Finite Group Databasebeta

← D43×#2554 #25266670

Subgroups — D43×#2554 #25266670

Order 11008.

3158 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D43C211yesmaximal, characteristic, complemented
2C2×#123×D43C211yesmaximal, characteristic, complemented
3#19139662C211yesmaximal, characteristic, complemented
4#19139661C211yesmaximal, characteristic, complemented
5#19139660C211yesmaximal, characteristic, complemented
6#19139659C211yesmaximal, characteristic, complemented
7#19139658C211yesmaximal, characteristic, complemented
8#19139657C211yesmaximal, characteristic, complemented
9#19139656C211yesmaximal, characteristic, complemented
10#19139655C211yesmaximal, characteristic, complemented
11#19139654C211yesmaximal, characteristic, complemented
12#19139653C211yesmaximal, characteristic, complemented
13#19139652C211yesmaximal, characteristic, complemented
14#19139651C211yesmaximal, characteristic, complemented
15#19139650C211yesmaximal, characteristic, complemented
16#19139649C211yesmaximal, characteristic, complemented
17#19139648C211yesmaximal, characteristic, complemented
18#398×D43C211yesmaximal, characteristic, complemented
19#396×D43C211yesmaximal, characteristic, complemented
20#394×D43C211yesmaximal, characteristic, complemented
21#392×D43C211yesmaximal, characteristic
22#390×D43C211yesmaximal, characteristic, complemented
23#390×D43C211yesmaximal, characteristic, complemented
24#390×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic, complemented
26#388×D43C211yesmaximal, characteristic, complemented
27#388×D43C211yesmaximal, characteristic, complemented
28#386×D43C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2554C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063320C2211yescharacteristic, complemented
38C2×#13063320C2211yescharacteristic, complemented
39C2×#13063319C2211yescharacteristic, complemented
40C2×#13063318C2211yescharacteristic, complemented
41C2×#13063318C2211yescharacteristic, complemented
42C2×#13063318C2211yescharacteristic, complemented
43#126×D43—28no—
44C2×#13063310C2211yescharacteristic, complemented
45C2×#13063310C2211yescharacteristic, complemented
46C2×#13063309C2211yescharacteristic, complemented
47C2×#13063308C2211yescharacteristic, complemented
48C2×#13063307C2211yescharacteristic, complemented
49C2×#13063307C2211yescharacteristic, complemented
50C2×#13063306C2211yescharacteristic, complemented
51#123×D43—28no—
52C2×C4⋊C4×D43C2211yescharacteristic
53C2×C4⋊C4×D43C2211yescharacteristic
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C22⋊C4×D43C2211yescharacteristic
71C2×C22⋊C4×D43C2211yescharacteristic
72C2×C22⋊C4×D43C2211yescharacteristic
73C2×C42×D43C2211yescharacteristic
74C2×C42×D43C2211yescharacteristic
75C2×C42×D43C2211yescharacteristic
76C2×C42×D43C2211yescharacteristic
77#14582833C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582831C2211yescharacteristic, complemented
82#14582830C2211yescharacteristic, complemented
83#14582829C2211yescharacteristic, complemented
84#14582823C2211yescharacteristic, complemented
85#14582822C2211yescharacteristic, complemented
86#14582822C2211yescharacteristic, complemented
87#14582822C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582821C2211yescharacteristic, complemented
90#14582821C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic, complemented
92#14582816C2211yescharacteristic, complemented
93#14582815C2211yescharacteristic, complemented
94#14582815C2211yescharacteristic, complemented
95#14582814C2211yescharacteristic, complemented
96#14582814C2211yescharacteristic, complemented
97#14582813C2211yescharacteristic, complemented
98#14582809C2211yescharacteristic
99#14582808C2211yescharacteristic
100#14582808C2211yescharacteristic
101#14582808C2211yescharacteristic
102#14582807C2211yescharacteristic
103#14582807C2211yescharacteristic
