Finite Group Databasebeta

← #33091129

Subgroups — #33091129

Order 18688.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989204C211yesmaximal, characteristic
2C2×#17988645C211yesmaximal, characteristic, complemented
3#22612288C211yesmaximal, characteristic, complemented
4#22610881C211yesmaximal, characteristic, complemented
5#22610877C211yesmaximal, characteristic, complemented
6#22610862C211yesmaximal, characteristic, complemented
7#22610862C211yesmaximal, characteristic, complemented
8#22610254C211yesmaximal, characteristic
9#22610241C211yesmaximal, characteristic, complemented
10#22610238C211yesmaximal, characteristic, complemented
11#22609760C211yesmaximal, characteristic, complemented
12#22609758C211yesmaximal, characteristic, complemented
13#22609750C211yesmaximal, characteristic, complemented
14#102×Dic73C211yesmaximal, characteristic, complemented
15C73×#1874C211yesmaximal, characteristic
16#17989204—24no—
17#17989204C418yescomplemented
18C2×#14556590C2211yescharacteristic
19C2×#14556584—21no—
20C2×#14556578—21no—
21C2×#14556578C2211yescharacteristic
22C2×#14556572—21no—
23C2×#14556570C2211yescharacteristic
24C2×#14556568—21no—
25C2×#14556556C2211yescharacteristic
26C2×D4×Dic73C2211yescharacteristic
27C2×#14556550C2211yescharacteristic
28C2×#14556550C2211yescharacteristic
29#17988645—24no—
30C2×#14556520C2211yescharacteristic
31C2×#14556520C2211yescharacteristic
32C2×#14556516C2211yescharacteristic
33C2×#14556516C2211yescharacteristic
34C2×#14556514C2211yescharacteristic
35C2×#14556514C2211yescharacteristic
36C2×#14556512C2211yescharacteristic
37C2×#14556512C2211yescharacteristic
38C2×C22⋊#10596831C2211yescharacteristic
39C2×#14556501C2211yescharacteristic
40C2×C8×Dic73C2211yescharacteristic
41C4⋊C4×Dic73—21no—
42C4⋊C4×Dic73—21no—
43C4⋊C4×Dic73C2211yescharacteristic
44C4⋊C4×Dic73C2211yescharacteristic
45C4⋊C4×Dic73C2211yescharacteristic
46C4⋊C4×Dic73C2211yescharacteristic
47C4×C22⋊Dic73—21no—
48C4×C22⋊Dic73—21no—
49#17988350C2211yescharacteristic
50#17988350C2211yescharacteristic
51#17988349C2211yescharacteristic
52#17988349C2211yescharacteristic
53#17988349C2211yescharacteristic
54#17988349C2211yescharacteristic
55C2×#121×C73C2211yescharacteristic
56C22×C4⋊C4×C73C2211yescharacteristic
57C2×#102×C73C2211yescharacteristic
58C2×#102×C73C2211yescharacteristic
59C2×C22⋊C8×C73C2211yescharacteristic
60#340×C73C2211yescharacteristic
61#340×C73C2211yescharacteristic
62C22×Dic146—21no—
63C22×Dic146C2311yescharacteristic
64C23×Dic73—21no—
65C22×#10596831C2311yescharacteristic
66C22×#10596831C2311yescharacteristic
67#14556590—22no—
68#14556590C2×C414yescomplemented
69#14556584—28no—
