Finite Group Databasebeta

← D43×#2473 #25264183

Subgroups — D43×#2473 #25264183

Order 11008.

2942 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D43C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D43C211yesmaximal, characteristic
3#19138743C211yesmaximal, characteristic, complemented
4#19138742C211yesmaximal, characteristic, complemented
5#19138741C211yesmaximal, characteristic, complemented
6#19138740C211yesmaximal, characteristic, complemented
7#19138739C211yesmaximal, characteristic, complemented
8#19138738C211yesmaximal, characteristic, complemented
9#19138737C211yesmaximal, characteristic, complemented
10#19138736C211yesmaximal, characteristic, complemented
11#19138735C211yesmaximal, characteristic, complemented
12#19138734C211yesmaximal, characteristic, complemented
13#19138733C211yesmaximal, characteristic, complemented
14#19138732C211yesmaximal, characteristic, complemented
15#19138731C211yesmaximal, characteristic, complemented
16#19138730C211yesmaximal, characteristic, complemented
17#19138729C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#398×D43C211yesmaximal, characteristic, complemented
20#398×D43C211yesmaximal, characteristic, complemented
21#398×D43C211yesmaximal, characteristic, complemented
22#389×D43C211yesmaximal, characteristic, complemented
23#387×D43C211yesmaximal, characteristic, complemented
24#387×D43C211yesmaximal, characteristic, complemented
25#385×D43C211yesmaximal, characteristic
26#385×D43C211yesmaximal, characteristic
27#385×D43C211yesmaximal, characteristic
28#385×D43C211yesmaximal, characteristic
29#380×D43C211yesmaximal, characteristic
30C4×C22⋊C4×D43C211yesmaximal, characteristic
31C43×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C2×#13063317C2211yescharacteristic, complemented
36C2×#13063316C2211yescharacteristic, complemented
37C2×#13063316C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063315C2211yescharacteristic, complemented
40C2×#13063315C2211yescharacteristic, complemented
41C2×#13063315C2211yescharacteristic, complemented
42#125×D43—28no—
43C22×C4⋊Dic43C2211yescharacteristic
44C22×Dic43⋊C4C2211yescharacteristic
45C22×Dic43⋊C4C2211yescharacteristic
46C2×C4⋊C4×D43—28no—
47C2×C4⋊C4×D43C2211yescharacteristic
48C2×C4⋊C4×D43C2211yescharacteristic
49C2×C4⋊C4×D43C2211yescharacteristic
50C2×C4⋊C4×D43C2211yescharacteristic
51C2×C4⋊C4×D43C2211yescharacteristic
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×C4⋊C4×D43C2211yescharacteristic
60C2×C4⋊C4×D43C2211yescharacteristic
61C2×C4⋊C4×D43C2211yescharacteristic
62C2×C4⋊C4×D43C2211yescharacteristic
63C2×C4⋊C4×D43C2211yescharacteristic
64C2×C4⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582840C2211yescharacteristic, complemented
75#14582839C2211yescharacteristic, complemented
76#14582838C2211yescharacteristic, complemented
77#14582837C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582833C2211yescharacteristic, complemented
81#14582833C2211yescharacteristic, complemented
82#14582833C2211yescharacteristic, complemented
83#14582833C2211yescharacteristic, complemented
84#14582832C2211yescharacteristic, complemented
85#14582832C2211yescharacteristic, complemented
86#14582832C2211yescharacteristic, complemented
87#14582832C2211yescharacteristic, complemented
88#14582832C2211yescharacteristic, complemented
89#14582832C2211yescharacteristic, complemented
90#14582831C2211yescharacteristic, complemented
91#14582831C2211yescharacteristic, complemented
92#14582831C2211yescharacteristic, complemented