104#14582807C2211yescharacteristic
105#14582802C2211yescharacteristic, complemented
106#14582802C2211yescharacteristic, complemented
107#14582802C2211yescharacteristic, complemented
108#14582801C2211yescharacteristic, complemented
109#14582801C2211yescharacteristic, complemented
110#14582801C2211yescharacteristic, complemented
111#14582800C2211yescharacteristic, complemented
112#14582800C2211yescharacteristic, complemented
113#14582800C2211yescharacteristic, complemented
114#14582799C2211yescharacteristic, complemented
115#14582799C2211yescharacteristic, complemented
116#14582799C2211yescharacteristic, complemented
117#14582799C2211yescharacteristic, complemented
118#14582799C2211yescharacteristic, complemented
119#14582799C2211yescharacteristic, complemented
120#14582799C2211yescharacteristic, complemented
121#14582799C2211yescharacteristic, complemented
122#14582799C2211yescharacteristic, complemented
123#14582799C2211yescharacteristic, complemented
124#14582799C2211yescharacteristic, complemented
125#14582799C2211yescharacteristic, complemented
126#14582793C2211yescharacteristic, complemented
127#14582793C2211yescharacteristic, complemented
128#14582793C2211yescharacteristic, complemented
129#14582792C2211yescharacteristic, complemented
130#14582792C2211yescharacteristic, complemented
131#14582792C2211yescharacteristic, complemented
132#14582791C2211yescharacteristic, complemented
133#14582791C2211yescharacteristic, complemented
134#14582791C2211yescharacteristic, complemented
135#14582790C2211yescharacteristic, complemented
136#14582790C2211yescharacteristic, complemented
137#14582790C2211yescharacteristic, complemented
138#14582789C2211yescharacteristic, complemented
139#14582789C2211yescharacteristic, complemented
140#14582789C2211yescharacteristic, complemented
141#14582788C2211yescharacteristic, complemented
142#14582788C2211yescharacteristic, complemented
143#14582788C2211yescharacteristic, complemented
144#14582787C2211yescharacteristic, complemented
145#14582787C2211yescharacteristic, complemented
146#14582787C2211yescharacteristic, complemented
147#14582779C2211yescharacteristic, complemented
148#14582778C2211yescharacteristic, complemented
149#14582777C2211yescharacteristic, complemented
150#14582777C2211yescharacteristic, complemented
151#14582776C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154C4⋊C4×Dic43C2211yescharacteristic, complemented
155C4⋊C4×Dic43C2211yescharacteristic, complemented
156C4×Dic43⋊C4C2211yescharacteristic, complemented
157C4×Dic43⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic43C2211yescharacteristic, complemented
159#14582750C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161C22⋊C4×Dic43C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic, complemented
163C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic43C2211yescharacteristic, complemented
166#14582746C2211yescharacteristic, complemented
167#14582746C2211yescharacteristic, complemented
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#126×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic, complemented
176C43×#398C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#390C2211yescharacteristic, complemented
181C43×#390C2211yescharacteristic, complemented
182C43×#390C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#388C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic, complemented
187C4×C4⋊C4×C43C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C2×D4×D43—24no—
202C2×D4×D43—24no—
203C2×D4×D43—24no—
204C2×D4×D43—24no—
205C2×D4×D43—24no—
206C2×D4×D43—42no—
207C2×D4×D43—42no—
208C2×D4×D43—42no—
209C2×D4×D43—42no—
210C23×Dic43C2311yescharacteristic
211C22×C4×D43—24no—
212C22×C4×D43—24no—
213C22×C4×D43—42no—
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228#13063320—24no—
229#13063320—24no—
230#13063320—24no—
231#13063319—24no—
