Finite Group Databasebeta

← D43×#2505 #25265539

Subgroups — D43×#2505 #25265539

Order 11008.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19139103C211yesmaximal, characteristic, complemented
2#19139102C211yesmaximal, characteristic, complemented
3#19139101C211yesmaximal, characteristic, complemented
4#19139100C211yesmaximal, characteristic, complemented
5#19139099C211yesmaximal, characteristic, complemented
6#19139098C211yesmaximal, characteristic, complemented
7#19139097C211yesmaximal, characteristic, complemented
8#19139096C211yesmaximal, characteristic, complemented
9#19139095C211yesmaximal, characteristic, complemented
10#19139094C211yesmaximal, characteristic, complemented
11#19139093C211yesmaximal, characteristic, complemented
12#19139092C211yesmaximal, characteristic, complemented
13#19139091C211yesmaximal, characteristic, complemented
14#19139090C211yesmaximal, characteristic, complemented
15#19139089C211yesmaximal, characteristic, complemented
16#400×D43C211yesmaximal, characteristic, complemented
17#400×D43C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#398×D43C211yesmaximal, characteristic, complemented
20#389×D43C211yesmaximal, characteristic, complemented
21#387×D43C211yesmaximal, characteristic, complemented
22#387×D43C211yesmaximal, characteristic, complemented
23#385×D43C211yesmaximal, characteristic
24#385×D43C211yesmaximal, characteristic
25#385×D43C211yesmaximal, characteristic
26#385×D43C211yesmaximal, characteristic
27#382×D43C211yesmaximal, characteristic, complemented
28#380×D43C211yesmaximal, characteristic
29C4×C22⋊C4×D43C211yesmaximal, characteristic
30C2×#95×D43C211yesmaximal, characteristic
31C43×#2505C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×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×C4⋊C4×D43C2211yescharacteristic
45C2×C22⋊C4×D43C2211yescharacteristic
46C2×C22⋊C4×D43C2211yescharacteristic
47C2×C22⋊C4×D43C2211yescharacteristic
48C2×C22⋊C4×D43C2211yescharacteristic
49C2×C42×D43C2211yescharacteristic
50C2×C42×D43C2211yescharacteristic
51#14582841C2211yescharacteristic, complemented
52#14582841C2211yescharacteristic, complemented
53#14582841C2211yescharacteristic, complemented
54#14582841C2211yescharacteristic, complemented
55#14582841C2211yescharacteristic, complemented
56#14582841C2211yescharacteristic, complemented
57#14582840C2211yescharacteristic, complemented
58#14582840C2211yescharacteristic, complemented
59#14582840C2211yescharacteristic, complemented
60#14582840C2211yescharacteristic, complemented
61#14582840C2211yescharacteristic, complemented
62#14582840C2211yescharacteristic, complemented
63#14582839C2211yescharacteristic, complemented
64#14582839C2211yescharacteristic, complemented
65#14582839C2211yescharacteristic, complemented
66#14582838C2211yescharacteristic, complemented
67#14582838C2211yescharacteristic, complemented
68#14582838C2211yescharacteristic, complemented
69#14582837C2211yescharacteristic, complemented
70#14582837C2211yescharacteristic, complemented
71#14582837C2211yescharacteristic, complemented
72#14582833C2211yescharacteristic, complemented
73#14582833C2211yescharacteristic, complemented
74#14582832C2211yescharacteristic, complemented
75#14582832C2211yescharacteristic, complemented
76#14582831C2211yescharacteristic, complemented
77#14582830C2211yescharacteristic, complemented
78#14582829C2211yescharacteristic, complemented
79#14582798C2211yescharacteristic, complemented
80#14582797C2211yescharacteristic, complemented
81#14582796C2211yescharacteristic, complemented
82#14582796C2211yescharacteristic, complemented
83#14582795C2211yescharacteristic, complemented
84#14582794C2211yescharacteristic, complemented
85#14582794C2211yescharacteristic, complemented