93#14582830C2211yescharacteristic, complemented
94#14582830C2211yescharacteristic, complemented
95#14582830C2211yescharacteristic, complemented
96#14582829C2211yescharacteristic, complemented
97#14582829C2211yescharacteristic, complemented
98#14582829C2211yescharacteristic, complemented
99#14582798C2211yescharacteristic, complemented
100#14582797C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582796C2211yescharacteristic, complemented
103#14582795C2211yescharacteristic, complemented
104#14582794C2211yescharacteristic, complemented
105#14582794C2211yescharacteristic, complemented
106#14582786C2211yescharacteristic, complemented
107#14582786C2211yescharacteristic, complemented
108#14582785C2211yescharacteristic, complemented
109#14582785C2211yescharacteristic, complemented
110#14582784C2211yescharacteristic, complemented
111#14582784C2211yescharacteristic, complemented
112#14582783C2211yescharacteristic, complemented
113#14582783C2211yescharacteristic, complemented
114#14582782C2211yescharacteristic, complemented
115#14582782C2211yescharacteristic, complemented
116#14582781C2211yescharacteristic, complemented
117#14582781C2211yescharacteristic, complemented
118#14582780C2211yescharacteristic, complemented
119#14582780C2211yescharacteristic, complemented
120#14582774C2211yescharacteristic
121#14582774C2211yescharacteristic
122#14582774C2211yescharacteristic
123#14582774C2211yescharacteristic
124#14582773C2211yescharacteristic
125#14582773C2211yescharacteristic
126#14582773C2211yescharacteristic
127#14582773C2211yescharacteristic
128#14582773C2211yescharacteristic
129#14582773C2211yescharacteristic
130#14582773C2211yescharacteristic
131#14582773C2211yescharacteristic
132#14582772C2211yescharacteristic
133#14582772C2211yescharacteristic
134#14582772C2211yescharacteristic
135#14582772C2211yescharacteristic
136#14582771C2211yescharacteristic
137#14582771C2211yescharacteristic
138#14582771C2211yescharacteristic
139#14582771C2211yescharacteristic
140#14582770C2211yescharacteristic
141#14582770C2211yescharacteristic
142#14582770C2211yescharacteristic
143#14582770C2211yescharacteristic
144#14582770C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582759C2211yescharacteristic
149#14582758C2211yescharacteristic
150#14582758C2211yescharacteristic
151#14582757C2211yescharacteristic
152#14582757C2211yescharacteristic
153#14582756C2211yescharacteristic
154#14582756C2211yescharacteristic
155C22⋊C4×Dic43C2211yescharacteristic
156C22⋊C4×Dic43C2211yescharacteristic
157C4×(C2×D43)⋊C4C2211yescharacteristic
158C4×(C2×D43)⋊C4C2211yescharacteristic
159C4×C22⋊Dic43C2211yescharacteristic
160#14582746C2211yescharacteristic
161#14582746C2211yescharacteristic
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
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#125×C43C2211yescharacteristic, complemented
175C22×C4⋊C4×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#389C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#385C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#385C2211yescharacteristic
187C43×#380C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191C23×Dic43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C22×C4×D43—24no—
194C22×C4×D43—24no—
195C22×C4×D43—24no—
196C22×C4×D43—24no—
197C22×C4×D43—24no—
198C22×C4×D43—24no—
199C22×C4×D43—24no—
200C22×C4×D43—42no—
201C22×C4×D43—42no—
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
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222#13063317—24no—
223#13063316—24no—
