Finite Group Databasebeta

← #25111924

Subgroups — #25111924

Order 11008.

1668 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583539C211yesmaximal, characteristic
2C2×#14582872C211yesmaximal, characteristic, complemented
3C22×#13063239C211yesmaximal, characteristic, complemented
4#19137444C211yesmaximal, characteristic, complemented
5#19135431C211yesmaximal, characteristic, complemented
6#19135430C211yesmaximal, characteristic, complemented
7#19135053C211yesmaximal, characteristic, complemented
8#19135051C211yesmaximal, characteristic, complemented
9#19135048C211yesmaximal, characteristic, complemented
10#19135046C211yesmaximal, characteristic, complemented
11#19134580C211yesmaximal, characteristic, complemented
12#19134512C211yesmaximal, characteristic, complemented
13#19134509C211yesmaximal, characteristic, complemented
14C4×#13063239C211yesmaximal, characteristic, complemented
15C43×#2342C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C23×C22⋊D43C2211yescharacteristic
18#14583539—21no—
19#14583539—21no—
20#14583539—21no—
21#14583539—21no—
22#14583539—21no—
23#14583539—21no—
24#14583539—21no—
25#14583539—21no—
26C2×#13063311C411yescharacteristic, complemented
27C2×#13063308C2211yescharacteristic
28C2×#13063307C411yescharacteristic, complemented
29C2×#13063302C411yescharacteristic, complemented
30C2×#13063299C2211yescharacteristic
31C2×#13063298C411yescharacteristic, complemented
32C2×#13063298C411yescharacteristic, complemented
33C2×#13063295C411yescharacteristic, complemented
34C2×#13063294C2211yescharacteristic
35C2×C4×C22⋊D43C2211yescharacteristic
36C2×(C22⋊D43)⋊C4C411yescharacteristic, complemented
37C2×#13063284C2211yescharacteristic, complemented
38C22×C22⋊Dic43C2211yescharacteristic
39C2×C22⋊C4×D43C411yescharacteristic, complemented
40#14582872—24no—
41C2×#13063239—24no—
42C2×#13063239C2211yescharacteristic
43C2×#13063239C2211yescharacteristic
44C2×#13063239C2211yescharacteristic
45C2×#13063239C2211yescharacteristic
46C2×#13063239C2211yescharacteristic
47C2×#13063239C2211yescharacteristic
48C2×#13063239C2211yescharacteristic
49C2×#13063239C2211yescharacteristic
50C2×#13063239C2211yescharacteristic, complemented
51C2×#13063239C2211yescharacteristic, complemented
52C2×#13063239C2211yescharacteristic, complemented
53C2×#13063239C2211yescharacteristic, complemented
54#14582792—21no—
55#14582792—21no—
56#14582774—21no—
57#14582762C2211yescharacteristic, complemented
58#14582759C2211yescharacteristic, complemented
59#14582755C2211yescharacteristic
60C22⋊C4×Dic43—21no—
61C4×C22⋊Dic43C2211yescharacteristic, complemented
62#14582665C2211yescharacteristic, complemented
63#14582665C2211yescharacteristic, complemented
64#14582665C2211yescharacteristic, complemented
65#14582665C2211yescharacteristic, complemented
66C2×#117×C43C2211yescharacteristic, complemented
67C22×C22⋊C4×C43C2211yescharacteristic
68C22×C22⋊C4×C43C2211yescharacteristic
69C43×#388—21no—
70C43×#388—21no—
71C43×#385—21no—
72C43×#381C2211yescharacteristic, complemented
73C43×#380C2211yescharacteristic, complemented
74C43×#379C2211yescharacteristic
75C4×C22⋊C4×C43—21no—
76C4×C22⋊C4×C43C2211yescharacteristic, complemented
77C24×D43C2×C411yescharacteristic
78C2×#10621898—21no—
79C2×#10621898—21no—
80C2×#10621898—21no—
81C2×#10621898—21no—
82C2×#10621898—22no—
83C2×#10621898—22no—
84C2×#10621898—41no—
85C2×#10621898—41no—
86C22×Dic86C2×C411yescharacteristic, complemented
87C22×D172C2×C411yescharacteristic, complemented
88C22×D172C2×C411yescharacteristic, complemented
89C22×C22⋊D43—21no—
90C22×C22⋊D43—21no—
91C22×C22⋊D43—21no—
92C22×C22⋊D43—21no—
93C22×C22⋊D43—22no—
94C22×C22⋊D43—22no—
95C22×C22⋊D43—41no—
96C22×C22⋊D43—41no—
97C22×C22⋊D43C2×C411yescharacteristic
98C22×C22⋊D43C2×C411yescharacteristic
99C22×C22⋊D43C2×C411yescharacteristic
100C22×C22⋊D43C2×C411yescharacteristic
101C22×C22⋊D43C2311yescharacteristic
102C22×C22⋊D43C2311yescharacteristic
103C22×C22⋊D43C2311yescharacteristic
104C23×Dic43—21no—
105C23×Dic43C2×C411yescharacteristic
106C22×C4×D43C2×C411yescharacteristic, complemented