232#13063318—24no—
233#13063318—24no—
234#13063318—24no—
235#13063310—24no—
236#13063310—24no—
237#13063309—24no—
238#13063308—24no—
239#13063307—24no—
240#13063307—24no—
241#13063306—24no—
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C4⋊C4×D43—24no—
264C4⋊C4×D43—24no—
265C4⋊C4×D43—24no—
266C4⋊C4×D43—24no—
267C4⋊C4×D43—42no—
268C4⋊C4×D43—42no—
269C4⋊C4×D43D418yescomplemented
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C22⋊C4×D43—24no—
313C22⋊C4×D43—24no—
314C22⋊C4×D43—24no—
315C22⋊C4×D43—24no—
316C22⋊C4×D43—24no—
317C22⋊C4×D43—24no—
318C22⋊C4×D43—24no—
319C22⋊C4×D43—24no—
320C22⋊C4×D43—24no—
321C22⋊C4×D43—24no—
322C22⋊C4×D43—24no—
323C22⋊C4×D43—42no—
324C22⋊C4×D43—42no—
325C22⋊C4×D43—42no—
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C2×C4×Dic43C2311yescharacteristic
330C2×C4×Dic43C2311yescharacteristic
331C2×C4×Dic43C2311yescharacteristic
332C2×C4×Dic43C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
338C42×D43—24no—
339C42×D43—24no—
340C42×D43—42no—
341C42×D43—42no—
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364#126×C43—24no—
365#123×C43—24no—
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C42×C43C2311yescharacteristic
388C2×C42×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—22no—
407C23×D43—22no—
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—22no—
413C23×D43—22no—
414C23×D43—22no—
415C23×D43—22no—
416C23×D43—22no—
417C23×D43—22no—
418C23×D43—22no—
419C23×D43—22no—
420C23×D43#4114yes—
421C23×D43C2411yescharacteristic
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C2×D4×C43—22no—
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—41no—
431C2×D4×C43—41no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—41no—
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—41no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C22×Dic43—22no—
468C22×Dic43—22no—
469C22×Dic43—41no—
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482D4×D43—416no—
483D4×D43—416no—
484D4×D43—416no—
485C2×D172—22no—
486C2×D172—22no—
487C2×D172—22no—
488C2×D172—22no—
489C2×D172—22no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172—41no—
493C2×D172—41no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—416no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43C2×D414yes—
532C2×C4×D43C2×D414yes—
533C2×C4×D43C2×D414yes—
534C2×C4×D43#4114yes—
535C2×C4×D43#4114yes—
536C2×C4×D43#4114yes—
537C4⋊C4×C43—22no—
538C4⋊C4×C43—22no—
539C4⋊C4×C43—22no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—41no—
542C4⋊C4×C43—41no—
543C4⋊C4×C43C2×D414yescomplemented
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C42×C43—22no—
559C42×C43—22no—
560C42×C43—41no—
561C42×C43—41no—
562C22⋊Dic43—22no—
563C22⋊Dic43—22no—
564C22⋊Dic43—22no—
565C22⋊Dic43—22no—
566C22⋊Dic43—22no—
567C22⋊Dic43—22no—
568C22⋊Dic43—22no—
569C22⋊Dic43—22no—
570C22⋊Dic43—22no—
571C22⋊Dic43—22no—
572C22⋊Dic43—22no—
573C22⋊Dic43—41no—
574C22⋊Dic43—41no—
575C22⋊Dic43—41no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604C4⋊Dic43—22no—
605C4⋊Dic43—22no—
606C4⋊Dic43—22no—
607C4⋊Dic43—22no—
608C4⋊Dic43—41no—
609C4⋊Dic43—41no—
610C4⋊Dic43C2×D414yescomplemented
611Dic43⋊C4—22no—
612Dic43⋊C4—22no—
613Dic43⋊C4—22no—
614Dic43⋊C4—22no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622Dic43⋊C4—41no—
623Dic43⋊C4C2×D414yescomplemented
624Dic43⋊C4C2×D414yescomplemented
625C4×Dic43—22no—
626C4×Dic43—22no—
627C4×Dic43—22no—
628C4×Dic43—22no—
629C4×Dic43—22no—
630C4×Dic43—22no—
631C4×Dic43—41no—
632C4×Dic43—41no—
633C4×Dic43—41no—
634C4×Dic43—41no—
635C4×Dic43—41no—
636C4×Dic43—41no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43C2×#4112yes—
658C23×C43C2511yescharacteristic
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—28no—
666C22×D43—28no—
667C22×D43—28no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—44no—
683C22×D43—44no—
