Finite Group Databasebeta

← D43×#2474 #25264964

Subgroups — D43×#2474 #25264964

Order 11008.

2962 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#124×D43C211yesmaximal, characteristic
2C2×#117×D43C211yesmaximal, characteristic, complemented
3#19138758C211yesmaximal, characteristic, complemented
4#19138757C211yesmaximal, characteristic, complemented
5#19138756C211yesmaximal, characteristic, complemented
6#19138755C211yesmaximal, characteristic, complemented
7#19138754C211yesmaximal, characteristic, complemented
8#19138753C211yesmaximal, characteristic, complemented
9#19138752C211yesmaximal, characteristic, complemented
10#19138751C211yesmaximal, characteristic, complemented
11#19138750C211yesmaximal, characteristic, complemented
12#19138749C211yesmaximal, characteristic, complemented
13#19138748C211yesmaximal, characteristic, complemented
14#19138747C211yesmaximal, characteristic, complemented
15#19138746C211yesmaximal, characteristic, complemented
16#19138745C211yesmaximal, characteristic, complemented
17#19138744C211yesmaximal, characteristic, complemented
18#397×D43C211yesmaximal, characteristic, complemented
19#396×D43C211yesmaximal, characteristic, complemented
20#395×D43C211yesmaximal, characteristic, complemented
21#394×D43C211yesmaximal, characteristic
22#391×D43C211yesmaximal, characteristic, complemented
23#388×D43C211yesmaximal, characteristic, complemented
24#388×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic, complemented
26#388×D43C211yesmaximal, characteristic, complemented
27#387×D43C211yesmaximal, characteristic, complemented
28#386×D43C211yesmaximal, characteristic
29#385×D43C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2474C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C2×#13063314C2211yescharacteristic
36C2×#13063313C2211yescharacteristic
37C2×#13063312C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063311C2211yescharacteristic
40C2×#13063311C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42#124×D43—28no—
43C2×#13063284C2211yescharacteristic, complemented
44C2×#13063283C2211yescharacteristic, complemented
45C2×#13063283C2211yescharacteristic, complemented
46C2×#13063282C2211yescharacteristic, complemented
47C2×#13063282C2211yescharacteristic, complemented
48C2×#13063281C2211yescharacteristic, complemented
49C2×#13063281C2211yescharacteristic, complemented
50#117×D43—28no—
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×C22⋊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×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71C2×C42×D43C2211yescharacteristic
72C2×C42×D43C2211yescharacteristic
73#14582828C2211yescharacteristic, complemented
74#14582828C2211yescharacteristic, complemented
75#14582827C2211yescharacteristic, complemented
76#14582827C2211yescharacteristic, complemented
77#14582826C2211yescharacteristic, complemented
78#14582825C2211yescharacteristic, complemented
79#14582824C2211yescharacteristic, complemented
80#14582823C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582820C2211yescharacteristic, complemented
88#14582820C2211yescharacteristic, complemented
89#14582820C2211yescharacteristic, complemented
90#14582819C2211yescharacteristic, complemented
91#14582819C2211yescharacteristic, complemented
92#14582819C2211yescharacteristic, complemented
93#14582818C2211yescharacteristic, complemented
94#14582817C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582815C2211yescharacteristic
97#14582815C2211yescharacteristic
98#14582814C2211yescharacteristic
99#14582814C2211yescharacteristic
100#14582813C2211yescharacteristic
101#14582806C2211yescharacteristic, complemented
102#14582805C2211yescharacteristic, complemented