107C22×C4×D43C2×C411yescharacteristic, complemented
108C22×C4×D43C2×C411yescharacteristic, complemented
109#13063311—21no—
110#13063311—21no—
111#13063311—21no—
112#13063311—21no—
113#13063308—21no—
114#13063308—21no—
115#13063308—21no—
116#13063308—21no—
117#13063307—21no—
118#13063307—21no—
119#13063307—21no—
120#13063307—21no—
121#13063302—21no—
122#13063302—21no—
123#13063302—21no—
124#13063302—21no—
125#13063299—21no—
126#13063299—21no—
127#13063299—21no—
128#13063299—21no—
129#13063298—21no—
130#13063298—21no—
131#13063298—21no—
132#13063298—21no—
133#13063298—21no—
134#13063298—21no—
135#13063298—21no—
136#13063298—21no—
137#13063295—21no—
138#13063295—21no—
139#13063295—21no—
140#13063295—21no—
141#13063294—21no—
142#13063294—21no—
143#13063294—21no—
144#13063294—21no—
145C4×C22⋊D43—21no—
146C4×C22⋊D43—21no—
147C4×C22⋊D43—21no—
148C4×C22⋊D43—21no—
149(C22⋊D43)⋊C4—21no—
150(C22⋊D43)⋊C4—21no—
151(C22⋊D43)⋊C4—21no—
152(C22⋊D43)⋊C4—21no—
153#13063284—22no—
154#13063284—41no—
155C2×C4⋊Dic43—21no—
156C2×C4⋊Dic43—21no—
157C2×C4⋊Dic43C2×C411yescharacteristic, complemented
158C2×Dic43⋊C4C2×C411yescharacteristic, complemented
159C2×Dic43⋊C4C2×C411yescharacteristic, complemented
160C2×Dic43⋊C4C2×C411yescharacteristic, complemented
161C2×C22⋊Dic43—22no—
162C2×C22⋊Dic43—21no—
163C2×C22⋊Dic43—21no—
164C2×C22⋊Dic43—21no—
165C2×C22⋊Dic43—41no—
166C2×C22⋊Dic43C2×C411yescharacteristic
167C2×C22⋊Dic43C2×C411yescharacteristic
168C2×C22⋊Dic43C2311yescharacteristic
169C2×C22⋊Dic43C2311yescharacteristic
170C2×C22⋊Dic43C2311yescharacteristic
171C2×C22⋊Dic43C2311yescharacteristic
172C2×C22⋊Dic43C2311yescharacteristic
173C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
174C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
175C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
176C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
177C2×(C2×D43)⋊C4C2×C411yescharacteristic, complemented
178C22⋊C4×D43—21no—
179C22⋊C4×D43—21no—
180C22⋊C4×D43—21no—
181C22⋊C4×D43—21no—
182C2×C4×Dic43—21no—
183C2×C4×Dic43—21no—
184C2×C4×Dic43C2×C411yescharacteristic, complemented
185#13063239—22no—
186#13063239—22no—
187#13063239—22no—
188#13063239—22no—
189#13063239—22no—
190#13063239—22no—
191#13063239—22no—
192#13063239—41no—
193#13063239—41no—
194#13063239—41no—
195#13063239—41no—
196#13063239D414yescomplemented
197C43⋊#95—21no—
198C43⋊#95—21no—
199C43⋊#95—21no—
200C43⋊#95—21no—
201C25×C43C2311yescharacteristic
202C23×C4×C43—21no—
203C23×C4×C43C2311yescharacteristic
204C23×C4×C43C2311yescharacteristic
205#117×C43—22no—
206#117×C43—41no—
207C2×C4⋊C4×C43—21no—
208C2×C4⋊C4×C43—21no—
209C2×C22⋊C4×C43—22no—
210C2×C22⋊C4×C43—21no—
211C2×C22⋊C4×C43—21no—
212C2×C22⋊C4×C43—21no—
213C2×C22⋊C4×C43—41no—
214C2×C22⋊C4×C43C2×C411yescharacteristic
215C2×C22⋊C4×C43C2×C411yescharacteristic
216C2×C22⋊C4×C43C2×C411yescharacteristic
217C2×C22⋊C4×C43C2×C411yescharacteristic
218C2×C22⋊C4×C43D411yescharacteristic
219C2×C22⋊C4×C43D411yescharacteristic
220C2×C22⋊C4×C43D411yescharacteristic
221C2×C22⋊C4×C43D411yescharacteristic
222C2×C22⋊C4×C43D411yescharacteristic
223C2×C22⋊C4×C43D411yescharacteristic
224C2×C22⋊C4×C43D411yescharacteristic
225C2×C22⋊C4×C43D411yescharacteristic
226C2×C22⋊C4×C43C2311yescharacteristic
227C2×C22⋊C4×C43C2311yescharacteristic
228C2×C22⋊C4×C43C2311yescharacteristic
229C2×C22⋊C4×C43C2311yescharacteristic
230C2×C42×C43—21no—
231C2×C42×C43—21no—
232#95×C43—21no—
233#95×C43—21no—
234#95×C43—21no—
235#95×C43—21no—
236C24×C43—21no—
237C24×C43—21no—
238C24×C43—21no—
239C24×C43—21no—
240C24×C43—42no—
241C24×C43—81no—
242C24×C43C22×C411yescharacteristic
243C24×C43C22×C411yescharacteristic
244C24×C43C2×D411yescharacteristic
245C24×C43C2×D411yescharacteristic
246C24×C43C2×D411yescharacteristic
247C24×C43C2×D411yescharacteristic
248C24×C43C2411yescharacteristic
249C23×D43—21no—
250C23×D43—21no—
251C23×D43—22no—
252C23×D43—41no—
253C23×D43—42no—
254C23×D43—81no—
255C23×D43C22×C411yescharacteristic
256C23×D43C22×C411yescharacteristic
257C23×D43C22×C411yescharacteristic
