Finite Group Databasebeta

← C2×#22620233 #33954342

Subgroups — C2×#22620233 #33954342

Order 18688.

1994 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989200C211yesmaximal, characteristic
2C2×#17989063C211yesmaximal, characteristic
3#22620233C2116yesmaximal, direct product factor
4C2×#17988931C211yesmaximal, characteristic
5C2×#17988930C211yesmaximal, characteristic
6C2×#17988891C211yesmaximal, characteristic, complemented
7C2×#17988798C211yesmaximal, characteristic, complemented
8C2×#17988797C211yesmaximal, characteristic, complemented
9C2×#17988744C211yesmaximal, characteristic
10C2×#17988744C211yesmaximal, characteristic
11C2×#17988693C211yesmaximal, characteristic, complemented
12C2×#17988691C211yesmaximal, characteristic, complemented
13C2×#17988681C211yesmaximal, characteristic, complemented
14C2×#17988679C211yesmaximal, characteristic, complemented
15C2×#17988647C211yesmaximal, characteristic
16C2×#479×C73C211yesmaximal, characteristic, complemented
17C22×Q8×D73C2211yescharacteristic
18C22×Dic292C2211yescharacteristic
19C22×Dic292C2211yescharacteristic
20C22×#11924018C2211yescharacteristic
21C22×#11924018C2211yescharacteristic
22#17989200—24no—
23#17989200C2218yes—
24C2×#14556591C2211yescharacteristic
25C2×#14556586—21no—
26C2×#14556586—21no—
27C2×#14556582—21no—
28C2×#14556582—21no—
29C2×#14556571C2211yescharacteristic
30C2×#14556571C2211yescharacteristic
31#17989063—24no—
32#17989063C2218yes—
33C2×Q8×Dic73C2211yescharacteristic
34C2×C4×Dic146—21no—
35C2×C4×Dic146C2211yescharacteristic
36C2×#14556556—21no—
37C2×#14556556C2211yescharacteristic
38C2×#14556556C2211yescharacteristic
39C2×#14556556C2211yescharacteristic
40C2×#14556549—21no—
41C2×#14556549C2211yescharacteristic
42C2×#14556548—21no—
43C2×#14556548C2211yescharacteristic
44#17988931C2218yes—
45#17988930C2218yes—
46#17988891C2218yescomplemented
47#17988798C2218yescomplemented
48#17988797C2218yescomplemented
49#17988744C2218yes—
50#17988744C2218yes—
51#17988693C2218yescomplemented
52#17988691C2218yescomplemented
53#17988681C2218yescomplemented
54#17988679C2218yescomplemented
55#17988647C2218yes—
56C2×#14556524C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×C4⋊#10596831C2211yescharacteristic
59C2×#14556516C2211yescharacteristic
60C2×#14556516C2211yescharacteristic
61C2×#14556514C2211yescharacteristic
62C2×#14556514C2211yescharacteristic
63C2×#14556514C2211yescharacteristic
64C2×#14556514C2211yescharacteristic
65C2×#14556503C2211yescharacteristic
66C2×#14556503C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×#125×C73C2211yescharacteristic
70C2×C4×Q8×C73C2211yescharacteristic
71#479×C73C2218yescomplemented
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×C4⋊C8×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×#103×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146C2311yescharacteristic