684C22×D43—44no—
685C22×D43—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—44no—
694C22×D43—44no—
695C22×D43—44no—
696C22×D43—44no—
697C22×D43—44no—
698C22×D43—44no—
699C22×D43—44no—
700C22×D43C22×D412yes—
701C22×D43C2×#4112yes—
702C22×D43C2×#4112yes—
703C22×D43C2×#4112yes—
704C22×D43C2×#4112yes—
705C22×D43C2×#4112yes—
706C22×D43H(5,𝔽2)12yes—
707C22×D43H(5,𝔽2)12yes—
708D4×C43—44no—
709D4×C43—44no—
710D4×C43—44no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—44no—
742C2×C4×C43C22×D412yes—
743C2×C4×C43C22×D412yes—
744C2×C4×C43C22×D412yes—
745C2×C4×C43C2×#4112yes—
746C2×C4×C43C2×#4112yes—
747C2×C4×C43C2×#4112yes—
748C22⋊D43—44no—
749C22⋊D43—44no—
750C22⋊D43—44no—
751C22⋊D43—44no—
752C22⋊D43—44no—
753C22⋊D43—44no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—44no—
785C2×Dic43C22×D412yes—
786C2×Dic43C22×D412yes—
787C2×Dic43C22×D412yes—
788C2×Dic43C2×#4112yes—
789C2×Dic43C2×#4112yes—
790C2×Dic43C2×#4112yes—
791D172—44no—
792D172—44no—
793D172—44no—
794C4×D43—28no—
795C4×D43—28no—
796C4×D43—28no—
797C4×D43—28no—
798C4×D43—28no—
799C4×D43—28no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—44no—
803C4×D43—44no—
804C4×D43—44no—
805C4×D43—44no—
806C4×D43—44no—
807C4×D43—44no—
808C2×#2554—431nomaximal, Sylow
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43C23×D411yescharacteristic
831C22×C43C22×#4111yescharacteristic
832C22×C43C22×#4111yescharacteristic
833C22×C43C22×#4111yescharacteristic
834C22×C43C22×#4111yescharacteristic
835C22×C43C2×H(5,𝔽2)11yescharacteristic
836C22×C43C2×H(5,𝔽2)11yescharacteristic
837C2×D43—22no—
838C2×D43—22no—
839C2×D43—22no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—416no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—88no—
860C2×D43—88no—
861C2×D43#52914yes—
862C2×D43#53214yes—
863C2×D43#53814yes—
864C2×D43#54614yes—
865C2×D43#55014yes—
866C2×D43#55114yes—
867C2×D43#55314yes—
868C4×C43—22no—
869C4×C43—22no—
870C4×C43—22no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880Dic43—22no—
881Dic43—22no—
882Dic43—22no—
883Dic43—22no—
884Dic43—22no—
885Dic43—22no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892C22×#126—431no—
893C22×#123—431no—
894#2554—431no—
895#2554—431no—
896#2554—431no—
897#2554—431no—
898#2554—431no—
899#2554—431no—
900#2554—431no—
901#2554—431no—
902#2554—431no—
903#2554—431no—
904#2554—431no—
905#2554—431no—
906#2554—431no—
907#2554—431no—
908#2554—431no—
909#2554D4311yescharacteristic, direct product factor
910C2×#398—431no—
911C2×#396—431no—
912C2×#394—431no—
913C2×#392—431no—
914C2×#390—431no—
915C2×#390—431no—
916C2×#390—431no—
917C2×#388—431no—
918C2×#388—431no—
919C2×#388—431no—
920C2×#386—431no—
921C2×C4×C4⋊C4—431no—
922C2×C4×C22⋊C4—431no—
923C2×C43—42no—
924C2×C43—81no—
925C2×C43—81no—
926C2×C43C2×#52911yescharacteristic
927C2×C43C2×#53211yescharacteristic
928C2×C43C2×#53811yescharacteristic
929C2×C43C2×#54611yescharacteristic
930C2×C43C2×#55011yescharacteristic
931C2×C43C2×#55111yescharacteristic
932C2×C43C2×#55311yescharacteristic
933D43—42no—
934D43—81no—
935D43—81no—
936D43#255418yesdirect product factor
937C23×D4—431no—
938C23×D4—431no—
939C23×D4—431no—
940C24×C4—431no—
941C2×#126—431no—
942C2×#126—431no—
943C2×#126—431no—
944C2×#126—431no—
945C2×#126—431no—
946C2×#126—431no—
947C2×#126—431no—
948C2×#126—868no—
949C2×#126C2×D4311yescharacteristic, complemented
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123—431no—
955C2×#123—431no—
956C2×#123—431no—
957C2×#123—868no—
958C2×#123C2×D4311yescharacteristic, complemented
959C22×C4⋊C4—431no—
960C22×C4⋊C4—431no—
961C22×C4⋊C4—431no—
962C22×C4⋊C4—431no—
963C22×C4⋊C4—431no—
964C22×C4⋊C4—431no—
965C22×C4⋊C4—431no—
966C22×C22⋊C4—431no—
967C22×C22⋊C4—431no—
968C22×C22⋊C4—431no—
969C22×C22⋊C4—431no—
970C22×C22⋊C4—431no—
971C22×C22⋊C4—431no—
972C22×C22⋊C4—431no—
973C22×C22⋊C4—431no—
974C22×C22⋊C4—431no—