258C22×C4×C43—21no—
259C22×C4×C43—21no—
260C22×C4×C43—21no—
261C22×C4×C43—21no—
262C22×C4×C43—21no—
263C22×C4×C43—21no—
264C22×C4×C43—21no—
265C22×C4×C43—21no—
266C22×C4×C43—42no—
267C22×C4×C43—42no—
268C22×C4×C43—81no—
269C22×C4×C43—81no—
270C22×C4×C43C22×C411yescharacteristic
271C22×C4×C43C22×C411yescharacteristic
272C22×C4×C43C22×C411yescharacteristic
273C22×C4×C43C22×C411yescharacteristic
274C22×C4×C43C2×D411yescharacteristic
275C22×C4×C43C2×D411yescharacteristic
276C22×C4×C43C2×D411yescharacteristic
277C22×C4×C43C2×D411yescharacteristic
278C22×C4×C43C2×D411yescharacteristic
279C22×C4×C43C2×D411yescharacteristic
280C22×C4×C43C2×D411yescharacteristic
281C22×C4×C43C2×D411yescharacteristic
282C2×C22⋊D43—22no—
283C2×C22⋊D43—21no—
284C2×C22⋊D43—21no—
285C2×C22⋊D43—21no—
286C2×C22⋊D43—21no—
287C2×C22⋊D43—21no—
288C2×C22⋊D43—21no—
289C2×C22⋊D43—21no—
290C2×C22⋊D43—21no—
291C2×C22⋊D43—21no—
292C2×C22⋊D43—21no—
293C2×C22⋊D43—21no—
294C2×C22⋊D43—21no—
295C2×C22⋊D43—21no—
296C2×C22⋊D43—21no—
297C2×C22⋊D43—21no—
298C2×C22⋊D43—21no—
299C2×C22⋊D43—21no—
300C2×C22⋊D43—21no—
301C2×C22⋊D43—21no—
302C2×C22⋊D43—21no—
303C2×C22⋊D43—21no—
304C2×C22⋊D43—21no—
305C2×C22⋊D43—21no—
306C2×C22⋊D43—21no—
307C2×C22⋊D43—22no—
308C2×C22⋊D43—41no—
309C2×C22⋊D43—41no—
310C2×C22⋊D43—42no—
311C2×C22⋊D43—42no—
312C2×C22⋊D43—42no—
313C2×C22⋊D43—42no—
314C2×C22⋊D43—42no—
315C2×C22⋊D43—42no—
316C2×C22⋊D43—42no—
317C2×C22⋊D43—42no—
318C2×C22⋊D43—42no—
319C2×C22⋊D43—81no—
320C2×C22⋊D43C2×D412yes—
321C2×C22⋊D43#4112yes—
322C22×Dic43—22no—
323C22×Dic43—21no—
324C22×Dic43—21no—
325C22×Dic43—21no—
326C22×Dic43—21no—
327C22×Dic43—21no—
328C22×Dic43—21no—
329C22×Dic43—41no—
330C22×Dic43—42no—
331C22×Dic43—42no—
332C22×Dic43—81no—
333C22×Dic43C22×C411yescharacteristic
334C22×Dic43C22×C411yescharacteristic
335C22×Dic43C22×C411yescharacteristic
336C22×Dic43C22×C411yescharacteristic
337C22×Dic43C22×C411yescharacteristic
338#10621898—42no—
339#10621898—42no—
340#10621898—42no—
341#10621898—42no—
342#10621898—42no—
343#10621898—42no—
344#10621898—42no—
345#10621898—42no—
346C2×D172—21no—
347C2×D172—21no—
348C2×D172—21no—
349C2×D172—21no—
350C2×D172—22no—
351C2×D172—41no—
352C2×D172—81no—
353C2×C4×D43—21no—
354C2×C4×D43—21no—
355C2×C4×D43—21no—
356C2×C4×D43—21no—
357C2×C4×D43—22no—
358C2×C4×D43—21no—
359C2×C4×D43—21no—
360C2×C4×D43—22no—
361C2×C4×D43—41no—
362C2×C4×D43—41no—
363C2×C4×D43—81no—
364C2×Dic86—21no—
365C2×Dic86—21no—
366C2×Dic86—22no—
367C2×Dic86—41no—
368C4⋊C4×C43—42no—
369C4⋊C4×C43—81no—
370C22⋊C4×C43—21no—
371C22⋊C4×C43—21no—
372C22⋊C4×C43—21no—
373C22⋊C4×C43—21no—
374C22⋊C4×C43—21no—
375C22⋊C4×C43—21no—
376C22⋊C4×C43—21no—
377C22⋊C4×C43—42no—
378C22⋊C4×C43—42no—
379C22⋊C4×C43—81no—
380C22⋊C4×C43C22⋊C411yescharacteristic
381C22⋊C4×C43C22⋊C411yescharacteristic
382C22⋊C4×C43C22⋊C411yescharacteristic
383C22⋊C4×C43C22⋊C411yescharacteristic
384C22⋊C4×C43C22⋊C411yescharacteristic
385C22⋊C4×C43C22⋊C411yescharacteristic
386C22⋊C4×C43C22⋊C411yescharacteristic
387C22⋊C4×C43C22⋊C411yescharacteristic
388C22⋊C4×C43C22⋊C411yescharacteristic
389C22⋊C4×C43C22⋊C411yescharacteristic
390C22⋊C4×C43C22⋊C411yescharacteristic
391C22⋊C4×C43C22⋊C411yescharacteristic
392C22⋊C4×C43C22⋊C411yescharacteristic
393C22⋊C4×C43C22⋊C411yescharacteristic
394C22⋊C4×C43C22⋊C411yescharacteristic
395C22⋊C4×C43C22⋊C411yescharacteristic
396C22⋊C4×C43C2×D412yes—
397C42×C43—42no—
398C42×C43—81no—
399C22⋊Dic43—21no—
400C22⋊Dic43—21no—
401C22⋊Dic43—21no—
402C22⋊Dic43—21no—
403C22⋊Dic43—21no—
404C22⋊Dic43—21no—
405C22⋊Dic43—21no—
406C22⋊Dic43—21no—
407C22⋊Dic43—21no—
408C22⋊Dic43—21no—
409C22⋊Dic43—21no—
410C22⋊Dic43—21no—
411C22⋊Dic43—21no—
412C22⋊Dic43—42no—
413C22⋊Dic43—42no—
414C22⋊Dic43—81no—
415C22⋊Dic43C2×D412yes—
416(C2×D43)⋊C4—21no—
417(C2×D43)⋊C4—21no—
418(C2×D43)⋊C4—21no—
419(C2×D43)⋊C4—21no—
420(C2×D43)⋊C4—21no—
421(C2×D43)⋊C4—21no—
422(C2×D43)⋊C4—21no—
423(C2×D43)⋊C4—21no—
424(C2×D43)⋊C4—21no—
425(C2×D43)⋊C4—21no—
426C4⋊Dic43—21no—
427C4⋊Dic43—21no—
428C4⋊Dic43—42no—
429C4⋊Dic43—81no—
430Dic43⋊C4—21no—
431Dic43⋊C4—21no—
