Finite Group Databasebeta

← D43×#2655 #25263236

Subgroups — D43×#2655 #25263236

Order 11008.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19140695C211yesmaximal, characteristic, complemented
2#19140694C211yesmaximal, characteristic, complemented
3#19140693C211yesmaximal, characteristic, complemented
4#19140692C211yesmaximal, characteristic, complemented
5#19140691C211yesmaximal, characteristic, complemented
6#19140690C211yesmaximal, characteristic, complemented
7#19140689C211yesmaximal, characteristic, complemented
8#19140688C211yesmaximal, characteristic, complemented
9#19140687C211yesmaximal, characteristic, complemented
10#19140686C211yesmaximal, characteristic, complemented
11#19140685C211yesmaximal, characteristic, complemented
12#19140684C211yesmaximal, characteristic, complemented
13#19140683C211yesmaximal, characteristic, complemented
14#19140682C211yesmaximal, characteristic, complemented
15#19140681C211yesmaximal, characteristic, complemented
16#401×D43C211yesmaximal, characteristic
17#400×D43C211yesmaximal, characteristic
18#400×D43C211yesmaximal, characteristic
19#400×D43C211yesmaximal, characteristic
20#400×D43C211yesmaximal, characteristic
21#398×D43C211yesmaximal, characteristic
22#398×D43C211yesmaximal, characteristic
23#398×D43C211yesmaximal, characteristic
24#389×D43C211yesmaximal, characteristic
25#387×D43C211yesmaximal, characteristic
26#387×D43C211yesmaximal, characteristic
27#387×D43C211yesmaximal, characteristic
28#387×D43C211yesmaximal, characteristic
29#387×D43C211yesmaximal, characteristic
30C4×C4⋊C4×D43C211yesmaximal, characteristic
31C43×#2655C211yesmaximal, characteristic, complemented
32C2×C4⋊C4×D43C2211yescharacteristic
33C2×C4⋊C4×D43C2211yescharacteristic
34C2×C4⋊C4×D43C2211yescharacteristic
35C2×C4⋊C4×D43C2211yescharacteristic
36C2×C4⋊C4×D43C2211yescharacteristic
37C2×C4⋊C4×D43C2211yescharacteristic
38C2×C4⋊C4×D43C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40C2×C4⋊C4×D43C2211yescharacteristic
41C2×C4⋊C4×D43C2211yescharacteristic
42C2×C4⋊C4×D43C2211yescharacteristic
43C2×C4⋊C4×D43C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45C2×C42×D43C2211yescharacteristic
46C2×C42×D43C2211yescharacteristic
47C43⋊#401C2211yescharacteristic
48C43⋊#401C2211yescharacteristic
49C43⋊#401C2211yescharacteristic
50C43⋊#401C2211yescharacteristic
51C43⋊#401C2211yescharacteristic
52C43⋊#401C2211yescharacteristic
53C43⋊#401C2211yescharacteristic
54#14582841C2211yescharacteristic
55#14582841C2211yescharacteristic
56#14582841C2211yescharacteristic
57#14582841C2211yescharacteristic
58#14582841C2211yescharacteristic
59#14582841C2211yescharacteristic
60#14582841C2211yescharacteristic
61#14582841C2211yescharacteristic
62#14582840C2211yescharacteristic
63#14582840C2211yescharacteristic
64#14582840C2211yescharacteristic
65#14582840C2211yescharacteristic
66#14582840C2211yescharacteristic
67#14582840C2211yescharacteristic
68#14582840C2211yescharacteristic
69#14582840C2211yescharacteristic
70#14582839C2211yescharacteristic
71#14582839C2211yescharacteristic
72#14582839C2211yescharacteristic
73#14582839C2211yescharacteristic
74#14582838C2211yescharacteristic
75#14582838C2211yescharacteristic
76#14582838C2211yescharacteristic
77#14582838C2211yescharacteristic
78#14582837C2211yescharacteristic
79#14582837C2211yescharacteristic
80#14582837C2211yescharacteristic
