Finite Group Databasebeta

← D43×#2462 #25264581

Subgroups — D43×#2462 #25264581

Order 11008.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D43C211yesmaximal, characteristic
2C2×C4×Q8×D43C211yesmaximal, characteristic
3#19138584C211yesmaximal, characteristic, complemented
4#19138583C211yesmaximal, characteristic, complemented
5#19138582C211yesmaximal, characteristic, complemented
6#19138581C211yesmaximal, characteristic, complemented
7#19138580C211yesmaximal, characteristic, complemented
8#19138579C211yesmaximal, characteristic, complemented
9#19138578C211yesmaximal, characteristic, complemented
10#19138577C211yesmaximal, characteristic, complemented
11#19138576C211yesmaximal, characteristic, complemented
12#19138575C211yesmaximal, characteristic, complemented
13#19138574C211yesmaximal, characteristic, complemented
14#19138573C211yesmaximal, characteristic, complemented
15#19138572C211yesmaximal, characteristic, complemented
16#19138571C211yesmaximal, characteristic, complemented
17#19138570C211yesmaximal, characteristic, complemented
18#398×D43C211yesmaximal, characteristic
19#398×D43C211yesmaximal, characteristic
20#395×D43C211yesmaximal, characteristic
21#395×D43C211yesmaximal, characteristic
22#389×D43C211yesmaximal, characteristic
23#389×D43C211yesmaximal, characteristic
24#387×D43C211yesmaximal, characteristic
25#387×D43C211yesmaximal, characteristic
26#387×D43C211yesmaximal, characteristic
27#387×D43C211yesmaximal, characteristic
28#387×D43C211yesmaximal, characteristic
29#387×D43C211yesmaximal, characteristic
30C4×C4⋊C4×D43C211yesmaximal, characteristic
31C43×#2462C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C2×#13063317C2211yescharacteristic
34C2×#13063316C2211yescharacteristic
35C2×#13063316C2211yescharacteristic
36C2×#13063315C2211yescharacteristic
37C2×#13063315C2211yescharacteristic
38C2×#13063315C2211yescharacteristic
39C2×#13063315C2211yescharacteristic
40#125×D43—28no—
41C2×Q8×Dic43C2211yescharacteristic
42C2×C4×Dic86C2211yescharacteristic
43C2×C4×Dic86C2211yescharacteristic
44C2×C4×Dic86C2211yescharacteristic
45C2×#13063290C2211yescharacteristic
46C2×#13063290C2211yescharacteristic
47C2×#13063290C2211yescharacteristic
48C4×Q8×D43—28no—
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×C42×D43C2211yescharacteristic
65C2×C42×D43C2211yescharacteristic
66C2×C42×D43C2211yescharacteristic
67C2×C42×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69#14582833C2211yescharacteristic
70#14582833C2211yescharacteristic
71#14582833C2211yescharacteristic
72#14582833C2211yescharacteristic
73#14582832C2211yescharacteristic
74#14582832C2211yescharacteristic
75#14582832C2211yescharacteristic
76#14582832C2211yescharacteristic
77#14582831C2211yescharacteristic
78#14582831C2211yescharacteristic
79#14582830C2211yescharacteristic
80#14582830C2211yescharacteristic
81#14582829C2211yescharacteristic
82#14582829C2211yescharacteristic
83#14582820C2211yescharacteristic
84#14582820C2211yescharacteristic
85#14582820C2211yescharacteristic
86#14582820C2211yescharacteristic
87#14582820C2211yescharacteristic