86#14582786C2211yescharacteristic, complemented
87#14582786C2211yescharacteristic, complemented
88#14582785C2211yescharacteristic, complemented
89#14582785C2211yescharacteristic, complemented
90#14582784C2211yescharacteristic, complemented
91#14582784C2211yescharacteristic, complemented
92#14582783C2211yescharacteristic, complemented
93#14582783C2211yescharacteristic, complemented
94#14582782C2211yescharacteristic, complemented
95#14582782C2211yescharacteristic, complemented
96#14582781C2211yescharacteristic, complemented
97#14582781C2211yescharacteristic, complemented
98#14582780C2211yescharacteristic, complemented
99#14582780C2211yescharacteristic, complemented
100#14582774C2211yescharacteristic
101#14582774C2211yescharacteristic
102#14582774C2211yescharacteristic
103#14582774C2211yescharacteristic
104#14582773C2211yescharacteristic
105#14582773C2211yescharacteristic
106#14582773C2211yescharacteristic
107#14582773C2211yescharacteristic
108#14582773C2211yescharacteristic
109#14582773C2211yescharacteristic
110#14582773C2211yescharacteristic
111#14582773C2211yescharacteristic
112#14582772C2211yescharacteristic
113#14582772C2211yescharacteristic
114#14582772C2211yescharacteristic
115#14582772C2211yescharacteristic
116#14582771C2211yescharacteristic
117#14582771C2211yescharacteristic
118#14582771C2211yescharacteristic
119#14582771C2211yescharacteristic
120#14582770C2211yescharacteristic
121#14582770C2211yescharacteristic
122#14582770C2211yescharacteristic
123#14582770C2211yescharacteristic
124#14582770C2211yescharacteristic
125#14582770C2211yescharacteristic
126#14582770C2211yescharacteristic
127#14582770C2211yescharacteristic
128#14582765C2211yescharacteristic, complemented
129#14582764C2211yescharacteristic, complemented
130#14582764C2211yescharacteristic, complemented
131#14582763C2211yescharacteristic, complemented
132#14582763C2211yescharacteristic, complemented
133#14582763C2211yescharacteristic, complemented
134#14582763C2211yescharacteristic, complemented
135#14582759C2211yescharacteristic
136#14582758C2211yescharacteristic
137#14582758C2211yescharacteristic
138#14582757C2211yescharacteristic
139#14582757C2211yescharacteristic
140#14582756C2211yescharacteristic
141#14582756C2211yescharacteristic
142C22⋊C4×Dic43C2211yescharacteristic
143C22⋊C4×Dic43C2211yescharacteristic
144C4×(C2×D43)⋊C4C2211yescharacteristic
145C4×(C2×D43)⋊C4C2211yescharacteristic
146C4×C22⋊Dic43C2211yescharacteristic
147#14582746C2211yescharacteristic
148#14582746C2211yescharacteristic
149C2×C43⋊#95C2211yescharacteristic
150C2×C43⋊#95C2211yescharacteristic
151C2×C43⋊#95C2211yescharacteristic
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×#400C2211yescharacteristic, complemented
173C43×#400C2211yescharacteristic, complemented
174C43×#400C2211yescharacteristic, complemented
175C43×#398C2211yescharacteristic, complemented
176C43×#389C2211yescharacteristic, complemented
177C43×#387C2211yescharacteristic, complemented
178C43×#387C2211yescharacteristic, complemented
179C43×#385C2211yescharacteristic
180C43×#385C2211yescharacteristic
181C43×#385C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#382C2211yescharacteristic, complemented
184C43×#380C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C23×Dic43C2311yescharacteristic
189C23×Dic43C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191C22×C4×D43—24no—
192C22×C4×D43—24no—
193C22×C4×D43—24no—
194C22×C4×D43—24no—
195C22×C4×D43—24no—
196C22×C4×D43—42no—
197C22×C4×D43—42no—
198C22×C4×D43—42no—
199C22×C4×D43—42no—
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C4⋊C4×D43—24no—
251C4⋊C4×D43—24no—
252C4⋊C4×D43—24no—
253C4⋊C4×D43—42no—
254C4⋊C4×D43—42no—
255C4⋊C4×D43—42no—