79C22×Dic146C2311yescharacteristic
80C22×Dic146C2311yescharacteristic
81C2×Q8×D73—24no—
82C2×Q8×D73—22no—
83C2×Q8×D73—24no—
84C2×Q8×D73C2314yes—
85C22×C4×D73—21no—
86C22×C4×D73C2311yescharacteristic
87C2×Dic292—24no—
88C2×Dic292—24no—
89C2×Dic292C2314yes—
90C2×Dic292C2314yes—
91C2×#11924018—24no—
92C2×#11924018—24no—
93C2×#11924018C2314yes—
94C2×#11924018C2314yes—
95C22×#10596831C2311yescharacteristic
96C22×#10596831C2311yescharacteristic
97#14556591—22no—
98#14556591C2314yes—
99#14556586—28no—
100#14556586—28no—
101#14556582—28no—
102#14556582—28no—
103#14556571—22no—
104#14556571—22no—
105#14556571C2314yes—
106#14556571C2314yes—
107Q8×Dic73—22no—
108Q8×Dic73C2314yes—
109C4×Dic146—28no—
110C4×Dic146—22no—
111C4×Dic146C2314yes—
112#14556556—28no—
113#14556556—22no—
114#14556556—22no—
115#14556556—22no—
116#14556556C2314yes—
117#14556556C2314yes—
118#14556556C2314yes—
119#14556549—22no—
120#14556549—28no—
121#14556549C2314yes—
122#14556548—28no—
123#14556548D414yes—
124#14556548C2314yes—
125C2×C4⋊Dic73—21no—
126C2×C4⋊Dic73—21no—
127C2×C4⋊Dic73—21no—
128C2×C4⋊Dic73—21no—
129C2×C4⋊Dic73—21no—
130C2×C4⋊Dic73C2311yescharacteristic
131C2×#11924007—21no—
132C2×#11924007—21no—
133C2×#11924007—21no—
134C2×#11924007—21no—
135C2×#11924007D411yescharacteristic
136C2×#11924007D411yescharacteristic
137C2×#11924005—21no—
138C2×#11924005—21no—
139C2×#11924005—21no—
140C2×#11924005D411yescharacteristic
141C2×#11924005D411yescharacteristic
142C2×C4×Dic73—21no—
143C2×C4×Dic73—21no—
144C2×C4×Dic73—21no—
145C2×C4×Dic73—21no—
146C2×C4×Dic73—21no—
147C2×C4×Dic73—21no—
148C2×C4×Dic73C2311yescharacteristic
149#14556524C2314yes—
150#14556522C2314yes—
151C4⋊#10596831C2314yes—
152#14556516C2314yes—
153#14556516C2314yes—
154#14556514C2314yes—
155#14556514C2314yes—
156#14556514C2314yes—
157#14556514C2314yes—
158#14556503C2314yes—
159#14556503C2314yes—
160#14556501C2314yes—
161C8×Dic73C2314yes—
162C22×Q8×C73C2311yescharacteristic
163C22×C8×C73C2311yescharacteristic
164C22×C8×C73C2311yescharacteristic
165#125×C73—22no—
166#125×C73C2314yes—
167C4×Q8×C73—22no—
168C4×Q8×C73C2314yes—
169C2×C4⋊C4×C73—21no—
170C2×C4⋊C4×C73—21no—
171C2×C4⋊C4×C73—21no—
172C2×C4⋊C4×C73C2311yescharacteristic
173C2×C4⋊C4×C73C2311yescharacteristic
174C2×C4⋊C4×C73C2311yescharacteristic
175C2×C42×C73—21no—
176C2×C42×C73C2311yescharacteristic
177#107×C73C2314yes—
178#106×C73C2314yes—
179C4⋊C8×C73C2314yes—
180#103×C73C2314yes—
181#103×C73C2314yes—
182C23×D73C2×D411yescharacteristic
183C2×Dic146—28no—
184C2×Dic146—21no—
185C2×Dic146—22no—
186C2×Dic146—24no—
187C2×Dic146—22no—
188C2×Dic146—22no—
189C2×Dic146—22no—
190C2×Dic146—22no—
191C2×Dic146—21no—
192C2×Dic146—21no—
193C2×Dic146#4114yes—
194C2×Dic146C2412yes—