88#14582820C2211yescharacteristic
89#14582819C2211yescharacteristic
90#14582819C2211yescharacteristic
91#14582819C2211yescharacteristic
92#14582819C2211yescharacteristic
93#14582819C2211yescharacteristic
94#14582819C2211yescharacteristic
95#14582818C2211yescharacteristic
96#14582818C2211yescharacteristic
97#14582798C2211yescharacteristic
98#14582798C2211yescharacteristic
99#14582797C2211yescharacteristic
100#14582797C2211yescharacteristic
101#14582796C2211yescharacteristic
102#14582796C2211yescharacteristic
103#14582796C2211yescharacteristic
104#14582796C2211yescharacteristic
105#14582795C2211yescharacteristic
106#14582795C2211yescharacteristic
107#14582794C2211yescharacteristic
108#14582794C2211yescharacteristic
109#14582794C2211yescharacteristic
110#14582794C2211yescharacteristic
111#14582786C2211yescharacteristic
112#14582786C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582786C2211yescharacteristic
115#14582786C2211yescharacteristic
116#14582786C2211yescharacteristic
117#14582785C2211yescharacteristic
118#14582785C2211yescharacteristic
119#14582785C2211yescharacteristic
120#14582785C2211yescharacteristic
121#14582785C2211yescharacteristic
122#14582785C2211yescharacteristic
123#14582784C2211yescharacteristic
124#14582784C2211yescharacteristic
125#14582784C2211yescharacteristic
126#14582784C2211yescharacteristic
127#14582784C2211yescharacteristic
128#14582784C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582783C2211yescharacteristic
131#14582783C2211yescharacteristic
132#14582783C2211yescharacteristic
133#14582783C2211yescharacteristic
134#14582783C2211yescharacteristic
135#14582782C2211yescharacteristic
136#14582782C2211yescharacteristic
137#14582782C2211yescharacteristic
138#14582782C2211yescharacteristic
139#14582782C2211yescharacteristic
140#14582782C2211yescharacteristic
141#14582781C2211yescharacteristic
142#14582781C2211yescharacteristic
143#14582781C2211yescharacteristic
144#14582781C2211yescharacteristic
145#14582781C2211yescharacteristic
146#14582781C2211yescharacteristic
147#14582780C2211yescharacteristic
148#14582780C2211yescharacteristic
149#14582780C2211yescharacteristic
150#14582780C2211yescharacteristic
151#14582780C2211yescharacteristic
152#14582780C2211yescharacteristic
153C4⋊C4×Dic43C2211yescharacteristic
154C4⋊C4×Dic43C2211yescharacteristic
155C4×Dic43⋊C4C2211yescharacteristic
156C4×Dic43⋊C4C2211yescharacteristic
157C4×C4⋊Dic43C2211yescharacteristic
158#14582750C2211yescharacteristic
159#14582750C2211yescharacteristic
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
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×#125×C43C2211yescharacteristic
175C2×C4×Q8×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#398C2211yescharacteristic
178C43×#395C2211yescharacteristic
179C43×#395C2211yescharacteristic
180C43×#389C2211yescharacteristic
181C43×#389C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C43×#387C2211yescharacteristic
187C43×#387C2211yescharacteristic
188C4×C4⋊C4×C43C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C2×Q8×D43—24no—