256C4⋊C4×D43—42no—
257C4⋊C4×D43—42no—
258C4⋊C4×D43—42no—
259C4⋊C4×D43—42no—
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C22⋊C4×D43—24no—
273C22⋊C4×D43—24no—
274C22⋊C4×D43—24no—
275C22⋊C4×D43Q818yes—
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C42×D43—24no—
283C42×D43—42no—
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
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C23×C4×C43C2311yescharacteristic
333C23×C4×C43C2311yescharacteristic
334C23×C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C42×C43C2311yescharacteristic
350C2×C42×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367C24×C43C2411yescharacteristic
368C23×D43—22no—
369C23×D43—22no—
370C23×D43—22no—
371C23×D43—22no—
372C23×D43C2×Q814yes—
373C23×D43#4114yes—
374C23×D43#4114yes—
375C23×D43C2411yescharacteristic
376C23×D43C2411yescharacteristic
377C22×C4×C43—22no—
378C22×C4×C43—22no—
379C22×C4×C43—22no—
380C22×C4×C43—22no—
381C22×C4×C43—22no—
382C22×C4×C43—41no—
383C22×C4×C43—41no—
384C22×C4×C43—41no—
385C22×C4×C43—41no—
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×Dic43—22no—
401C22×Dic43—22no—
402C22×Dic43—22no—
403C22×Dic43—22no—
404C22×Dic43—22no—
405C22×Dic43—41no—
406C22×Dic43—41no—
407C22×Dic43—41no—
408C22×Dic43—41no—
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
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—22no—
431C2×C4×D43—22no—
432C2×C4×D43—22no—
433C2×C4×D43—22no—
434C2×C4×D43—22no—
435C2×C4×D43—22no—
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—22no—
439C2×C4×D43—22no—
440C2×C4×D43—22no—
441C2×C4×D43—22no—
442C2×C4×D43—22no—
443C2×C4×D43—22no—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—22no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—416no—
472C2×C4×D43—416no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—416no—
482C2×C4×D43C2×Q814yes—
483C2×C4×D43C2×Q814yes—
484C2×C4×D43#4114yes—
485C2×C4×D43#4114yes—
486C4⋊C4×C43—22no—
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43C2×Q814yes—
500C42×C43—22no—
501C42×C43—41no—
502C22⋊Dic43—22no—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43C2×Q814yes—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—22no—
512(C2×D43)⋊C4C2×Q814yes—
513(C2×D43)⋊C4C2×Q814yes—
514C4⋊Dic43—22no—
515C4⋊Dic43—22no—
516C4⋊Dic43—22no—
517C4⋊Dic43—41no—
518C4⋊Dic43—41no—
519C4⋊Dic43—41no—
520C4⋊Dic43—41no—
521C4⋊Dic43—41no—
522C4⋊Dic43—41no—
523C4⋊Dic43—41no—
524Dic43⋊C4—22no—
525Dic43⋊C4—22no—
526Dic43⋊C4—22no—
527Dic43⋊C4—22no—
528Dic43⋊C4—22no—
529Dic43⋊C4—22no—
530Dic43⋊C4—41no—
531Dic43⋊C4—41no—
532Dic43⋊C4—41no—
533Dic43⋊C4—41no—
534Dic43⋊C4—41no—
535Dic43⋊C4—41no—
536Dic43⋊C4—41no—
537Dic43⋊C4—41no—
538Dic43⋊C4—41no—
539Dic43⋊C4—41no—
540Dic43⋊C4—41no—
541Dic43⋊C4—41no—
542Dic43⋊C4—41no—
543Dic43⋊C4—41no—
544C4×Dic43—22no—
545C4×Dic43—22no—
546C4×Dic43—22no—
547C4×Dic43—41no—
548C4×Dic43—41no—
549C4×Dic43—41no—
550C23×C43—21no—
551C23×C43—21no—
552C23×C43—21no—
553C23×C43—21no—
554C23×C43C22×Q812yes—
555C23×C43C2×#4112yes—
556C23×C43C2×#4112yes—
557C23×C43C2511yescharacteristic
558C22×D43—21no—
559C22×D43—21no—
560C22×D43—21no—
561C22×D43—21no—
562C22×D43—28no—
563C22×D43—28no—
564C22×D43—28no—
565C22×D43—28no—
566C22×D43—28no—
567C22×D43—28no—
568C22×D43#125116yes—
569C22×D43C22×Q812yes—
570C22×D43C22×Q812yes—
571C22×D43C2×#4112yes—
572C22×D43C2×#4112yes—
573C22×D43C2×#4112yes—
574C22×D43C2×#4112yes—
575C22×D43C2×#4112yes—
576C22×D43C2×#4112yes—
577C22×D43H(5,𝔽2)12yes—
578C22×D43H(5,𝔽2)12yes—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—21no—
593C2×C4×C43—21no—
594C2×C4×C43—21no—
595C2×C4×C43—21no—
596C2×C4×C43—21no—
597C2×C4×C43—21no—
598C2×C4×C43—21no—
599C2×C4×C43—21no—
600C2×C4×C43—21no—