103#14582804C2211yescharacteristic, complemented
104#14582803C2211yescharacteristic, complemented
105#14582803C2211yescharacteristic, complemented
106#14582803C2211yescharacteristic, complemented
107#14582803C2211yescharacteristic, complemented
108#14582793C2211yescharacteristic, complemented
109#14582793C2211yescharacteristic, complemented
110#14582793C2211yescharacteristic, complemented
111#14582793C2211yescharacteristic, complemented
112#14582792C2211yescharacteristic, complemented
113#14582792C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic, complemented
115#14582792C2211yescharacteristic, complemented
116#14582791C2211yescharacteristic, complemented
117#14582791C2211yescharacteristic, complemented
118#14582791C2211yescharacteristic, complemented
119#14582791C2211yescharacteristic, complemented
120#14582790C2211yescharacteristic, complemented
121#14582790C2211yescharacteristic, complemented
122#14582790C2211yescharacteristic, complemented
123#14582790C2211yescharacteristic, complemented
124#14582789C2211yescharacteristic, complemented
125#14582789C2211yescharacteristic, complemented
126#14582789C2211yescharacteristic, complemented
127#14582789C2211yescharacteristic, complemented
128#14582788C2211yescharacteristic, complemented
129#14582788C2211yescharacteristic, complemented
130#14582788C2211yescharacteristic, complemented
131#14582788C2211yescharacteristic, complemented
132#14582787C2211yescharacteristic, complemented
133#14582787C2211yescharacteristic, complemented
134#14582787C2211yescharacteristic, complemented
135#14582787C2211yescharacteristic, complemented
136#14582786C2211yescharacteristic, complemented
137#14582785C2211yescharacteristic, complemented
138#14582784C2211yescharacteristic, complemented
139#14582783C2211yescharacteristic, complemented
140#14582782C2211yescharacteristic, complemented
141#14582781C2211yescharacteristic, complemented
142#14582780C2211yescharacteristic, complemented
143#14582779C2211yescharacteristic
144#14582778C2211yescharacteristic
145#14582777C2211yescharacteristic
146#14582777C2211yescharacteristic
147#14582776C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582774C2211yescharacteristic, complemented
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582772C2211yescharacteristic, complemented
154#14582771C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157C4⋊C4×Dic43C2211yescharacteristic, complemented
158C4⋊C4×Dic43C2211yescharacteristic, complemented
159C4×Dic43⋊C4C2211yescharacteristic, complemented
160C4×Dic43⋊C4C2211yescharacteristic, complemented
161C4×C4⋊Dic43C2211yescharacteristic, complemented
162#14582750C2211yescharacteristic, complemented
163#14582750C2211yescharacteristic, complemented
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×#124×C43C2211yescharacteristic
175C2×#117×C43C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#395C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic
180C43×#391C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#388C2211yescharacteristic, complemented
185C43×#387C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C4×C4⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C2×Q8×D43—24no—
195C2×Q8×D43—24no—
196C2×Q8×D43—42no—
197C22×D172C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C2×D4×D43—24no—
201C2×D4×D43—24no—
202C2×D4×D43—42no—
203C23×Dic43C2311yescharacteristic
204C22×C4×D43—24no—
205C22×C4×D43—24no—
206C22×C4×D43—24no—
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#13063314—24no—
223#13063313—24no—
224#13063312—24no—
225#13063311—24no—
226#13063311—24no—
227#13063311—24no—
228#13063311—24no—
229#13063284—24no—
230#13063283—24no—
231#13063283—24no—
232#13063282—24no—
233#13063282—24no—
