Finite Group Databasebeta

← C2×#19142782 #25302816

Subgroups — C2×#19142782 #25302816

Order 11008.

2022 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142782C2116yesmaximal, direct product factor
2C2×#14582841C211yesmaximal, characteristic, complemented
3C2×#14582841C211yesmaximal, characteristic, complemented
4C2×#14582840C211yesmaximal, characteristic, complemented
5C2×#14582839C211yesmaximal, characteristic, complemented
6C2×#14582838C211yesmaximal, characteristic, complemented
7C2×#14582828C211yesmaximal, characteristic
8C2×#14582826C211yesmaximal, characteristic
9C2×#14582825C211yesmaximal, characteristic
10C2×#14582820C211yesmaximal, characteristic, complemented
11C2×#14582819C211yesmaximal, characteristic, complemented
12C2×#14582812C211yesmaximal, characteristic
13C2×#14582773C211yesmaximal, characteristic
14C2×#14582773C211yesmaximal, characteristic
15C2×#14582770C211yesmaximal, characteristic
16C2×C43×#400C211yesmaximal, characteristic, complemented
17C23×Dic86C2211yescharacteristic
18C23×C4×D43C2211yescharacteristic
19C22×C4⋊Dic43C2211yescharacteristic
20C22×C4⋊Dic43C2211yescharacteristic
21C22×C4⋊Dic43C2211yescharacteristic
22C22×Dic43⋊C4C2211yescharacteristic
23C22×Dic43⋊C4C2211yescharacteristic
24C22×Dic43⋊C4C2211yescharacteristic
25C22×Dic43⋊C4C2211yescharacteristic
26C22×(C2×D43)⋊C4C2211yescharacteristic
27C22×(C2×D43)⋊C4C2211yescharacteristic
28C22×(C2×D43)⋊C4C2211yescharacteristic
29C22×(C2×D43)⋊C4C2211yescharacteristic
30C22×(C2×D43)⋊C4C2211yescharacteristic
31C22×(C2×D43)⋊C4C2211yescharacteristic
32#14582841C2218yescomplemented
33#14582841C2218yescomplemented
34#14582840C2218yescomplemented
35#14582839C2218yescomplemented
36#14582838C2218yescomplemented
37#14582828C2218yes—
38#14582826C2218yes—
39#14582825C2218yes—
40#14582820C2218yescomplemented
41#14582819C2218yescomplemented
42#14582812C2218yes—
43#14582773C2218yes—
44#14582773C2218yes—
45#14582770C2218yes—
46C2×C43⋊#95C2211yescharacteristic
47C2×C43⋊#95C2211yescharacteristic
48C2×C43⋊#95C2211yescharacteristic
49C2×C43⋊#95C2211yescharacteristic
50C2×C43⋊#95C2211yescharacteristic
51C2×C43⋊#95C2211yescharacteristic
52C2×C43⋊#95C2211yescharacteristic
53C2×C43⋊#95C2211yescharacteristic
54C2×C43⋊#95C2211yescharacteristic
55C2×C43⋊#95C2211yescharacteristic
56C2×C43⋊#95C2211yescharacteristic
57C2×C43⋊#95C2211yescharacteristic
58C2×C43⋊#95C2211yescharacteristic
59C22×C4⋊C4×C43C2211yescharacteristic
60C22×C4⋊C4×C43C2211yescharacteristic
61C43×#400C2218yescomplemented
62C2×#95×C43C2211yescharacteristic
63C2×#95×C43C2211yescharacteristic
64C2×#95×C43C2211yescharacteristic
65C2×#95×C43C2211yescharacteristic
66C2×#95×C43C2211yescharacteristic
67C24×D43C2311yescharacteristic
68C22×Dic86—42no—
69C22×Dic86—42no—
70C22×Dic86—42no—
71C22×Dic86C2314yes—
72C23×Dic43C2311yescharacteristic
73C23×Dic43C2311yescharacteristic
74C23×Dic43C2311yescharacteristic