601C2×C4×C43—21no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—44no—
618C2×C4×C43—44no—
619C2×C4×C43—44no—
620C2×C4×C43C22×Q812yes—
621C2×C4×C43C22×Q812yes—
622C2×C4×C43C2×#4112yes—
623C2×C4×C43C2×#4112yes—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—21no—
642C2×Dic43—21no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—44no—
663C2×Dic43—44no—
664C2×Dic43—44no—
665C2×Dic43C22×Q812yes—
666C2×Dic43C22×Q812yes—
667C2×Dic43C2×#4112yes—
668C2×Dic43C2×#4112yes—
669C4×D43—28no—
670C4×D43—28no—
671C4×D43—28no—
672C4×D43—28no—
673C4×D43—44no—
674C4×D43—44no—
675C4×D43—44no—
676C4×D43—44no—
677C4×D43—44no—
678C4×D43—44no—
679C4×D43—44no—
680C4×D43—44no—
681C4×D43—44no—
682C4×D43—44no—
683C4×D43—44no—
684C4×D43—44no—
685C4×D43—44no—
686C4×D43—44no—
687C4×D43—44no—
688C4×D43—44no—
689C2×#2505—431nomaximal, Sylow
690C22×C43—22no—
691C22×C43—22no—
692C22×C43—22no—
693C22×C43—22no—
694C22×C43—22no—
695C22×C43—22no—
696C22×C43C2×#12514yes—
697C22×C43C23×Q811yescharacteristic
698C22×C43C22×#4111yescharacteristic
699C22×C43C22×#4111yescharacteristic
700C22×C43C22×#4111yescharacteristic
701C22×C43C22×#4111yescharacteristic
702C22×C43C2×H(5,𝔽2)11yescharacteristic
703C22×C43C2×H(5,𝔽2)11yescharacteristic
704C2×D43—22no—
705C2×D43—22no—
706C2×D43—22no—
707C2×D43—22no—
708C2×D43—22no—
709C2×D43—22no—
710C2×D43—232no—
711C2×D43C2×#12514yes—
712C2×D43C2×#12514yes—
713C2×D43#52914yes—
714C2×D43#53814yes—
715C2×D43#55114yes—
716C2×D43#55114yes—
717C2×D43#55414yes—
718C2×D43#55414yes—
719C4×C43—22no—
720C4×C43—22no—
721C4×C43—22no—
722C4×C43—22no—
723C4×C43—41no—
724C4×C43—41no—
725C4×C43—41no—
726C4×C43—41no—
727C4×C43—41no—
728C4×C43—41no—
729C4×C43—41no—
730C4×C43—41no—
731C4×C43—41no—
732C4×C43—41no—
733Dic43—22no—
734Dic43—22no—
735Dic43—22no—
736Dic43—22no—
737Dic43—41no—
738Dic43—41no—
739Dic43—41no—
740Dic43—41no—
741Dic43—41no—
742Dic43—41no—
743Dic43—41no—
744Dic43—41no—
745Dic43—41no—
746Dic43—41no—
747#2505—431no—
748#2505—431no—
749#2505—431no—
750#2505—431no—
751#2505—431no—
752#2505—431no—
753#2505—431no—
754#2505—431no—
755#2505—431no—
756#2505—431no—
757#2505—431no—
758#2505—431no—
759#2505—431no—
760#2505—431no—
761#2505—431no—
762#2505D4311yescharacteristic, direct product factor
763C2×#400—431no—
764C2×#400—431no—
765C2×#400—431no—
766C2×#398—431no—
767C2×#389—431no—
768C2×#387—431no—
769C2×#387—431no—
770C2×#385—431no—
771C2×#385—431no—
772C2×#385—431no—
773C2×#385—431no—
774C2×#382—431no—
775C2×#380—431no—
776C2×C4×C22⋊C4—431no—
777C22×#95—431no—
778C2×C43—24no—
779C2×C43C22×#12511yescharacteristic
780C2×C43C2×#52911yescharacteristic
781C2×C43C2×#53811yescharacteristic
782C2×C43C2×#55111yescharacteristic
783C2×C43C2×#55111yescharacteristic
784C2×C43C2×#55411yescharacteristic
785C2×C43C2×#55411yescharacteristic
786D43—24no—
787D43#250518yesdirect product factor
788C24×C4—431no—
789C24×C4—431no—
790C24×C4—431no—
791C22×C4⋊C4—431no—
792C22×C4⋊C4—431no—
793C22×C4⋊C4—431no—
794C22×C4⋊C4—431no—
795C22×C4⋊C4—431no—
796C22×C4⋊C4—431no—
797C22×C4⋊C4—431no—
798C22×C4⋊C4—431no—
799C22×C4⋊C4—431no—
800C22×C4⋊C4—431no—
801C22×C22⋊C4—431no—
802C22×C22⋊C4—431no—
803C22×C22⋊C4—431no—
804C22×C22⋊C4—431no—
805C22×C42—431no—
806C22×C42—431no—
807#400—431no—
808#400—431no—
809#400—431no—
810#400—431no—
811#400—431no—
812#400—431no—
813#400—431no—
814#400—431no—
815#400—431no—
816#400—431no—
817#400—431no—
818#400—431no—
819#400—431no—
820#400—431no—
821#400—431no—
822#400—431no—
823#400—431no—
824#400—431no—
825#400—431no—
826#400—431no—
827#400—431no—
828#400C2×D4311yescharacteristic, complemented
829#400C2×D4311yescharacteristic, complemented
830#400C2×D4311yescharacteristic, complemented
831#398—431no—
832#398—431no—
833#398—431no—
834#398—431no—
835#398—431no—
836#398—431no—
