702C2—24no—
703C2—2922no—
704C2#2261275711yescharacteristic
705C2C2×#1798858211yescharacteristic
706C2#2261846211yescharacteristic
707C2#2262177011yescharacteristic
708C2#2262182211yescharacteristic
709C2#2262229711yescharacteristic
710C2#2262230811yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1872C2
socleC23×C73C22×D4
prime radicalC22×C22⋊D73D4
cosocleC22×C4×C73C24
hypercenter#1872D73
hypocenterC73#22486
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
4. #22610894C2semidirect
5. #22610885C2semidirect
6. #22610355C2semidirect
7. #22610351C2semidirect
8. #22610240C2semidirect
9. #22610025C2semidirect
10. #22610018C2semidirect
11. #22609944C2semidirect
12. #103×Dic73C2semidirect
13. #22609646C2semidirect
14. C2×#17988349C2semidirect
15. C73×#1872C2semidirect
19. #17989279C4semidirect
76. #14556582C2×C4semidirect
79. #14556567C2×C4semidirect
81. Q8×Dic73C2×C4semidirect
87. #14556549C2×C4semidirect
364. #1872D73semidirect
371. C73#22486semidirect

Maximal subgroups

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

subgroupindex
C2×#179892792
C2×#179886502
#226128562
#226108942
#226108852
#226103552
#226103512
#226102402
#226100252
#226100182
#226099442
#103×Dic732
#226096462
C2×#179883492
C73×#18722
#2248673