81#14582837C2211yescharacteristic
82#14582833C2211yescharacteristic
83#14582833C2211yescharacteristic
84#14582833C2211yescharacteristic
85#14582833C2211yescharacteristic
86#14582833C2211yescharacteristic
87#14582833C2211yescharacteristic
88#14582832C2211yescharacteristic
89#14582832C2211yescharacteristic
90#14582832C2211yescharacteristic
91#14582832C2211yescharacteristic
92#14582832C2211yescharacteristic
93#14582832C2211yescharacteristic
94#14582831C2211yescharacteristic
95#14582831C2211yescharacteristic
96#14582831C2211yescharacteristic
97#14582830C2211yescharacteristic
98#14582830C2211yescharacteristic
99#14582830C2211yescharacteristic
100#14582829C2211yescharacteristic
101#14582829C2211yescharacteristic
102#14582829C2211yescharacteristic
103#14582798C2211yescharacteristic
104#14582797C2211yescharacteristic
105#14582796C2211yescharacteristic
106#14582796C2211yescharacteristic
107#14582795C2211yescharacteristic
108#14582794C2211yescharacteristic
109#14582794C2211yescharacteristic
110#14582786C2211yescharacteristic
111#14582786C2211yescharacteristic
112#14582786C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582786C2211yescharacteristic
115#14582785C2211yescharacteristic
116#14582785C2211yescharacteristic
117#14582785C2211yescharacteristic
118#14582785C2211yescharacteristic
119#14582785C2211yescharacteristic
120#14582784C2211yescharacteristic
121#14582784C2211yescharacteristic
122#14582784C2211yescharacteristic
123#14582784C2211yescharacteristic
124#14582784C2211yescharacteristic
125#14582783C2211yescharacteristic
126#14582783C2211yescharacteristic
127#14582783C2211yescharacteristic
128#14582783C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582782C2211yescharacteristic
131#14582782C2211yescharacteristic
132#14582782C2211yescharacteristic
133#14582782C2211yescharacteristic
134#14582782C2211yescharacteristic
135#14582781C2211yescharacteristic
136#14582781C2211yescharacteristic
137#14582781C2211yescharacteristic
138#14582781C2211yescharacteristic
139#14582781C2211yescharacteristic
140#14582780C2211yescharacteristic
141#14582780C2211yescharacteristic
142#14582780C2211yescharacteristic
143#14582780C2211yescharacteristic
144#14582780C2211yescharacteristic
145C4⋊C4×Dic43C2211yescharacteristic
146C4⋊C4×Dic43C2211yescharacteristic
147C4×Dic43⋊C4C2211yescharacteristic
148C4×Dic43⋊C4C2211yescharacteristic
149C4×C4⋊Dic43C2211yescharacteristic
150#14582750C2211yescharacteristic
151#14582750C2211yescharacteristic
152#95×D43C2211yescharacteristic
153#95×D43C2211yescharacteristic
154#95×D43C2211yescharacteristic
155#95×D43C2211yescharacteristic
156#95×D43C2211yescharacteristic
157#95×D43C2211yescharacteristic
158#95×D43C2211yescharacteristic
159#95×D43C2211yescharacteristic
160#95×D43C2211yescharacteristic
161#95×D43C2211yescharacteristic
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#401C2211yescharacteristic
173C43×#400C2211yescharacteristic
174C43×#400C2211yescharacteristic
175C43×#400C2211yescharacteristic
176C43×#400C2211yescharacteristic
177C43×#398C2211yescharacteristic
178C43×#398C2211yescharacteristic
179C43×#398C2211yescharacteristic
180C43×#389C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C4×C4⋊C4×C43C2211yescharacteristic
187C22×C4×D43C2311yescharacteristic
188C22×C4×D43C2311yescharacteristic
189C22×C4×D43C2311yescharacteristic
190C22×C4×D43C2311yescharacteristic
191C22×C4×D43C2311yescharacteristic