234#13063281—24no—
235#13063281—24no—
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
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
257C4⋊C4×D43—24no—
258C4⋊C4×D43—24no—
259C4⋊C4×D43—24no—
260C4⋊C4×D43—24no—
261C4⋊C4×D43—24no—
262C4⋊C4×D43—42no—
263C4⋊C4×D43—42no—
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
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
297C22⋊C4×D43—24no—
298C22⋊C4×D43—24no—
299C22⋊C4×D43—24no—
300C22⋊C4×D43—24no—
301C22⋊C4×D43—24no—
302C22⋊C4×D43—24no—
303C22⋊C4×D43—24no—
304C22⋊C4×D43—24no—
305C22⋊C4×D43—42no—
306C22⋊C4×D43—42no—
307C22⋊C4×D43D418yes—
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C42×D43—24no—
321C42×D43—24no—
322C42×D43—24no—
323C42×D43—24no—
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
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×Q8×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357#124×C43—24no—
358#117×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379C2×C42×C43C2311yescharacteristic
380C2×C42×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
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—22no—
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43C2×D414yes—
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C2×Q8×C43—22no—
411C2×Q8×C43—22no—
412C2×Q8×C43—41no—
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—41no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454Q8×D43—416no—
455D4×D43—416no—
456C2×D172—22no—
457C2×D172—22no—
458C2×D172—41no—
459C2×C4×D43—232no—
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—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43C2×D414yes—
500C2×C4×D43C2×D414yes—
501C2×C4×D43#4114yes—
502C2×C4×D43#4114yes—
503C2×C4×D43#4114yes—
504C2×C4×D43#4114yes—
505C2×Dic86—22no—
506C2×Dic86—22no—
507C2×Dic86—22no—
508C2×Dic86—22no—
509C2×Dic86—22no—
510C2×Dic86—22no—
511C2×Dic86—41no—
512C2×Dic86—41no—
513C2×Dic86—41no—
514C4⋊C4×C43—22no—
515C4⋊C4×C43—22no—
516C4⋊C4×C43—22no—
517C4⋊C4×C43—22no—
518C4⋊C4×C43—22no—
519C4⋊C4×C43—41no—
520C4⋊C4×C43—41no—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43C2×D414yes—
532C42×C43—22no—
533C42×C43—22no—
534C42×C43—22no—
535C42×C43—22no—
536C22⋊Dic43—22no—
537C22⋊Dic43—22no—
538C22⋊Dic43—22no—
539C22⋊Dic43—22no—
540C22⋊Dic43—22no—
541C22⋊Dic43—22no—
542C22⋊Dic43—22no—
543C22⋊Dic43—22no—
544C22⋊Dic43—41no—
545C22⋊Dic43—41no—
546C22⋊Dic43C2×D414yes—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—22no—
550(C2×D43)⋊C4—22no—
551(C2×D43)⋊C4—22no—
552(C2×D43)⋊C4—22no—
553(C2×D43)⋊C4—22no—
554(C2×D43)⋊C4—22no—
555(C2×D43)⋊C4—22no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—22no—
559(C2×D43)⋊C4—22no—
560(C2×D43)⋊C4—22no—
561(C2×D43)⋊C4—22no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—41no—
564(C2×D43)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4—41no—
567(C2×D43)⋊C4C2×D414yes—
568(C2×D43)⋊C4C2×D414yes—
569C4⋊Dic43—22no—
570C4⋊Dic43—22no—
571C4⋊Dic43—22no—
572C4⋊Dic43—22no—
573C4⋊Dic43—22no—
574C4⋊Dic43—41no—
575C4⋊Dic43—41no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—22no—
580Dic43⋊C4—22no—
581Dic43⋊C4—22no—
582Dic43⋊C4—22no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—22no—
586Dic43⋊C4—41no—
587Dic43⋊C4—41no—
588Dic43⋊C4—41no—
589Dic43⋊C4—41no—
590C4×Dic43—22no—
591C4×Dic43—22no—
592C4×Dic43—22no—
593C4×Dic43—22no—
594C4×Dic43—22no—
595C4×Dic43—22no—
596C4×Dic43—22no—
597C4×Dic43—22no—
598C4×Dic43—22no—
599C4×Dic43—22no—
600C4×Dic43—22no—
601C4×Dic43—22no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43C22×D412yes—
616C23×C43C2511yescharacteristic
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—28no—
624C22×D43—28no—
625C22×D43—28no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—44no—