224#13063316—24no—
225#13063315—24no—
226#13063315—24no—
227#13063315—24no—
228#13063315—24no—
229C2×C4⋊Dic43—24no—
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×Dic43⋊C4—24no—
245C2×Dic43⋊C4—24no—
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
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
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C4⋊C4×D43—24no—
275C4⋊C4×D43—24no—
276C4⋊C4×D43—24no—
277C4⋊C4×D43—24no—
278C4⋊C4×D43—24no—
279C4⋊C4×D43—24no—
280C4⋊C4×D43—24no—
281C4⋊C4×D43—24no—
282C4⋊C4×D43—24no—
283C4⋊C4×D43—24no—
284C4⋊C4×D43—24no—
285C4⋊C4×D43—24no—
286C4⋊C4×D43—24no—
287C4⋊C4×D43—24no—
288C4⋊C4×D43—42no—
289C4⋊C4×D43—42no—
290C4⋊C4×D43—42no—
291C4⋊C4×D43D418yes—
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
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
304C22⋊C4×D43—24no—
305C22⋊C4×D43—24no—
306C22⋊C4×D43—24no—
307C22⋊C4×D43Q818yes—
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C42×D43—24no—
315C42×D43—42no—
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
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354C23×C4×C43C2311yescharacteristic
355#125×C43—24no—
356C2×C4⋊C4×C43—24no—
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C42×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389C24×C43C2411yescharacteristic
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43—22no—
394C23×D43C2×Q814yes—
395C23×D43#4114yes—
396C23×D43#4114yes—
397C23×D43C2411yescharacteristic
398C23×D43C2411yescharacteristic
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×Dic43—22no—
423C22×Dic43—22no—
424C22×Dic43—22no—
425C22×Dic43—22no—
426C22×Dic43—22no—
427C22×Dic43—22no—
428C22×Dic43—22no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C2×C4×D43—232no—
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—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—22no—
486C2×C4×D43—22no—
487C2×C4×D43—22no—
488C2×C4×D43—22no—
489C2×C4×D43—22no—
490C2×C4×D43—22no—
491C2×C4×D43—22no—
492C2×C4×D43—22no—
493C2×C4×D43—22no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—416no—
497C2×C4×D43—416no—
498C2×C4×D43—41no—
499C2×C4×D43—41no—
500C2×C4×D43—41no—
501C2×C4×D43—41no—
502C2×C4×D43C2×D414yes—
503C2×C4×D43C2×D414yes—
504C2×C4×D43C2×D414yes—
505C2×C4×D43C2×Q814yes—
506C2×C4×D43C2×Q814yes—
507C2×C4×D43#4114yes—
508C4⋊C4×C43—22no—
509C4⋊C4×C43—22no—
510C4⋊C4×C43—22no—
511C4⋊C4×C43—22no—
512C4⋊C4×C43—22no—
513C4⋊C4×C43—22no—
514C4⋊C4×C43—22no—
515C4⋊C4×C43—22no—
516C4⋊C4×C43—22no—
517C4⋊C4×C43—22no—
518C4⋊C4×C43—41no—
519C4⋊C4×C43—41no—
520C4⋊C4×C43—41no—
521C4⋊C4×C43C2×D414yes—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43C2×Q814yes—
526C42×C43—22no—
527C42×C43—41no—
528C22⋊Dic43—22no—
529C22⋊Dic43—22no—
530C22⋊Dic43—22no—
531C22⋊Dic43C2×Q814yes—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4C2×Q814yes—
539(C2×D43)⋊C4C2×Q814yes—
540C4⋊Dic43—22no—
541C4⋊Dic43—22no—
542C4⋊Dic43—22no—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—22no—
546C4⋊Dic43—22no—
547C4⋊Dic43—22no—
548C4⋊Dic43—22no—
549C4⋊Dic43—22no—
550C4⋊Dic43—41no—
551C4⋊Dic43—41no—
552C4⋊Dic43—41no—
553C4⋊Dic43C2×D414yes—
554Dic43⋊C4—22no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—22no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—22no—
570Dic43⋊C4—22no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—41no—
575Dic43⋊C4—41no—
576Dic43⋊C4—41no—
577Dic43⋊C4—41no—
578Dic43⋊C4—41no—
579Dic43⋊C4—41no—
580Dic43⋊C4C2×D414yes—
581Dic43⋊C4C2×D414yes—
582C4×Dic43—22no—