192C22×C4×D43C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C2×C4⋊Dic43C2311yescharacteristic
203C2×C4⋊Dic43C2311yescharacteristic
204C2×C4⋊Dic43C2311yescharacteristic
205C2×C4⋊Dic43C2311yescharacteristic
206C2×C4⋊Dic43C2311yescharacteristic
207C2×C4⋊Dic43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C4⋊C4×D43—24no—
239C4⋊C4×D43—24no—
240C4⋊C4×D43—24no—
241C4⋊C4×D43—24no—
242C4⋊C4×D43—24no—
243C4⋊C4×D43—24no—
244C4⋊C4×D43—24no—
245C4⋊C4×D43—24no—
246C4⋊C4×D43—42no—
247C4⋊C4×D43—42no—
248C4⋊C4×D43—42no—
249C4⋊C4×D43—42no—
250C2×C4×Dic43C2311yescharacteristic
251C2×C4×Dic43C2311yescharacteristic
252C2×C4×Dic43C2311yescharacteristic
253C2×C4×Dic43C2311yescharacteristic
254C2×C4×Dic43C2311yescharacteristic
255C2×C4×Dic43C2311yescharacteristic
256C2×C4×Dic43C2311yescharacteristic
257C2×C4×Dic43C2311yescharacteristic
258C2×C4×Dic43C2311yescharacteristic
259C42×D43—24no—
260C42×D43—42no—
261C42×D43—42no—
262C43⋊#95C2311yescharacteristic
263C43⋊#95C2311yescharacteristic
264C43⋊#95C2311yescharacteristic
265C43⋊#95C2311yescharacteristic
266C43⋊#95C2311yescharacteristic
267C43⋊#95C2311yescharacteristic
268C43⋊#95C2311yescharacteristic
269C43⋊#95C2311yescharacteristic
270C43⋊#95C2311yescharacteristic
271C43⋊#95C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C2×C4⋊C4×C43C2311yescharacteristic
323C2×C4⋊C4×C43C2311yescharacteristic
324C2×C4⋊C4×C43C2311yescharacteristic
325C2×C4⋊C4×C43C2311yescharacteristic
326C2×C4⋊C4×C43C2311yescharacteristic
327C2×C4⋊C4×C43C2311yescharacteristic
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C42×C43C2311yescharacteristic
335C2×C42×C43C2311yescharacteristic
336C2×C42×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C23×D43C2411yescharacteristic
358C22×C4×C43C2411yescharacteristic
359C22×C4×C43C2411yescharacteristic
360C22×C4×C43C2411yescharacteristic
361C22×C4×C43C2411yescharacteristic
362C22×C4×C43C2411yescharacteristic
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2411yescharacteristic
365C22×C4×C43C2411yescharacteristic
366C22×C4×C43C2411yescharacteristic
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2411yescharacteristic
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×Dic43C2411yescharacteristic
374C22×Dic43C2411yescharacteristic
375C22×Dic43C2411yescharacteristic
376C22×Dic43C2411yescharacteristic
377C22×Dic43C2411yescharacteristic
378C22×Dic43C2411yescharacteristic
379C22×Dic43C2411yescharacteristic
380C22×Dic43C2411yescharacteristic
381C22×Dic43C2411yescharacteristic
382C22×Dic43C2411yescharacteristic
383C22×Dic43C2411yescharacteristic
384C22×Dic43C2411yescharacteristic
385C22×Dic43C2411yescharacteristic
386C22×Dic43C2411yescharacteristic
387C22×Dic43C2411yescharacteristic
388C2×C4×D43—22no—
389C2×C4×D43—22no—
390C2×C4×D43—22no—
391C2×C4×D43—22no—
392C2×C4×D43—22no—
393C2×C4×D43—22no—
394C2×C4×D43—22no—
395C2×C4×D43—22no—
396C2×C4×D43—22no—
397C2×C4×D43—22no—
398C2×C4×D43—22no—
399C2×C4×D43—22no—
400C2×C4×D43—22no—
401C2×C4×D43—22no—
402C2×C4×D43—22no—
403C2×C4×D43—22no—
404C2×C4×D43—22no—
405C2×C4×D43—22no—
406C2×C4×D43—22no—
407C2×C4×D43—22no—
408C2×C4×D43—22no—
409C2×C4×D43—22no—
410C2×C4×D43—22no—
411C2×C4×D43—22no—
412C2×C4×D43—22no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
423C2×C4×D43—22no—
424C2×C4×D43—22no—
425C2×C4×D43—22no—
426C2×C4×D43—22no—
427C2×C4×D43—22no—
428C2×C4×D43—22no—