70#14556578—28no—
71#14556578—22no—
72#14556578C2×C414yescomplemented
73#14556572—28no—
74#14556570—22no—
75#14556570C2×C414yes—
76#14556568—28no—
77#14556556—22no—
78#14556556C2×C414yescomplemented
79D4×Dic73—22no—
80D4×Dic73C2×C414yescomplemented
81#14556550—22no—
82#14556550—22no—
83#14556550C2×C414yes—
84#14556550D414yes—
85C2×C4⋊Dic73D411yescharacteristic
86C2×C4⋊Dic73D411yescharacteristic
87C2×C4⋊Dic73C2311yescharacteristic
88C2×C4⋊Dic73C2311yescharacteristic
89C2×C4⋊Dic73C2311yescharacteristic
90C2×#11924007—21no—
91C2×#11924007—21no—
92C2×#11924007—21no—
93C2×C22⋊Dic73—21no—
94C2×C22⋊Dic73—21no—
95C2×C22⋊Dic73—21no—
96C2×C22⋊Dic73—21no—
97C2×C22⋊Dic73—21no—
98C2×C22⋊Dic73D411yescharacteristic
99C2×C22⋊Dic73D411yescharacteristic
100C2×C4×Dic73—21no—
101C2×C4×Dic73—21no—
102C2×C4×Dic73—21no—
103C2×C4×Dic73—21no—
104C2×C4×Dic73—21no—
105C2×C4×Dic73—21no—
106C2×C4×Dic73C2311yescharacteristic
107C2×C4×Dic73C2311yescharacteristic
108#14556520—22no—
109#14556520—22no—
110#14556516—22no—
111#14556516—22no—
112#14556514—22no—
113#14556514—22no—
114#14556512—22no—
115#14556512—22no—
116C22⋊#10596831—22no—
117#14556501—22no—
118C8×Dic73—22no—
119#14556498—21no—
120#14556498—21no—
121#14556498—21no—
122#14556498—21no—
123C22×D4×C73—21no—
124C22×D4×C73C2311yescharacteristic
125C23×C4×C73—21no—
126C23×C4×C73C2311yescharacteristic
127C22×C8×C73C2311yescharacteristic
128C22×C8×C73C2311yescharacteristic
129#121×C73—22no—
130#121×C73C2×C414yes—
131C2×C4⋊C4×C73—21no—
132C2×C4⋊C4×C73—22no—
133C2×C4⋊C4×C73—22no—
134C2×C4⋊C4×C73C2311yescharacteristic
135C2×C4⋊C4×C73C2311yescharacteristic
136C2×C4⋊C4×C73C2311yescharacteristic
137C2×C22⋊C4×C73—21no—
138#102×C73—22no—
139#102×C73—22no—
140C22⋊C8×C73—22no—
141C2×Dic146—21no—
142C2×Dic146—21no—
143C2×Dic146—21no—
144C2×Dic146—21no—
145C2×Dic146—21no—
146C2×Dic146—24no—
147C2×Dic146—81no—
148C2×Dic146—81no—
149C2×Dic146C22×C412yes—
150C22×Dic73—21no—
151C22×Dic73—21no—
152C22×Dic73—21no—
153C22×Dic73—21no—
154C22×Dic73—24no—
155C22×Dic73—81no—
156C22×Dic73—81no—
157C22×Dic73C2×D411yescharacteristic
158C22×Dic73C2×D411yescharacteristic
159C22×Dic73C2×D411yescharacteristic
160C22×Dic73C2×D411yescharacteristic
161C2×#10596831—21no—
162C2×#10596831—21no—
163C2×#10596831—21no—
164C2×#10596831—21no—
165C2×#10596831—21no—
166C2×#10596831—21no—
167C4⋊Dic73—21no—
168C4⋊Dic73—21no—
169C4⋊Dic73—21no—
170C4⋊Dic73C22⋊C414yes—
171C4⋊Dic73C22⋊C414yes—
172C4⋊Dic73C22×C412yes—
173C4⋊Dic73#4112yes—
174C4⋊Dic73#4112yes—
175#11924007—24no—
176#11924007—24no—
177#11924007—24no—
178C22⋊Dic73—24no—
179C22⋊Dic73—24no—
180C22⋊Dic73—24no—
181C22⋊Dic73—24no—
182C22⋊Dic73—24no—