583C4×Dic43—22no—
584C4×Dic43—22no—
585C4×Dic43—41no—
586C4×Dic43—41no—
587C4×Dic43—41no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43C22×Q812yes—
593C23×C43C2×#4112yes—
594C23×C43C2×#4112yes—
595C23×C43C2511yescharacteristic
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—21no—
599C22×D43—21no—
600C22×D43—28no—
601C22×D43—28no—
602C22×D43—28no—
603C22×D43—28no—
604C22×D43—28no—
605C22×D43—28no—
606C22×D43#125116yescomplemented
607C22×D43C22×D412yes—
608C22×D43C22×Q812yes—
609C22×D43C22×Q812yes—
610C22×D43C2×#4112yes—
611C22×D43C2×#4112yes—
612C22×D43C2×#4112yes—
613C22×D43C2×#4112yes—
614C22×D43C2×#4112yes—
615C22×D43H(5,𝔽2)12yes—
616C22×D432−1+412yes—
617C2×C4×C43—28no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—44no—
655C2×C4×C43—44no—
656C2×C4×C43C22×D412yes—
657C2×C4×C43C22×D412yes—
658C2×C4×C43C22×D412yes—
659C2×C4×C43C22×Q812yes—
660C2×C4×C43C22×Q812yes—
661C2×C4×C43C2×#4112yes—
662C2×Dic43—28no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—44no—
700C2×Dic43—44no—
701C2×Dic43C22×D412yes—
702C2×Dic43C22×D412yes—
703C2×Dic43C22×D412yes—
704C2×Dic43C22×Q812yes—
705C2×Dic43C22×Q812yes—
706C2×Dic43C2×#4112yes—
707C4×D43—28no—
708C4×D43—28no—
709C4×D43—28no—
710C4×D43—28no—
711C4×D43—28no—
712C4×D43—28no—
713C4×D43—28no—
714C4×D43—28no—
715C4×D43—44no—
716C4×D43—44no—
717C4×D43—44no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721C4×D43—44no—
722C4×D43—44no—
723C4×D43—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C2×#2473—431nomaximal, Sylow
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43C2×#12514yescomplemented
735C22×C43C23×D411yescharacteristic
736C22×C43C23×Q811yescharacteristic
737C22×C43C22×#4111yescharacteristic
738C22×C43C22×#4111yescharacteristic
739C22×C43C22×#4111yescharacteristic
740C22×C43C2×H(5,𝔽2)11yescharacteristic
741C22×C43C2×2−1+411yescharacteristic
742C2×D43—22no—
743C2×D43—22no—
744C2×D43—22no—
745C2×D43—22no—
746C2×D43—22no—
747C2×D43—22no—
748C2×D43—232no—
749C2×D43#52514yes—
750C2×D43C2×#12514yes—
751C2×D43C2×#12514yescomplemented
752C2×D43#53914yes—
753C2×D43#54614yes—
754C2×D43D4×Q814yes—
755C2×D43#55214yes—
756C2×D43#55414yes—
757C4×C43—22no—
758C4×C43—22no—
759C4×C43—22no—
760C4×C43—22no—
761C4×C43—22no—
762C4×C43—22no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771Dic43—22no—
772Dic43—22no—
773Dic43—22no—
774Dic43—22no—
775Dic43—22no—
776Dic43—22no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785C22×#125—431no—
786C23×C4⋊C4—431no—
787#2473—431no—
788#2473—431no—
789#2473—431no—
790#2473—431no—
791#2473—431no—
792#2473—431no—
793#2473—431no—
794#2473—431no—
795#2473—431no—
796#2473—431no—
797#2473—431no—
798#2473—431no—
799#2473—431no—
800#2473—431no—
801#2473—431no—
802#2473D4311yescharacteristic, direct product factor
803C2×#400—431no—
804C2×#398—431no—
805C2×#398—431no—
806C2×#398—431no—
807C2×#389—431no—
808C2×#387—431no—
809C2×#387—431no—
810C2×#385—431no—
811C2×#385—431no—
812C2×#385—431no—
813C2×#385—431no—
814C2×#380—431no—
815C2×C4×C22⋊C4—431no—
816C2×C43—24no—
817C2×C43C2×#52511yescharacteristic
818C2×C43C22×#12511yescharacteristic
819C2×C43C2×#53911yescharacteristic
820C2×C43C2×#54611yescharacteristic
821C2×C43C2×D4×Q811yescharacteristic
822C2×C43C2×#55211yescharacteristic
823C2×C43C2×#55411yescharacteristic
824D43—24no—
825D43#247318yesdirect product factor
826C24×C4—431no—
827C24×C4—431no—
828C24×C4—431no—
829C2×#125—431no—
830C2×#125—431no—
831C2×#125—431no—
832C2×#125—431no—
833C2×#125—431no—
834C2×#125—431no—
835C2×#125—431no—