432Dic43⋊C4—21no—
433Dic43⋊C4—21no—
434Dic43⋊C4—21no—
435Dic43⋊C4—21no—
436C4×Dic43—21no—
437C4×Dic43—21no—
438C4×Dic43—42no—
439C4×Dic43—81no—
440C23×C43—21no—
441C23×C43—21no—
442C23×C43—21no—
443C23×C43—21no—
444C23×C43—21no—
445C23×C43—21no—
446C23×C43—22no—
447C23×C43—22no—
448C23×C43—22no—
449C23×C43—21no—
450C23×C43—21no—
451C23×C43—21no—
452C23×C43—21no—
453C23×C43—21no—
454C23×C43—21no—
455C23×C43—41no—
456C23×C43—41no—
457C23×C43—41no—
458C23×C43—41no—
459C23×C43—41no—
460C23×C43—41no—
461C23×C43—41no—
462C23×C43—41no—
463C23×C43—41no—
464C23×C43—41no—
465C23×C43—41no—
466C23×C43—82no—
467C23×C43—82no—
468C23×C43—82no—
469C23×C43—82no—
470C23×C43C2×C22⋊C411yescharacteristic
471C23×C43C2×C22⋊C411yescharacteristic
472C23×C43C2×C22⋊C411yescharacteristic
473C23×C43C2×C22⋊C411yescharacteristic
474C23×C43C23×C411yescharacteristic
475C23×C43C22×D411yescharacteristic
476C23×C43C22×D411yescharacteristic
477C23×C43C22×D411yescharacteristic
478C23×C43C2×#4111yescharacteristic
479C23×C43H(5,𝔽2)11yescharacteristic
480C23×C43H(5,𝔽2)11yescharacteristic
481C22×D43—21no—
482C22×D43—21no—
483C22×D43—21no—
484C22×D43—21no—
485C22×D43—21no—
486C22×D43—21no—
487C22×D43—21no—
488C22×D43—21no—
489C22×D43—42no—
490C22×D43—42no—
491C22×D43—41no—
492C22×D43—41no—
493C22×D43—42no—
494C22×D43—42no—
495C22×D43—41no—
496C22×D43—41no—
497C22×D43—41no—
498C22×D43—41no—
499C22×D43—81no—
500C22×D43—81no—
501C22×D43—84no—
502C22×D43—84no—
503C22×D43C4×D412yes—
504C2×C4×C43—21no—
505C2×C4×C43—21no—
506C2×C4×C43—21no—
507C2×C4×C43—21no—
508C2×C4×C43—21no—
509C2×C4×C43—21no—
510C2×C4×C43—21no—
511C2×C4×C43—21no—
512C2×C4×C43—21no—
513C2×C4×C43—21no—
514C2×C4×C43—21no—
515C2×C4×C43—21no—
516C2×C4×C43—22no—
517C2×C4×C43—41no—
518C2×C4×C43—41no—
519C2×C4×C43—41no—
520C2×C4×C43—41no—
521C2×C4×C43—41no—
522C2×C4×C43—41no—
523C2×C4×C43—41no—
524C2×C4×C43—41no—
525C2×C4×C43—41no—
526C2×C4×C43—41no—
527C2×C4×C43—41no—
528C2×C4×C43—41no—
529C2×C4×C43—41no—
530C2×C4×C43—41no—
531C2×C4×C43—41no—
532C2×C4×C43—41no—
533C2×C4×C43—41no—
534C2×C4×C43—84no—
535C2×C4×C43C2×C22⋊C411yescharacteristic
536C2×C4×C43C2×C22⋊C411yescharacteristic
537C2×C4×C43C2×C22⋊C411yescharacteristic
538C2×C4×C43C2×C22⋊C411yescharacteristic
539C2×C4×C43C2×C22⋊C411yescharacteristic
540C2×C4×C43C2×C22⋊C411yescharacteristic
541C2×C4×C43C2×C22⋊C411yescharacteristic
542C2×C4×C43C2×C22⋊C411yescharacteristic
543C22⋊D43—22no—
544C22⋊D43—22no—
545C22⋊D43—22no—
546C22⋊D43—22no—
547C22⋊D43—42no—
548C22⋊D43—42no—
549C22⋊D43—42no—
550C22⋊D43—42no—
551C22⋊D43—42no—
552C22⋊D43—41no—
553C22⋊D43—41no—
554C22⋊D43—41no—
555C22⋊D43—41no—
556C22⋊D43—41no—
557C22⋊D43—41no—
558C22⋊D43—41no—
559C22⋊D43—41no—
560C22⋊D43—42no—
561C22⋊D43—81no—
562C22⋊D43—81no—
563C2×Dic43—21no—
564C2×Dic43—21no—
565C2×Dic43—21no—
566C2×Dic43—21no—
567C2×Dic43—21no—
568C2×Dic43—21no—
569C2×Dic43—21no—
570C2×Dic43—21no—
571C2×Dic43—21no—
572C2×Dic43—21no—
573C2×Dic43—22no—
574C2×Dic43—42no—
575C2×Dic43—42no—
576C2×Dic43—41no—
577C2×Dic43—41no—
578C2×Dic43—41no—
579C2×Dic43—41no—
580C2×Dic43—41no—
581C2×Dic43—41no—
582C2×Dic43—41no—
583C2×Dic43—41no—
584C2×Dic43—41no—
585C2×Dic43—41no—
586C2×Dic43—41no—
587C2×Dic43—41no—
588C2×Dic43—41no—
589C2×Dic43—84no—
590C2×Dic43C4×D412yes—
591D172—42no—
592D172—42no—
593D172—81no—
594D172—81no—
595C4×D43—42no—
596C4×D43—42no—
597C4×D43—42no—
598C4×D43—42no—
599C4×D43—81no—
600C4×D43—81no—
601Dic86—42no—
602Dic86—42no—
603#22405—431nomaximal, Sylow
604C22×C43—21no—
605C22×C43—21no—
606C22×C43—21no—
607C22×C43—21no—
608C22×C43—21no—
609C22×C43—21no—
610C22×C43—21no—
611C22×C43—21no—
612C22×C43—21no—
613C22×C43—21no—
614C22×C43—21no—
615C22×C43—21no—
616C22×C43—21no—
617C22×C43—21no—
618C22×C43—21no—
619C22×C43—21no—
620C22×C43—21no—
621C22×C43—41no—
622C22×C43—41no—
623C22×C43—41no—
624C22×C43—41no—
625C22×C43—42no—
626C22×C43—42no—
627C22×C43—42no—
628C22×C43—42no—
629C22×C43—42no—
630C22×C43—42no—
631C22×C43—81no—
632C22×C43—81no—
633C22×C43—81no—
634C22×C43—81no—
635C22×C43—81no—
636C22×C43—81no—
637C22×C43#41012yescomplemented