634C22×D43—44no—
635C22×D43—44no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43—44no—
644C22×D43C22×D412yes—
645C22×D43C22×D412yes—
646C22×D43C2×#4112yes—
647C22×D43C2×#4112yes—
648C22×D43C2×#4112yes—
649C22×D43C2×#4112yes—
650C22×D43H(5,𝔽2)12yes—
651C22×D432−1+412yes—
652Q8×C43—44no—
653D4×C43—44no—
654C2×C4×C43—28no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43C22×D412yes—
689C2×C4×C43C22×D412yes—
690C2×C4×C43C2×#4112yes—
691C2×C4×C43C2×#4112yes—
692C2×C4×C43C2×#4112yes—
693C2×C4×C43C2×#4112yes—
694C22⋊D43—44no—
695C22⋊D43—44no—
696C2×Dic43—28no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43C22×D412yes—
731C2×Dic43C22×D412yes—
732C2×Dic43C2×#4112yes—
733C2×Dic43C2×#4112yes—
734C2×Dic43C2×#4112yes—
735C2×Dic43C2×#4112yes—
736D172—44no—
737C4×D43—28no—
738C4×D43—28no—
739C4×D43—28no—
740C4×D43—28no—
741C4×D43—28no—
742C4×D43—28no—
743C4×D43—28no—
744C4×D43—28no—
745C4×D43—44no—
746C4×D43—44no—
747C4×D43—44no—
748C4×D43—44no—
749C4×D43—44no—
750C4×D43—44no—
751C4×D43—44no—
752Dic86—44no—
753Dic86—44no—
754Dic86—44no—
755C2×#2474—431nomaximal, Sylow
756C22×C43—22no—
757C22×C43—22no—
758C22×C43—22no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43C23×D411yescharacteristic
771C22×C43C22×#4111yescharacteristic
772C22×C43C22×#4111yescharacteristic
773C22×C43C22×#4111yescharacteristic
774C22×C43C22×#4111yescharacteristic
775C22×C43C2×H(5,𝔽2)11yescharacteristic
776C22×C43C2×2−1+411yescharacteristic
777C2×D43—22no—
778C2×D43—22no—
779C2×D43—22no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—416no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—88no—
793C2×D43#52514yes—
794C2×D43#52914yes—
795C2×D43#54214yes—
796C2×D43#54614yes—
797C2×D43#54714yes—
798C2×D43#55514yes—
799C2×D43#55614yes—
800C4×C43—22no—
801C4×C43—22no—
802C4×C43—22no—
803C4×C43—22no—
804C4×C43—22no—
805C4×C43—22no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813Dic43—22no—
814Dic43—22no—
815Dic43—22no—
816Dic43—22no—
817Dic43—22no—
818Dic43—22no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826C22×#124—431no—
827C22×#117—431no—
828#2474—431no—
829#2474—431no—
830#2474—431no—
831#2474—431no—
832#2474—431no—
833#2474—431no—
834#2474—431no—
835#2474—431no—
836#2474—431no—
837#2474—431no—
838#2474—431no—
839#2474—431no—
840#2474—431no—
841#2474—431no—
842#2474—431no—
843#2474D4311yescharacteristic, direct product factor
844C2×#397—431no—
845C2×#396—431no—
846C2×#395—431no—
847C2×#394—431no—
848C2×#391—431no—
849C2×#388—431no—
850C2×#388—431no—
851C2×#388—431no—
852C2×#388—431no—
853C2×#387—431no—
854C2×#386—431no—
855C2×#385—431no—
856C2×C4×C4⋊C4—431no—
857C2×C43—42no—
858C2×C43—81no—
859C2×C43C2×#52511yescharacteristic
860C2×C43C2×#52911yescharacteristic
861C2×C43C2×#54211yescharacteristic
862C2×C43C2×#54611yescharacteristic
863C2×C43C2×#54711yescharacteristic
864C2×C43C2×#55511yescharacteristic
865C2×C43C2×#55611yescharacteristic
866D43—42no—
867D43—81no—
868D43#247418yesdirect product factor
869C23×Q8—431no—
870C23×D4—431no—
871C24×C4—431no—
872C2×#124—431no—
873C2×#124—431no—
874C2×#124—431no—
875C2×#124—431no—
876C2×#124—431no—
877C2×#124—431no—
878C2×#124—431no—
879C2×#124—868no—
880C2×#124C2×D4311yescharacteristic
881C2×#117—431no—
882C2×#117—431no—
883C2×#117—431no—
884C2×#117—431no—
885C2×#117—431no—
886C2×#117—431no—
887C2×#117—431no—
888C2×#117—868no—
889C2×#117C2×D4311yescharacteristic, complemented
890C22×C4⋊C4—431no—
891C22×C4⋊C4—431no—
892C22×C4⋊C4—431no—
893C22×C4⋊C4—431no—
894C22×C4⋊C4—431no—
895C22×C4⋊C4—431no—
896C22×C4⋊C4—431no—
897C22×C22⋊C4—431no—
898C22×C22⋊C4—431no—
899C22×C22⋊C4—431no—
900C22×C22⋊C4—431no—
901C22×C22⋊C4—431no—
902C22×C22⋊C4—431no—
903C22×C22⋊C4—431no—
