Finite Group Databasebeta

← C2×#22620227 #33954336

Subgroups — C2×#22620227 #33954336

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×#17989197C211yesmaximal, characteristic
2C2×#17989064C211yesmaximal, characteristic
3#22620227C2116yesmaximal, direct product factor
4C2×#17988928C211yesmaximal, characteristic
5C2×#17988897C211yesmaximal, characteristic, complemented
6C2×#17988893C211yesmaximal, characteristic, complemented
7C2×#17988796C211yesmaximal, characteristic, complemented
8C2×#17988796C211yesmaximal, characteristic, complemented
9C2×#17988745C211yesmaximal, characteristic
10C2×#17988742C211yesmaximal, characteristic
11C2×#17988693C211yesmaximal, characteristic, complemented
12C2×#17988691C211yesmaximal, characteristic, complemented
13C2×#17988681C211yesmaximal, characteristic, complemented
14C2×#17988679C211yesmaximal, characteristic, complemented
15C2×#17988645C211yesmaximal, characteristic
16C2×#485×C73C211yesmaximal, characteristic
17C23×Dic146C2211yescharacteristic
18C22×Dic292C2211yescharacteristic
19C22×Dic292C2211yescharacteristic
20C22×#11924018C2211yescharacteristic
21C22×#11924018C2211yescharacteristic
22#17989197—24no—
23#17989197C2218yes—
24C2×#14556589C2211yescharacteristic
25C2×#14556584—21no—
26C2×#14556584—21no—
27C2×#14556582—21no—
28C2×#14556582C2211yescharacteristic
29C2×#14556581—21no—
30C2×#14556570C2211yescharacteristic
31#17989064—24no—
32#17989064C2218yes—
33C2×Q8×Dic73C2211yescharacteristic
34C2×C4×Dic146—21no—
35C2×C4×Dic146—21no—
36C2×#14556556C2211yescharacteristic
37C2×#14556556C2211yescharacteristic
38C2×#14556556C2211yescharacteristic
39C2×#14556556C2211yescharacteristic
40C2×#14556556C2211yescharacteristic
41C2×#14556550C2211yescharacteristic
42C2×#14556547—21no—
43C2×#14556547—21no—
44#17988928C2218yes—
45#17988897C2218yescomplemented
46#17988893C2218yescomplemented
47#17988796C2218yescomplemented
48#17988796C2218yescomplemented
49#17988745C2218yes—
50#17988742C2218yes—
51#17988693C2218yescomplemented
52#17988691C2218yescomplemented
53#17988681C2218yescomplemented
54#17988679C2218yescomplemented
55#17988645C2218yes—
56C2×#14556524C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×#14556520C2211yescharacteristic
59C2×#14556520C2211yescharacteristic
60C2×#14556516C2211yescharacteristic
61C2×#14556516C2211yescharacteristic
62C2×#14556514C2211yescharacteristic
63C2×#14556514C2211yescharacteristic
64C2×#14556514C2211yescharacteristic
65C2×#14556514C2211yescharacteristic
66C2×C22⋊#10596831C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C2×C22⋊Q8×C73C2211yescharacteristic
70C2×#117×C73C2211yescharacteristic
71#485×C73C2218yes—
72C2×#107×C73C2211yescharacteristic
73C2×#106×C73C2211yescharacteristic
74C2×#103×C73C2211yescharacteristic
75C2×#103×C73C2211yescharacteristic
76C2×C22⋊C8×C73C2211yescharacteristic
77C22×Dic146—24no—
78C22×Dic146—24no—
79C22×Dic146—21no—
80C22×Dic146—22no—
81C22×Dic146C2311yescharacteristic
82C22×Dic146C2314yes—
83C22×Dic146C2311yescharacteristic