638C22×C43C22×C22⋊C411yescharacteristic
639C22×C43C2×C4×D411yescharacteristic
640C22×C43#51811yescharacteristic
641C22×C43D4211yescharacteristic
642C22×C43D4211yescharacteristic
643C22×C43#54611yescharacteristic
644C22×C43#54611yescharacteristic
645C2×D43—22no—
646C2×D43—42no—
647C2×D43—41no—
648C2×D43—41no—
649C2×D43—42no—
650C2×D43—41no—
651C2×D43—41no—
652C2×D43—41no—
653C2×D43—41no—
654C2×D43—41no—
655C2×D43—41no—
656C2×D43—84no—
657C2×D43—84no—
658C2×D43—81no—
659C2×D43—81no—
660C2×D43—81no—
661C2×D43—81no—
662C4×C43—21no—
663C4×C43—21no—
664C4×C43—21no—
665C4×C43—21no—
666C4×C43—21no—
667C4×C43—21no—
668C4×C43—21no—
669C4×C43—21no—
670C4×C43—42no—
671C4×C43—81no—
672C4×C43—81no—
673C4×C43—81no—
674Dic43—22no—
675Dic43—42no—
676Dic43—41no—
677Dic43—41no—
678Dic43—41no—
679Dic43—41no—
680Dic43—81no—
681Dic43—81no—
682Dic43—81no—
683C2×#546—431no—
684C2×#410—431no—
685C22×#99—431no—
686#2342—431no—
687#2342D4311yescharacteristic, complemented
688#1964—431no—
689#1964—431no—
690#1899—431no—
691#1899—431no—
692#1898—431no—
693#1898—431no—
694#1799—431no—
695#1782—431no—
696#1781—431no—
697C4×#99—431no—
698C2×C43—21no—
699C2×C43—21no—
700C2×C43—21no—
701C2×C43—21no—
702C2×C43—21no—
703C2×C43—21no—
704C2×C43—22no—
705C2×C43—41no—
706C2×C43—41no—
707C2×C43—41no—
708C2×C43D4×C22⋊C411yescharacteristic
709C2×C43C2×#41011yescharacteristic
710C2×C43#288311yescharacteristic
711D43—42no—
712D43—81no—
713D43—81no—
714C22×#41—431no—
715C23×D4—431no—
716#546—861no—
717#546—861no—
718#546—861no—
719#546—861no—
720#546—861no—
721#546—861no—
722#546—861no—
723#546—861no—
724C2×#124—431no—
725C2×#123—431no—
726C2×#123—431no—
727C2×C22⋊Q8—431no—
728C2×#121—431no—
729C2×#121—431no—
730C2×#121—431no—
731C2×#120—431no—
732C2×#120—431no—
733C2×C4×D4—431no—
734C2×C4×D4—431no—
735C2×#117—431no—
736C2×#117C2×D4311yescharacteristic, complemented
737C22×C22⋊C4—431no—
738C22×C22⋊C4—431no—
739C22×C22⋊C4C2×D4311yescharacteristic
740C22×C22⋊C4C2×D4311yescharacteristic
741#410—864no—
742C2×#99—431no—
743C2×#99—431no—
744C2×#99—431no—
745C2×#99—431no—
746C2×#99—431no—
747C2×#99—431no—
748C2×#99—431no—
749C2×#99—431no—
750C2×#99—431no—
751C2×#99—431no—
752C2×#99—431no—
753C2×#99—431no—
754C2×#99—864no—
755#388—21no—
756#388—21no—
757#388—861no—
758#388—861no—
759#385—21no—
760#385—861no—
761#381—431no—
762#381C2×D4311yescharacteristic, complemented
763#380—431no—
764#380C2×D4311yescharacteristic, complemented
765#379—431no—
766#379C2×D4311yescharacteristic
767C4×C22⋊C4—21no—
768C4×C22⋊C4—431no—
769C4×C22⋊C4—861no—
770C4×C22⋊C4C2×D4311yescharacteristic, complemented
771#342—431no—
772#342—431no—
773#342—431no—
774#342—431no—
775C43#2240511yescharacteristic, complemented, Sylow
776C25—431no—
777C25C22×D4311yescharacteristic
778C2×#41—862no—
779C2×#41—862no—
780C2×#41—861no—
781C2×#41—861no—
782C2×#41—861no—
783C2×#41—861no—
784C2×#41—1721no—
785C2×#41—1721no—
786C22×Q8—431no—
787C22×D4—431no—
788C22×D4—431no—
789C22×D4—431no—
790C22×D4—431no—
791C22×D4—431no—
792C22×D4—431no—
793C22×D4—431no—
794C22×D4—431no—
795C22×D4—431no—
796C22×D4—862no—
797C22×D4—862no—
798C22×D4—861no—
799C22×D4—861no—
800C22×D4—861no—
801C22×D4—861no—
802C22×D4—1721no—
803C22×D4—1721no—
804C23×C4—21no—
805C23×C4—431no—
806C23×C4—431no—
807C23×C4—431no—
808C23×C4—431no—
809C23×C4—861no—
810C23×C4C22×D4311yescharacteristic
811C23×C4C22×D4311yescharacteristic
812#124—861no—
813#124—861no—
814#124—861no—
815#124—861no—
816#123—861no—
817#123—861no—
818#123—861no—
819#123—861no—
820#123—861no—
821#123—861no—
822#123—861no—
823#123—861no—
824C22⋊Q8—861no—
825C22⋊Q8—861no—
826C22⋊Q8—861no—
827C22⋊Q8—861no—
828#121—861no—
829#121—861no—
830#121—861no—
831#121—861no—
832#121—861no—
833#121—861no—
834#121—861no—
835#121—861no—
836#121—861no—
837#121—861no—
838#121—861no—
839#121—861no—
840#120—861no—
841#120—861no—
842#120—861no—
843#120—861no—
844#120—861no—
845#120—861no—
846#120—861no—
847#120—861no—
848C4×D4—861no—
849C4×D4—861no—
850C4×D4—861no—
851C4×D4—861no—
852C4×D4—861no—
853C4×D4—861no—
854C4×D4—861no—