904C22×C22⋊C4—431no—
905C22×C22⋊C4—431no—
906C22×C22⋊C4—431no—
907C22×C22⋊C4—431no—
908C22×C42—431no—
909C22×C42—431no—
910C22×C42—431no—
911C22×C42—431no—
912#397—431no—
913#397—431no—
914#397—431no—
915#397—431no—
916#397—431no—
917#397—431no—
918#397—431no—
919#397C2×D4311yescharacteristic, complemented
920#396—431no—
921#396—431no—
922#396—431no—
923#396—431no—
924#396—431no—
925#396—431no—
926#396—431no—
927#396C2×D4311yescharacteristic, complemented
928#395—431no—
929#395—431no—
930#395—431no—
931#395—431no—
932#395—431no—
933#395—431no—
934#395—431no—
935#395C2×D4311yescharacteristic, complemented
936#394—431no—
937#394—431no—
938#394—431no—
939#394—431no—
940#394—431no—
941#394—431no—
942#394—431no—
943#394C2×D4311yescharacteristic
944#391—431no—
945#391—431no—
946#391—431no—
947#391—431no—
948#391—431no—
949#391—431no—
950#391—431no—
951#391C2×D4311yescharacteristic, complemented
952#388—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#388—431no—
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#388C2×D4311yescharacteristic, complemented
981#388C2×D4311yescharacteristic, complemented
982#388C2×D4311yescharacteristic, complemented
983#388C2×D4311yescharacteristic, complemented
984#387—431no—
985#387—431no—
986#387—431no—
987#387—431no—
988#387—431no—
989#387—431no—
990#387—431no—
991#387C2×D4311yescharacteristic, complemented
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386C2×D4311yescharacteristic
1000#385—431no—
1001#385—431no—
1002#385—431no—
1003#385—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385C2×D4311yescharacteristic, complemented
1008C4×C4⋊C4—431no—
1009C4×C4⋊C4—431no—
1010C4×C4⋊C4—431no—
1011C4×C4⋊C4—431no—
1012C4×C4⋊C4—431no—
1013C4×C4⋊C4—431no—
1014C4×C4⋊C4—431no—
1015C4×C4⋊C4C2×D4311yescharacteristic, complemented
1016C2×#95—431no—
1017C2×#95—431no—
1018C2×#95—431no—
1019C2×#95—431no—
1020C2×#95—431no—
1021C2×#95—431no—
1022C2×#95—431no—
1023C2×#95—431no—
1024C2×#95—431no—
1025C2×#95—431no—
1026C43C2×#247411yescharacteristic, complemented, Sylow
1027C25—431no—
1028C25—431no—
1029C22×Q8—431no—
1030C22×Q8—431no—
1031C22×Q8—431no—
1032C22×Q8—864no—
1033C22×Q8—864no—
1034C22×Q8—1722no—
1035C22×Q8C22×D4311yescharacteristic
1036C22×D4—431no—
1037C22×D4—431no—
1038C22×D4—431no—
1039C22×D4—864no—
1040C22×D4—864no—
1041C22×D4—1722no—
1042C22×D4C22×D4311yescharacteristic
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—431no—
1048C23×C4—431no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—431no—
1052C23×C4—431no—
1053C23×C4—431no—
1054C23×C4—431no—
1055C23×C4—431no—
1056C23×C4—431no—
1057C23×C4—431no—
1058C23×C4—431no—
1059C23×C4—864no—
1060C23×C4—864no—
1061C23×C4—864no—
1062C23×C4C22×D4311yescharacteristic
1063#124—24no—
1064#124—864no—
1065#124—864no—
1066#124—864no—
1067#124—864no—
1068#124—864no—
1069#124—864no—
1070#124—864no—
1071#117—24no—
1072#117—864no—
1073#117—864no—
1074#117—864no—
1075#117—864no—
1076#117—864no—
1077#117—864no—
1078#117—864no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—864no—
1101C2×C4⋊C4—864no—
1102C2×C4⋊C4—864no—
1103C2×C4⋊C4—864no—
1104C2×C4⋊C4—864no—
1105C2×C4⋊C4—1722no—
1106C2×C4⋊C4—1722no—
1107C2×C4⋊C4C22×D4311yescharacteristic
1108C2×C4⋊C4C22×D4311yescharacteristic
1109C2×C4⋊C4C22×D4311yescharacteristic
1110C2×C4⋊C4C22×D4311yescharacteristic
1111C2×C4⋊C4C22×D4311yescharacteristic
1112C2×C4⋊C4C22×D4311yescharacteristic
1113C2×C4⋊C4C22×D4311yescharacteristic
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—438no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—864no—
1149C2×C22⋊C4—864no—
1150C2×C22⋊C4—864no—
1151C2×C22⋊C4—864no—
1152C2×C22⋊C4—864no—
1153C2×C22⋊C4—864no—
1154C2×C22⋊C4—864no—
1155C2×C22⋊C4—864no—