84C22×Dic146C2311yescharacteristic
85C23×Dic73—21no—
86C2×Dic292—24no—
87C2×Dic292—24no—
88C2×Dic292C2314yes—
89C2×Dic292C2314yes—
90C2×#11924018—24no—
91C2×#11924018—24no—
92C2×#11924018C2314yes—
93C2×#11924018C2314yes—
94C22×#10596831C2311yescharacteristic
95C22×#10596831C2311yescharacteristic
96#14556589—22no—
97#14556589C2314yes—
98#14556584—28no—
99#14556584—28no—
100#14556582—28no—
101#14556582—22no—
102#14556582C2314yes—
103#14556581—28no—
104#14556570—22no—
105#14556570C2314yes—
106Q8×Dic73—22no—
107Q8×Dic73C2314yes—
108C4×Dic146—28no—
109C4×Dic146—28no—
110#14556556—22no—
111#14556556—22no—
112#14556556—22no—
113#14556556—22no—
114#14556556—22no—
115#14556556C2314yes—
116#14556556C2314yes—
117#14556556C2314yes—
118#14556556C2314yes—
119#14556556C2314yes—
120#14556550D414yes—
121#14556550C2314yes—
122#14556547—28no—
123#14556547—28no—
124C2×C4⋊Dic73—21no—
125C2×C4⋊Dic73—21no—
126C2×C4⋊Dic73D411yescharacteristic
127C2×C4⋊Dic73D411yescharacteristic
128C2×C4⋊Dic73C2311yescharacteristic
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007—21no—
132C2×#11924007—21no—
133C2×#11924007—21no—
134C2×#11924007—21no—
135C2×#11924007—21no—
136C2×#11924007—21no—
137C2×#11924007—21no—
138C2×C22⋊Dic73—21no—
139C2×C22⋊Dic73D411yescharacteristic
140C2×C22⋊Dic73D411yescharacteristic
141C2×C4×Dic73—21no—
142C2×C4×Dic73—21no—
143C2×C4×Dic73—21no—
144C2×C4×Dic73—21no—
145C2×C4×Dic73—21no—
146C2×C4×Dic73—21no—
147C2×C4×Dic73C2311yescharacteristic
148C2×C4×Dic73C2311yescharacteristic
149#14556524C2314yes—
150#14556522C2314yes—
151#14556520C2314yes—
152#14556520C2314yes—
153#14556516C2314yes—
154#14556516C2314yes—
155#14556514C2314yes—
156#14556514C2314yes—
157#14556514C2314yes—
158#14556514C2314yes—
159C22⋊#10596831C2314yes—
160#14556501C2314yes—
161C8×Dic73C2314yes—
162C22×Q8×C73C2311yescharacteristic
163C23×C4×C73C2311yescharacteristic
164C22×C8×C73C2311yescharacteristic
165C22×C8×C73C2311yescharacteristic
166C22⋊Q8×C73—22no—
167C22⋊Q8×C73C2314yes—
168#117×C73—22no—
169#117×C73C2314yes—
170C2×C4⋊C4×C73—21no—
171C2×C4⋊C4×C73C2311yescharacteristic
172C2×C4⋊C4×C73C2311yescharacteristic
173C2×C4⋊C4×C73C2311yescharacteristic
174C2×C22⋊C4×C73—21no—
175C2×C22⋊C4×C73—21no—
176C2×C42×C73—21no—
177#107×C73C2314yes—
178#106×C73C2314yes—
179#103×C73C2314yes—
180#103×C73C2314yes—
181C22⋊C8×C73C2314yes—
182C2×Dic146—28no—
183C2×Dic146—216no—
184C2×Dic146—21no—
185C2×Dic146—21no—
186C2×Dic146—24no—
187C2×Dic146—22no—
188C2×Dic146—22no—
189C2×Dic146—28no—
190C2×Dic146—28no—
191C2×Dic146—22no—
192C2×Dic146—22no—
193C2×Dic146—21no—
194C2×Dic146#4114yes—
195C2×Dic146#4114yes—
196C2×Dic146C2412yes—
197C2×Dic146C2412yes—
198C2×Dic146C2412yes—
199C22×Dic73—28no—
200C22×Dic73—21no—
201C22×Dic73—21no—
202C22×Dic73—24no—
203C22×Dic73—21no—
204C22×Dic73—21no—
205C22×Dic73C2×D411yescharacteristic
206C22×Dic73C2×D411yescharacteristic
207C22×Dic73C2×D411yescharacteristic
208C22×Dic73C2×D411yescharacteristic
209Dic292—28no—
210Dic292—28no—