183C22⋊Dic73C22⋊C414yes—
184C22⋊Dic73C22⋊C414yes—
185C4×Dic73—24no—
186C4×Dic73—24no—
187C4×Dic73—81no—
188C4×Dic73—81no—
189C4×Dic73—81no—
190C4×Dic73—81no—
191C4×Dic73C22×C412yes—
192C4×Dic73C22×C412yes—
193C4×Dic73C2×D412yes—
194C4×Dic73C2×D412yes—
195C24×C73—21no—
196C24×C73C2×D411yescharacteristic
197C2×D4×C73—24no—
198C2×D4×C73—21no—
199C2×D4×C73—21no—
200C2×D4×C73—21no—
201C2×D4×C73—21no—
202C2×D4×C73—21no—
203C2×D4×C73—81no—
204C2×D4×C73—81no—
205C2×D4×C73C22×C412yes—
206C22×C4×C73—21no—
207C22×C4×C73—21no—
208C22×C4×C73—21no—
209C22×C4×C73—21no—
210C22×C4×C73—21no—
211C22×C4×C73—21no—
212C22×C4×C73—21no—
213C22×C4×C73—24no—
214C22×C4×C73—81no—
215C22×C4×C73—81no—
216C22×C4×C73C22×C412yes—
217C22×C4×C73C2×D411yescharacteristic
218C22×C4×C73C2×D412yes—
219C22×C4×C73C2411yescharacteristic
220C2×C8×C73—21no—
221C2×C8×C73—21no—
222C2×C8×C73—21no—
223C2×C8×C73—21no—
224C2×C8×C73—21no—
225C2×C8×C73—21no—
226C4⋊C4×C73—24no—
227C4⋊C4×C73—21no—
228C4⋊C4×C73—21no—
229C4⋊C4×C73—21no—
230C4⋊C4×C73C22×C412yes—
231C4⋊C4×C73#4112yes—
232C4⋊C4×C73#4112yes—
233C22⋊C4×C73—24no—
234C23×C73—21no—
235C23×C73—21no—
236C23×C73—21no—
237C23×C73—21no—
238C23×C73—21no—
239C23×C73—21no—
240C23×C73—22no—
241C23×C73—41no—
242C23×C73—41no—
243C23×C73—41no—
244C23×C73—41no—
245C23×C73—41no—
246C23×C73—41no—
247C23×C73C2×C22⋊C412yes—
248C23×C73C22×D411yescharacteristic
249D4×C73—22no—
250D4×C73—22no—
251D4×C73—41no—
252D4×C73—41no—
253D4×C73—84no—
254C2×C4×C73—21no—
255C2×C4×C73—21no—
256C2×C4×C73—22no—
257C2×C4×C73—22no—
258C2×C4×C73—22no—
259C2×C4×C73—22no—
260C2×C4×C73—22no—
261C2×C4×C73—22no—
262C2×C4×C73—22no—
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—84no—
270C2×C4×C73C2×C22⋊C412yes—
271C2×C4×C73C23×C411yescharacteristic
272C2×C4×C73C22×D411yescharacteristic
273C2×C4×C73C2×#4111yescharacteristic
274C2×C4×C73C2×#4111yescharacteristic
275C2×C4×C73C2×#4111yescharacteristic
276C2×C4×C73C2×#4111yescharacteristic
277C2×Dic73—21no—
278C2×Dic73—21no—
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—22no—
288C2×Dic73—22no—
289C2×Dic73—41no—
290C2×Dic73—41no—
291C2×Dic73—41no—
292C2×Dic73—41no—
293C2×Dic73—41no—
294C2×Dic73—41no—
295C2×Dic73—41no—
296C2×Dic73—41no—
297C2×Dic73—84no—
298C2×Dic73C2×C22⋊C412yes—
299C2×Dic73C2×C22⋊C412yes—
300C2×Dic73C2×C22⋊C412yes—
301C2×Dic73C2×C22⋊C412yes—
302Dic146—22no—
303Dic146—22no—
304Dic146—41no—
305Dic146—41no—
306Dic146—84no—
307C8×C73—41no—
308C8×C73—41no—
309#10596831—41no—
310#10596831—41no—
311C22×C73—22no—
312C22×C73—22no—
313C22×C73—22no—
314C22×C73—41no—
315C22×C73—41no—
316C22×C73—41no—
317C22×C73—41no—
318C22×C73—42no—
319C22×C73—42no—