193C2×Q8×D43—24no—
194C2×Q8×D43—24no—
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
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
210#13063317—24no—
211#13063316—24no—
212#13063316—24no—
213#13063315—24no—
214#13063315—24no—
215#13063315—24no—
216#13063315—24no—
217Q8×Dic43—24no—
218C4×Dic86—24no—
219C4×Dic86—24no—
220C4×Dic86—24no—
221#13063290—24no—
222#13063290—24no—
223#13063290—24no—
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
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×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
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
269C4⋊C4×D43—24no—
270C4⋊C4×D43—24no—
271C4⋊C4×D43—24no—
272C4⋊C4×D43—24no—
273C4⋊C4×D43—24no—
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×D43D418yes—
283C4⋊C4×D43Q818yescomplemented
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C42×D43—24no—
300C42×D43—24no—
301C42×D43—24no—
302C42×D43—24no—
303C42×D43—24no—
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
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
346C22×Q8×C43C2311yescharacteristic
347#125×C43—24no—
348C4×Q8×C43—24no—
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
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×C42×C43C2311yescharacteristic
365C2×C42×C43C2311yescharacteristic
366C2×C42×C43C2311yescharacteristic
367C2×C42×C43C2311yescharacteristic
368C2×C42×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383C23×D43C2411yescharacteristic
384C2×Q8×C43—22no—
385C2×Q8×C43—22no—
386C2×Q8×C43—22no—
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×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C22×Dic43C2411yescharacteristic
404C22×Dic43C2411yescharacteristic
405C22×Dic43C2411yescharacteristic
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
408C22×Dic43C2411yescharacteristic
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417Q8×D43—232no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
423C2×C4×D43—22no—
424C2×C4×D43—22no—
425C2×C4×D43—22no—
426C2×C4×D43—22no—
427C2×C4×D43—22no—
428C2×C4×D43—22no—
429C2×C4×D43—22no—
430C2×C4×D43—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×D43C2×D414yes—
455C2×C4×D43C2×D414yes—
456C2×C4×D43C2×D414yes—
457C2×C4×D43C2×Q814yes—
458C2×C4×D43C2×Q814yes—
459C2×C4×D43C2×Q814yes—
460C2×C4×D43#4114yes—
461C2×C4×D43#4114yes—
462C2×C4×D43#4114yes—
463C2×Dic86—22no—
464C2×Dic86—22no—
465C2×Dic86—22no—
466C2×Dic86—22no—
467C2×Dic86—22no—
468C2×Dic86—22no—
469C2×Dic86—22no—
470C2×Dic86—22no—
471C2×Dic86—22no—
472C4⋊C4×C43—22no—
473C4⋊C4×C43—22no—
474C4⋊C4×C43—22no—
475C4⋊C4×C43—22no—
476C4⋊C4×C43—22no—
477C4⋊C4×C43—22no—
478C4⋊C4×C43—22no—
479C4⋊C4×C43—22no—
480C4⋊C4×C43—22no—
481C4⋊C4×C43—22no—
482C4⋊C4×C43—22no—
483C4⋊C4×C43—22no—
484C4⋊C4×C43—22no—
485C4⋊C4×C43C2×D414yes—
486C4⋊C4×C43C2×Q814yescomplemented
487C42×C43—22no—
488C42×C43—22no—
489C42×C43—22no—
490C42×C43—22no—
491C42×C43—22no—
492C4⋊Dic43—22no—
493C4⋊Dic43—22no—
494C4⋊Dic43—22no—
495C4⋊Dic43—22no—
496C4⋊Dic43—22no—
497C4⋊Dic43—22no—
498C4⋊Dic43—22no—
499C4⋊Dic43—22no—
500C4⋊Dic43—22no—