195C2×Dic146C2412yes—
196C2×Dic146C2412yes—
197Q8×D73—216no—
198Q8×D73—28no—
199Q8×D73—28no—
200C22×Dic73—21no—
201C22×Dic73—21no—
202C22×Dic73—21no—
203C22×Dic73—21no—
204C22×Dic73C2×D411yescharacteristic
205C22×Dic73C2×D411yescharacteristic
206C22×Dic73C2×D411yescharacteristic
207C2×C4×D73—28no—
208C2×C4×D73—24no—
209C2×C4×D73—22no—
210C2×C4×D73—22no—
211C2×C4×D73C2×D412yes—
212C2×C4×D73C2412yes—
213Dic292—28no—
214Dic292—28no—
215#11924018—28no—
216#11924018—28no—
217C2×#10596831—22no—
218C2×#10596831—22no—
219C2×#10596831C2412yes—
220C2×#10596831C2412yes—
221C4⋊Dic73—24no—
222C4⋊Dic73—24no—
223C4⋊Dic73—21no—
224C4⋊Dic73—24no—
225C4⋊Dic73—24no—
226C4⋊Dic73—24no—
227C4⋊Dic73C2412yes—
228#11924007—24no—
229#11924007—24no—
230#11924007—24no—
231#11924007—24no—
232#11924007C2×D414yes—
233#11924007C2×D414yes—
234#11924005—24no—
235#11924005—24no—
236#11924005—24no—
237#11924005C2×D414yes—
238#11924005C2×D414yes—
239C4×Dic73—24no—
240C4×Dic73—24no—
241C4×Dic73—24no—
242C4×Dic73—24no—
243C4×Dic73—24no—
244C4×Dic73—24no—
245C4×Dic73C2×D412yes—
246C4×Dic73C2412yes—
247C2×Q8×C73—21no—
248C2×Q8×C73—22no—
249C2×Q8×C73#4114yes—
250C2×Q8×C73C2412yes—
251C22×C4×C73—21no—
252C22×C4×C73—21no—
253C22×C4×C73—21no—
254C22×C4×C73—21no—
255C22×C4×C73C2×D411yescharacteristic
256C22×C4×C73C2×D411yescharacteristic
257C22×C4×C73C2411yescharacteristic
258C2×C8×C73—22no—
259C2×C8×C73—22no—
260C2×C8×C73C2412yes—
261C2×C8×C73C2412yes—
262C4⋊C4×C73—24no—
263C4⋊C4×C73—24no—
264C4⋊C4×C73—24no—
265C4⋊C4×C73—21no—
266C4⋊C4×C73—21no—
267C4⋊C4×C73—21no—
268C4⋊C4×C73C2412yes—
269C4⋊C4×C73C2412yes—
270C4⋊C4×C73C2412yes—
271C42×C73—24no—
272C42×C73C2×D412yes—
273C42×C73C2412yes—
274C23×C73C22×D411yescharacteristic
275C22×D73—22no—
276C22×D73—22no—
277C22×D73—22no—
278C22×D73C22×D412yes—
279Q8×C73—24no—
280Q8×C73—22no—
281Q8×C73C2×#4114yes—
282C2×C4×C73—24no—
283C2×C4×C73—22no—
284C2×C4×C73—22no—
285C2×C4×C73—22no—
286C2×C4×C73—22no—
287C2×C4×C73—22no—
288C2×C4×C73—22no—
289C2×C4×C73—42no—
290C2×C4×C73—42no—
291C2×C4×C73—42no—
292C2×C4×C73C22×D412yes—
293C2×C4×C73C22×D412yes—
294C2×C4×C73C22×D411yescharacteristic
295C2×C4×C73C2×#4112yes—
296C2×C4×C73C2×#4112yes—
297C2×C4×C73C2511yescharacteristic
298C2×Dic73—24no—
299C2×Dic73—22no—
300C2×Dic73—22no—
301C2×Dic73—22no—
302C2×Dic73—22no—
303C2×Dic73—22no—
304C2×Dic73—22no—
305C2×Dic73—22no—
306C2×Dic73—42no—
307C2×Dic73—42no—
308C2×Dic73—42no—
309C2×Dic73C22×D412yes—
310C2×Dic73C22×D412yes—
311C2×Dic73C22×D412yes—
312C4×D73—216no—
313C4×D73—24no—
314C4×D73—22no—
315C4×D73—22no—
316Dic146—216no—
317Dic146—24no—
318Dic146—22no—
319Dic146—22no—
320Dic146—22no—
321Dic146—22no—
322Dic146—22no—
323Dic146—42no—
324Dic146—42no—
325Dic146C2×#4114yes—
326C8×C73—22no—
327C8×C73—22no—
328#10596831—22no—
329#10596831—22no—