1156C2×C22⋊C4—1722no—
1157C2×C22⋊C4—1722no—
1158C2×C22⋊C4C22×D4311yescharacteristic
1159C2×C22⋊C4C22×D4311yescharacteristic
1160C2×C22⋊C4C22×D4311yescharacteristic
1161C2×C22⋊C4C22×D4311yescharacteristic
1162C2×C22⋊C4C22×D4311yescharacteristic
1163C2×C22⋊C4C22×D4311yescharacteristic
1164C2×C22⋊C4C22×D4311yescharacteristic
1165C2×C22⋊C4C22×D4311yescharacteristic
1166C2×C22⋊C4C22×D4311yescharacteristic
1167C2×C22⋊C4C22×D4311yescharacteristic
1168C2×C22⋊C4C22×D4311yescharacteristic
1169C2×C42—431no—
1170C2×C42—431no—
1171C2×C42—431no—
1172C2×C42—431no—
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—431no—
1181C2×C42—864no—
1182C2×C42—864no—
1183C2×C42—864no—
1184C2×C42—864no—
1185C2×C42C22×D4311yescharacteristic
1186C2×C42C22×D4311yescharacteristic
1187C2×C42C22×D4311yescharacteristic
1188C2×C42C22×D4311yescharacteristic
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95—431no—
1210#95—431no—
1211#95—431no—
1212#95—431no—
1213#95—431no—
1214#95—431no—
1215#95—431no—
1216#95—431no—
1217#95—431no—
1218#95—431no—
1219#95C22×D4311yescharacteristic
1220#95C22×D4311yescharacteristic
1221#95C22×D4311yescharacteristic
1222#95C22×D4311yescharacteristic
1223#95C22×D4311yescharacteristic
1224#95C22×D4311yescharacteristic
1225#95C22×D4311yescharacteristic
1226#95C22×D4311yescharacteristic
1227#95C22×D4311yescharacteristic
1228#95C22×D4311yescharacteristic
1229C24—431no—
1230C24—434no—
1231C24—431no—
1232C24—431no—
1233C24—862no—
1234C24—862no—
1235C24—862no—
1236C24—862no—
1237C24—862no—
1238C24—862no—
1239C24—862no—
1240C24—862no—
1241C24—862no—
1242C24—862no—
1243C24—862no—
1244C24—862no—
1245C24—862no—
1246C24C23×D4311yescharacteristic
1247C24C23×D4311yescharacteristic
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—41no—
1251C2×Q8—862no—
1252C2×Q8—862no—
1253C2×Q8—862no—
1254C2×Q8—862no—
1255C2×Q8—862no—
1256C2×Q8—862no—
1257C2×Q8—1721no—
1258C2×Q8—1721no—
1259C2×Q8—1721no—
1260C2×Q8—17216no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—41no—
1264C2×D4—862no—
1265C2×D4—862no—
1266C2×D4—862no—
1267C2×D4—862no—
1268C2×D4—862no—
1269C2×D4—862no—
1270C2×D4—1721no—
1271C2×D4—17216no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—431no—
1278C22×C4—431no—
1279C22×C4—431no—
1280C22×C4—431no—
1281C22×C4—431no—
1282C22×C4—431no—
1283C22×C4—434no—
1284C22×C4—434no—
1285C22×C4—434no—
1286C22×C4—434no—
1287C22×C4—434no—
1288C22×C4—434no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—862no—
1308C22×C4—862no—
1309C22×C4—862no—
1310C22×C4—862no—
1311C22×C4—862no—
1312C22×C4—8632no—
1313C22×C4—862no—
1314C22×C4—862no—
1315C22×C4—862no—
1316C22×C4—862no—
1317C22×C4—862no—
1318C22×C4—862no—
1319C22×C4—862no—
1320C22×C4—862no—
1321C22×C4—862no—
1322C22×C4—862no—
1323C22×C4—862no—
1324C22×C4—862no—
1325C22×C4—862no—
1326C22×C4—862no—
1327C22×C4—862no—
1328C22×C4—862no—
1329C22×C4—862no—
1330C22×C4—862no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—862no—
1334C22×C4—862no—
1335C22×C4—862no—
1336C22×C4—862no—
1337C22×C4—862no—
1338C22×C4—862no—
1339C22×C4C23×D4311yescharacteristic
1340C22×C4C23×D4311yescharacteristic
1341C22×C4C23×D4311yescharacteristic
1342C22×C4C23×D4311yescharacteristic
1343C22×C4C23×D4311yescharacteristic
1344C22×C4C23×D4311yescharacteristic
1345C22×C4C23×D4311yescharacteristic
1346C22×C4C23×D4311yescharacteristic
1347C22×C4C23×D4311yescharacteristic
1348C22×C4C23×D4311yescharacteristic
1349C22×C4C23×D4311yescharacteristic
1350C22×C4C23×D4311yescharacteristic
1351C22×C4C23×D4311yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C4⋊C4—862no—
1363C4⋊C4—862no—
1364C4⋊C4—862no—
1365C4⋊C4—862no—
1366C4⋊C4—862no—
1367C4⋊C4—862no—
1368C4⋊C4—862no—
1369C4⋊C4—862no—
1370C4⋊C4—862no—
1371C4⋊C4—862no—