975C22×C22⋊C4—431no—
976C22×C22⋊C4—431no—
977C22×C22⋊C4—431no—
978C22×C22⋊C4—431no—
979C22×C22⋊C4—431no—
980C22×C42—431no—
981C22×C42—431no—
982C22×C42—431no—
983C22×C42—431no—
984#398—431no—
985#398—431no—
986#398—431no—
987#398—431no—
988#398—431no—
989#398—431no—
990#398—431no—
991#398C2×D4311yescharacteristic, complemented
992#396—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#396C2×D4311yescharacteristic, complemented
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394C2×D4311yescharacteristic, complemented
1008#392—431no—
1009#392—431no—
1010#392—431no—
1011#392—431no—
1012#392—431no—
1013#392—431no—
1014#392—431no—
1015#392C2×D4311yescharacteristic
1016#390—431no—
1017#390—431no—
1018#390—431no—
1019#390—431no—
1020#390—431no—
1021#390—431no—
1022#390—431no—
1023#390—431no—
1024#390—431no—
1025#390—431no—
1026#390—431no—
1027#390—431no—
1028#390—431no—
1029#390—431no—
1030#390—431no—
1031#390—431no—
1032#390—431no—
1033#390—431no—
1034#390—431no—
1035#390—431no—
1036#390—431no—
1037#390C2×D4311yescharacteristic, complemented
1038#390C2×D4311yescharacteristic, complemented
1039#390C2×D4311yescharacteristic, complemented
1040#388—431no—
1041#388—431no—
1042#388—431no—
1043#388—431no—
1044#388—431no—
1045#388—431no—
1046#388—431no—
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#388C2×D4311yescharacteristic, complemented
1062#388C2×D4311yescharacteristic, complemented
1063#388C2×D4311yescharacteristic, complemented
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386C2×D4311yescharacteristic, complemented
1072C4×C4⋊C4—431no—
1073C4×C4⋊C4—431no—
1074C4×C4⋊C4—431no—
1075C4×C4⋊C4—431no—
1076C4×C4⋊C4—431no—
1077C4×C4⋊C4—431no—
1078C4×C4⋊C4—431no—
1079C4×C4⋊C4C2×D4311yescharacteristic, complemented
1080C4×C22⋊C4—431no—
1081C4×C22⋊C4—431no—
1082C4×C22⋊C4—431no—
1083C4×C22⋊C4—431no—
1084C4×C22⋊C4—431no—
1085C4×C22⋊C4—431no—
1086C4×C22⋊C4—431no—
1087C4×C22⋊C4C2×D4311yescharacteristic, complemented
1088C2×#95—431no—
1089C2×#95—431no—
1090C2×#95—431no—
1091C2×#95—431no—
1092C2×#95—431no—
1093C2×#95—431no—
1094C43C2×#255411yescharacteristic, complemented, Sylow
1095C25—431no—
1096C25—431no—
1097C25—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—431no—
1104C22×D4—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—864no—
1108C22×D4—864no—
1109C22×D4—864no—
1110C22×D4—864no—
1111C22×D4—864no—
1112C22×D4—1722no—
1113C22×D4—1722no—
1114C22×D4—1722no—
1115C22×D4—1722no—
1116C22×D4C22×D4311yescharacteristic
1117C22×D4C22×D4311yescharacteristic
1118C22×D4C22×D4311yescharacteristic
1119C23×C4—431no—
1120C23×C4—431no—
1121C23×C4—431no—
1122C23×C4—431no—
1123C23×C4—431no—
1124C23×C4—431no—
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—864no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4C22×D4311yescharacteristic
1138#126—24no—
1139#126—864no—
1140#126—864no—
1141#126—864no—
1142#126—864no—
1143#126—864no—
1144#126—864no—
1145#126—864no—
1146#123—24no—
1147#123—864no—
1148#123—864no—
1149#123—864no—
1150#123—864no—
1151#123—864no—
1152#123—864no—
1153#123—864no—
1154C2×C4⋊C4—431no—
1155C2×C4⋊C4—431no—
1156C2×C4⋊C4—431no—
1157C2×C4⋊C4—438no—
1158C2×C4⋊C4—431no—
1159C2×C4⋊C4—431no—
1160C2×C4⋊C4—431no—
1161C2×C4⋊C4—431no—
1162C2×C4⋊C4—431no—
1163C2×C4⋊C4—431no—
1164C2×C4⋊C4—431no—
1165C2×C4⋊C4—431no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—431no—
1168C2×C4⋊C4—431no—
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—864no—
1177C2×C4⋊C4—864no—
1178C2×C4⋊C4—864no—
1179C2×C4⋊C4—864no—
1180C2×C4⋊C4—1722no—
1181C2×C4⋊C4—1722no—
1182C2×C4⋊C4C22×D4311yescharacteristic
1183C2×C4⋊C4C22×D4311yescharacteristic
1184C2×C4⋊C4C22×D4311yescharacteristic
1185C2×C4⋊C4C22×D4311yescharacteristic
1186C2×C4⋊C4C22×D4311yescharacteristic
1187C2×C4⋊C4C22×D4311yescharacteristic
1188C2×C4⋊C4C22×D4311yescharacteristic
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—864no—