320C22×C73—42no—
321C22×C73—81no—
322C22×C73—81no—
323C22×C73—81no—
324C22×C73—81no—
325C22×C73C22×C22⋊C411yescharacteristic
326C22×C73#52511yescharacteristic
327C22×C73#52511yescharacteristic
328C22×C73#57611yescharacteristic
329C22×C73#57711yescharacteristic
330C22×C73#57711yescharacteristic
331C22×C73#57811yescharacteristic
332C4×C73—22no—
333C4×C73—42no—
334C4×C73—42no—
335C4×C73—42no—
336C4×C73C4×#4111yescharacteristic
337C4×C73C4×#4111yescharacteristic
338C4×C73#53211yescharacteristic
339C4×C73#53211yescharacteristic
340Dic73—22no—
341Dic73—22no—
342Dic73—22no—
343Dic73—22no—
344Dic73—42no—
345Dic73—42no—
346Dic73—42no—
347Dic73—42no—
348#21397—731nomaximal, Sylow
349C2×C73—42no—
350C2×C73—82no—
351C2×C73#229711yescharacteristic
352C2×C73#289711yescharacteristic
353C2×C73#289811yescharacteristic
354C2×C73#311811yescharacteristic
355C2×C73#312111yescharacteristic
356C2×C73#312411yescharacteristic
357C2×C73#312511yescharacteristic
358C2×#542—731no—
359C2×#433—731no—
360#2274—731no—
361#1988—731no—
362#1987—731no—
363#1983—731no—
364#1983—731no—
365#1875—731no—
366#1874D7311yescharacteristic
367#1873—731no—
368#1872—731no—
369#1763—731no—
370#1762—731no—
371C4×#103—731no—
372C4×#102—731no—
373C73#2139711yescharacteristic, complemented, Sylow
374#542—738no—
375#542—1464no—
376C2×C4⋊Q8—731no—
377C2×#126—1461no—
378C2×#124—731no—
379C2×#124—1461no—
380C2×#123—1461no—
381C2×C22⋊Q8—731no—
382C2×C22⋊Q8—1461no—
383C2×#121C2×D7311yescharacteristic
384C2×C4×Q8—731no—
385C2×C4×D4—731no—
386C2×#117—731no—
387C2×#117—731no—
388C22×C4⋊C4C2×D7311yescharacteristic
389#433—1464no—
390C2×C4⋊C8—731no—
391C2×C4⋊C8—731no—
392C2×#103—731no—
393C2×#103—731no—
394C2×#103—731no—
395C2×#103—731no—
396C2×#102—731no—
397C2×#102—731no—
398C2×#102C2×D7311yescharacteristic
399C2×#102C2×D7311yescharacteristic
400C2×C22⋊C8—731no—
401C2×C22⋊C8C2×D7311yescharacteristic
402C2×#97—731no—
403C2×C4×C8—731no—
404C4×C4⋊C4—731no—
405C4×C4⋊C4—731no—
406C4×C4⋊C4—731no—
407C4×C4⋊C4—731no—
408C4×C4⋊C4—1461no—
409C4×C4⋊C4—1461no—
410C4×C22⋊C4—1461no—
411C4×C22⋊C4—1461no—
412#340—731no—
413#340—731no—
414#340—731no—
415#340—731no—
416#340—731no—
417#340—731no—
418#340C2×D7311yescharacteristic
419#340C2×D7311yescharacteristic
420C22×Q8—731no—
421C22×Q8—1461no—
422C22×D4—21no—
423C22×D4C22×D7311yescharacteristic
424C23×C4—21no—
425C23×C4—1461no—
426C23×C4C22×D7311yescharacteristic
427C22×C8—731no—
428C22×C8—731no—
429C22×C8C22×D7311yescharacteristic
430C22×C8C22×D7311yescharacteristic
431C4⋊Q8—734no—
432C4⋊Q8—1462no—
433#126—1468no—
434#124—734no—
435#124—1462no—
436#124—1468no—
437#123—1468no—
438C22⋊Q8—734no—
439C22⋊Q8—1468no—