429C2×C4×D43—22no—
430C2×C4×D43#4114yes—
431C2×C4×D43#4114yes—
432C2×C4×D43#4114yes—
433C4⋊C4×C43—22no—
434C4⋊C4×C43—22no—
435C4⋊C4×C43—22no—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—22no—
439C4⋊C4×C43—22no—
440C4⋊C4×C43—22no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C4⋊C4×C43—41no—
445C42×C43—22no—
446C42×C43—41no—
447C42×C43—41no—
448C4⋊Dic43—22no—
449C4⋊Dic43—22no—
450C4⋊Dic43—22no—
451C4⋊Dic43—22no—
452C4⋊Dic43—22no—
453C4⋊Dic43—22no—
454C4⋊Dic43—22no—
455C4⋊Dic43—22no—
456C4⋊Dic43—41no—
457C4⋊Dic43—41no—
458C4⋊Dic43—41no—
459C4⋊Dic43—41no—
460Dic43⋊C4—22no—
461Dic43⋊C4—22no—
462Dic43⋊C4—22no—
463Dic43⋊C4—22no—
464Dic43⋊C4—22no—
465Dic43⋊C4—22no—
466Dic43⋊C4—22no—
467Dic43⋊C4—22no—
468Dic43⋊C4—22no—
469Dic43⋊C4—22no—
470Dic43⋊C4—22no—
471Dic43⋊C4—22no—
472Dic43⋊C4—22no—
473Dic43⋊C4—22no—
474Dic43⋊C4—22no—
475Dic43⋊C4—22no—
476Dic43⋊C4—41no—
477Dic43⋊C4—41no—
478Dic43⋊C4—41no—
479Dic43⋊C4—41no—
480Dic43⋊C4—41no—
481Dic43⋊C4—41no—
482Dic43⋊C4—41no—
483Dic43⋊C4—41no—
484C4×Dic43—22no—
485C4×Dic43—22no—
486C4×Dic43—22no—
487C4×Dic43—41no—
488C4×Dic43—41no—
489C4×Dic43—41no—
490C4×Dic43—41no—
491C4×Dic43—41no—
492C4×Dic43—41no—
493C23×C43C2511yescharacteristic
494C22×D43C2×#4112yes—
495C22×D43C2×#4112yes—
496C22×D43C2×#4112yes—
497C22×D43H(5,𝔽2)12yes—
498C22×D432−1+412yes—
499C22×D432−1+412yes—
500C22×D432−1+412yes—
501C2×C4×C43—21no—
502C2×C4×C43—21no—
503C2×C4×C43—21no—
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—21no—
517C2×C4×C43—21no—
518C2×C4×C43—21no—
519C2×C4×C43—21no—
520C2×C4×C43—21no—
521C2×C4×C43—21no—
522C2×C4×C43—21no—
523C2×C4×C43—21no—
524C2×C4×C43—21no—
525C2×C4×C43—21no—
526C2×C4×C43—21no—
527C2×C4×C43—21no—
528C2×C4×C43—21no—
529C2×C4×C43—21no—
530C2×C4×C43—21no—
531C2×C4×C43—21no—
532C2×C4×C43—21no—
533C2×C4×C43—21no—
534C2×C4×C43—21no—
535C2×C4×C43—21no—
536C2×C4×C43—21no—
537C2×C4×C43—21no—
538C2×C4×C43—21no—
539C2×C4×C43—21no—
540C2×C4×C43—21no—
541C2×C4×C43—21no—
542C2×C4×C43—21no—
543C2×C4×C43C2×#4112yes—
544C2×C4×C43C2×#4112yes—
545C2×C4×C43C2×#4112yes—
546C2×Dic43—21no—
547C2×Dic43—21no—
548C2×Dic43—21no—
549C2×Dic43—21no—
550C2×Dic43—21no—
551C2×Dic43—21no—
552C2×Dic43—21no—
553C2×Dic43—21no—
554C2×Dic43—21no—
555C2×Dic43—21no—
556C2×Dic43—21no—
557C2×Dic43—21no—
558C2×Dic43—21no—
559C2×Dic43—21no—
560C2×Dic43—21no—
561C2×Dic43—21no—
562C2×Dic43—21no—
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—21no—
574C2×Dic43—21no—
575C2×Dic43—21no—
576C2×Dic43—21no—
577C2×Dic43—21no—
578C2×Dic43—21no—
579C2×Dic43—21no—
580C2×Dic43—21no—
581C2×Dic43—21no—
582C2×Dic43—21no—
583C2×Dic43—21no—
584C2×Dic43—21no—
585C2×Dic43—21no—
586C2×Dic43—21no—
587C2×Dic43—21no—
588C2×Dic43C2×#4112yes—
589C2×Dic43C2×#4112yes—
590C2×Dic43C2×#4112yes—
591C4×D43—28no—
592C4×D43—28no—
593C4×D43—28no—
594C4×D43—44no—
595C4×D43—44no—
596C4×D43—44no—
597C4×D43—44no—
598C4×D43—44no—
599C4×D43—44no—
600C4×D43—44no—
601C4×D43—44no—
602C4×D43—44no—
603C4×D43—44no—
604C4×D43—44no—
605C4×D43—44no—
606C2×#2655—431nomaximal, Sylow
607C22×C43C22×#4111yescharacteristic
608C22×C43C22×#4111yescharacteristic
609C22×C43C22×#4111yescharacteristic
610C22×C43C2×H(5,𝔽2)11yescharacteristic
611C22×C43C2×2−1+411yescharacteristic
612C22×C43C2×2−1+411yescharacteristic
613C22×C43C2×2−1+411yescharacteristic
614C2×D43#52914yes—
615C2×D43#53914yes—
616C2×D43#53914yes—
617C2×D43#54114yes—