330C22×C73#52512yes—
331C22×C73#57812yes—
332C22×C73#57812yes—
333C22×C73C23×D411yescharacteristic
334C2×D73—22no—
335C2×D73—22no—
336C2×D73—22no—
337C2×D73—44no—
338C4×C73—24no—
339C4×C73—22no—
340C4×C73—22no—
341C4×C73—42no—
342C4×C73—42no—
343C4×C73—42no—
344C4×C73#52512yes—
345C4×C73C22×#4111yescharacteristic
346C4×C73C22×#4111yescharacteristic
347Dic73—22no—
348Dic73—24no—
349Dic73—22no—
350Dic73—22no—
351Dic73—42no—
352Dic73—42no—
353Dic73—42no—
354C2×#3127—731nomaximal, Sylow
355C2×C73#312714yescomplemented
356C2×C73C2×#52511yescharacteristic
357C2×C73C2×#57811yescharacteristic
358C2×C73C2×#57811yescharacteristic
359D73—42no—
360C2×#541—731no—
361C2×#519—731no—
362#3127—7316no—
363C2×#485—731no—
364C2×#485—731no—
365C2×#479—731no—
366C2×#479D7311yescharacteristic, complemented
367C2×#462—731no—
368C2×#462—731no—
369C2×#451—731no—
370C2×#451—731no—
371C2×#441—731no—
372C2×#441—731no—
373C2×C4×Q16—731no—
374C2×C4×Q16—731no—
375C2×#433—731no—
376C73C2×#312711yescharacteristic, complemented, Sylow
377C23×Q8—731no—
378C22×Q16—731no—
379C22×Q16—731no—
380C22×Q16—731no—
381C22×Q16—731no—
382#541—738no—
383#541—1464no—
384C2×C4⋊Q8—731no—
385C2×#126—1461no—
386C2×#126—1461no—
387C2×#125—1461no—
388C2×#125—1461no—
389C2×#125C2×D7311yescharacteristic
390C2×C22⋊Q8—731no—
391C2×C22⋊Q8—731no—
392#519—738no—
393#519—1464no—
394C2×C4×Q8—731no—
395C2×C4×Q8—731no—
396C2×C4×Q8—731no—
397C2×C4×Q8—731no—
398C2×C4×Q8—731no—
399C2×C4×Q8—1461no—
400C2×C4×Q8—1461no—
401C2×C4×Q8C2×D7311yescharacteristic
402C2×#117—731no—
403C2×#117—731no—
404C2×#117—1461no—
405C2×#117—1461no—
406#485—738no—
407#485—738no—
408#479—738no—
409#479C2×D7318yescomplemented
410#462—738no—
411#462—738no—
412#451—738no—
413#451—738no—
414#441—738no—
415#441—738no—
416C4×Q16—738no—
417C4×Q16—738no—
418#433—738no—
419C2×#107—731no—
420C2×#107C2×D7311yescharacteristic
421C2×#106—731no—
422C2×#106C2×D7311yescharacteristic
423C2×C4⋊C8—731no—
424C2×C4⋊C8C2×D7311yescharacteristic
425C2×#103—731no—
426C2×#103—731no—
427C2×#103—731no—
428C2×#103—731no—
429C2×#103—731no—
430C2×#103—731no—
431C2×#103C2×D7311yescharacteristic
432C2×#103C2×D7311yescharacteristic
433C2×C22⋊C8—731no—
434C2×C22⋊C8—731no—
435C2×#97—731no—
436C2×C4×C8—731no—
437C22×Q8—734no—
438C22×Q8—731no—
439C22×Q8—731no—
440C22×Q8—731no—
441C22×Q8—1461no—
442C22×Q8—1462no—
443C22×Q8—1464no—
444C22×Q8—1464no—
445C22×Q8C22×D7311yescharacteristic
446C23×C4—731no—
447C23×C4—1461no—
448C2×Q16—734no—
449C2×Q16—734no—
450C2×Q16—734no—
451C2×Q16—734no—
452C2×Q16—1464no—
453C2×Q16—1464no—
454C2×Q16—1464no—
455C2×Q16—1464no—
456C22×C8—731no—
457C22×C8—731no—
458C22×C8C22×D7311yescharacteristic
459C22×C8C22×D7311yescharacteristic
460C4⋊Q8—734no—
461C4⋊Q8—1462no—
462#126—1468no—
463#126—1468no—
464#125—22no—
465#125—1468no—
466#125—1468no—