836C2×#125—868no—
837C2×#125C2×D4311yescharacteristic, complemented
838C22×C4⋊C4—431no—
839C22×C4⋊C4—431no—
840C22×C4⋊C4—431no—
841C22×C4⋊C4—431no—
842C22×C4⋊C4—431no—
843C22×C4⋊C4—431no—
844C22×C4⋊C4—431no—
845C22×C4⋊C4—431no—
846C22×C4⋊C4—431no—
847C22×C4⋊C4—431no—
848C22×C4⋊C4—431no—
849C22×C4⋊C4—431no—
850C22×C4⋊C4—431no—
851C22×C4⋊C4—431no—
852C22×C4⋊C4—431no—
853C22×C4⋊C4—431no—
854C22×C4⋊C4—431no—
855C22×C4⋊C4—431no—
856C22×C4⋊C4—431no—
857C22×C4⋊C4—431no—
858C22×C4⋊C4—431no—
859C22×C4⋊C4—868no—
860C22×C4⋊C4C2×D4311yescharacteristic
861C22×C22⋊C4—431no—
862C22×C22⋊C4—431no—
863C22×C22⋊C4—431no—
864C22×C22⋊C4—431no—
865C22×C42—431no—
866C22×C42—431no—
867#400—431no—
868#400—431no—
869#400—431no—
870#400—431no—
871#400—431no—
872#400—431no—
873#400—431no—
874#400C2×D4311yescharacteristic, complemented
875#398—431no—
876#398—431no—
877#398—431no—
878#398—431no—
879#398—431no—
880#398—431no—
881#398—431no—
882#398—431no—
883#398—431no—
884#398—431no—
885#398—431no—
886#398—431no—
887#398—431no—
888#398—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398—431no—
894#398—431no—
895#398—431no—
896#398C2×D4311yescharacteristic, complemented
897#398C2×D4311yescharacteristic, complemented
898#398C2×D4311yescharacteristic, complemented
899#389—431no—
900#389—431no—
901#389—431no—
902#389—431no—
903#389—431no—
904#389—431no—
905#389—431no—
906#389C2×D4311yescharacteristic, complemented
907#387—431no—
908#387—431no—
909#387—431no—
910#387—431no—
911#387—431no—
912#387—431no—
913#387—431no—
914#387—431no—
915#387—431no—
916#387—431no—
917#387—431no—
918#387—431no—
919#387—431no—
920#387—431no—
921#387C2×D4311yescharacteristic, complemented
922#387C2×D4311yescharacteristic, complemented
923#385—431no—
924#385—431no—
925#385—431no—
926#385—431no—
927#385—431no—
928#385—431no—
929#385—431no—
930#385—431no—
931#385—431no—
932#385—431no—
933#385—431no—
934#385—431no—
935#385—431no—
936#385—431no—
937#385—431no—
938#385—431no—
939#385—431no—
940#385—431no—
941#385—431no—
942#385—431no—
943#385—431no—
944#385—431no—
945#385—431no—
946#385—431no—
947#385—431no—
948#385—431no—
949#385—431no—
950#385—431no—
951#385C2×D4311yescharacteristic
952#385C2×D4311yescharacteristic
953#385C2×D4311yescharacteristic
954#385C2×D4311yescharacteristic
955#380—431no—
956#380—431no—
957#380—431no—
958#380—431no—
959#380—431no—
960#380—431no—
961#380—431no—
962#380C2×D4311yescharacteristic
963C4×C22⋊C4—431no—
964C4×C22⋊C4—431no—
965C4×C22⋊C4—431no—
966C4×C22⋊C4—431no—
967C4×C22⋊C4—431no—
968C4×C22⋊C4—431no—
969C4×C22⋊C4—431no—
970C4×C22⋊C4C2×D4311yescharacteristic
971C2×#95—431no—
972C2×#95—431no—
973C2×#95—431no—
974C2×#95—431no—
975C2×#95—431no—
976C2×#95—431no—
977C2×#95—431no—
978C2×#95—431no—
979C2×#95—431no—
980C2×#95—431no—
981C2×#95—431no—
982C2×#95—431no—
983C43C2×#247311yescharacteristic, complemented, Sylow
984C25—431no—
985C23×C4—431no—
986C23×C4—431no—
987C23×C4—431no—
988C23×C4—431no—
989C23×C4—431no—
990C23×C4—431no—
991C23×C4—431no—
992C23×C4—431no—
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—431no—
996C23×C4—431no—
997C23×C4—431no—
998C23×C4—431no—
999C23×C4—431no—
1000C23×C4—431no—
1001C23×C4—431no—
1002C23×C4—431no—
1003C23×C4—431no—
1004C23×C4—431no—
1005C23×C4—431no—
1006C23×C4—431no—
1007C23×C4—431no—
1008C23×C4—864no—
1009C23×C4—864no—
1010C23×C4—864no—
1011C23×C4—864no—
1012C23×C4—864no—
1013C23×C4—864no—
1014C23×C4—864no—
1015C23×C4—1722no—
1016C23×C4—1722no—
1017C23×C4C22×D4311yescharacteristic
1018C23×C4C22×D4311yescharacteristic