211#11924018—28no—
212#11924018—28no—
213C2×#10596831—22no—
214C2×#10596831—22no—
215C2×#10596831C2412yes—
216C2×#10596831C2412yes—
217C4⋊Dic73—21no—
218C4⋊Dic73—24no—
219C4⋊Dic73—24no—
220C4⋊Dic73C2×D414yes—
221C4⋊Dic73C2×D414yes—
222C4⋊Dic73C2412yes—
223#11924007—24no—
224#11924007—24no—
225#11924007—24no—
226#11924007—24no—
227#11924007—24no—
228#11924007—24no—
229#11924007—24no—
230#11924007—24no—
231#11924007—24no—
232C22⋊Dic73—24no—
233C22⋊Dic73C2×D414yes—
234C22⋊Dic73C2×D414yes—
235C4×Dic73—24no—
236C4×Dic73—24no—
237C4×Dic73—24no—
238C4×Dic73—24no—
239C4×Dic73—24no—
240C4×Dic73—24no—
241C4×Dic73C2×D412yes—
242C4×Dic73C2×D412yes—
243C4×Dic73C2412yes—
244C4×Dic73C2412yes—
245C24×C73C2×D411yescharacteristic
246C2×Q8×C73—21no—
247C2×Q8×C73—22no—
248C2×Q8×C73—22no—
249C2×Q8×C73C2412yes—
250C22×C4×C73—22no—
251C22×C4×C73—22no—
252C22×C4×C73—21no—
253C22×C4×C73—21no—
254C22×C4×C73—21no—
255C22×C4×C73—21no—
256C22×C4×C73C2×D411yescharacteristic
257C22×C4×C73C2×D412yes—
258C22×C4×C73C2412yes—
259C22×C4×C73C2411yescharacteristic
260C2×C8×C73—22no—
261C2×C8×C73—22no—
262C2×C8×C73C2412yes—
263C2×C8×C73C2412yes—
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—
271C22⋊C4×C73—24no—
272C22⋊C4×C73—24no—
273C42×C73—24no—
274C23×C73—22no—
275C23×C73—22no—
276C23×C73—22no—
277C23×C73C22×D412yes—
278C23×C73C22×D411yescharacteristic
279Q8×C73—22no—
280Q8×C73—22no—
281Q8×C73—42no—
282C2×C4×C73—22no—
283C2×C4×C73—24no—
284C2×C4×C73—22no—
285C2×C4×C73—22no—
286C2×C4×C73—22no—
287C2×C4×C73—22no—
288C2×C4×C73—22no—
289C2×C4×C73—22no—
290C2×C4×C73—42no—
291C2×C4×C73—42no—
292C2×C4×C73—42no—
293C2×C4×C73—42no—
294C2×C4×C73C22×D412yes—
295C2×C4×C73C22×D411yescharacteristic
296C2×C4×C73C2×#4112yes—
297C2×C4×C73C2×#4112yes—
298C2×C4×C73C2511yescharacteristic
299C2×Dic73—216no—
300C2×Dic73—24no—
301C2×Dic73—24no—
302C2×Dic73—22no—
303C2×Dic73—22no—
304C2×Dic73—22no—
305C2×Dic73—22no—
306C2×Dic73—22no—
307C2×Dic73—22no—
308C2×Dic73—22no—
309C2×Dic73—22no—
310C2×Dic73—42no—
311C2×Dic73—42no—
312C2×Dic73C22×D412yes—
313C2×Dic73C22×D412yes—
314C2×Dic73C22×D412yes—
315C2×Dic73C22×D412yes—
316Dic146—216no—
317Dic146—24no—
318Dic146—24no—
319Dic146—22no—
320Dic146—22no—
321Dic146—22no—
322Dic146—22no—
323Dic146—42no—
324Dic146C2×#4114yes—
325Dic146C2×#4114yes—
326C8×C73—22no—
327C8×C73—22no—
328#10596831—22no—
329#10596831—22no—
330C22×C73—22no—
331C22×C73—22no—
332C22×C73—22no—
333C22×C73—44no—
334C22×C73#52512yes—
335C22×C73#57812yes—
336C22×C73#57812yes—
337C22×C73C23×D411yescharacteristic
338C4×C73—22no—
339C4×C73—42no—
340C4×C73—42no—
341C4×C73—42no—
342C4×C73—42no—
343C4×C73#52512yes—
344C4×C73C22×#4111yescharacteristic
345C4×C73C22×#4111yescharacteristic
346Dic73—24no—
347Dic73—24no—
348Dic73—22no—
349Dic73—22no—
350Dic73—22no—
351Dic73—22no—
352Dic73—42no—
353Dic73—42no—
354C2×#3127—731nomaximal, Sylow
355C2×C73—42no—
356C2×C73#312714yescomplemented
357C2×C73C2×#52511yescharacteristic
358C2×C73C2×#57811yescharacteristic