618C2×D43#54114yes—
619C2×D43#54114yes—
620C2×D43#54214yes—
621C4×C43—22no—
622C4×C43—22no—
623C4×C43—22no—
624C4×C43—41no—
625C4×C43—41no—
626C4×C43—41no—
627C4×C43—41no—
628C4×C43—41no—
629C4×C43—41no—
630C4×C43—41no—
631C4×C43—41no—
632C4×C43—41no—
633C4×C43—41no—
634C4×C43—41no—
635C4×C43—41no—
636Dic43—22no—
637Dic43—22no—
638Dic43—22no—
639Dic43—41no—
640Dic43—41no—
641Dic43—41no—
642Dic43—41no—
643Dic43—41no—
644Dic43—41no—
645Dic43—41no—
646Dic43—41no—
647Dic43—41no—
648Dic43—41no—
649Dic43—41no—
650Dic43—41no—
651#2655—431no—
652#2655—431no—
653#2655—431no—
654#2655—431no—
655#2655—431no—
656#2655—431no—
657#2655—431no—
658#2655—431no—
659#2655—431no—
660#2655—431no—
661#2655—431no—
662#2655—431no—
663#2655—431no—
664#2655—431no—
665#2655—431no—
666#2655D4311yescharacteristic, direct product factor
667C2×#401—431no—
668C2×#400—431no—
669C2×#400—431no—
670C2×#400—431no—
671C2×#400—431no—
672C2×#398—431no—
673C2×#398—431no—
674C2×#398—431no—
675C2×#389—431no—
676C2×#387—431no—
677C2×#387—431no—
678C2×#387—431no—
679C2×#387—431no—
680C2×#387—431no—
681C2×C4×C4⋊C4—431no—
682C2×C43C2×#52911yescharacteristic
683C2×C43C2×#53911yescharacteristic
684C2×C43C2×#53911yescharacteristic
685C2×C43C2×#54111yescharacteristic
686C2×C43C2×#54111yescharacteristic
687C2×C43C2×#54111yescharacteristic
688C2×C43C2×#54211yescharacteristic
689D43#265518yesdirect product factor
690C22×C4⋊C4—431no—
691C22×C4⋊C4—431no—
692C22×C4⋊C4—431no—
693C22×C4⋊C4—431no—
694C22×C4⋊C4—431no—
695C22×C4⋊C4—431no—
696C22×C4⋊C4—431no—
697C22×C4⋊C4—431no—
698C22×C4⋊C4—431no—
699C22×C4⋊C4—431no—
700C22×C4⋊C4—431no—
701C22×C4⋊C4—431no—
702C22×C42—431no—
703C22×C42—431no—
704C22×C42—431no—
705#401—431no—
706#401—431no—
707#401—431no—
708#401—431no—
709#401—431no—
710#401—431no—
711#401—431no—
712#401C2×D4311yescharacteristic
713#400—431no—
714#400—431no—
715#400—431no—
716#400—431no—
717#400—431no—
718#400—431no—
719#400—431no—
720#400—431no—
721#400—431no—
722#400—431no—
723#400—431no—
724#400—431no—
725#400—431no—
726#400—431no—
727#400—431no—
728#400—431no—
729#400—431no—
730#400—431no—
731#400—431no—
732#400—431no—
733#400—431no—
734#400—431no—
735#400—431no—
736#400—431no—
737#400—431no—
738#400—431no—
739#400—431no—
740#400—431no—
741#400C2×D4311yescharacteristic
742#400C2×D4311yescharacteristic
743#400C2×D4311yescharacteristic
744#400C2×D4311yescharacteristic
745#398—431no—
746#398—431no—
747#398—431no—
748#398—431no—
749#398—431no—
750#398—431no—
751#398—431no—
752#398—431no—
753#398—431no—
754#398—431no—
755#398—431no—
756#398—431no—
757#398—431no—
758#398—431no—
759#398—431no—
760#398—431no—
761#398—431no—
762#398—431no—
763#398—431no—
764#398—431no—
765#398—431no—
766#398C2×D4311yescharacteristic
767#398C2×D4311yescharacteristic
768#398C2×D4311yescharacteristic
769#389—431no—
770#389—431no—
771#389—431no—
772#389—431no—
773#389—431no—
774#389—431no—
775#389—431no—
776#389C2×D4311yescharacteristic
777#387—431no—
778#387—431no—
779#387—431no—
780#387—431no—
781#387—431no—
782#387—431no—
783#387—431no—
784#387—431no—
785#387—431no—
786#387—431no—
787#387—431no—
788#387—431no—
789#387—431no—
790#387—431no—
791#387—431no—
792#387—431no—
793#387—431no—
794#387—431no—
795#387—431no—
796#387—431no—
797#387—431no—
798#387—431no—
799#387—431no—
800#387—431no—
801#387—431no—
802#387—431no—
803#387—431no—
804#387—431no—
805#387—431no—
806#387—431no—