1019C23×C4C22×D4311yescharacteristic
1020#125—24no—
1021#125—864no—
1022#125—864no—
1023#125—864no—
1024#125—864no—
1025#125—864no—
1026#125—864no—
1027#125—864no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—438no—
1033C2×C4⋊C4—431no—
1034C2×C4⋊C4—431no—
1035C2×C4⋊C4—431no—
1036C2×C4⋊C4—431no—
1037C2×C4⋊C4—431no—
1038C2×C4⋊C4—431no—
1039C2×C4⋊C4—431no—
1040C2×C4⋊C4—431no—
1041C2×C4⋊C4—431no—
1042C2×C4⋊C4—431no—
1043C2×C4⋊C4—431no—
1044C2×C4⋊C4—431no—
1045C2×C4⋊C4—431no—
1046C2×C4⋊C4—431no—
1047C2×C4⋊C4—431no—
1048C2×C4⋊C4—431no—
1049C2×C4⋊C4—431no—
1050C2×C4⋊C4—431no—
1051C2×C4⋊C4—431no—
1052C2×C4⋊C4—431no—
1053C2×C4⋊C4—431no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—864no—
1073C2×C4⋊C4—864no—
1074C2×C4⋊C4—864no—
1075C2×C4⋊C4—864no—
1076C2×C4⋊C4—864no—
1077C2×C4⋊C4—864no—
1078C2×C4⋊C4—864no—
1079C2×C4⋊C4—864no—
1080C2×C4⋊C4—864no—
1081C2×C4⋊C4—864no—
1082C2×C4⋊C4—864no—
1083C2×C4⋊C4—864no—
1084C2×C4⋊C4—864no—
1085C2×C4⋊C4—864no—
1086C2×C4⋊C4—864no—
1087C2×C4⋊C4—864no—
1088C2×C4⋊C4—864no—
1089C2×C4⋊C4—1722no—
1090C2×C4⋊C4—1722no—
1091C2×C4⋊C4—1722no—
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C4⋊C4C22×D4311yescharacteristic
1095C2×C4⋊C4C22×D4311yescharacteristic
1096C2×C4⋊C4C22×D4311yescharacteristic
1097C2×C4⋊C4C22×D4311yescharacteristic
1098C2×C4⋊C4C22×D4311yescharacteristic
1099C2×C4⋊C4C22×D4311yescharacteristic
1100C2×C4⋊C4C22×D4311yescharacteristic
1101C2×C4⋊C4C22×D4311yescharacteristic
1102C2×C4⋊C4C22×D4311yescharacteristic
1103C2×C4⋊C4C22×D4311yescharacteristic
1104C2×C4⋊C4C22×D4311yescharacteristic
1105C2×C4⋊C4C22×D4311yescharacteristic
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—438no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—864no—
1120C2×C22⋊C4—864no—
1121C2×C22⋊C4—864no—
1122C2×C22⋊C4C22×D4311yescharacteristic
1123C2×C22⋊C4C22×D4311yescharacteristic
1124C2×C22⋊C4C22×D4311yescharacteristic
1125C2×C22⋊C4C22×D4311yescharacteristic
1126C2×C42—431no—
1127C2×C42—431no—
1128C2×C42—431no—
1129C2×C42—431no—
1130C2×C42—431no—
1131C2×C42—431no—
1132C2×C42—864no—
1133C2×C42—1722no—
1134C2×C42C22×D4311yescharacteristic
1135C2×C42C22×D4311yescharacteristic
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95—431no—
1153#95—431no—
1154#95—431no—
1155#95—431no—
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95C22×D4311yescharacteristic
1173#95C22×D4311yescharacteristic
1174#95C22×D4311yescharacteristic
1175#95C22×D4311yescharacteristic
1176#95C22×D4311yescharacteristic
1177#95C22×D4311yescharacteristic
1178#95C22×D4311yescharacteristic
1179#95C22×D4311yescharacteristic
1180#95C22×D4311yescharacteristic
1181#95C22×D4311yescharacteristic
1182#95C22×D4311yescharacteristic
1183#95C22×D4311yescharacteristic
1184C24—431no—
1185C24—434no—
1186C24—434no—
1187C24—434no—
1188C24—431no—
1189C24—862no—
1190C24—862no—
1191C24—862no—
1192C24—862no—
1193C24C23×D4311yescharacteristic
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—431no—
1204C22×C4—431no—
1205C22×C4—431no—
1206C22×C4—431no—
1207C22×C4—431no—
1208C22×C4—431no—
1209C22×C4—434no—
1210C22×C4—434no—
1211C22×C4—434no—
1212C22×C4—434no—
1213C22×C4—434no—
1214C22×C4—434no—
1215C22×C4—431no—
1216C22×C4—431no—
1217C22×C4—431no—
1218C22×C4—431no—
1219C22×C4—431no—
1220C22×C4—431no—
1221C22×C4—431no—
1222C22×C4—431no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—862no—
1233C22×C4—862no—
1234C22×C4—862no—
1235C22×C4—862no—
1236C22×C4—862no—
1237C22×C4—862no—
1238C22×C4—862no—
1239C22×C4—862no—
1240C22×C4—862no—