837#398—431no—
838#398C2×D4311yescharacteristic, complemented
839#389—431no—
840#389—431no—
841#389—431no—
842#389—431no—
843#389—431no—
844#389—431no—
845#389—431no—
846#389C2×D4311yescharacteristic, complemented
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387—431no—
853#387—431no—
854#387—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387C2×D4311yescharacteristic, complemented
862#387C2×D4311yescharacteristic, complemented
863#385—431no—
864#385—431no—
865#385—431no—
866#385—431no—
867#385—431no—
868#385—431no—
869#385—431no—
870#385—431no—
871#385—431no—
872#385—431no—
873#385—431no—
874#385—431no—
875#385—431no—
876#385—431no—
877#385—431no—
878#385—431no—
879#385—431no—
880#385—431no—
881#385—431no—
882#385—431no—
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#385—431no—
888#385—431no—
889#385—431no—
890#385—431no—
891#385C2×D4311yescharacteristic
892#385C2×D4311yescharacteristic
893#385C2×D4311yescharacteristic
894#385C2×D4311yescharacteristic
895#382—431no—
896#382—431no—
897#382—431no—
898#382—431no—
899#382—431no—
900#382—431no—
901#382—431no—
902#382C2×D4311yescharacteristic, complemented
903#380—431no—
904#380—431no—
905#380—431no—
906#380—431no—
907#380—431no—
908#380—431no—
909#380—431no—
910#380C2×D4311yescharacteristic
911C4×C22⋊C4—431no—
912C4×C22⋊C4—431no—
913C4×C22⋊C4—431no—
914C4×C22⋊C4—431no—
915C4×C22⋊C4—431no—
916C4×C22⋊C4—431no—
917C4×C22⋊C4—431no—
918C4×C22⋊C4C2×D4311yescharacteristic
919C2×#95—431no—
920C2×#95—431no—
921C2×#95—431no—
922C2×#95—431no—
923C2×#95—431no—
924C2×#95—431no—
925C2×#95—431no—
926C2×#95—431no—
927C2×#95—431no—
928C2×#95—431no—
929C2×#95—431no—
930C2×#95—431no—
931C2×#95—431no—
932C2×#95—431no—
933C2×#95—431no—
934C2×#95—431no—
935C2×#95—431no—
936C2×#95—431no—
937C2×#95—431no—
938C2×#95—431no—
939C2×#95—431no—
940C2×#95—431no—
941C2×#95—431no—
942C2×#95C2×D4311yescharacteristic
943C43C2×#250511yescharacteristic, complemented, Sylow
944C25—431no—
945C23×C4—431no—
946C23×C4—431no—
947C23×C4—431no—
948C23×C4—431no—
949C23×C4—431no—
950C23×C4—431no—
951C23×C4—431no—
952C23×C4—431no—
953C23×C4—431no—
954C23×C4—431no—
955C23×C4—431no—
956C23×C4—431no—
957C23×C4—431no—
958C23×C4—431no—
959C23×C4—431no—
960C23×C4—431no—
961C23×C4—431no—
962C23×C4—431no—
963C23×C4—431no—
964C23×C4—431no—
965C23×C4—431no—
966C23×C4—431no—
967C23×C4—431no—
968C23×C4—864no—
969C23×C4—864no—
970C23×C4—864no—
971C23×C4—864no—
972C23×C4—864no—
973C23×C4—1722no—
974C23×C4—1722no—
975C23×C4—1722no—
976C23×C4—1722no—
977C23×C4C22×D4311yescharacteristic
978C23×C4C22×D4311yescharacteristic
979C23×C4C22×D4311yescharacteristic
980C2×C4⋊C4—431no—
981C2×C4⋊C4—431no—
982C2×C4⋊C4—431no—
983C2×C4⋊C4—431no—
984C2×C4⋊C4—431no—
985C2×C4⋊C4—431no—
986C2×C4⋊C4—431no—
987C2×C4⋊C4—431no—
988C2×C4⋊C4—431no—
989C2×C4⋊C4—431no—
990C2×C4⋊C4—431no—
991C2×C4⋊C4—431no—
992C2×C4⋊C4—431no—
993C2×C4⋊C4—431no—
994C2×C4⋊C4—431no—
995C2×C4⋊C4—431no—
996C2×C4⋊C4—431no—
997C2×C4⋊C4—431no—
998C2×C4⋊C4—431no—
999C2×C4⋊C4—431no—
1000C2×C4⋊C4—431no—
1001C2×C4⋊C4—431no—
1002C2×C4⋊C4—431no—
1003C2×C4⋊C4—431no—
1004C2×C4⋊C4—431no—
1005C2×C4⋊C4—431no—
1006C2×C4⋊C4—431no—
1007C2×C4⋊C4—431no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—864no—
1011C2×C4⋊C4—864no—
1012C2×C4⋊C4—864no—
1013C2×C4⋊C4—1722no—
1014C2×C4⋊C4—1722no—
1015C2×C4⋊C4—1722no—
1016C2×C4⋊C4—1722no—
1017C2×C4⋊C4—1722no—
1018C2×C4⋊C4—1722no—
1019C2×C4⋊C4—1722no—
1020C2×C4⋊C4C22×D4311yescharacteristic
1021C2×C4⋊C4C22×D4311yescharacteristic
1022C2×C4⋊C4C22×D4311yescharacteristic
1023C2×C4⋊C4C22×D4311yescharacteristic
1024C2×C4⋊C4C22×D4311yescharacteristic
1025C2×C4⋊C4C22×D4311yescharacteristic
1026C2×C4⋊C4C22×D4311yescharacteristic
1027C2×C4⋊C4C22×D4311yescharacteristic