807#387—431no—
808#387—431no—
809#387—431no—
810#387—431no—
811#387—431no—
812#387C2×D4311yescharacteristic
813#387C2×D4311yescharacteristic
814#387C2×D4311yescharacteristic
815#387C2×D4311yescharacteristic
816#387C2×D4311yescharacteristic
817C4×C4⋊C4—431no—
818C4×C4⋊C4—431no—
819C4×C4⋊C4—431no—
820C4×C4⋊C4—431no—
821C4×C4⋊C4—431no—
822C4×C4⋊C4—431no—
823C4×C4⋊C4—431no—
824C4×C4⋊C4C2×D4311yescharacteristic
825C2×#95—431no—
826C2×#95—431no—
827C2×#95—431no—
828C2×#95—431no—
829C2×#95—431no—
830C2×#95—431no—
831C2×#95—431no—
832C2×#95—431no—
833C2×#95—431no—
834C2×#95—431no—
835C2×#95—431no—
836C2×#95—431no—
837C2×#95—431no—
838C2×#95—431no—
839C2×#95—431no—
840C2×#95—431no—
841C2×#95—431no—
842C2×#95—431no—
843C2×#95—431no—
844C2×#95—431no—
845C43C2×#265511yescharacteristic, complemented, Sylow
846C23×C4—431no—
847C23×C4—431no—
848C23×C4—431no—
849C23×C4—431no—
850C23×C4—431no—
851C23×C4—431no—
852C23×C4—431no—
853C23×C4—431no—
854C23×C4—431no—
855C23×C4—431no—
856C23×C4—431no—
857C23×C4—431no—
858C23×C4—431no—
859C23×C4—431no—
860C23×C4—431no—
861C2×C4⋊C4—431no—
862C2×C4⋊C4—431no—
863C2×C4⋊C4—431no—
864C2×C4⋊C4—431no—
865C2×C4⋊C4—431no—
866C2×C4⋊C4—431no—
867C2×C4⋊C4—431no—
868C2×C4⋊C4—431no—
869C2×C4⋊C4—431no—
870C2×C4⋊C4—431no—
871C2×C4⋊C4—431no—
872C2×C4⋊C4—431no—
873C2×C4⋊C4—431no—
874C2×C4⋊C4—431no—
875C2×C4⋊C4—431no—
876C2×C4⋊C4—431no—
877C2×C4⋊C4—431no—
878C2×C4⋊C4—431no—
879C2×C4⋊C4—431no—
880C2×C4⋊C4—431no—
881C2×C4⋊C4—431no—
882C2×C4⋊C4—431no—
883C2×C4⋊C4—431no—
884C2×C4⋊C4—431no—
885C2×C4⋊C4—431no—
886C2×C4⋊C4—431no—
887C2×C4⋊C4—431no—
888C2×C4⋊C4—431no—
889C2×C4⋊C4—431no—
890C2×C4⋊C4—431no—
891C2×C4⋊C4—431no—
892C2×C4⋊C4—431no—
893C2×C4⋊C4—431no—
894C2×C4⋊C4—431no—
895C2×C4⋊C4—431no—
896C2×C4⋊C4—431no—
897C2×C4⋊C4—864no—
898C2×C4⋊C4—864no—
899C2×C4⋊C4—864no—
900C2×C4⋊C4—864no—
901C2×C4⋊C4—864no—
902C2×C4⋊C4—864no—
903C2×C4⋊C4—864no—
904C2×C4⋊C4—864no—
905C2×C4⋊C4—1722no—
906C2×C4⋊C4—1722no—
907C2×C4⋊C4—1722no—
908C2×C4⋊C4—1722no—
909C2×C4⋊C4C22×D4311yescharacteristic
910C2×C4⋊C4C22×D4311yescharacteristic
911C2×C4⋊C4C22×D4311yescharacteristic
912C2×C4⋊C4C22×D4311yescharacteristic
913C2×C4⋊C4C22×D4311yescharacteristic
914C2×C4⋊C4C22×D4311yescharacteristic
915C2×C4⋊C4C22×D4311yescharacteristic
916C2×C4⋊C4C22×D4311yescharacteristic
917C2×C4⋊C4C22×D4311yescharacteristic
918C2×C4⋊C4C22×D4311yescharacteristic
919C2×C4⋊C4C22×D4311yescharacteristic
920C2×C4⋊C4C22×D4311yescharacteristic
921C2×C42—431no—
922C2×C42—431no—
923C2×C42—431no—
924C2×C42—431no—
925C2×C42—431no—
926C2×C42—431no—
927C2×C42—431no—
928C2×C42—431no—
929C2×C42—431no—
930C2×C42—864no—
931C2×C42—1722no—
932C2×C42—1722no—
933C2×C42C22×D4311yescharacteristic
934C2×C42C22×D4311yescharacteristic
935C2×C42C22×D4311yescharacteristic
936#95—431no—
937#95—431no—
938#95—431no—
939#95—431no—
940#95—431no—
941#95—431no—
942#95—431no—
943#95—431no—
944#95—431no—
945#95—431no—
946#95—431no—
947#95—431no—
948#95—431no—
949#95—431no—
950#95—431no—
951#95—431no—
952#95—431no—
953#95—431no—
954#95—431no—
955#95—431no—
956#95—431no—
957#95—431no—
958#95—431no—
959#95—431no—
960#95—431no—
961#95—431no—
962#95—431no—
963#95—431no—
964#95—431no—
965#95—431no—
966#95—431no—
967#95—431no—
968#95—431no—
969#95—431no—
970#95—431no—
971#95—431no—
972#95—431no—
973#95—431no—
974#95—431no—
975#95—431no—
976#95—431no—
977#95—431no—
978#95—431no—