440C22⋊Q8—1462no—
441#121—22no—
442#121C4×D7314yes—
443C4×Q8—734no—
444C4×Q8—1462no—
445C4×D4—734no—
446C4×D4—1462no—
447#117—734no—
448#117—734no—
449#117—1462no—
450#117—1462no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—731no—
455C2×C4⋊C4—731no—
456C2×C4⋊C4—731no—
457C2×C4⋊C4—731no—
458C2×C4⋊C4—731no—
459C2×C4⋊C4—1461no—
460C2×C4⋊C4—1461no—
461C2×C4⋊C4—1461no—
462C2×C4⋊C4C22×D7311yescharacteristic
463C2×C4⋊C4C22×D7311yescharacteristic
464C2×C4⋊C4C22×D7311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—731no—
467C2×C22⋊C4—731no—
468C2×C22⋊C4—1461no—
469C2×C22⋊C4—1461no—
470C2×C22⋊C4—1461no—
471C2×C22⋊C4—1461no—
472C2×C22⋊C4—1461no—
473C2×C42—731no—
474C2×C42—731no—
475C2×C42—1461no—
476C2×C42—1461no—
477C2×C42—1461no—
478C2×C42—1461no—
479C2×C42—1461no—
480C2×C42—1461no—
481C4⋊C8—1462no—
482C4⋊C8—1462no—
483#103—1462no—
484#103—1462no—
485#103—1462no—
486#103—1462no—
487#102—22no—
488#102—22no—
489#102—1462no—
490#102—1462no—
491C22⋊C8—22no—
492C22⋊C8—1462no—
493#97—1462no—
494C4×C8—1462no—
495#95—1461no—
496#95—1461no—
497#95—1461no—
498#95—1461no—
499C24—21no—
500C24D4×D7311yescharacteristic
501C2×Q8—5841no—
502C2×Q8—5841no—
503C2×Q8—732no—
504C2×Q8—1464no—
505C2×Q8—1461no—
506C2×Q8—1461no—
507C2×Q8—1461no—
508C2×Q8—1461no—
509C2×Q8—1461no—
510C2×D4—24no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—81no—
517C2×D4—81no—
518C2×D4C2×C4×D7312yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—5841no—
530C22×C4—5841no—
531C22×C4—731no—
532C22×C4—731no—
533C22×C4—731no—
534C22×C4—731no—
535C22×C4—1461no—
536C22×C4—1461no—
537C22×C4—1461no—
538C22×C4—1461no—
539C22×C4—1464no—
540C22×C4C2×C4×D7312yes—
541C22×C4D4×D7311yescharacteristic
542C22×C4D4×D7312yes—
543C22×C4C23×D7311yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—1461no—
551C2×C8—1461no—
552C2×C8—1461no—
553C2×C8—1461no—
554C2×C8—1461no—
555C2×C8—1461no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—734no—
561C4⋊C4—734no—
562C4⋊C4—732no—
563C4⋊C4—732no—
564C4⋊C4—732no—
565C4⋊C4—1464no—
566C4⋊C4—1464no—
567C4⋊C4—1464no—
568C4⋊C4—1461no—
569C4⋊C4—1461no—
570C4⋊C4—1461no—
571C4⋊C4C2×C4×D7312yes—
572C4⋊C4#1192402712yes—
573C4⋊C4#1192402712yes—
574C22⋊C4—24no—
575C22⋊C4—734no—
576C22⋊C4—734no—
577C22⋊C4—1464no—
578C22⋊C4—1464no—
579C22⋊C4—1464no—
580C22⋊C4—1464no—
581C22⋊C4—1464no—
582C42—5841no—
583C42—5841no—
584C42—5841no—
585C42—5841no—
586C42—732no—
587C42—732no—
588C42—732no—
589C42—732no—
590C42—1464no—
591C42—1464no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23C22⋊C4×D7312yes—
606C23C2×D4×D7311yescharacteristic
607Q8—2921no—
608Q8—2921no—
609Q8—5844no—
610Q8—1462no—