1028C2×C4⋊C4C22×D4311yescharacteristic
1029C2×C4⋊C4C22×D4311yescharacteristic
1030C2×C22⋊C4—431no—
1031C2×C22⋊C4—431no—
1032C2×C22⋊C4—431no—
1033C2×C22⋊C4—438no—
1034C2×C22⋊C4—431no—
1035C2×C22⋊C4—431no—
1036C2×C22⋊C4—431no—
1037C2×C22⋊C4—431no—
1038C2×C22⋊C4—431no—
1039C2×C22⋊C4—431no—
1040C2×C22⋊C4—431no—
1041C2×C22⋊C4—431no—
1042C2×C22⋊C4—431no—
1043C2×C22⋊C4—864no—
1044C2×C22⋊C4—864no—
1045C2×C22⋊C4—864no—
1046C2×C22⋊C4C22×D4311yescharacteristic
1047C2×C22⋊C4C22×D4311yescharacteristic
1048C2×C22⋊C4C22×D4311yescharacteristic
1049C2×C22⋊C4C22×D4311yescharacteristic
1050C2×C42—431no—
1051C2×C42—431no—
1052C2×C42—431no—
1053C2×C42—431no—
1054C2×C42—431no—
1055C2×C42—431no—
1056C2×C42—864no—
1057C2×C42—1722no—
1058C2×C42C22×D4311yescharacteristic
1059C2×C42C22×D4311yescharacteristic
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95—431no—
1065#95—431no—
1066#95—431no—
1067#95—431no—
1068#95—431no—
1069#95—431no—
1070#95—431no—
1071#95—431no—
1072#95—431no—
1073#95—431no—
1074#95—431no—
1075#95—431no—
1076#95—431no—
1077#95—431no—
1078#95—431no—
1079#95—431no—
1080#95—431no—
1081#95—431no—
1082#95—431no—
1083#95—431no—
1084#95—431no—
1085#95—431no—
1086#95—431no—
1087#95—431no—
1088#95—431no—
1089#95—431no—
1090#95—431no—
1091#95—431no—
1092#95—431no—
1093#95—431no—
1094#95—431no—
1095#95—431no—
1096#95—431no—
1097#95—431no—
1098#95—431no—
1099#95—431no—
1100#95—431no—
1101#95—431no—
1102#95—431no—
1103#95—431no—
1104#95—431no—
1105#95—431no—
1106#95—431no—
1107#95—431no—
1108#95C22×D4311yescharacteristic
1109#95C22×D4311yescharacteristic
1110#95C22×D4311yescharacteristic
1111#95C22×D4311yescharacteristic
1112#95C22×D4311yescharacteristic
1113#95C22×D4311yescharacteristic
1114#95C22×D4311yescharacteristic
1115#95C22×D4311yescharacteristic
1116#95C22×D4311yescharacteristic
1117#95C22×D4311yescharacteristic
1118#95C22×D4311yescharacteristic
1119#95C22×D4311yescharacteristic
1120#95C22×D4311yescharacteristic
1121#95C22×D4311yescharacteristic
1122#95C22×D4311yescharacteristic
1123#95C22×D4311yescharacteristic
1124C24—431no—
1125C24—434no—
1126C24—434no—
1127C24—434no—
1128C24—431no—
1129C24—862no—
1130C24—862no—
1131C24—862no—
1132C24—862no—
1133C24C23×D4311yescharacteristic
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—431no—
1144C22×C4—431no—
1145C22×C4—431no—
1146C22×C4—431no—
1147C22×C4—434no—
1148C22×C4—434no—
1149C22×C4—434no—
1150C22×C4—434no—
1151C22×C4—431no—
1152C22×C4—431no—
1153C22×C4—431no—
1154C22×C4—431no—
1155C22×C4—431no—
1156C22×C4—431no—
1157C22×C4—431no—
1158C22×C4—431no—
1159C22×C4—431no—
1160C22×C4—431no—
1161C22×C4—862no—
1162C22×C4—862no—
1163C22×C4—862no—
1164C22×C4—862no—
1165C22×C4—862no—
1166C22×C4—862no—
1167C22×C4—862no—
1168C22×C4—862no—
1169C22×C4—862no—
1170C22×C4—862no—
1171C22×C4—862no—
1172C22×C4—862no—
1173C22×C4—862no—
1174C22×C4—862no—
1175C22×C4—862no—
1176C22×C4—862no—
1177C22×C4—862no—
1178C22×C4—862no—
1179C22×C4—862no—
1180C22×C4—862no—
1181C22×C4—862no—
1182C22×C4—862no—
1183C22×C4—862no—
1184C22×C4—862no—
1185C22×C4—862no—
1186C22×C4—862no—
1187C22×C4—862no—
1188C22×C4—862no—
1189C22×C4—862no—
1190C22×C4—862no—
1191C22×C4—862no—
1192C22×C4—862no—
1193C22×C4—862no—
1194C22×C4—862no—
1195C22×C4—862no—
1196C22×C4—862no—
1197C22×C4—862no—
1198C22×C4—862no—
1199C22×C4—862no—
1200C22×C4—862no—
1201C22×C4—862no—
1202C22×C4—862no—
1203C22×C4—862no—
1204C22×C4—862no—
1205C22×C4—862no—
1206C22×C4—862no—
1207C22×C4—862no—
1208C22×C4—862no—
1209C22×C4—862no—
1210C22×C4—862no—
1211C22×C4—862no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—1721no—
1215C22×C4—1721no—
1216C22×C4—1721no—
1217C22×C4—1721no—
1218C22×C4—1721no—
1219C22×C4—1721no—
1220C22×C4—1721no—
1221C22×C4—1721no—