501C4⋊Dic43—22no—
502C4⋊Dic43—22no—
503C4⋊Dic43—22no—
504C4⋊Dic43—22no—
505C4⋊Dic43C2×D414yes—
506C4⋊Dic43C2×Q814yescomplemented
507Dic43⋊C4—22no—
508Dic43⋊C4—22no—
509Dic43⋊C4—22no—
510Dic43⋊C4—22no—
511Dic43⋊C4—22no—
512Dic43⋊C4—22no—
513Dic43⋊C4—22no—
514Dic43⋊C4—22no—
515Dic43⋊C4—22no—
516Dic43⋊C4—22no—
517Dic43⋊C4—22no—
518Dic43⋊C4—22no—
519Dic43⋊C4—22no—
520Dic43⋊C4—22no—
521Dic43⋊C4—22no—
522Dic43⋊C4—22no—
523Dic43⋊C4—22no—
524Dic43⋊C4—22no—
525Dic43⋊C4—22no—
526Dic43⋊C4—22no—
527Dic43⋊C4—22no—
528Dic43⋊C4—22no—
529Dic43⋊C4—22no—
530Dic43⋊C4—22no—
531Dic43⋊C4—22no—
532Dic43⋊C4—22no—
533Dic43⋊C4C2×D414yes—
534Dic43⋊C4C2×D414yes—
535Dic43⋊C4C2×Q814yescomplemented
536Dic43⋊C4C2×Q814yescomplemented
537C4×Dic43—22no—
538C4×Dic43—22no—
539C4×Dic43—22no—
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—22no—
551C4×Dic43—22no—
552C23×C43C2511yescharacteristic
553C22×D43C22×D412yes—
554C22×D43C22×Q812yes—
555C22×D43C2×#4112yes—
556C22×D43C2×#4112yes—
557C22×D43C2×#4112yes—
558C22×D432−1+412yes—
559C22×D432−1+412yes—
560Q8×C43—28no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
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×C43C22×D412yes—
598C2×C4×C43C22×D412yes—
599C2×C4×C43C22×D412yes—
600C2×C4×C43C22×Q812yes—
601C2×C4×C43C22×Q812yes—
602C2×C4×C43C22×Q812yes—
603C2×C4×C43C2×#4112yes—
604C2×C4×C43C2×#4112yes—
605C2×C4×C43C2×#4112yes—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
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×Dic43C22×D412yes—
643C2×Dic43C22×D412yes—
644C2×Dic43C22×D412yes—
645C2×Dic43C22×Q812yes—
646C2×Dic43C22×Q812yes—
647C2×Dic43C22×Q812yes—
648C2×Dic43C2×#4112yes—
649C2×Dic43C2×#4112yes—
650C2×Dic43C2×#4112yes—
651C4×D43—28no—
652C4×D43—28no—
653C4×D43—28no—
654C4×D43—28no—
655C4×D43—28no—
656C4×D43—28no—
657C4×D43—28no—
658C4×D43—28no—
659C4×D43—28no—
660C4×D43—44no—
661C4×D43—44no—
662C4×D43—44no—
663C4×D43—44no—
664C4×D43—44no—
665C4×D43—44no—
666Dic86—28no—
667Dic86—28no—
668Dic86—28no—
669C2×#2462—431nomaximal, Sylow
670C22×C43C23×D411yescharacteristic
671C22×C43C23×Q811yescharacteristic
672C22×C43C22×#4111yescharacteristic
673C22×C43C22×#4111yescharacteristic
674C22×C43C22×#4111yescharacteristic
675C22×C43C2×2−1+411yescharacteristic
676C22×C43C2×2−1+411yescharacteristic
677C2×D43#52514yes—
678C2×D43#53314yes—
679C2×D43#54114yes—
680C2×D43#54714yes—
681C2×D43D4×Q814yes—
682C2×D43#55214yes—
683C2×D43#55714yes—
684C4×C43—22no—
685C4×C43—22no—
686C4×C43—22no—
687C4×C43—22no—
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—22no—
691C4×C43—22no—
692C4×C43—22no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699Dic43—22no—
700Dic43—22no—
701Dic43—22no—
702Dic43—22no—
703Dic43—22no—
704Dic43—22no—
705Dic43—22no—
706Dic43—22no—
707Dic43—22no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712Dic43—41no—
713Dic43—41no—
714C22×#125—431no—
715C22×C4×Q8—431no—
716#2462—431no—
717#2462—431no—
718#2462—431no—
719#2462—431no—
720#2462—431no—
721#2462—431no—
722#2462—431no—
723#2462—431no—
724#2462—431no—
725#2462—431no—
726#2462—431no—
727#2462—431no—