855C4×D4—861no—
856#117—22no—
857#117—41no—
858#117—862no—
859#117—1721no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—431no—
863C2×C4⋊C4—431no—
864C2×C4⋊C4—431no—
865C2×C4⋊C4—431no—
866C2×C4⋊C4—861no—
867C2×C4⋊C4—861no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—431no—
874C2×C22⋊C4—431no—
875C2×C22⋊C4—431no—
876C2×C22⋊C4—431no—
877C2×C22⋊C4—431no—
878C2×C22⋊C4—431no—
879C2×C22⋊C4—431no—
880C2×C22⋊C4—431no—
881C2×C22⋊C4—431no—
882C2×C22⋊C4—431no—
883C2×C22⋊C4—431no—
884C2×C22⋊C4—431no—
885C2×C22⋊C4—862no—
886C2×C22⋊C4—861no—
887C2×C22⋊C4—861no—
888C2×C22⋊C4—861no—
889C2×C22⋊C4—861no—
890C2×C22⋊C4—861no—
891C2×C22⋊C4—861no—
892C2×C22⋊C4—861no—
893C2×C22⋊C4—1721no—
894C2×C22⋊C4C4×D4311yescharacteristic
895C2×C22⋊C4C4×D4311yescharacteristic
896C2×C22⋊C4C4×D4311yescharacteristic
897C2×C22⋊C4C4×D4311yescharacteristic
898C2×C22⋊C4D17211yescharacteristic
899C2×C22⋊C4D17211yescharacteristic
900C2×C22⋊C4D17211yescharacteristic
901C2×C22⋊C4D17211yescharacteristic
902C2×C22⋊C4C22⋊D4311yescharacteristic
903C2×C22⋊C4C22⋊D4311yescharacteristic
904C2×C22⋊C4C22⋊D4311yescharacteristic
905C2×C22⋊C4C22⋊D4311yescharacteristic
906C2×C22⋊C4C22×D4311yescharacteristic
907C2×C22⋊C4C22×D4311yescharacteristic
908C2×C22⋊C4C22×D4311yescharacteristic
909C2×C22⋊C4C22×D4311yescharacteristic
910C2×C42—21no—
911C2×C42—21no—
912C2×C42—431no—
913C2×C42—861no—
914C2×C42—861no—
915#99—434no—
916#99—862no—
917#99—862no—
918#99—862no—
919#99—862no—
920#99—862no—
921#99—862no—
922#99—862no—
923#99—1721no—
924#99—1721no—
925#99—1721no—
926#99—1721no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—861no—
932#95—861no—
933#95—861no—
934#95—861no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—42no—
940C24—81no—
941C24—431no—
942C24—431no—
943C24—431no—
944C24—862no—
945C24—861no—
946C24—861no—
947C24—3441no—
948C24—1721no—
949C24—1722no—
950C24C2×C4×D4311yescharacteristic
951C24C2×C4×D4311yescharacteristic
952C24C2×D17211yescharacteristic
953C24C2×D17211yescharacteristic
954C24C2×C22⋊D4311yescharacteristic
955C24C2×C22⋊D4311yescharacteristic
956C24C23×D4311yescharacteristic
957#41—1722no—
958#41—1722no—
959#41—1722no—
960#41—1722no—
961#41—1722no—
962#41—1722no—
963#41—1722no—
964#41—1722no—
965C2×Q8—862no—
966C2×Q8—861no—
967C2×Q8—861no—
968C2×Q8—1721no—
969C2×D4—432no—
970C2×D4—432no—
971C2×D4—862no—
972C2×D4—862no—
973C2×D4—861no—
974C2×D4—861no—
975C2×D4—861no—
976C2×D4—861no—
977C2×D4—861no—
978C2×D4—861no—
979C2×D4—862no—
980C2×D4—861no—
981C2×D4—861no—
982C2×D4—861no—
983C2×D4—861no—
984C2×D4—861no—
985C2×D4—861no—
986C2×D4—861no—
987C2×D4—861no—
988C2×D4—861no—
989C2×D4—861no—
990C2×D4—861no—
991C2×D4—861no—
992C2×D4—861no—
993C2×D4—861no—
994C2×D4—861no—
995C2×D4—861no—
996C2×D4—861no—
997C2×D4—861no—
998C2×D4—861no—
999C2×D4—861no—
1000C2×D4—861no—
1001C2×D4—861no—
1002C2×D4—3441no—
1003C2×D4—3441no—
1004C2×D4—1721no—
1005C2×D4—1721no—
1006C2×D4—1721no—
1007C2×D4—1722no—
1008C2×D4—1722no—
1009C2×D4—1722no—
1010C2×D4—1722no—
1011C2×D4—1722no—
1012C2×D4—1722no—
1013C2×D4—1722no—
1014C2×D4—1722no—
1015C2×D4—1722no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—431no—
1029C22×C4—431no—
1030C22×C4—431no—
1031C22×C4—431no—
1032C22×C4—431no—
1033C22×C4—862no—
1034C22×C4—862no—
1035C22×C4—862no—
1036C22×C4—861no—
1037C22×C4—861no—
1038C22×C4—861no—
1039C22×C4—861no—
1040C22×C4—861no—
1041C22×C4—861no—
1042C22×C4—861no—
1043C22×C4—861no—
1044C22×C4—861no—
1045C22×C4—861no—
1046C22×C4—861no—
1047C22×C4—861no—
1048C22×C4—3441no—
1049C22×C4—3441no—
1050C22×C4—1721no—
1051C22×C4—1721no—
1052C22×C4—1721no—
1053C22×C4—1722no—
1054C22×C4—1722no—
1055C22×C4C2×C4×D4311yescharacteristic
1056C22×C4C2×C4×D4311yescharacteristic
1057C22×C4C2×C4×D4311yescharacteristic
1058C22×C4C2×C4×D4311yescharacteristic
1059C22×C4C2×D17211yescharacteristic
1060C22×C4C2×D17211yescharacteristic
1061C22×C4C2×D17211yescharacteristic
1062C22×C4C2×D17211yescharacteristic
1063C22×C4C2×C22⋊D4311yescharacteristic
1064C22×C4C2×C22⋊D4311yescharacteristic
1065C22×C4C2×C22⋊D4311yescharacteristic