467#125C22×D7314yes—
468C22⋊Q8—734no—
469C22⋊Q8—734no—
470C22⋊Q8—1462no—
471C22⋊Q8—1462no—
472C4×Q8—22no—
473C4×Q8—734no—
474C4×Q8—734no—
475C4×Q8—734no—
476C4×Q8—734no—
477C4×Q8—734no—
478C4×Q8—1468no—
479C4×Q8—1462no—
480C4×Q8—1462no—
481C4×Q8—1462no—
482C4×Q8—1462no—
483C4×Q8—1468no—
484C4×Q8—1462no—
485C4×Q8C22×D7314yes—
486#117—734no—
487#117—734no—
488#117—734no—
489#117—1468no—
490#117—1468no—
491#117—1462no—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—21no—
494C2×C4⋊C4—21no—
495C2×C4⋊C4—731no—
496C2×C4⋊C4—731no—
497C2×C4⋊C4—731no—
498C2×C4⋊C4—1461no—
499C2×C4⋊C4—1461no—
500C2×C4⋊C4—1461no—
501C2×C4⋊C4—1461no—
502C2×C4⋊C4—1461no—
503C2×C4⋊C4—1461no—
504C2×C4⋊C4—1461no—
505C2×C4⋊C4—1461no—
506C2×C4⋊C4—1461no—
507C2×C4⋊C4C22×D7311yescharacteristic
508C2×C4⋊C4C22×D7311yescharacteristic
509C2×C4⋊C4C22×D7311yescharacteristic
510C2×C22⋊C4—731no—
511C2×C22⋊C4—731no—
512C2×C22⋊C4—1461no—
513C2×C22⋊C4—1461no—
514C2×C22⋊C4—1461no—
515C2×C42—21no—
516C2×C42—731no—
517C2×C42—1461no—
518C2×C42—1461no—
519C2×C42—1461no—
520C2×C42—1461no—
521C2×C42—1461no—
522C2×C42—1461no—
523C2×C42C22×D7311yescharacteristic
524#107—734no—
525#107C22×D7314yes—
526#106—734no—
527#106C22×D7314yes—
528C4⋊C8—734no—
529C4⋊C8C22×D7314yes—
530#103—734no—
531#103—734no—
532#103—734no—
533#103—734no—
534#103—734no—
535#103—734no—
536#103C22×D7314yes—
537#103C22×D7314yes—
538C22⋊C8—734no—
539C22⋊C8—734no—
540#97—734no—
541C4×C8—734no—
542C24—731no—
543C2×Q8—21no—
544C2×Q8—22no—
545C2×Q8—734no—
546C2×Q8—732no—
547C2×Q8—732no—
548C2×Q8—732no—
549C2×Q8—1464no—
550C2×Q8—1468no—
551C2×Q8—1462no—
552C2×Q8—1462no—
553C2×Q8—1462no—
554C2×Q8—1462no—
555C2×Q8—1468no—
556C2×Q8—14616no—
557C2×Q8—1468no—
558C2×Q8—1461no—
559C2×Q8—1461no—
560C2×Q8—1461no—
561C2×Q8—1462no—
562C2×Q8#1192402914yes—
563C2×Q8C23×D7312yes—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—731no—
569C22×C4—731no—
570C22×C4—731no—
571C22×C4—732no—
572C22×C4—732no—
573C22×C4—1464no—
574C22×C4—1468no—
575C22×C4—1461no—
576C22×C4—1461no—
577C22×C4—1461no—
578C22×C4—1461no—
579C22×C4—1462no—
580C22×C4—1462no—
581C22×C4D4×D7311yescharacteristic
582C22×C4D4×D7311yescharacteristic
583C22×C4C23×D7311yescharacteristic
584Q16—1468no—
585Q16—1468no—
586Q16—1468no—
587Q16—1468no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—732no—
591C2×C8—732no—
592C2×C8—1462no—
593C2×C8—1462no—
594C2×C8C23×D7312yes—
595C2×C8C23×D7312yes—
596C4⋊C4—24no—
597C4⋊C4—24no—
598C4⋊C4—24no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—734no—
603C4⋊C4—734no—
604C4⋊C4—732no—
605C4⋊C4—1464no—
606C4⋊C4—1464no—
607C4⋊C4—1464no—
608C4⋊C4—1464no—
609C4⋊C4—1464no—
610C4⋊C4—1464no—
611C4⋊C4—1464no—
612C4⋊C4—1461no—
613C4⋊C4—1464no—
614C4⋊C4—1464no—
615C4⋊C4C23×D7312yes—
616C4⋊C4C23×D7312yes—
617C4⋊C4C23×D7312yes—