1222C22×C4—17216no—
1223C22×C4—17216no—
1224C22×C4—17216no—
1225C22×C4—1721no—
1226C22×C4—1721no—
1227C22×C4—1721no—
1228C22×C4—1721no—
1229C22×C4C23×D4311yescharacteristic
1230C22×C4C23×D4311yescharacteristic
1231C22×C4C23×D4311yescharacteristic
1232C22×C4C23×D4311yescharacteristic
1233C22×C4C23×D4311yescharacteristic
1234C22×C4C23×D4311yescharacteristic
1235C22×C4C23×D4311yescharacteristic
1236C22×C4C23×D4311yescharacteristic
1237C22×C4C23×D4311yescharacteristic
1238C22×C4C23×D4311yescharacteristic
1239C22×C4C23×D4311yescharacteristic
1240C22×C4C23×D4311yescharacteristic
1241C22×C4C23×D4311yescharacteristic
1242C22×C4C23×D4311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—862no—
1254C4⋊C4—862no—
1255C4⋊C4—862no—
1256C4⋊C4—862no—
1257C4⋊C4—862no—
1258C4⋊C4—862no—
1259C4⋊C4—862no—
1260C4⋊C4—862no—
1261C4⋊C4—862no—
1262C4⋊C4—1721no—
1263C4⋊C4—1721no—
1264C4⋊C4—1721no—
1265C4⋊C4—1721no—
1266C4⋊C4—1721no—
1267C4⋊C4—1721no—
1268C4⋊C4—1721no—
1269C4⋊C4—1721no—
1270C4⋊C4—1721no—
1271C4⋊C4—1721no—
1272C4⋊C4—1721no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—434no—
1287C22⋊C4—434no—
1288C22⋊C4—434no—
1289C22⋊C4—862no—
1290C22⋊C4—862no—
1291C22⋊C4—862no—
1292C22⋊C4—862no—
1293C22⋊C4—862no—
1294C22⋊C4—862no—
1295C22⋊C4—862no—
1296C22⋊C4—862no—
1297C22⋊C4—862no—
1298C22⋊C4Q8×D4314yes—
1299C42—22no—
1300C42—41no—
1301C42—862no—
1302C42—862no—
1303C42—862no—
1304C42—1721no—
1305C42—1721no—
1306C42—1721no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—432no—
1312C23—432no—
1313C23—432no—
1314C23—432no—
1315C23—432no—
1316C23—432no—
1317C23—432no—
1318C23—4316no—
1319C23—432no—
1320C23—432no—
1321C23—432no—
1322C23—868no—
1323C23—868no—
1324C23—868no—
1325C23—868no—
1326C23—868no—
1327C23—868no—
1328C23—861no—
1329C23—861no—
1330C23—861no—
1331C23—861no—
1332C23C2×Q8×D4312yes—
1333C23#41×D4312yes—
1334C23#41×D4312yes—
1335C23C24×D4311yescharacteristic
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—432no—
1378C2×C4—432no—
1379C2×C4—432no—
1380C2×C4—432no—
1381C2×C4—868no—
1382C2×C4—868no—
1383C2×C4—868no—
1384C2×C4—868no—
1385C2×C4—861no—
1386C2×C4—861no—
1387C2×C4—861no—
1388C2×C4—861no—
1389C2×C4—861no—
1390C2×C4—861no—
1391C2×C4—861no—
1392C2×C4—861no—
1393C2×C4—861no—
1394C2×C4—861no—
1395C2×C4—861no—
1396C2×C4—861no—
1397C2×C4—861no—
1398C2×C4—861no—
1399C2×C4—861no—
1400C2×C4—861no—
1401C2×C4—861no—
1402C2×C4—861no—
1403C2×C4—861no—
1404C2×C4—861no—
1405C2×C4—861no—
1406C2×C4—861no—
1407C2×C4—861no—
1408C2×C4—861no—
1409C2×C4—861no—
1410C2×C4—861no—
1411C2×C4—861no—
1412C2×C4—861no—
1413C2×C4—861no—
1414C2×C4—861no—
1415C2×C4—861no—
1416C2×C4—861no—
1417C2×C4—861no—
1418C2×C4—861no—
1419C2×C4—861no—
1420C2×C4—861no—
1421C2×C4—861no—
1422C2×C4—861no—
1423C2×C4—1724no—
1424C2×C4—1724no—
1425C2×C4—1724no—
1426C2×C4—1724no—
1427C2×C4—1724no—
1428C2×C4—1724no—
1429C2×C4—1724no—
1430C2×C4—1724no—
1431C2×C4—1724no—
1432C2×C4—1724no—
1433C2×C4—1724no—
1434C2×C4—1724no—
1435C2×C4—1724no—
1436C2×C4—1724no—
1437C2×C4—1724no—
1438C2×C4—1724no—
1439C2×C4—1724no—
1440C2×C4—1724no—
1441C2×C4—1724no—
1442C2×C4C2×Q8×D4312yes—
1443C2×C4C2×Q8×D4312yes—
1444C2×C4#41×D4312yes—
1445C2×C4#41×D4312yes—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—434no—
1453C22—434no—
1454C22—434no—
1455C22—434no—
1456C22—434no—
1457C22—434no—
1458C22—434no—
1459C22—434no—
1460C22—8632no—
1461C22—862no—
1462C22—862no—
1463C22—862no—
1464C22—862no—
1465C22—862no—
1466C22—862no—
1467C22#125×D4314yes—
1468C22C22×Q8×D4311yescharacteristic
1469C22C2×#41×D4311yescharacteristic
1470C22C2×#41×D4311yescharacteristic
1471C22C2×#41×D4311yescharacteristic
1472C22C2×#41×D4311yescharacteristic
1473C22H(5,𝔽2)×D4311yescharacteristic
1474C22H(5,𝔽2)×D4311yescharacteristic