359C2×C73C2×#57811yescharacteristic
360C2×#541—731no—
361C2×#519—731no—
362#3127—7316no—
363C2×#485—731no—
364C2×#485D7311yescharacteristic
365C2×#479—731no—
366C2×#479—731no—
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—731no—
388C2×#125—1461no—
389C2×#125—1461no—
390C2×C22⋊Q8—731no—
391C2×C22⋊Q8C2×D7311yescharacteristic
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—731no—
400C2×C4×Q8—1461no—
401C2×C4×Q8—1461no—
402C2×#117—731no—
403C2×#117—1461no—
404C2×#117—1461no—
405C2×#117C2×D7311yescharacteristic
406#485—738no—
407#485C2×D7318yes—
408#479—738no—
409#479—738no—
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⋊C8—731no—
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⋊C8C2×D7311yescharacteristic
435C2×#97—731no—
436C2×C4×C8—731no—
437C22×Q8—731no—
438C22×Q8—731no—
439C22×Q8—731no—
440C22×Q8—734no—
441C22×Q8—1464no—
442C22×Q8—1464no—
443C22×Q8—1461no—
444C22×Q8—1462no—
445C22×Q8C22×D7311yescharacteristic
446C23×C4—1461no—
447C23×C4C22×D7311yescharacteristic
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—734no—
465#125—1462no—
466#125—1468no—
467#125—1468no—
468C22⋊Q8—22no—
469C22⋊Q8—734no—
470C22⋊Q8—1462no—
471C22⋊Q8C22×D7314yes—
472C4×Q8—734no—
473C4×Q8—734no—
474C4×Q8—734no—
475C4×Q8—734no—
476C4×Q8—734no—
477C4×Q8—734no—
478C4×Q8—1468no—
479C4×Q8—1468no—
480C4×Q8—1462no—
481C4×Q8—1462no—
482C4×Q8—1462no—
483C4×Q8—1462no—
484C4×Q8—1462no—
485C4×Q8—1462no—
486#117—22no—
487#117—734no—
488#117—734no—
489#117—1468no—
490#117—1468no—
491#117C22×D7314yes—
492C2×C4⋊C4—21no—
493C2×C4⋊C4—731no—
494C2×C4⋊C4—731no—
495C2×C4⋊C4—731no—
496C2×C4⋊C4—1461no—
497C2×C4⋊C4—1461no—
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—21no—
511C2×C22⋊C4—21no—
512C2×C22⋊C4—731no—
513C2×C22⋊C4—731no—
514C2×C22⋊C4—1461no—
515C2×C42—21no—
516C2×C42—731no—
517C2×C42—731no—
518C2×C42—1461no—
519C2×C42—1461no—
520C2×C42—1461no—
521C2×C42—1461no—
522C2×C42—1461no—
523C2×C42—1461no—
524#107—734no—
525#107C22×D7314yes—
526#106—734no—
527#106C22×D7314yes—
528C4⋊C8—734no—
529C4⋊C8—734no—
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⋊C8C22×D7314yes—
540#97—734no—
541C4×C8—734no—
542C24D4×D7311yescharacteristic
543C2×Q8—21no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—734no—
547C2×Q8—734no—
548C2×Q8—732no—
549C2×Q8—732no—
550C2×Q8—732no—
551C2×Q8—1468no—
552C2×Q8—1468no—
553C2×Q8—1468no—
554C2×Q8—14616no—
555C2×Q8—1462no—
556C2×Q8—1462no—
557C2×Q8—1461no—
558C2×Q8—1464no—
559C2×Q8—1461no—
560C2×Q8—1461no—
561C2×Q8—1462no—
562C2×Q8—1462no—
563C2×Q8C23×D7312yes—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—731no—
571C22×C4—731no—
572C22×C4—731no—
573C22×C4—731no—
574C22×C4—1461no—
575C22×C4—1461no—
576C22×C4—1468no—
577C22×C4—1464no—
578C22×C4—1461no—
579C22×C4—1461no—
580C22×C4D4×D7312yes—
581C22×C4D4×D7311yescharacteristic
582C22×C4C23×D7312yes—
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—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—734no—
601C4⋊C4—734no—
602C4⋊C4—732no—