1066C22×C4C2×C22⋊D4311yescharacteristic
1067C4⋊C4—42no—
1068C4⋊C4—81no—
1069C4⋊C4—861no—
1070C4⋊C4—861no—
1071C4⋊C4—861no—
1072C4⋊C4—861no—
1073C4⋊C4—861no—
1074C4⋊C4—861no—
1075C4⋊C4—861no—
1076C4⋊C4—861no—
1077C4⋊C4—3441no—
1078C4⋊C4—1722no—
1079C22⋊C4—21no—
1080C22⋊C4—21no—
1081C22⋊C4—21no—
1082C22⋊C4—21no—
1083C22⋊C4—21no—
1084C22⋊C4—21no—
1085C22⋊C4—21no—
1086C22⋊C4—42no—
1087C22⋊C4—42no—
1088C22⋊C4—81no—
1089C22⋊C4—432no—
1090C22⋊C4—861no—
1091C22⋊C4—861no—
1092C22⋊C4—861no—
1093C22⋊C4—861no—
1094C22⋊C4—861no—
1095C22⋊C4—861no—
1096C22⋊C4—861no—
1097C22⋊C4—861no—
1098C22⋊C4—861no—
1099C22⋊C4—861no—
1100C22⋊C4—861no—
1101C22⋊C4—861no—
1102C22⋊C4—861no—
1103C22⋊C4—861no—
1104C22⋊C4—861no—
1105C22⋊C4—861no—
1106C22⋊C4—861no—
1107C22⋊C4—861no—
1108C22⋊C4—861no—
1109C22⋊C4—861no—
1110C22⋊C4—861no—
1111C22⋊C4—861no—
1112C22⋊C4—861no—
1113C22⋊C4—3441no—
1114C22⋊C4—1722no—
1115C22⋊C4—1722no—
1116C22⋊C4(C2×D43)⋊C411yescharacteristic
1117C22⋊C4(C2×D43)⋊C411yescharacteristic
1118C22⋊C4(C2×D43)⋊C411yescharacteristic
1119C22⋊C4(C2×D43)⋊C411yescharacteristic
1120C22⋊C4(C2×D43)⋊C411yescharacteristic
1121C22⋊C4(C2×D43)⋊C411yescharacteristic
1122C22⋊C4(C2×D43)⋊C411yescharacteristic
1123C22⋊C4(C2×D43)⋊C411yescharacteristic
1124C22⋊C4(C2×D43)⋊C411yescharacteristic
1125C22⋊C4(C2×D43)⋊C411yescharacteristic
1126C22⋊C4(C2×D43)⋊C411yescharacteristic
1127C22⋊C4(C2×D43)⋊C411yescharacteristic
1128C22⋊C4(C2×D43)⋊C411yescharacteristic
1129C22⋊C4(C2×D43)⋊C411yescharacteristic
1130C22⋊C4(C2×D43)⋊C411yescharacteristic
1131C22⋊C4(C2×D43)⋊C411yescharacteristic
1132C22⋊C4D4×D4312yes—
1133C42—42no—
1134C42—81no—
1135C42—861no—
1136C42—861no—
1137C42—3441no—
1138C42—1722no—
1139C23—21no—
1140C23—21no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—82no—
1166C23—82no—
1167C23—82no—
1168C23—82no—
1169C23—432no—
1170C23—861no—
1171C23—861no—
1172C23—861no—
1173C23—861no—
1174C23—861no—
1175C23—861no—
1176C23—861no—
1177C23—861no—
1178C23—3441no—
1179C23—3441no—
1180C23—3444no—
1181C23—3444no—
1182C23—1722no—
1183C23—1722no—
1184C23—1721no—
1185C23—1721no—
1186C23—1721no—
1187C23—1721no—
1188C23—1722no—
1189C23—1721no—
1190C23—1721no—
1191C23—1722no—
1192C23C2×(C2×D43)⋊C411yescharacteristic
1193C23C2×(C2×D43)⋊C411yescharacteristic
1194C23C2×(C2×D43)⋊C411yescharacteristic
1195C23C2×(C2×D43)⋊C411yescharacteristic
1196C23C22×C4×D4311yescharacteristic
1197C23C2×D4×D4311yescharacteristic
1198C23C22×C22⋊D4311yescharacteristic
1199C23C22×D17211yescharacteristic
1200C23#41×D4311yescharacteristic
1201C23#1306337011yescharacteristic
1202C23#1306337111yescharacteristic
1203Q8—1722no—
1204Q8—1722no—
1205D4—862no—
1206D4—862no—
1207D4—862no—
1208D4—862no—
1209D4—3441no—
1210D4—3441no—
1211D4—3441no—
1212D4—3441no—
1213D4—1722no—
1214D4—1722no—
1215D4—1722no—
1216D4—1722no—
1217D4—1722no—
1218D4—1722no—
1219D4—1722no—
1220D4—1722no—
1221D4—1721no—
1222D4—1721no—
1223D4—1721no—
1224D4—1721no—
1225D4—1721no—
1226D4—1721no—
1227D4—1721no—
1228D4—1721no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—22no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—84no—
1260C2×C4—432no—
1261C2×C4—861no—
1262C2×C4—861no—
1263C2×C4—861no—
1264C2×C4—861no—
1265C2×C4—861no—
1266C2×C4—861no—
1267C2×C4—861no—
1268C2×C4—861no—
1269C2×C4—861no—
1270C2×C4—861no—
1271C2×C4—862no—
1272C2×C4—3441no—
1273C2×C4—3441no—
1274C2×C4—3444no—
1275C2×C4—1722no—
1276C2×C4—1722no—
1277C2×C4—1722no—
1278C2×C4—1722no—
1279C2×C4—1722no—
1280C2×C4—1722no—
1281C2×C4—1721no—
1282C2×C4—1721no—
1283C2×C4—1721no—
1284C2×C4—1721no—
1285C2×C4—1721no—
1286C2×C4—1721no—
1287C2×C4—1721no—
1288C2×C4—1721no—
1289C2×C4—1721no—
1290C2×C4—1721no—
1291C2×C4—1721no—
1292C2×C4—1721no—
1293C2×C4—1721no—
1294C2×C4C2×(C2×D43)⋊C411yescharacteristic
1295C2×C4C2×(C2×D43)⋊C411yescharacteristic
1296C2×C4C2×(C2×D43)⋊C411yescharacteristic
1297C2×C4C2×(C2×D43)⋊C411yescharacteristic
1298C2×C4C2×(C2×D43)⋊C411yescharacteristic
1299C2×C4C2×(C2×D43)⋊C411yescharacteristic
1300C2×C4C2×(C2×D43)⋊C411yescharacteristic
1301C2×C4C2×(C2×D43)⋊C411yescharacteristic
1302C22—21no—