1241C22×C4—8632no—
1242C22×C4—862no—
1243C22×C4—862no—
1244C22×C4—862no—
1245C22×C4—862no—
1246C22×C4—862no—
1247C22×C4—862no—
1248C22×C4—862no—
1249C22×C4—862no—
1250C22×C4—862no—
1251C22×C4—862no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—1721no—
1282C22×C4—1721no—
1283C22×C4—1721no—
1284C22×C4—1721no—
1285C22×C4—17216no—
1286C22×C4—17216no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C22×C4C23×D4311yescharacteristic
1302C22×C4C23×D4311yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—434no—
1317C4⋊C4—434no—
1318C4⋊C4—434no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
1326C4⋊C4—862no—
1327C4⋊C4—862no—
1328C4⋊C4—862no—
1329C4⋊C4—862no—
1330C4⋊C4—862no—
1331C4⋊C4—862no—
1332C4⋊C4—862no—
1333C4⋊C4—862no—
1334C4⋊C4—862no—
1335C4⋊C4—862no—
1336C4⋊C4—862no—
1337C4⋊C4—862no—
1338C4⋊C4—862no—
1339C4⋊C4—862no—
1340C4⋊C4—862no—
1341C4⋊C4—862no—
1342C4⋊C4—862no—
1343C4⋊C4—862no—
1344C4⋊C4—862no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—862no—
1349C4⋊C4—1721no—
1350C4⋊C4—1721no—
1351C4⋊C4—1721no—
1352C4⋊C4—1721no—
1353C4⋊C4—1721no—
1354C4⋊C4—1721no—
1355C4⋊C4—1721no—
1356C4⋊C4—1721no—
1357C4⋊C4—1721no—
1358C4⋊C4D4×D4314yes—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—434no—
1363C22⋊C4—434no—
1364C22⋊C4—434no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—862no—
1373C22⋊C4—862no—
1374C22⋊C4Q8×D4314yes—
1375C42—22no—
1376C42—41no—
1377C42—862no—
1378C42—862no—
1379C42—862no—
1380C42—1721no—
1381C42—1721no—
1382C42—1721no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—432no—
1388C23—432no—
1389C23—432no—
1390C23—432no—
1391C23—432no—
1392C23—432no—
1393C23—432no—
1394C23—4316no—
1395C23—432no—
1396C23—432no—
1397C23—432no—
1398C23—868no—
1399C23—868no—
1400C23—868no—
1401C23—868no—
1402C23—868no—
1403C23—868no—
1404C23—861no—
1405C23—861no—
1406C23—861no—
1407C23—861no—
1408C23C2×Q8×D4312yes—
1409C23#41×D4312yes—
1410C23#41×D4312yes—
1411C23C24×D4311yescharacteristic
1412C2×C4—28no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—432no—
1452C2×C4—432no—
1453C2×C4—432no—
1454C2×C4—432no—
1455C2×C4—432no—
1456C2×C4—432no—
1457C2×C4—868no—
1458C2×C4—868no—
1459C2×C4—868no—
1460C2×C4—868no—
1461C2×C4—868no—
1462C2×C4—868no—
1463C2×C4—868no—
1464C2×C4—868no—
1465C2×C4—868no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—1724no—
1503C2×C4—1724no—
1504C2×C4—1724no—
1505C2×C4—1724no—
1506C2×C4—1724no—
1507C2×C4—1724no—
1508C2×C4—1724no—
1509C2×C4—1724no—
1510C2×C4—1724no—
1511C2×C4—1724no—
1512C2×C4—1724no—
1513C2×C4—1724no—
1514C2×C4—1724no—
1515C2×C4—1724no—
1516C2×C4C2×D4×D4312yes—
1517C2×C4C2×D4×D4312yes—
1518C2×C4C2×D4×D4312yes—
1519C2×C4C2×Q8×D4312yes—
1520C2×C4C2×Q8×D4312yes—
1521C2×C4#41×D4312yes—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—434no—
1529C22—434no—
1530C22—434no—
1531C22—434no—
1532C22—434no—
1533C22—434no—
1534C22—434no—
1535C22—434no—
1536C22—8632no—
1537C22—862no—
1538C22—862no—
1539C22—862no—
1540C22—862no—
1541C22—862no—
1542C22—862no—
1543C22#125×D4314yescomplemented
1544C22C22×D4×D4311yescharacteristic
1545C22C22×Q8×D4311yescharacteristic
1546C22C2×#41×D4311yescharacteristic
1547C22C2×#41×D4311yescharacteristic
1548C22C2×#41×D4311yescharacteristic
1549C22H(5,𝔽2)×D4311yescharacteristic
1550C222−1+4×D4311yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—862no—
1566C4—862no—
1567C4—862no—
1568C4—862no—
1569C4—862no—
1570C4—862no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C4—1721no—
1577C4—1721no—
1578C4—1721no—
1579C2—24no—