728#2462—431no—
729#2462—431no—
730#2462—431no—
731#2462D4311yescharacteristic, direct product factor
732C2×#398—431no—
733C2×#398—431no—
734C2×#395—431no—
735C2×#395—431no—
736C2×#389—431no—
737C2×#389—431no—
738C2×#387—431no—
739C2×#387—431no—
740C2×#387—431no—
741C2×#387—431no—
742C2×#387—431no—
743C2×#387—431no—
744C2×C4×C4⋊C4—431no—
745C2×C43C2×#52511yescharacteristic
746C2×C43C2×#53311yescharacteristic
747C2×C43C2×#54111yescharacteristic
748C2×C43C2×#54711yescharacteristic
749C2×C43C2×D4×Q811yescharacteristic
750C2×C43C2×#55211yescharacteristic
751C2×C43C2×#55711yescharacteristic
752D43#246218yesdirect product factor
753C23×Q8—431no—
754C2×#125—431no—
755C2×#125—431no—
756C2×#125—431no—
757C2×#125—431no—
758C2×#125—431no—
759C2×#125—431no—
760C2×#125—431no—
761C2×#125—868no—
762C2×#125C2×D4311yescharacteristic
763C2×C4×Q8—431no—
764C2×C4×Q8—431no—
765C2×C4×Q8—431no—
766C2×C4×Q8—431no—
767C2×C4×Q8—431no—
768C2×C4×Q8—431no—
769C2×C4×Q8—431no—
770C2×C4×Q8—868no—
771C2×C4×Q8C2×D4311yescharacteristic
772C22×C4⋊C4—431no—
773C22×C4⋊C4—431no—
774C22×C4⋊C4—431no—
775C22×C4⋊C4—431no—
776C22×C4⋊C4—431no—
777C22×C4⋊C4—431no—
778C22×C4⋊C4—431no—
779C22×C4⋊C4—431no—
780C22×C4⋊C4—431no—
781C22×C4⋊C4—431no—
782C22×C4⋊C4—431no—
783C22×C4⋊C4—431no—
784C22×C4⋊C4—431no—
785C22×C4⋊C4—431no—
786C22×C4⋊C4—431no—
787C22×C42—431no—
788C22×C42—431no—
789C22×C42—431no—
790C22×C42—431no—
791C22×C42—431no—
792#398—431no—
793#398—431no—
794#398—431no—
795#398—431no—
796#398—431no—
797#398—431no—
798#398—431no—
799#398—431no—
800#398—431no—
801#398—431no—
802#398—431no—
803#398—431no—
804#398—431no—
805#398—431no—
806#398C2×D4311yescharacteristic
807#398C2×D4311yescharacteristic
808#395—431no—
809#395—431no—
810#395—431no—
811#395—431no—
812#395—431no—
813#395—431no—
814#395—431no—
815#395—431no—
816#395—431no—
817#395—431no—
818#395—431no—
819#395—431no—
820#395—431no—
821#395—431no—
822#395C2×D4311yescharacteristic
823#395C2×D4311yescharacteristic
824#389—431no—
825#389—431no—
826#389—431no—
827#389—431no—
828#389—431no—
829#389—431no—
830#389—431no—
831#389—431no—
832#389—431no—
833#389—431no—
834#389—431no—
835#389—431no—
836#389—431no—
837#389—431no—
838#389C2×D4311yescharacteristic
839#389C2×D4311yescharacteristic
840#387—431no—
841#387—431no—
842#387—431no—
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
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#387—431no—
862#387—431no—
863#387—431no—
864#387—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387—431no—
878#387—431no—
879#387—431no—
880#387—431no—
881#387—431no—
882#387C2×D4311yescharacteristic
883#387C2×D4311yescharacteristic
884#387C2×D4311yescharacteristic
885#387C2×D4311yescharacteristic
886#387C2×D4311yescharacteristic
887#387C2×D4311yescharacteristic
888C4×C4⋊C4—431no—
889C4×C4⋊C4—431no—
890C4×C4⋊C4—431no—
891C4×C4⋊C4—431no—
892C4×C4⋊C4—431no—
893C4×C4⋊C4—431no—
894C4×C4⋊C4—431no—
895C4×C4⋊C4C2×D4311yescharacteristic
896C2×#95—431no—
897C2×#95—431no—
898C2×#95—431no—
899C2×#95—431no—
900C2×#95—431no—
901C2×#95—431no—
902C2×#95—431no—
903C2×#95—431no—