75C23×Dic43C2311yescharacteristic
76C23×Dic43C2311yescharacteristic
77C23×Dic43C2311yescharacteristic
78C23×Dic43C2311yescharacteristic
79C22×C4×D43—42no—
80C22×C4×D43—42no—
81C22×C4×D43—42no—
82C22×C4×D43C2314yes—
83C2×C4⋊Dic43—42no—
84C2×C4⋊Dic43—42no—
85C2×C4⋊Dic43—42no—
86C2×C4⋊Dic43C2314yes—
87C2×C4⋊Dic43C2314yes—
88C2×C4⋊Dic43C2314yes—
89C2×Dic43⋊C4—42no—
90C2×Dic43⋊C4—42no—
91C2×Dic43⋊C4—42no—
92C2×Dic43⋊C4—42no—
93C2×Dic43⋊C4C2314yes—
94C2×Dic43⋊C4C2314yes—
95C2×Dic43⋊C4C2314yes—
96C2×Dic43⋊C4C2314yes—
97C2×(C2×D43)⋊C4—24no—
98C2×(C2×D43)⋊C4—24no—
99C2×(C2×D43)⋊C4—24no—
100C2×(C2×D43)⋊C4—42no—
101C2×(C2×D43)⋊C4—42no—
102C2×(C2×D43)⋊C4—42no—
103C2×(C2×D43)⋊C4C2314yes—
104C2×(C2×D43)⋊C4C2314yes—
105C2×(C2×D43)⋊C4C2314yes—
106C2×(C2×D43)⋊C4C2314yes—
107C2×(C2×D43)⋊C4C2314yes—
108C2×(C2×D43)⋊C4C2314yes—
109C43⋊#95C2314yes—
110C43⋊#95C2314yes—
111C43⋊#95C2314yes—
112C43⋊#95C2314yes—
113C43⋊#95C2314yes—
114C43⋊#95C2314yes—
115C43⋊#95C2314yes—
116C43⋊#95C2314yes—
117C43⋊#95C2314yes—
118C43⋊#95C2314yes—
119C43⋊#95C2314yes—
120C43⋊#95C2314yes—
121C43⋊#95C2314yes—
122C23×C4×C43C2311yescharacteristic
123C23×C4×C43C2311yescharacteristic
124C23×C4×C43C2311yescharacteristic
125C23×C4×C43C2311yescharacteristic
126C23×C4×C43C2311yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C23×C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43—42no—
130C2×C4⋊C4×C43—42no—
131C2×C4⋊C4×C43C2314yes—
132C2×C4⋊C4×C43C2314yes—
133#95×C43C2314yes—
134#95×C43C2314yes—
135#95×C43C2314yes—
136#95×C43C2314yes—
137#95×C43C2314yes—
138C24×C43C2411yescharacteristic
139C23×D43—22no—
140C23×D43—22no—
141C23×D43—22no—
142C23×D43—22no—
143C23×D43—22no—
144C23×D43—22no—
145C23×D43#4114yes—
146C23×D43C2412yes—
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—22no—
163C22×C4×C43—22no—
164C22×C4×C43—22no—
165C22×C4×C43—22no—
166C22×C4×C43—22no—
167C22×C4×C43—22no—
168C22×C4×C43C2412yes—
169C22×C4×C43C2412yes—
170C22×C4×C43C2412yes—
171C22×C4×C43C2412yes—
172C22×C4×C43C2412yes—
173C22×C4×C43C2412yes—
174C22×C4×C43C2412yes—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—22no—
181C22×Dic43—22no—
182C22×Dic43—22no—
183C22×Dic43—22no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—22no—
189C22×Dic43—22no—
190C22×Dic43—22no—
191C22×Dic43—22no—
192C22×Dic43—22no—
193C22×Dic43—22no—
194C22×Dic43—22no—
195C22×Dic43—22no—
196C22×Dic43C2412yes—
197C22×Dic43C2412yes—
198C22×Dic43C2412yes—
199C22×Dic43C2412yes—
200C22×Dic43C2412yes—
201C22×Dic43C2412yes—
202C22×Dic43C2412yes—
203C2×C4×D43—44no—
204C2×C4×D43—44no—
205C2×C4×D43—44no—
206C2×C4×D43—416no—
207C2×Dic86—44no—
208C2×Dic86—44no—
209C2×Dic86—44no—
210C2×Dic86—416no—
211C4⋊C4×C43—44no—
212C4⋊C4×C43—44no—
213(C2×D43)⋊C4—28no—
214(C2×D43)⋊C4—28no—
215(C2×D43)⋊C4—28no—
216(C2×D43)⋊C4—44no—
217(C2×D43)⋊C4—44no—
218(C2×D43)⋊C4—44no—
219C4⋊Dic43—44no—
220C4⋊Dic43—44no—
221C4⋊Dic43—44no—
222Dic43⋊C4—44no—