1580C2—438no—
1581C2—864no—
1582C2#525×D4311yescharacteristic
1583C2C2×#125×D4311yescharacteristic
1584C2#539×D4311yescharacteristic
1585C2#546×D4311yescharacteristic
1586C2D4×Q8×D4311yescharacteristic
1587C2#552×D4311yescharacteristic
1588C2#554×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2473C2
prime radicalC24×D43C23
hypercenter#2473D43
hypocenterC43C2×#2473
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#125×D43C2semidirect
3. #19138743C2semidirect
4. #19138742C2semidirect
5. #19138741C2semidirect
6. #19138740C2semidirect
7. #19138739C2semidirect
8. #19138738C2semidirect
9. #19138737C2semidirect
10. #19138736C2semidirect
11. #19138735C2semidirect
12. #19138734C2semidirect
13. #19138733C2semidirect
14. #19138732C2semidirect
15. #19138731C2semidirect
16. #19138730C2semidirect
17. #19138729C2semidirect
18. #400×D43C2semidirect
19. #398×D43C2semidirect
20. #398×D43C2semidirect
21. #398×D43C2semidirect
22. #389×D43C2semidirect
23. #387×D43C2semidirect
24. #387×D43C2semidirect
31. C43×#2473C2semidirect
35. C2×#13063317C22semidirect
36. C2×#13063316C22semidirect
37. C2×#13063316C22semidirect
38. C2×#13063315C22semidirect
39. C2×#13063315C22semidirect
40. C2×#13063315C22semidirect
41. C2×#13063315C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
74. #14582840C22semidirect
75. #14582839C22semidirect
76. #14582838C22semidirect
77. #14582837C22semidirect
78. #14582833C22semidirect
79. #14582833C22semidirect
80. #14582833C22semidirect
81. #14582833C22semidirect
82. #14582833C22semidirect
83. #14582833C22semidirect
84. #14582832C22semidirect
85. #14582832C22semidirect
86. #14582832C22semidirect
87. #14582832C22semidirect
88. #14582832C22semidirect
89. #14582832C22semidirect
90. #14582831C22semidirect
91. #14582831C22semidirect
92. #14582831C22semidirect
93. #14582830C22semidirect
94. #14582830C22semidirect
95. #14582830C22semidirect
96. #14582829C22semidirect
97. #14582829C22semidirect
98. #14582829C22semidirect
99. #14582798C22semidirect
100. #14582797C22semidirect
101. #14582796C22semidirect
102. #14582796C22semidirect
103. #14582795C22semidirect
104. #14582794C22semidirect
105. #14582794C22semidirect
106. #14582786C22semidirect
107. #14582786C22semidirect
108. #14582785C22semidirect
109. #14582785C22semidirect
110. #14582784C22semidirect
111. #14582784C22semidirect
112. #14582783C22semidirect
113. #14582783C22semidirect
114. #14582782C22semidirect
115. #14582782C22semidirect
116. #14582781C22semidirect
117. #14582781C22semidirect
118. #14582780C22semidirect
119. #14582780C22semidirect
174. C2×#125×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#398C22semidirect
178. C43×#398C22semidirect
179. C43×#398C22semidirect
180. C43×#389C22semidirect
181. C43×#387C22semidirect
182. C43×#387C22semidirect
606. C22×D43#125semidirect
734. C22×C43C2×#125semidirect
751. C2×D43C2×#125semidirect
802. #2473D43direct (N × H)
825. D43#2473direct (N × H)
837. C2×#125C2×D43semidirect
874. #400C2×D43semidirect
896. #398C2×D43semidirect
897. #398C2×D43semidirect
898. #398C2×D43semidirect
906. #389C2×D43semidirect
921. #387C2×D43semidirect
922. #387C2×D43semidirect
983. C43C2×#2473semidirect
1543. C22#125×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D432
C22×C4⋊C4×D432
#191387432
#191387422
#191387412
#191387402
#191387392
#191387382
#191387372
#191387362
#191387352
#191387342
#191387332
#191387322
#191387312
#191387302
#191387292
#400×D432
#398×D432
#389×D432
#387×D432
#385×D432
#380×D432
C4×C22⋊C4×D432
C43×#24732
C2×#247343