1372C4⋊C4—862no—
1373C4⋊C4—862no—
1374C4⋊C4—1721no—
1375C4⋊C4—1721no—
1376C4⋊C4—1721no—
1377C4⋊C4—1721no—
1378C4⋊C4—1721no—
1379C4⋊C4—1721no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—434no—
1391C22⋊C4—434no—
1392C22⋊C4—434no—
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—1721no—
1418C22⋊C4—1721no—
1419C22⋊C4—1721no—
1420C22⋊C4—1721no—
1421C22⋊C4—1721no—
1422C22⋊C4—1721no—
1423C22⋊C4D4×D4314yes—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—862no—
1429C42—862no—
1430C42—862no—
1431C42—862no—
1432C42—862no—
1433C42—862no—
1434C42—862no—
1435C42—862no—
1436C42—862no—
1437C42—862no—
1438C42—862no—
1439C42—862no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—432no—
1454C23—432no—
1455C23—432no—
1456C23—432no—
1457C23—432no—
1458C23—432no—
1459C23—432no—
1460C23—432no—
1461C23—868no—
1462C23—868no—
1463C23—868no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—861no—
1472C23—861no—
1473C23—861no—
1474C23—861no—
1475C23—861no—
1476C23—861no—
1477C23—1724no—
1478C23—1724no—
1479C23—1724no—
1480C23—1724no—
1481C23—1724no—
1482C23—1724no—
1483C23—1724no—
1484C23—1724no—
1485C23—1724no—
1486C23—1724no—
1487C23—1724no—
1488C23C2×D4×D4312yes—
1489C23C24×D4311yescharacteristic
1490Q8—44no—
1491Q8—1724no—
1492Q8—1724no—
1493Q8—1724no—
1494D4—44no—
1495D4—1724no—
1496D4—1724no—
1497D4—1724no—
1498C2×C4—28no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—432no—
1533C2×C4—432no—
1534C2×C4—432no—
1535C2×C4—432no—
1536C2×C4—432no—
1537C2×C4—432no—
1538C2×C4—868no—
1539C2×C4—868no—
1540C2×C4—868no—
1541C2×C4—868no—
1542C2×C4—868no—
1543C2×C4—868no—
1544C2×C4—868no—
1545C2×C4—868no—
1546C2×C4—868no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—1724no—
1581C2×C4—1724no—
1582C2×C4—1724no—
1583C2×C4—1724no—
1584C2×C4—1724no—
1585C2×C4—1724no—
1586C2×C4—1724no—
1587C2×C4C2×D4×D4312yes—
1588C2×C4C2×D4×D4312yes—
1589C2×C4#41×D4312yes—
1590C2×C4#41×D4312yes—
1591C2×C4#41×D4312yes—
1592C2×C4#41×D4312yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—434no—
1608C22—434no—
1609C22—434no—
1610C22—434no—
1611C22—434no—
1612C22—434no—
1613C22—434no—
1614C22—862no—
1615C22—862no—
1616C22—862no—
1617C22—3448no—
1618C22—17216no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22C22×D4×D4311yescharacteristic
1631C22C2×#41×D4311yescharacteristic
1632C22C2×#41×D4311yescharacteristic
1633C22C2×#41×D4311yescharacteristic
1634C22C2×#41×D4311yescharacteristic
1635C22H(5,𝔽2)×D4311yescharacteristic
1636C222−1+4×D4311yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—862no—
1651C4—862no—
1652C4—862no—
1653C4—862no—
1654C4—862no—
1655C4—862no—
1656C4—1721no—
1657C4—1721no—
1658C4—1721no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C2—42no—
1664C2—81no—
1665C2—438no—
1666C2—3441no—
1667C2—1722no—
1668C2#525×D4311yescharacteristic
1669C2#529×D4311yescharacteristic
1670C2#542×D4311yescharacteristic
1671C2#546×D4311yescharacteristic
1672C2#547×D4311yescharacteristic
1673C2#555×D4311yescharacteristic
1674C2#556×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2474C2
prime radicalC22×D4×D43C22
hypercenter#2474D43
hypocenterC43C2×#2474
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2474

Complements

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

NH ≅ G/Ntype
2. C2×#117×D43C2semidirect
3. #19138758C2semidirect
4. #19138757C2semidirect
5. #19138756C2semidirect
6. #19138755C2semidirect
7. #19138754C2semidirect
8. #19138753C2semidirect
9. #19138752C2semidirect
10. #19138751C2semidirect
11. #19138750C2semidirect
12. #19138749C2semidirect
13. #19138748C2semidirect
14. #19138747C2semidirect
15. #19138746C2semidirect
16. #19138745C2semidirect
17. #19138744C2semidirect
18. #397×D43C2semidirect