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—862no—
1490C4—862no—
1491C4—862no—
1492C4—862no—
1493C4—1721no—
1494C4—1721no—
1495C4—1721no—
1496C4—1721no—
1497C4—1721no—
1498C4—1721no—
1499C4—1721no—
1500C4—1721no—
1501C4—1721no—
1502C4—1721no—
1503C2—24no—
1504C2—438no—
1505C2—864no—
1506C2C2×#125×D4311yescharacteristic
1507C2#529×D4311yescharacteristic
1508C2#538×D4311yescharacteristic
1509C2#551×D4311yescharacteristic
1510C2#551×D4311yescharacteristic
1511C2#554×D4311yescharacteristic
1512C2#554×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2505C2
prime radicalC24×D43C23
hypercenter#2505D43
hypocenterC43C2×#2505
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #19139103C2semidirect
2. #19139102C2semidirect
3. #19139101C2semidirect
4. #19139100C2semidirect
5. #19139099C2semidirect
6. #19139098C2semidirect
7. #19139097C2semidirect
8. #19139096C2semidirect
9. #19139095C2semidirect
10. #19139094C2semidirect
11. #19139093C2semidirect
12. #19139092C2semidirect
13. #19139091C2semidirect
14. #19139090C2semidirect
15. #19139089C2semidirect
16. #400×D43C2semidirect
17. #400×D43C2semidirect
18. #400×D43C2semidirect
19. #398×D43C2semidirect
20. #389×D43C2semidirect
21. #387×D43C2semidirect
22. #387×D43C2semidirect
27. #382×D43C2semidirect
31. C43×#2505C2semidirect
51. #14582841C22semidirect
52. #14582841C22semidirect
53. #14582841C22semidirect
54. #14582841C22semidirect
55. #14582841C22semidirect
56. #14582841C22semidirect
57. #14582840C22semidirect
58. #14582840C22semidirect
59. #14582840C22semidirect
60. #14582840C22semidirect
61. #14582840C22semidirect
62. #14582840C22semidirect
63. #14582839C22semidirect
64. #14582839C22semidirect
65. #14582839C22semidirect
66. #14582838C22semidirect
67. #14582838C22semidirect
68. #14582838C22semidirect
69. #14582837C22semidirect
70. #14582837C22semidirect
71. #14582837C22semidirect
72. #14582833C22semidirect
73. #14582833C22semidirect
74. #14582832C22semidirect
75. #14582832C22semidirect
76. #14582831C22semidirect
77. #14582830C22semidirect
78. #14582829C22semidirect
79. #14582798C22semidirect
80. #14582797C22semidirect
81. #14582796C22semidirect
82. #14582796C22semidirect
83. #14582795C22semidirect
84. #14582794C22semidirect
85. #14582794C22semidirect
86. #14582786C22semidirect
87. #14582786C22semidirect
88. #14582785C22semidirect
89. #14582785C22semidirect
90. #14582784C22semidirect
91. #14582784C22semidirect
92. #14582783C22semidirect
93. #14582783C22semidirect
94. #14582782C22semidirect
95. #14582782C22semidirect
96. #14582781C22semidirect
97. #14582781C22semidirect
98. #14582780C22semidirect
99. #14582780C22semidirect
128. #14582765C22semidirect
129. #14582764C22semidirect
130. #14582764C22semidirect
131. #14582763C22semidirect
132. #14582763C22semidirect
133. #14582763C22semidirect
134. #14582763C22semidirect
172. C43×#400C22semidirect
173. C43×#400C22semidirect
174. C43×#400C22semidirect
175. C43×#398C22semidirect
176. C43×#389C22semidirect
177. C43×#387C22semidirect
178. C43×#387C22semidirect
183. C43×#382C22semidirect
762. #2505D43direct (N × H)
787. D43#2505direct (N × H)
828. #400C2×D43semidirect
829. #400C2×D43semidirect
830. #400C2×D43semidirect
838. #398C2×D43semidirect
846. #389C2×D43semidirect
861. #387C2×D43semidirect
862. #387C2×D43semidirect
902. #382C2×D43semidirect
943. C43C2×#2505semidirect

Maximal subgroups

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

subgroupindex
#191391032
#191391022
#191391012
#191391002
#191390992
#191390982
#191390972
#191390962
#191390952
#191390942
#191390932
#191390922
#191390912
#191390902
#191390892
#400×D432
#398×D432
#389×D432
#387×D432
#385×D432
#382×D432
#380×D432
C4×C22⋊C4×D432
C2×#95×D432
C43×#25052
C2×#250543