979#95—431no—
980#95—431no—
981#95—431no—
982#95—431no—
983#95—431no—
984#95—431no—
985#95—431no—
986#95—431no—
987#95—431no—
988#95—431no—
989#95—431no—
990#95—431no—
991#95—431no—
992#95—431no—
993#95—431no—
994#95—431no—
995#95—431no—
996#95C22×D4311yescharacteristic
997#95C22×D4311yescharacteristic
998#95C22×D4311yescharacteristic
999#95C22×D4311yescharacteristic
1000#95C22×D4311yescharacteristic
1001#95C22×D4311yescharacteristic
1002#95C22×D4311yescharacteristic
1003#95C22×D4311yescharacteristic
1004#95C22×D4311yescharacteristic
1005#95C22×D4311yescharacteristic
1006#95C22×D4311yescharacteristic
1007#95C22×D4311yescharacteristic
1008#95C22×D4311yescharacteristic
1009#95C22×D4311yescharacteristic
1010#95C22×D4311yescharacteristic
1011#95C22×D4311yescharacteristic
1012#95C22×D4311yescharacteristic
1013#95C22×D4311yescharacteristic
1014#95C22×D4311yescharacteristic
1015#95C22×D4311yescharacteristic
1016C24—431no—
1017C22×C4—431no—
1018C22×C4—431no—
1019C22×C4—431no—
1020C22×C4—434no—
1021C22×C4—434no—
1022C22×C4—434no—
1023C22×C4—431no—
1024C22×C4—431no—
1025C22×C4—431no—
1026C22×C4—431no—
1027C22×C4—431no—
1028C22×C4—431no—
1029C22×C4—431no—
1030C22×C4—431no—
1031C22×C4—431no—
1032C22×C4—431no—
1033C22×C4—431no—
1034C22×C4—431no—
1035C22×C4—862no—
1036C22×C4—862no—
1037C22×C4—862no—
1038C22×C4—862no—
1039C22×C4—862no—
1040C22×C4—862no—
1041C22×C4—862no—
1042C22×C4—862no—
1043C22×C4—862no—
1044C22×C4—862no—
1045C22×C4—862no—
1046C22×C4—862no—
1047C22×C4—862no—
1048C22×C4—862no—
1049C22×C4—862no—
1050C22×C4—862no—
1051C22×C4—862no—
1052C22×C4—862no—
1053C22×C4—862no—
1054C22×C4—862no—
1055C22×C4—862no—
1056C22×C4—862no—
1057C22×C4—862no—
1058C22×C4—862no—
1059C22×C4—862no—
1060C22×C4—862no—
1061C22×C4—862no—
1062C22×C4—862no—
1063C22×C4—862no—
1064C22×C4—862no—
1065C22×C4—862no—
1066C22×C4—862no—
1067C22×C4—862no—
1068C22×C4—862no—
1069C22×C4—862no—
1070C22×C4—862no—
1071C22×C4—862no—
1072C22×C4—862no—
1073C22×C4—862no—
1074C22×C4—862no—
1075C22×C4—862no—
1076C22×C4—862no—
1077C22×C4C23×D4311yescharacteristic
1078C22×C4C23×D4311yescharacteristic
1079C22×C4C23×D4311yescharacteristic
1080C22×C4C23×D4311yescharacteristic
1081C22×C4C23×D4311yescharacteristic
1082C22×C4C23×D4311yescharacteristic
1083C22×C4C23×D4311yescharacteristic
1084C22×C4C23×D4311yescharacteristic
1085C22×C4C23×D4311yescharacteristic
1086C22×C4C23×D4311yescharacteristic
1087C22×C4C23×D4311yescharacteristic
1088C22×C4C23×D4311yescharacteristic
1089C22×C4C23×D4311yescharacteristic
1090C22×C4C23×D4311yescharacteristic
1091C22×C4C23×D4311yescharacteristic
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—862no—
1105C4⋊C4—862no—
1106C4⋊C4—862no—
1107C4⋊C4—862no—
1108C4⋊C4—862no—
1109C4⋊C4—862no—
1110C4⋊C4—862no—
1111C4⋊C4—862no—
1112C4⋊C4—862no—
1113C4⋊C4—862no—
1114C4⋊C4—862no—
1115C4⋊C4—862no—
1116C4⋊C4—862no—
1117C4⋊C4—862no—
1118C4⋊C4—862no—
1119C4⋊C4—862no—
1120C4⋊C4—862no—
1121C4⋊C4—862no—
1122C4⋊C4—862no—
1123C4⋊C4—862no—
1124C4⋊C4—862no—
1125C4⋊C4—862no—
1126C4⋊C4—862no—
1127C4⋊C4—862no—
1128C4⋊C4—1721no—
1129C4⋊C4—1721no—
1130C4⋊C4—1721no—
1131C4⋊C4—1721no—
1132C4⋊C4—1721no—
1133C4⋊C4—1721no—
1134C4⋊C4—1721no—
1135C4⋊C4—1721no—
1136C4⋊C4—1721no—
1137C4⋊C4—1721no—
1138C4⋊C4—1721no—
1139C4⋊C4—1721no—
1140C42—22no—
1141C42—41no—
1142C42—41no—
1143C42—862no—
1144C42—862no—
1145C42—862no—
1146C42—1721no—
1147C42—1721no—
1148C42—1721no—