19. #396×D43C2semidirect
20. #395×D43C2semidirect
22. #391×D43C2semidirect
23. #388×D43C2semidirect
24. #388×D43C2semidirect
25. #388×D43C2semidirect
26. #388×D43C2semidirect
27. #387×D43C2semidirect
29. #385×D43C2semidirect
30. C4×C4⋊C4×D43C2semidirect
31. C43×#2474C2semidirect
43. C2×#13063284C22semidirect
44. C2×#13063283C22semidirect
45. C2×#13063283C22semidirect
46. C2×#13063282C22semidirect
47. C2×#13063282C22semidirect
48. C2×#13063281C22semidirect
49. C2×#13063281C22semidirect
73. #14582828C22semidirect
74. #14582828C22semidirect
75. #14582827C22semidirect
76. #14582827C22semidirect
77. #14582826C22semidirect
78. #14582825C22semidirect
79. #14582824C22semidirect
80. #14582823C22semidirect
81. #14582822C22semidirect
82. #14582822C22semidirect
83. #14582822C22semidirect
84. #14582821C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582820C22semidirect
88. #14582820C22semidirect
89. #14582820C22semidirect
90. #14582819C22semidirect
91. #14582819C22semidirect
92. #14582819C22semidirect
93. #14582818C22semidirect
101. #14582806C22semidirect
102. #14582805C22semidirect
103. #14582804C22semidirect
104. #14582803C22semidirect
105. #14582803C22semidirect
106. #14582803C22semidirect
107. #14582803C22semidirect
108. #14582793C22semidirect
109. #14582793C22semidirect
110. #14582793C22semidirect
111. #14582793C22semidirect
112. #14582792C22semidirect
113. #14582792C22semidirect
114. #14582792C22semidirect
115. #14582792C22semidirect
116. #14582791C22semidirect
117. #14582791C22semidirect
118. #14582791C22semidirect
119. #14582791C22semidirect
120. #14582790C22semidirect
121. #14582790C22semidirect
122. #14582790C22semidirect
123. #14582790C22semidirect
124. #14582789C22semidirect
125. #14582789C22semidirect
126. #14582789C22semidirect
127. #14582789C22semidirect
128. #14582788C22semidirect
129. #14582788C22semidirect
130. #14582788C22semidirect
131. #14582788C22semidirect
132. #14582787C22semidirect
133. #14582787C22semidirect
134. #14582787C22semidirect
135. #14582787C22semidirect
136. #14582786C22semidirect
137. #14582785C22semidirect
138. #14582784C22semidirect
139. #14582783C22semidirect
140. #14582782C22semidirect
141. #14582781C22semidirect
142. #14582780C22semidirect
150. #14582774C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
153. #14582772C22semidirect
154. #14582771C22semidirect
155. #14582770C22semidirect
156. #14582770C22semidirect
157. C4⋊C4×Dic43C22semidirect
158. C4⋊C4×Dic43C22semidirect
159. C4×Dic43⋊C4C22semidirect
160. C4×Dic43⋊C4C22semidirect
161. C4×C4⋊Dic43C22semidirect
162. #14582750C22semidirect
163. #14582750C22semidirect
175. C2×#117×C43C22semidirect
176. C43×#397C22semidirect
177. C43×#396C22semidirect
178. C43×#395C22semidirect
180. C43×#391C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
184. C43×#388C22semidirect
185. C43×#387C22semidirect
187. C43×#385C22semidirect
188. C4×C4⋊C4×C43C22semidirect
843. #2474D43direct (N × H)
868. D43#2474direct (N × H)
889. C2×#117C2×D43semidirect
919. #397C2×D43semidirect
927. #396C2×D43semidirect
935. #395C2×D43semidirect
951. #391C2×D43semidirect
980. #388C2×D43semidirect
981. #388C2×D43semidirect
982. #388C2×D43semidirect
983. #388C2×D43semidirect
991. #387C2×D43semidirect
1007. #385C2×D43semidirect
1015. C4×C4⋊C4C2×D43semidirect
1026. C43C2×#2474semidirect

Maximal subgroups

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

subgroupindex
C2×#124×D432
C2×#117×D432
#191387582
#191387572
#191387562
#191387552
#191387542
#191387532
#191387522
#191387512
#191387502
#191387492
#191387482
#191387472
#191387462
#191387452
#191387442
#397×D432
#396×D432
#395×D432
#394×D432
#391×D432
#388×D432
#387×D432
#386×D432
#385×D432
C4×C4⋊C4×D432
C43×#24742
C2×#247443