904C2×#95—431no—
905C2×#95—431no—
906C2×#95—431no—
907C2×#95—431no—
908C2×#95—431no—
909C2×#95—431no—
910C43C2×#246211yescharacteristic, complemented, Sylow
911C22×Q8—431no—
912C22×Q8—431no—
913C22×Q8—431no—
914C22×Q8—864no—
915C22×Q8—864no—
916C22×Q8—864no—
917C22×Q8C22×D4311yescharacteristic
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C23×C4—431no—
925C23×C4—431no—
926C23×C4—431no—
927C23×C4—431no—
928C23×C4—431no—
929C23×C4—431no—
930C23×C4—431no—
931C23×C4—431no—
932C23×C4—431no—
933#125—24no—
934#125—864no—
935#125—864no—
936#125—864no—
937#125—864no—
938#125—864no—
939#125—864no—
940#125—864no—
941C4×Q8—24no—
942C4×Q8—864no—
943C4×Q8—864no—
944C4×Q8—864no—
945C4×Q8—864no—
946C4×Q8—864no—
947C4×Q8—864no—
948C4×Q8—864no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—438no—
956C2×C4⋊C4—438no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4—431no—
965C2×C4⋊C4—431no—
966C2×C4⋊C4—431no—
967C2×C4⋊C4—431no—
968C2×C4⋊C4—431no—
969C2×C4⋊C4—431no—
970C2×C4⋊C4—431no—
971C2×C4⋊C4—431no—
972C2×C4⋊C4—431no—
973C2×C4⋊C4—431no—
974C2×C4⋊C4—431no—
975C2×C4⋊C4—431no—
976C2×C4⋊C4—431no—
977C2×C4⋊C4—431no—
978C2×C4⋊C4—431no—
979C2×C4⋊C4—431no—
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—864no—
997C2×C4⋊C4—864no—
998C2×C4⋊C4—864no—
999C2×C4⋊C4—864no—
1000C2×C4⋊C4—864no—
1001C2×C4⋊C4—864no—
1002C2×C4⋊C4—864no—
1003C2×C4⋊C4—864no—
1004C2×C4⋊C4—864no—
1005C2×C4⋊C4—864no—
1006C2×C4⋊C4—864no—
1007C2×C4⋊C4—864no—
1008C2×C4⋊C4—864no—
1009C2×C4⋊C4C22×D4311yescharacteristic
1010C2×C4⋊C4C22×D4311yescharacteristic
1011C2×C4⋊C4C22×D4311yescharacteristic
1012C2×C4⋊C4C22×D4311yescharacteristic
1013C2×C4⋊C4C22×D4311yescharacteristic
1014C2×C4⋊C4C22×D4311yescharacteristic
1015C2×C4⋊C4C22×D4311yescharacteristic
1016C2×C4⋊C4C22×D4311yescharacteristic
1017C2×C4⋊C4C22×D4311yescharacteristic
1018C2×C4⋊C4C22×D4311yescharacteristic
1019C2×C4⋊C4C22×D4311yescharacteristic
1020C2×C4⋊C4C22×D4311yescharacteristic
1021C2×C4⋊C4C22×D4311yescharacteristic
1022C2×C4⋊C4C22×D4311yescharacteristic
1023C2×C4⋊C4C22×D4311yescharacteristic
1024C2×C42—431no—
1025C2×C42—431no—
1026C2×C42—431no—
1027C2×C42—431no—
1028C2×C42—431no—
1029C2×C42—431no—
1030C2×C42—431no—
1031C2×C42—431no—
1032C2×C42—431no—
1033C2×C42—431no—
1034C2×C42—431no—
1035C2×C42—431no—
1036C2×C42—431no—
1037C2×C42—431no—
1038C2×C42—431no—
1039C2×C42—864no—
1040C2×C42—864no—
1041C2×C42—864no—
1042C2×C42—864no—
1043C2×C42—864no—
1044C2×C42C22×D4311yescharacteristic
1045C2×C42C22×D4311yescharacteristic
1046C2×C42C22×D4311yescharacteristic
1047C2×C42C22×D4311yescharacteristic
1048C2×C42C22×D4311yescharacteristic
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
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#95C22×D4311yescharacteristic
1092#95C22×D4311yescharacteristic
1093#95C22×D4311yescharacteristic
1094#95C22×D4311yescharacteristic
1095#95C22×D4311yescharacteristic
1096#95C22×D4311yescharacteristic
1097#95C22×D4311yescharacteristic
1098#95C22×D4311yescharacteristic
1099#95C22×D4311yescharacteristic
1100#95C22×D4311yescharacteristic
1101#95C22×D4311yescharacteristic