1149C42—1721no—
1150C42—1721no—
1151C42—1721no—
1152C23—432no—
1153C23—432no—
1154C23—432no—
1155C23—432no—
1156C23—432no—
1157C23—432no—
1158C23—432no—
1159C23C24×D4311yescharacteristic
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—432no—
1203C2×C4—432no—
1204C2×C4—432no—
1205C2×C4—868no—
1206C2×C4—868no—
1207C2×C4—868no—
1208C2×C4—861no—
1209C2×C4—861no—
1210C2×C4—861no—
1211C2×C4—861no—
1212C2×C4—861no—
1213C2×C4—861no—
1214C2×C4—861no—
1215C2×C4—861no—
1216C2×C4—861no—
1217C2×C4—861no—
1218C2×C4—861no—
1219C2×C4—861no—
1220C2×C4—861no—
1221C2×C4—861no—
1222C2×C4—861no—
1223C2×C4—861no—
1224C2×C4—861no—
1225C2×C4—861no—
1226C2×C4—861no—
1227C2×C4—861no—
1228C2×C4—861no—
1229C2×C4—861no—
1230C2×C4—861no—
1231C2×C4—861no—
1232C2×C4—861no—
1233C2×C4—861no—
1234C2×C4—861no—
1235C2×C4—861no—
1236C2×C4—861no—
1237C2×C4—861no—
1238C2×C4—861no—
1239C2×C4—861no—
1240C2×C4—861no—
1241C2×C4—861no—
1242C2×C4—861no—
1243C2×C4—861no—
1244C2×C4—861no—
1245C2×C4—861no—
1246C2×C4—861no—
1247C2×C4—861no—
1248C2×C4—861no—
1249C2×C4—861no—
1250C2×C4—1724no—
1251C2×C4—1724no—
1252C2×C4—1724no—
1253C2×C4—1724no—
1254C2×C4—1724no—
1255C2×C4—1724no—
1256C2×C4—1724no—
1257C2×C4—1724no—
1258C2×C4—1724no—
1259C2×C4—1724no—
1260C2×C4—1724no—
1261C2×C4—1724no—
1262C2×C4#41×D4312yes—
1263C2×C4#41×D4312yes—
1264C2×C4#41×D4312yes—
1265C22—434no—
1266C22—434no—
1267C22—434no—
1268C22—434no—
1269C22—434no—
1270C22—434no—
1271C22—434no—
1272C22C2×#41×D4311yescharacteristic
1273C22C2×#41×D4311yescharacteristic
1274C22C2×#41×D4311yescharacteristic
1275C22H(5,𝔽2)×D4311yescharacteristic
1276C222−1+4×D4311yescharacteristic
1277C222−1+4×D4311yescharacteristic
1278C222−1+4×D4311yescharacteristic
1279C4—22no—
1280C4—22no—
1281C4—22no—
1282C4—41no—
1283C4—41no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—862no—
1295C4—862no—
1296C4—862no—
1297C4—1721no—
1298C4—1721no—
1299C4—1721no—
1300C4—1721no—
1301C4—1721no—
1302C4—1721no—
1303C4—1721no—
1304C4—1721no—
1305C4—1721no—
1306C4—1721no—
1307C4—1721no—
1308C4—1721no—
1309C2—438no—
1310C2#529×D4311yescharacteristic
1311C2#539×D4311yescharacteristic
1312C2#539×D4311yescharacteristic
1313C2#541×D4311yescharacteristic
1314C2#541×D4311yescharacteristic
1315C2#541×D4311yescharacteristic
1316C2#542×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2655C2
prime radicalC23×D43C24
hypercenter#2655D43
hypocenterC43C2×#2655
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2655

Complements

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

NH ≅ G/Ntype
1. #19140695C2semidirect
2. #19140694C2semidirect
3. #19140693C2semidirect
4. #19140692C2semidirect
5. #19140691C2semidirect
6. #19140690C2semidirect
7. #19140689C2semidirect
8. #19140688C2semidirect
9. #19140687C2semidirect
10. #19140686C2semidirect
11. #19140685C2semidirect
12. #19140684C2semidirect
13. #19140683C2semidirect
14. #19140682C2semidirect
15. #19140681C2semidirect
31. C43×#2655C2semidirect
666. #2655D43direct (N × H)
689. D43#2655direct (N × H)
845. C43C2×#2655semidirect

Maximal subgroups

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

subgroupindex
#191406952
#191406942
#191406932
#191406922
#191406912
#191406902
#191406892
#191406882
#191406872
#191406862
#191406852
#191406842
#191406832
#191406822
#191406812
#401×D432
#400×D432
#398×D432
#389×D432
#387×D432
C4×C4⋊C4×D432
C43×#26552
C2×#265543