1303C22—21no—
1304C22—21no—
1305C22—21no—
1306C22—21no—
1307C22—21no—
1308C22—21no—
1309C22—21no—
1310C22—21no—
1311C22—21no—
1312C22—21no—
1313C22—21no—
1314C22—21no—
1315C22—21no—
1316C22—21no—
1317C22—21no—
1318C22—21no—
1319C22—41no—
1320C22—41no—
1321C22—41no—
1322C22—41no—
1323C22—42no—
1324C22—42no—
1325C22—42no—
1326C22—42no—
1327C22—42no—
1328C22—42no—
1329C22—81no—
1330C22—81no—
1331C22—81no—
1332C22—81no—
1333C22—81no—
1334C22—81no—
1335C22—862no—
1336C22—3441no—
1337C22—3441no—
1338C22—3441no—
1339C22—3441no—
1340C22—3444no—
1341C22—3444no—
1342C22—1722no—
1343C22—1722no—
1344C22—1721no—
1345C22—1721no—
1346C22—1721no—
1347C22—1721no—
1348C22—1721no—
1349C22—1721no—
1350C22—1721no—
1351C22—1721no—
1352C22#1458287212yescomplemented
1353C22C22×(C2×D43)⋊C411yescharacteristic
1354C22C4×D4×D4311yescharacteristic
1355C22#1458337111yescharacteristic
1356C22D4×C22⋊D4311yescharacteristic
1357C22D4×D17211yescharacteristic
1358C22#1458353711yescharacteristic
1359C22#1458354411yescharacteristic
1360C4—21no—
1361C4—21no—
1362C4—21no—
1363C4—21no—
1364C4—21no—
1365C4—21no—
1366C4—21no—
1367C4—21no—
1368C4—42no—
1369C4—81no—
1370C4—81no—
1371C4—81no—
1372C4—862no—
1373C4—3441no—
1374C4—3441no—
1375C4—3441no—
1376C4—1722no—
1377C4—1721no—
1378C4—1721no—
1379C4—1721no—
1380C4—1721no—
1381C2—21no—
1382C2—21no—
1383C2—21no—
1384C2—21no—
1385C2—22no—
1386C2—21no—
1387C2—21no—
1388C2—41no—
1389C2—41no—
1390C2—41no—
1391C2—3441no—
1392C2—3441no—
1393C2—1722no—
1394C2D4×(C2×D43)⋊C411yescharacteristic
1395C2C2×#1458287211yescharacteristic
1396C2#1914305511yescharacteristic
subgroupG/H
centerC22C22×(C2×D43)⋊C4
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC43×#2342C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#14583539C2
cosocleC24×C43C24
hypercenter#2342D43
hypocenterC43#22405
LCSG ▷ C23×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C22⋊C4 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. C2×#14582872C2semidirect
3. C22×#13063239C2semidirect
4. #19137444C2semidirect
5. #19135431C2semidirect
6. #19135430C2semidirect
7. #19135053C2semidirect
8. #19135051C2semidirect
9. #19135048C2semidirect
10. #19135046C2semidirect
11. #19134580C2semidirect
12. #19134512C2semidirect
13. #19134509C2semidirect
14. C4×#13063239C2semidirect
15. C43×#2342C2semidirect
26. C2×#13063311C4semidirect
28. C2×#13063307C4semidirect
29. C2×#13063302C4semidirect
31. C2×#13063298C4semidirect
32. C2×#13063298C4semidirect
33. C2×#13063295C4semidirect
36. C2×(C22⋊D43)⋊C4C4semidirect
37. C2×#13063284C22semidirect
39. C2×C22⋊C4×D43C4semidirect
50. C2×#13063239C22semidirect
51. C2×#13063239C22semidirect
52. C2×#13063239C22semidirect
53. C2×#13063239C22semidirect
57. #14582762C22semidirect
58. #14582759C22semidirect
61. C4×C22⋊Dic43C22semidirect
62. #14582665C22semidirect
63. #14582665C22semidirect
64. #14582665C22semidirect
65. #14582665C22semidirect
66. C2×#117×C43C22semidirect
72. C43×#381C22semidirect
73. C43×#380C22semidirect
76. C4×C22⋊C4×C43C22semidirect
86. C22×Dic86C2×C4semidirect
87. C22×D172C2×C4semidirect
88. C22×D172C2×C4semidirect
106. C22×C4×D43C2×C4semidirect
107. C22×C4×D43C2×C4semidirect
108. C22×C4×D43C2×C4semidirect
157. C2×C4⋊Dic43C2×C4semidirect
158. C2×Dic43⋊C4C2×C4semidirect
159. C2×Dic43⋊C4C2×C4semidirect
160. C2×Dic43⋊C4C2×C4semidirect
173. C2×(C2×D43)⋊C4C2×C4semidirect
174. C2×(C2×D43)⋊C4C2×C4semidirect
175. C2×(C2×D43)⋊C4C2×C4semidirect
176. C2×(C2×D43)⋊C4C2×C4semidirect
177. C2×(C2×D43)⋊C4C2×C4semidirect
184. C2×C4×Dic43C2×C4semidirect
196. #13063239D4semidirect
637. C22×C43#410semidirect
687. #2342D43semidirect
736. C2×#117C2×D43semidirect
762. #381C2×D43semidirect
764. #380C2×D43semidirect
770. C4×C22⋊C4C2×D43semidirect
775. C43#22405semidirect
1352. C22#14582872semidirect

Maximal subgroups

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

subgroupindex
C2×#145835392
C2×#145828722
C22×#130632392
#191374442
#191354312
#191354302
#191350532
#191350512
#191350482
#191350462
#191345802
#191345122
#191345092
C4×#130632392
C43×#23422
#2240543