1232C2×C22⋊C4—864no—
1233C2×C22⋊C4—864no—
1234C2×C22⋊C4—864no—
1235C2×C22⋊C4—864no—
1236C2×C22⋊C4—864no—
1237C2×C22⋊C4—864no—
1238C2×C22⋊C4—864no—
1239C2×C22⋊C4—864no—
1240C2×C22⋊C4—864no—
1241C2×C22⋊C4—864no—
1242C2×C22⋊C4—1722no—
1243C2×C22⋊C4—1722no—
1244C2×C22⋊C4—1722no—
1245C2×C22⋊C4C22×D4311yescharacteristic
1246C2×C22⋊C4C22×D4311yescharacteristic
1247C2×C22⋊C4C22×D4311yescharacteristic
1248C2×C22⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4C22×D4311yescharacteristic
1250C2×C22⋊C4C22×D4311yescharacteristic
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C42—431no—
1260C2×C42—431no—
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42—431no—
1264C2×C42—431no—
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—431no—
1268C2×C42—431no—
1269C2×C42—431no—
1270C2×C42—431no—
1271C2×C42—864no—
1272C2×C42—864no—
1273C2×C42—1722no—
1274C2×C42—1722no—
1275C2×C42C22×D4311yescharacteristic
1276C2×C42C22×D4311yescharacteristic
1277C2×C42C22×D4311yescharacteristic
1278C2×C42C22×D4311yescharacteristic
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95—431no—
1293#95—431no—
1294#95—431no—
1295#95—431no—
1296#95—431no—
1297#95C22×D4311yescharacteristic
1298#95C22×D4311yescharacteristic
1299#95C22×D4311yescharacteristic
1300#95C22×D4311yescharacteristic
1301#95C22×D4311yescharacteristic
1302#95C22×D4311yescharacteristic
1303C24—431no—
1304C24—434no—
1305C24—431no—
1306C24—431no—
1307C24—431no—
1308C24—862no—
1309C24—862no—
1310C24—862no—
1311C24—862no—
1312C24—862no—
1313C24—862no—
1314C24—862no—
1315C24—862no—
1316C24—862no—
1317C24—862no—
1318C24—862no—
1319C24—862no—
1320C24—862no—
1321C24—862no—
1322C24—862no—
1323C24—862no—
1324C24—862no—
1325C24—862no—
1326C24—862no—
1327C24—862no—
1328C24C23×D4311yescharacteristic
1329C24C23×D4311yescharacteristic
1330C24C23×D4311yescharacteristic
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—17216no—
1360C2×D4—17216no—
1361C2×D4—17216no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—41no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—434no—
1380C22×C4—434no—
1381C22×C4—434no—
1382C22×C4—434no—
1383C22×C4—434no—
1384C22×C4—434no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—862no—
1392C22×C4—862no—
1393C22×C4—862no—
1394C22×C4—862no—
1395C22×C4—862no—
1396C22×C4—862no—
1397C22×C4—862no—
1398C22×C4—862no—
1399C22×C4—862no—
1400C22×C4—862no—
1401C22×C4—862no—
1402C22×C4—862no—
1403C22×C4—862no—
1404C22×C4—862no—
1405C22×C4—862no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—862no—
1414C22×C4—862no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—862no—
1423C22×C4—862no—
1424C22×C4—862no—
1425C22×C4—862no—
1426C22×C4—862no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—17216no—
1430C22×C4—1721no—
1431C22×C4C23×D4311yescharacteristic
1432C22×C4C23×D4311yescharacteristic
1433C22×C4C23×D4311yescharacteristic
1434C22×C4C23×D4311yescharacteristic
1435C22×C4C23×D4311yescharacteristic
1436C22×C4C23×D4311yescharacteristic
1437C22×C4C23×D4311yescharacteristic
1438C22×C4C23×D4311yescharacteristic
1439C22×C4C23×D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—434no—
1450C4⋊C4—434no—
1451C4⋊C4—434no—
1452C4⋊C4—862no—
1453C4⋊C4—862no—
1454C4⋊C4—862no—
1455C4⋊C4—862no—
1456C4⋊C4—862no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—1721no—
1465C4⋊C4—1721no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4D4×D4314yescomplemented
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—862no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—862no—
1509C22⋊C4—862no—
1510C22⋊C4—862no—
1511C22⋊C4—862no—
1512C22⋊C4—862no—
1513C22⋊C4—862no—
1514C22⋊C4—862no—
1515C22⋊C4—862no—
1516C22⋊C4—862no—
1517C22⋊C4—862no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C42—22no—
1528C42—22no—
1529C42—41no—
1530C42—41no—
1531C42—862no—
1532C42—862no—