223Dic43⋊C4—44no—
224Dic43⋊C4—44no—
225Dic43⋊C4—44no—
226C23×C43C2×#4112yes—
227C23×C43H(5,𝔽2)12yes—
228C23×C43H(5,𝔽2)12yes—
229C23×C43H(5,𝔽2)12yes—
230C23×C432−1+412yes—
231C23×C432−1+412yes—
232C23×C432−1+412yes—
233C23×C43C2511yescharacteristic
234C22×D43—28no—
235C22×D43—28no—
236C22×D43—28no—
237C22×D43—22no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—22no—
242C22×D43—22no—
243C22×D43—44no—
244C22×D43—44no—
245C22×D43—44no—
246C22×D43—44no—
247C22×D43C2×#4114yes—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
269C2×C4×C43—44no—
270C2×C4×C43—44no—
271C2×C4×C43—44no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—44no—
275C2×C4×C43—44no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—22no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—22no—
297C2×Dic43—44no—
298C2×Dic43—44no—
299C2×Dic43—44no—
300C2×Dic43—44no—
301C2×Dic43—44no—
302C2×Dic43—44no—
303C2×Dic43—44no—
304C4×D43—416no—
305Dic86—416no—
306C2×#2835—431nomaximal, Sylow
307C22×C43#53914yes—
308C22×C43#53914yes—
309C22×C43#53914yes—
310C22×C43H(3,𝔽4)14yes—
311C22×C43#56314yes—
312C22×C43#56314yes—
313C22×C43#56314yes—
314C22×C43C22×#4111yescharacteristic
315C22×C43C2×H(5,𝔽2)11yescharacteristic
316C22×C43C2×H(5,𝔽2)11yescharacteristic
317C22×C43C2×H(5,𝔽2)11yescharacteristic
318C22×C43C2×2−1+411yescharacteristic
319C22×C43C2×2−1+411yescharacteristic
320C22×C43C2×2−1+411yescharacteristic
321C2×D43—24no—
322C2×D43—24no—
323C2×D43—24no—
324C2×D43—416no—
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C4×C43—42no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—42no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—42no—
336Dic43—42no—
337Dic43—42no—
338Dic43—42no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343#2835—4316no—
344C2×#400—431no—
345C2×#400—431no—
346C2×#400—431no—
347C2×#400—431no—
348C2×#400—431no—
349C2×#400D4311yescharacteristic, complemented
350C2×#397—431no—
351C2×#397—431no—
352C2×#397—431no—
353C2×#395—431no—
354C2×#395—431no—
355C2×#393—431no—
356C2×#385—431no—
357C2×#385—431no—
358C2×#385—431no—
359C2×C43#283518yescomplemented
360C2×C43C2×#53911yescharacteristic
361C2×C43C2×#53911yescharacteristic
362C2×C43C2×#53911yescharacteristic
363C2×C43C2×H(3,𝔽4)11yescharacteristic
364C2×C43C2×#56311yescharacteristic
365C2×C43C2×#56311yescharacteristic
366C2×C43C2×#56311yescharacteristic
367D43—44no—
368C23×Q8—431no—
369C24×C4—431no—
370C22×C4⋊C4—431no—
371C22×C4⋊C4—431no—
372C22×C4⋊C4—431no—
373C22×C4⋊C4—431no—
374C22×C4⋊C4—431no—
375C22×C4⋊C4—431no—
376C22×C4⋊C4—431no—
377C22×C4⋊C4C2×D4311yescharacteristic
378C22×C4⋊C4C2×D4311yescharacteristic
379C22×C22⋊C4—431no—
380C22×C22⋊C4—431no—
381C22×C22⋊C4—431no—
382C22×C22⋊C4—431no—
383C22×C22⋊C4—431no—
384C22×C22⋊C4—431no—
385#400—438no—
386#400—438no—
387#400—438no—
388#400—438no—
389#400—438no—
390#400C2×D4318yescomplemented
391#397—438no—
392#397—438no—