603C4⋊C4—1464no—
604C4⋊C4—1464no—
605C4⋊C4—1464no—
606C4⋊C4—1464no—
607C4⋊C4—1464no—
608C4⋊C4—1464no—
609C4⋊C4—1464no—
610C4⋊C4—1464no—
611C4⋊C4—1464no—
612C4⋊C4—1464no—
613C4⋊C4—1464no—
614C4⋊C4—1461no—
615C4⋊C4C23×D7312yes—
616C4⋊C4C23×D7312yes—
617C4⋊C4C23×D7312yes—
618C22⋊C4—24no—
619C22⋊C4—24no—
620C22⋊C4—734no—
621C22⋊C4—734no—
622C22⋊C4—1464no—
623C42—24no—
624C42—732no—
625C42—732no—
626C42—732no—
627C42—732no—
628C42—1464no—
629C42—1464no—
630C42—1464no—
631C42—1464no—
632C42—1464no—
633C42—1464no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23C2×D4×D7312yes—
638C23C2×D4×D7311yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—42no—
642Q8—2922no—
643Q8—734no—
644Q8—734no—
645Q8—14616no—
646Q8—1462no—
647Q8—1462no—
648Q8—1462no—
649Q8—1462no—
650Q8—1464no—
651Q8—1464no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—2922no—
665C2×C4—2922no—
666C2×C4—732no—
667C2×C4—732no—
668C2×C4—732no—
669C2×C4—732no—
670C2×C4—1462no—
671C2×C4—1462no—
672C2×C4—14616no—
673C2×C4—1462no—
674C2×C4—1462no—
675C2×C4—1462no—
676C2×C4—1462no—
677C2×C4—1462no—
678C2×C4—1462no—
679C2×C4—1464no—
680C2×C4—1464no—
681C2×C4C2×D4×D7312yes—
682C2×C4C2×D4×D7311yescharacteristic
683C2×C4#41×D7312yes—
684C2×C4#41×D7312yes—
685C2×C4C24×D7311yescharacteristic
686C8—22no—
687C8—22no—
688C8—1462no—
689C8—1462no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—44no—
694C22#1798909512yes—
695C22#1798940112yes—
696C22#1798940312yes—
697C22C22×D4×D7311yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—2922no—
704C4—2922no—
705C4—1462no—
706C4—1462no—
707C4—1462no—
708C4—1462no—
709C4—1464no—
710C4—1464no—
711C4#1798909512yes—
712C4C2×#41×D7311yescharacteristic
713C4C2×#41×D7311yescharacteristic
714C2—42no—
715C2#2262022714yesdirect product factor
716C2C2×#1798909511yescharacteristic
717C2C2×#1798940111yescharacteristic
718C2C2×#1798940311yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#485×C73C2
socleC23×C73C22×D4
prime radicalC24×C73C2×D4
hypercenterC2×#485D73
hypocenterC73C2×#3127
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#485

Complements

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

NH ≅ G/Ntype
3. #22620227C2direct (N × H)
5. C2×#17988897C2semidirect
6. C2×#17988893C2semidirect
7. C2×#17988796C2semidirect
8. C2×#17988796C2semidirect
11. C2×#17988693C2semidirect
12. C2×#17988691C2semidirect
13. C2×#17988681C2semidirect
14. C2×#17988679C2semidirect
45. #17988897C22semidirect
46. #17988893C22semidirect
47. #17988796C22semidirect
48. #17988796C22semidirect
51. #17988693C22semidirect
52. #17988691C22semidirect
53. #17988681C22semidirect
54. #17988679C22semidirect
356. C2×C73#3127semidirect
376. C73C2×#3127semidirect
715. C2#22620227direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179891972
C2×#179890642
#226202272
C2×#179889282
C2×#179888972
C2×#179888932
C2×#179887962
C2×#179887452
C2×#179887422
C2×#179886932
C2×#179886912
C2×#179886812
C2×#179886792
C2×#179886452
C2×#485×C732
C2×#312773