1533C42—862no—
1534C42—862no—
1535C42—862no—
1536C42—862no—
1537C42—1721no—
1538C42—1721no—
1539C42—1721no—
1540C42—1721no—
1541C42—1721no—
1542C42—1721no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—432no—
1564C23—432no—
1565C23—432no—
1566C23—432no—
1567C23—432no—
1568C23—432no—
1569C23—432no—
1570C23—432no—
1571C23—868no—
1572C23—868no—
1573C23—868no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—1724no—
1595C23—1724no—
1596C23—1724no—
1597C23—1724no—
1598C23—1724no—
1599C23—1724no—
1600C23—1724no—
1601C23—1724no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23—1724no—
1609C23—1724no—
1610C23—1724no—
1611C23—1724no—
1612C23#41×D4312yes—
1613C23C24×D4311yescharacteristic
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—1724no—
1618D4—1724no—
1619D4—1724no—
1620D4—1724no—
1621D4—1724no—
1622D4—1724no—
1623D4—1724no—
1624D4—1724no—
1625D4—1724no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—44no—
1657C2×C4—432no—
1658C2×C4—432no—
1659C2×C4—432no—
1660C2×C4—432no—
1661C2×C4—432no—
1662C2×C4—432no—
1663C2×C4—868no—
1664C2×C4—868no—
1665C2×C4—868no—
1666C2×C4—868no—
1667C2×C4—868no—
1668C2×C4—868no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—1724no—
1700C2×C4—1724no—
1701C2×C4—1724no—
1702C2×C4—1724no—
1703C2×C4—1724no—
1704C2×C4—1724no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4C2×D4×D4312yes—
1709C2×C4C2×D4×D4312yes—
1710C2×C4C2×D4×D4312yes—
1711C2×C4#41×D4312yes—
1712C2×C4#41×D4312yes—
1713C2×C4#41×D4312yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—434no—
1736C22—434no—
1737C22—434no—
1738C22—434no—
1739C22—434no—
1740C22—434no—
1741C22—434no—
1742C22—862no—
1743C22—862no—
1744C22—862no—
1745C22—3448no—
1746C22—3448no—
1747C22—17216no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22C22×D4×D4311yescharacteristic
1767C22C2×#41×D4311yescharacteristic
1768C22C2×#41×D4311yescharacteristic
1769C22C2×#41×D4311yescharacteristic
1770C22C2×#41×D4311yescharacteristic
1771C22H(5,𝔽2)×D4311yescharacteristic
1772C22H(5,𝔽2)×D4311yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—862no—
1786C4—862no—
1787C4—862no—
1788C4—862no—
1789C4—862no—
1790C4—862no—
1791C4—1721no—
1792C4—1721no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C4—1721no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—438no—
1801C2—3441no—
1802C2—3441no—
1803C2—1722no—
1804C2#529×D4311yescharacteristic
1805C2#532×D4311yescharacteristic
1806C2#538×D4311yescharacteristic
1807C2#546×D4311yescharacteristic
1808C2#550×D4311yescharacteristic
1809C2#551×D4311yescharacteristic
1810C2#553×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2554C2
prime radical#392×D43C2
hypercenter#2554D43
hypocenterC43C2×#2554
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. C2×#126×D43C2semidirect
2. C2×#123×D43C2semidirect
3. #19139662C2semidirect
4. #19139661C2semidirect
5. #19139660C2semidirect
6. #19139659C2semidirect
7. #19139658C2semidirect
8. #19139657C2semidirect
9. #19139656C2semidirect
10. #19139655C2semidirect
11. #19139654C2semidirect
12. #19139653C2semidirect
13. #19139652C2semidirect
14. #19139651C2semidirect
15. #19139650C2semidirect
16. #19139649C2semidirect
17. #19139648C2semidirect
18. #398×D43C2semidirect
19. #396×D43C2semidirect
20. #394×D43C2semidirect
22. #390×D43C2semidirect
23. #390×D43C2semidirect
24. #390×D43C2semidirect
25. #388×D43C2semidirect
26. #388×D43C2semidirect
27. #388×D43C2semidirect
28. #386×D43C2semidirect
29. C4×C4⋊C4×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2554C2semidirect
36. C2×#13063320C22semidirect
37. C2×#13063320C22semidirect
38. C2×#13063320C22semidirect
39. C2×#13063319C22semidirect
40. C2×#13063318C22semidirect
41. C2×#13063318C22semidirect
42. C2×#13063318C22semidirect
44. C2×#13063310C22semidirect
45. C2×#13063310C22semidirect
46. C2×#13063309C22semidirect
47. C2×#13063308C22semidirect