393#397—438no—
394#395—438no—
395#395—438no—
396#393—438no—
397#385—438no—
398#385—438no—
399#385—438no—
400C2×#95—431no—
401C2×#95—431no—
402C2×#95—431no—
403C2×#95—431no—
404C2×#95—431no—
405C2×#95—431no—
406C2×#95—431no—
407C2×#95—431no—
408C2×#95—431no—
409C2×#95—431no—
410C2×#95—431no—
411C2×#95—431no—
412C2×#95—431no—
413C2×#95C2×D4311yescharacteristic
414C2×#95C2×D4311yescharacteristic
415C2×#95C2×D4311yescharacteristic
416C2×#95C2×D4311yescharacteristic
417C2×#95C2×D4311yescharacteristic
418C43C2×#283511yescharacteristic, complemented, Sylow
419C25—431no—
420C22×Q8—434no—
421C22×Q8—1722no—
422C22×Q8—1722no—
423C22×Q8—1722no—
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—431no—
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—431no—
430C23×C4—431no—
431C23×C4—434no—
432C23×C4—1722no—
433C23×C4—1722no—
434C23×C4—1722no—
435C23×C4C22×D4311yescharacteristic
436C23×C4C22×D4311yescharacteristic
437C23×C4C22×D4311yescharacteristic
438C23×C4C22×D4311yescharacteristic
439C23×C4C22×D4311yescharacteristic
440C23×C4C22×D4311yescharacteristic
441C23×C4C22×D4311yescharacteristic
442C2×C4⋊C4—42no—
443C2×C4⋊C4—42no—
444C2×C4⋊C4—434no—
445C2×C4⋊C4—434no—
446C2×C4⋊C4—434no—
447C2×C4⋊C4—434no—
448C2×C4⋊C4—434no—
449C2×C4⋊C4—434no—
450C2×C4⋊C4—434no—
451C2×C4⋊C4—1722no—
452C2×C4⋊C4—1722no—
453C2×C4⋊C4—1722no—
454C2×C4⋊C4—1722no—
455C2×C4⋊C4—1722no—
456C2×C4⋊C4—1722no—
457C2×C4⋊C4—1722no—
458C2×C4⋊C4C22×D4314yes—
459C2×C4⋊C4C22×D4314yes—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—434no—
462C2×C22⋊C4—434no—
463C2×C22⋊C4—434no—
464C2×C22⋊C4—434no—
465C2×C22⋊C4—434no—
466C2×C22⋊C4—864no—
467C2×C22⋊C4—864no—
468C2×C22⋊C4—864no—
469C2×C22⋊C4—1722no—
470C2×C22⋊C4—1722no—
471C2×C22⋊C4—1722no—
472#95—434no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95—434no—
478#95—434no—
479#95—434no—
480#95—434no—
481#95—434no—
482#95—434no—
483#95—434no—
484#95—434no—
485#95C22×D4314yes—
486#95C22×D4314yes—
487#95C22×D4314yes—
488#95C22×D4314yes—
489#95C22×D4314yes—
490C24—434no—
491C24—432no—
492C24—862no—
493C24—862no—
494C24—862no—
495C24—862no—
496C24—862no—
497C24—862no—
498C24C23×D4311yescharacteristic
499C2×Q8—1724no—
500C2×Q8—1724no—
501C2×Q8—1724no—
502C2×Q8—17216no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—432no—
525C22×C4—432no—
526C22×C4—432no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—432no—
530C22×C4—432no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—862no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—1724no—
553C22×C4—1724no—
554C22×C4—1724no—
555C22×C4—17216no—
556C22×C4C23×D4312yes—
557C22×C4C23×D4312yes—
558C22×C4C23×D4312yes—
559C22×C4C23×D4312yes—
560C22×C4C23×D4312yes—
561C22×C4C23×D4312yes—
562C22×C4C23×D4312yes—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—1724no—
566C4⋊C4—1724no—
567C4⋊C4—1724no—
568C4⋊C4—1724no—
569C4⋊C4—1724no—
570C4⋊C4—1724no—