611Q8—1462no—
612D4—22no—
613D4—22no—
614D4—41no—
615D4—41no—
616D4—84no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—84no—
633C2×C4—2921no—
634C2×C4—2921no—
635C2×C4—2921no—
636C2×C4—2921no—
637C2×C4—2921no—
638C2×C4—2921no—
639C2×C4—2921no—
640C2×C4—2921no—
641C2×C4—5844no—
642C2×C4—732no—
643C2×C4—732no—
644C2×C4—732no—
645C2×C4—732no—
646C2×C4—1462no—
647C2×C4—1462no—
648C2×C4—1462no—
649C2×C4—1462no—
650C2×C4—1461no—
651C2×C4—1461no—
652C2×C4—1461no—
653C2×C4—1461no—
654C2×C4—1461no—
655C2×C4—1461no—
656C2×C4—1461no—
657C2×C4—1461no—
658C2×C4C22⋊C4×D7312yes—
659C2×C4C22×C4×D7311yescharacteristic
660C2×C4C2×D4×D7311yescharacteristic
661C2×C4#41×D7311yescharacteristic
662C2×C4#41×D7311yescharacteristic
663C2×C4C2×#1192402711yescharacteristic
664C2×C4C2×#1192402711yescharacteristic
665C8—41no—
666C8—41no—
667C8—2921no—
668C8—2921no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22C2×C22⋊C4×D7311yescharacteristic
684C22#1798909311yescharacteristic
685C22#1798909511yescharacteristic
686C22#1798938811yescharacteristic
687C22#1798939311yescharacteristic
688C22#1798939711yescharacteristic
689C22#1798940311yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—2922no—
695C4—2922no—
696C4—2922no—
697C4—2922no—
698C4—1462no—
699C4—1462no—
700C4—1462no—
701C4—1462no—
702C4C4×#1192402711yescharacteristic
703C4C4×#1192402711yescharacteristic
704C4#1798913211yescharacteristic
705C4#1798913211yescharacteristic
706C2—42no—
707C2—82no—
708C2#2261241611yescharacteristic
709C2#2261845211yescharacteristic
710C2#2261846211yescharacteristic
711C2#2262010811yescharacteristic
712C2#2262015311yescharacteristic
713C2#2262018811yescharacteristic
714C2#2262021111yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutatorC2×C4×C73C23×C4
FrattiniC22×C4C23×D73
FittingC73×#1874C2
socleC23×C73C22×D4
prime radicalC2×#121×C73C22
cosocleC22×C4×C73C24
hypercenter#1874D73
hypocenterC73#21397
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C2×#17988645C2semidirect
3. #22612288C2semidirect
4. #22610881C2semidirect
5. #22610877C2semidirect
6. #22610862C2semidirect
7. #22610862C2semidirect
9. #22610241C2semidirect
10. #22610238C2semidirect
11. #22609760C2semidirect
12. #22609758C2semidirect
13. #22609750C2semidirect
14. #102×Dic73C2semidirect
17. #17989204C4semidirect
68. #14556590C2×C4semidirect
72. #14556578C2×C4semidirect
78. #14556556C2×C4semidirect
80. D4×Dic73C2×C4semidirect
373. C73#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#179892042
C2×#179886452
#226122882
#226108812
#226108772
#226108622
#226102542
#226102412
#226102382
#226097602
#226097582
#226097502
#102×Dic732
C73×#18742
#2139773