48. C2×#13063307C22semidirect
49. C2×#13063307C22semidirect
50. C2×#13063306C22semidirect
77. #14582833C22semidirect
78. #14582833C22semidirect
79. #14582832C22semidirect
80. #14582832C22semidirect
81. #14582831C22semidirect
82. #14582830C22semidirect
83. #14582829C22semidirect
84. #14582823C22semidirect
85. #14582822C22semidirect
86. #14582822C22semidirect
87. #14582822C22semidirect
88. #14582821C22semidirect
89. #14582821C22semidirect
90. #14582821C22semidirect
91. #14582817C22semidirect
92. #14582816C22semidirect
93. #14582815C22semidirect
94. #14582815C22semidirect
95. #14582814C22semidirect
96. #14582814C22semidirect
97. #14582813C22semidirect
105. #14582802C22semidirect
106. #14582802C22semidirect
107. #14582802C22semidirect
108. #14582801C22semidirect
109. #14582801C22semidirect
110. #14582801C22semidirect
111. #14582800C22semidirect
112. #14582800C22semidirect
113. #14582800C22semidirect
114. #14582799C22semidirect
115. #14582799C22semidirect
116. #14582799C22semidirect
117. #14582799C22semidirect
118. #14582799C22semidirect
119. #14582799C22semidirect
120. #14582799C22semidirect
121. #14582799C22semidirect
122. #14582799C22semidirect
123. #14582799C22semidirect
124. #14582799C22semidirect
125. #14582799C22semidirect
126. #14582793C22semidirect
127. #14582793C22semidirect
128. #14582793C22semidirect
129. #14582792C22semidirect
130. #14582792C22semidirect
131. #14582792C22semidirect
132. #14582791C22semidirect
133. #14582791C22semidirect
134. #14582791C22semidirect
135. #14582790C22semidirect
136. #14582790C22semidirect
137. #14582790C22semidirect
138. #14582789C22semidirect
139. #14582789C22semidirect
140. #14582789C22semidirect
141. #14582788C22semidirect
142. #14582788C22semidirect
143. #14582788C22semidirect
144. #14582787C22semidirect
145. #14582787C22semidirect
146. #14582787C22semidirect
147. #14582779C22semidirect
148. #14582778C22semidirect
149. #14582777C22semidirect
150. #14582777C22semidirect
151. #14582776C22semidirect
152. #14582775C22semidirect
153. #14582775C22semidirect
154. C4⋊C4×Dic43C22semidirect
155. C4⋊C4×Dic43C22semidirect
156. C4×Dic43⋊C4C22semidirect
157. C4×Dic43⋊C4C22semidirect
158. C4×C4⋊Dic43C22semidirect
159. #14582750C22semidirect
160. #14582750C22semidirect
161. C22⋊C4×Dic43C22semidirect
162. C22⋊C4×Dic43C22semidirect
163. C4×(C2×D43)⋊C4C22semidirect
164. C4×(C2×D43)⋊C4C22semidirect
165. C4×C22⋊Dic43C22semidirect
166. #14582746C22semidirect
167. #14582746C22semidirect
174. C2×#126×C43C22semidirect
175. C2×#123×C43C22semidirect
176. C43×#398C22semidirect
177. C43×#396C22semidirect
178. C43×#394C22semidirect
180. C43×#390C22semidirect
181. C43×#390C22semidirect
182. C43×#390C22semidirect
183. C43×#388C22semidirect
184. C43×#388C22semidirect
185. C43×#388C22semidirect
186. C43×#386C22semidirect
187. C4×C4⋊C4×C43C22semidirect
188. C4×C22⋊C4×C43C22semidirect
269. C4⋊C4×D43D4semidirect
543. C4⋊C4×C43C2×D4semidirect
610. C4⋊Dic43C2×D4semidirect
623. Dic43⋊C4C2×D4semidirect
624. Dic43⋊C4C2×D4semidirect
909. #2554D43direct (N × H)
936. D43#2554direct (N × H)
949. C2×#126C2×D43semidirect
958. C2×#123C2×D43semidirect
991. #398C2×D43semidirect
999. #396C2×D43semidirect
1007. #394C2×D43semidirect
1037. #390C2×D43semidirect
1038. #390C2×D43semidirect
1039. #390C2×D43semidirect
1061. #388C2×D43semidirect
1062. #388C2×D43semidirect
1063. #388C2×D43semidirect
1071. #386C2×D43semidirect
1079. C4×C4⋊C4C2×D43semidirect
1087. C4×C22⋊C4C2×D43semidirect
1094. C43C2×#2554semidirect
1470. C4⋊C4D4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D432
C2×#123×D432
#191396622
#191396612
#191396602
#191396592
#191396582
#191396572
#191396562
#191396552
#191396542
#191396532
#191396522
#191396512
#191396502
#191396492
#191396482
#398×D432
#396×D432
#394×D432
#392×D432
#390×D432
#388×D432
#386×D432
C4×C4⋊C4×D432
C4×C22⋊C4×D432
C43×#25542
C2×#255443