1102#95C22×D4311yescharacteristic
1103#95C22×D4311yescharacteristic
1104#95C22×D4311yescharacteristic
1105C24—431no—
1106C2×Q8—22no—
1107C2×Q8—22no—
1108C2×Q8—22no—
1109C2×Q8—862no—
1110C2×Q8—862no—
1111C2×Q8—862no—
1112C2×Q8—862no—
1113C2×Q8—862no—
1114C2×Q8—862no—
1115C2×Q8—8632no—
1116C2×Q8—862no—
1117C2×Q8—862no—
1118C2×Q8—862no—
1119C22×C4—431no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—431no—
1125C22×C4—431no—
1126C22×C4—431no—
1127C22×C4—431no—
1128C22×C4—434no—
1129C22×C4—434no—
1130C22×C4—434no—
1131C22×C4—434no—
1132C22×C4—434no—
1133C22×C4—434no—
1134C22×C4—434no—
1135C22×C4—434no—
1136C22×C4—434no—
1137C22×C4—431no—
1138C22×C4—431no—
1139C22×C4—431no—
1140C22×C4—431no—
1141C22×C4—431no—
1142C22×C4—431no—
1143C22×C4—862no—
1144C22×C4—862no—
1145C22×C4—862no—
1146C22×C4—862no—
1147C22×C4—862no—
1148C22×C4—862no—
1149C22×C4—862no—
1150C22×C4—862no—
1151C22×C4—862no—
1152C22×C4—862no—
1153C22×C4—862no—
1154C22×C4—862no—
1155C22×C4—862no—
1156C22×C4—862no—
1157C22×C4—862no—
1158C22×C4—862no—
1159C22×C4—862no—
1160C22×C4—862no—
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×C4C23×D4311yescharacteristic
1180C22×C4C23×D4311yescharacteristic
1181C22×C4C23×D4311yescharacteristic
1182C22×C4C23×D4311yescharacteristic
1183C22×C4C23×D4311yescharacteristic
1184C22×C4C23×D4311yescharacteristic
1185C22×C4C23×D4311yescharacteristic
1186C22×C4C23×D4311yescharacteristic
1187C22×C4C23×D4311yescharacteristic
1188C22×C4C23×D4311yescharacteristic
1189C22×C4C23×D4311yescharacteristic
1190C22×C4C23×D4311yescharacteristic
1191C22×C4C23×D4311yescharacteristic
1192C22×C4C23×D4311yescharacteristic
1193C22×C4C23×D4311yescharacteristic
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—434no—
1208C4⋊C4—434no—
1209C4⋊C4—434no—
1210C4⋊C4—434no—
1211C4⋊C4—434no—
1212C4⋊C4—434no—
1213C4⋊C4—862no—
1214C4⋊C4—862no—
1215C4⋊C4—862no—
1216C4⋊C4—862no—
1217C4⋊C4—862no—
1218C4⋊C4—862no—
1219C4⋊C4—862no—
1220C4⋊C4—862no—
1221C4⋊C4—862no—
1222C4⋊C4—862no—
1223C4⋊C4—862no—
1224C4⋊C4—862no—
1225C4⋊C4—862no—
1226C4⋊C4—862no—
1227C4⋊C4—862no—
1228C4⋊C4—862no—
1229C4⋊C4—862no—
1230C4⋊C4—862no—
1231C4⋊C4—862no—
1232C4⋊C4—862no—
1233C4⋊C4—862no—
1234C4⋊C4—862no—
1235C4⋊C4—862no—
1236C4⋊C4—862no—
1237C4⋊C4—862no—
1238C4⋊C4—862no—
1239C4⋊C4—862no—
1240C4⋊C4—862no—
1241C4⋊C4—862no—
1242C4⋊C4—862no—
1243C4⋊C4—862no—
1244C4⋊C4—862no—
1245C4⋊C4—862no—
1246C4⋊C4—862no—
1247C4⋊C4—862no—
1248C4⋊C4—862no—
1249C4⋊C4—862no—
1250C4⋊C4—862no—
1251C4⋊C4—862no—
1252C4⋊C4D4×D4314yes—
1253C4⋊C4Q8×D4314yescomplemented
1254C42—22no—
1255C42—22no—
1256C42—22no—
1257C42—22no—
1258C42—22no—
1259C42—862no—
1260C42—862no—
1261C42—862no—
1262C42—862no—
1263C42—862no—
1264C42—862no—
1265C42—862no—
1266C42—862no—
1267C42—862no—
1268C42—862no—
1269C42—862no—
1270C42—862no—
1271C42—862no—
1272C42—862no—
1273C42—862no—
1274C23—432no—
1275C23—432no—
1276C23—432no—
1277C23—432no—
1278C23—432no—
1279C23—432no—
1280C23—432no—
1281C23C24×D4311yescharacteristic
1282Q8—28no—
1283Q8—868no—
1284Q8—868no—
1285Q8—868no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—432no—