571C4⋊C4—1724no—
572C22⋊C4—868no—
573C22⋊C4—868no—
574C22⋊C4—868no—
575C22⋊C4—1724no—
576C22⋊C4—1724no—
577C22⋊C4—1724no—
578C23—434no—
579C23—862no—
580C23—862no—
581C23—862no—
582C23—862no—
583C23—862no—
584C23—862no—
585C23—868no—
586C23—868no—
587C23—868no—
588C23—1724no—
589C23—1724no—
590C23—1724no—
591C23—1724no—
592C23#41×D4312yes—
593C23#1306337012yes—
594C23#1306337112yes—
595C23#1306337112yes—
596C23#1306337212yes—
597C23#1306337212yes—
598C23#1306337312yes—
599C23C24×D4311yescharacteristic
600Q8—17216no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—17216no—
651C2×C4—1724no—
652C2×C4—1724no—
653C2×C4—1724no—
654C2×C4—1724no—
655C2×C4—1724no—
656C2×C4—1724no—
657C2×C4—1724no—
658C22—864no—
659C22—864no—
660C22—864no—
661C22—17216no—
662C22—1722no—
663C22—1722no—
664C22—1722no—
665C22—1722no—
666C22#1458349014yes—
667C22#1458349214yes—
668C22#1458349714yes—
669C22#1458364114yes—
670C22#1458365014yes—
671C22#1458365114yes—
672C22#1458365314yes—
673C22C2×#41×D4311yescharacteristic
674C22C2×#1306337011yescharacteristic
675C22C2×#1306337111yescharacteristic
676C22C2×#1306337111yescharacteristic
677C22C2×#1306337211yescharacteristic
678C22C2×#1306337211yescharacteristic
679C22C2×#1306337311yescharacteristic
680C4—42no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—1722no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4—1722no—
692C4—1722no—
693C4—1722no—
694C2—1724no—
695C2#1914278218yesdirect product factor
696C2C2×#1458349011yescharacteristic
697C2C2×#1458349211yescharacteristic
698C2C2×#1458349711yescharacteristic
699C2C2×#1458364111yescharacteristic
700C2C2×#1458365011yescharacteristic
701C2C2×#1458365111yescharacteristic
702C2C2×#1458365311yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#400C2
socleC24×C43C24
prime radicalC24×D43C23
hypercenterC2×#400D43
hypocenterC43C2×#2835
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#400

Complements

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

NH ≅ G/Ntype
1. #19142782C2direct (N × H)
2. C2×#14582841C2semidirect
3. C2×#14582841C2semidirect
4. C2×#14582840C2semidirect
5. C2×#14582839C2semidirect
6. C2×#14582838C2semidirect
10. C2×#14582820C2semidirect
11. C2×#14582819C2semidirect
16. C2×C43×#400C2semidirect
32. #14582841C22semidirect
33. #14582841C22semidirect
34. #14582840C22semidirect
35. #14582839C22semidirect
36. #14582838C22semidirect
40. #14582820C22semidirect
41. #14582819C22semidirect
61. C43×#400C22semidirect
349. C2×#400D43semidirect
359. C2×C43#2835semidirect
390. #400C2×D43semidirect
418. C43C2×#2835semidirect
695. C2#19142782direct (N × H)

Maximal subgroups

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

subgroupindex
#191427822
C2×#145828412
C2×#145828402
C2×#145828392
C2×#145828382
C2×#145828282
C2×#145828262
C2×#145828252
C2×#145828202
C2×#145828192
C2×#145828122
C2×#145827732
C2×#145827702
C2×C43×#4002
C2×#283543