618C22⋊C4—734no—
619C22⋊C4—734no—
620C22⋊C4—1464no—
621C22⋊C4—1464no—
622C22⋊C4—1464no—
623C42—24no—
624C42—732no—
625C42—732no—
626C42—1464no—
627C42—1464no—
628C42—1464no—
629C42—1464no—
630C42—1464no—
631C42—1464no—
632C42D4×D7312yes—
633C42C23×D7312yes—
634C23—732no—
635C23—1462no—
636C23—1462no—
637C23—1462no—
638C23C2×D4×D7311yescharacteristic
639Q8—22no—
640Q8—24no—
641Q8—2922no—
642Q8—2922no—
643Q8—734no—
644Q8—14616no—
645Q8—1462no—
646Q8—1462no—
647Q8—1462no—
648Q8—1462no—
649Q8—1462no—
650Q8—1464no—
651Q8C2×#1192402914yes—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—2922no—
663C2×C4—2922no—
664C2×C4—2922no—
665C2×C4—732no—
666C2×C4—732no—
667C2×C4—732no—
668C2×C4—14616no—
669C2×C4—1462no—
670C2×C4—1462no—
671C2×C4—1462no—
672C2×C4—1462no—
673C2×C4—1462no—
674C2×C4—1462no—
675C2×C4—1462no—
676C2×C4—1464no—
677C2×C4—1462no—
678C2×C4—1462no—
679C2×C4—1464no—
680C2×C4C2×D4×D7312yes—
681C2×C4C2×D4×D7312yes—
682C2×C4C2×D4×D7311yescharacteristic
683C2×C4#41×D7312yes—
684C2×C4C2×#1192402912yes—
685C2×C4C24×D7311yescharacteristic
686C8—22no—
687C8—22no—
688C8—1462no—
689C8—1462no—
690C22—2924no—
691C22—1462no—
692C22—1462no—
693C22—1462no—
694C22#1798910012yes—
695C22#1798940112yes—
696C22#1798940312yes—
697C22C22×D4×D7311yescharacteristic
698C4—22no—
699C4—22no—
700C4—24no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—2922no—
705C4—2922no—
706C4—2922no—
707C4—1462no—
708C4—1462no—
709C4—1462no—
710C4—1464no—
711C4#1798910012yes—
712C4C2×#41×D7311yescharacteristic
713C4C22×#1192402911yescharacteristic
714C2—2922no—
715C2#2262023314yesdirect product factor
716C2C2×#1798910011yescharacteristic
717C2C2×#1798940111yescharacteristic
718C2C2×#1798940311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#479×C73C2
socleC23×C73C22×D4
prime radicalC23×D73C2×D4
hypercenterC2×#479D73
hypocenterC73C2×#3127
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. #22620233C2direct (N × H)
6. C2×#17988891C2semidirect
7. C2×#17988798C2semidirect
8. C2×#17988797C2semidirect
11. C2×#17988693C2semidirect
12. C2×#17988691C2semidirect
13. C2×#17988681C2semidirect
14. C2×#17988679C2semidirect
16. C2×#479×C73C2semidirect
46. #17988891C22semidirect
47. #17988798C22semidirect
48. #17988797C22semidirect
51. #17988693C22semidirect
52. #17988691C22semidirect
53. #17988681C22semidirect
54. #17988679C22semidirect
71. #479×C73C22semidirect
355. C2×C73#3127semidirect
366. C2×#479D73semidirect
376. C73C2×#3127semidirect
409. #479C2×D73semidirect
715. C2#22620233direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179892002
C2×#179890632
#226202332
C2×#179889312
C2×#179889302
C2×#179888912
C2×#179887982
C2×#179887972
C2×#179887442
C2×#179886932
C2×#179886912
C2×#179886812
C2×#179886792
C2×#179886472
C2×#479×C732
C2×#312773