1323C2×C4—432no—
1324C2×C4—432no—
1325C2×C4—432no—
1326C2×C4—432no—
1327C2×C4—432no—
1328C2×C4—432no—
1329C2×C4—432no—
1330C2×C4—432no—
1331C2×C4—868no—
1332C2×C4—868no—
1333C2×C4—868no—
1334C2×C4—868no—
1335C2×C4—868no—
1336C2×C4—868no—
1337C2×C4—868no—
1338C2×C4—868no—
1339C2×C4—868no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—861no—
1362C2×C4—861no—
1363C2×C4—861no—
1364C2×C4—861no—
1365C2×C4—861no—
1366C2×C4—861no—
1367C2×C4—861no—
1368C2×C4—861no—
1369C2×C4—861no—
1370C2×C4—861no—
1371C2×C4—861no—
1372C2×C4—861no—
1373C2×C4—861no—
1374C2×C4—861no—
1375C2×C4—861no—
1376C2×C4—1724no—
1377C2×C4—1724no—
1378C2×C4—1724no—
1379C2×C4—1724no—
1380C2×C4—1724no—
1381C2×C4—1724no—
1382C2×C4C2×D4×D4312yes—
1383C2×C4C2×D4×D4312yes—
1384C2×C4C2×D4×D4312yes—
1385C2×C4C2×Q8×D4312yes—
1386C2×C4C2×Q8×D4312yes—
1387C2×C4C2×Q8×D4312yes—
1388C2×C4#41×D4312yes—
1389C2×C4#41×D4312yes—
1390C2×C4#41×D4312yes—
1391C22—434no—
1392C22—434no—
1393C22—434no—
1394C22—434no—
1395C22—434no—
1396C22—434no—
1397C22—434no—
1398C22C22×D4×D4311yescharacteristic
1399C22C22×Q8×D4311yescharacteristic
1400C22C2×#41×D4311yescharacteristic
1401C22C2×#41×D4311yescharacteristic
1402C22C2×#41×D4311yescharacteristic
1403C222−1+4×D4311yescharacteristic
1404C222−1+4×D4311yescharacteristic
1405C4—22no—
1406C4—22no—
1407C4—22no—
1408C4—22no—
1409C4—22no—
1410C4—22no—
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—862no—
1421C4—862no—
1422C4—862no—
1423C4—862no—
1424C4—862no—
1425C4—862no—
1426C4—862no—
1427C4—862no—
1428C4—862no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C4—1721no—
1435C2—438no—
1436C2#525×D4311yescharacteristic
1437C2#533×D4311yescharacteristic
1438C2#541×D4311yescharacteristic
1439C2#547×D4311yescharacteristic
1440C2D4×Q8×D4311yescharacteristic
1441C2#552×D4311yescharacteristic
1442C2#557×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2462C2
prime radicalC23×D43C24
hypercenter#2462D43
hypocenterC43C2×#2462
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2462

Complements

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

NH ≅ G/Ntype
3. #19138584C2semidirect
4. #19138583C2semidirect
5. #19138582C2semidirect
6. #19138581C2semidirect
7. #19138580C2semidirect
8. #19138579C2semidirect
9. #19138578C2semidirect
10. #19138577C2semidirect
11. #19138576C2semidirect
12. #19138575C2semidirect
13. #19138574C2semidirect
14. #19138573C2semidirect
15. #19138572C2semidirect
16. #19138571C2semidirect
17. #19138570C2semidirect
31. C43×#2462C2semidirect
283. C4⋊C4×D43Q8semidirect
486. C4⋊C4×C43C2×Q8semidirect
506. C4⋊Dic43C2×Q8semidirect
535. Dic43⋊C4C2×Q8semidirect
536. Dic43⋊C4C2×Q8semidirect
731. #2462D43direct (N × H)
752. D43#2462direct (N × H)
910. C43C2×#2462semidirect
1253. C4⋊C4Q8×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D432
C2×C4×Q8×D432
#191385842
#191385832
#191385822
#191385812
#191385802
#191385792
#191385782
#191385772
#191385762
#191385752
#191385742
#191385732
#191385722
#191385712
#191385702
#398×D432
#395×D432
#389×D432
#387×D432
C4×C4⋊C4×D432
C43×#24622
C2×#246243