Finite Group Databasebeta

← #25265380

Subgroups — #25265380

Order 11008.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583451C211yesmaximal, characteristic, complemented
2C22×#13063281C211yesmaximal, characteristic
3#19138318C211yesmaximal, characteristic, complemented
4#19138316C211yesmaximal, characteristic, complemented
5#19138303C211yesmaximal, characteristic, complemented
6#19138301C211yesmaximal, characteristic, complemented
7#19138296C211yesmaximal, characteristic, complemented
8#19138294C211yesmaximal, characteristic, complemented
9#19138281C211yesmaximal, characteristic, complemented
10#19138279C211yesmaximal, characteristic, complemented
11#19138277C211yesmaximal, characteristic, complemented
12#19138275C211yesmaximal, characteristic, complemented
13#19138269C211yesmaximal, characteristic, complemented
14#19138267C211yesmaximal, characteristic, complemented
15#19138261C211yesmaximal, characteristic
16#19138256C211yesmaximal, characteristic
17#19138256C211yesmaximal, characteristic
18#19137870C211yesmaximal, characteristic, complemented
19#19137870C211yesmaximal, characteristic, complemented
20#19137864C211yesmaximal, characteristic, complemented
21#19137862C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic43C211yesmaximal, characteristic, complemented
23#19137127C211yesmaximal, characteristic, complemented
24#19137127C211yesmaximal, characteristic, complemented
25#19137123C211yesmaximal, characteristic, complemented
26#19137074C211yesmaximal, characteristic, complemented
27#19137074C211yesmaximal, characteristic, complemented
28#19136997C211yesmaximal, characteristic, complemented
29#19136973C211yesmaximal, characteristic
30C2×C22⋊C4×Dic43C211yesmaximal, characteristic
31C43×#2437C211yesmaximal, characteristic
32C24×Dic43C2211yescharacteristic
33#14583451—28no—
34C2×#13063324C2211yescharacteristic, complemented
35C2×#13063323C2211yescharacteristic, complemented
36C2×#13063315C2211yescharacteristic, complemented
37C2×#13063315C2211yescharacteristic, complemented
38C2×#13063304C2211yescharacteristic
39C2×#13063304C2211yescharacteristic
40C2×#13063302C2211yescharacteristic
41C2×#13063302C2211yescharacteristic
42C2×#13063302C2211yescharacteristic
43C2×#13063302C2211yescharacteristic
44C2×Q8×Dic43C2211yescharacteristic, complemented
45C2×#13063290C2211yescharacteristic, complemented
46C2×#13063290C2211yescharacteristic, complemented
47C2×#13063290C2211yescharacteristic, complemented
48C2×#13063281—28no—
49C2×#13063281C2211yescharacteristic
50C2×#13063281C2211yescharacteristic
51C2×#13063281C2211yescharacteristic
52C2×#13063281C2211yescharacteristic
53C2×#13063281C2211yescharacteristic
54C2×#13063281C2211yescharacteristic
55C2×#13063281C2211yescharacteristic
56C2×#13063281C2211yescharacteristic
57C2×#13063281C2211yescharacteristic
58C2×#13063281C2211yescharacteristic
59C22×Dic43⋊C4C2211yescharacteristic
60C22×Dic43⋊C4C2211yescharacteristic
61C22×C22⋊Dic43C2211yescharacteristic
62C22×C22⋊Dic43C2211yescharacteristic
63C22×C4×Dic43C2211yescharacteristic
64C22×C4×Dic43C2211yescharacteristic
65C22×C4×Dic43C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic
67#14582840C2211yescharacteristic, complemented
68#14582840C2211yescharacteristic, complemented
69#14582839C2211yescharacteristic, complemented
70#14582837C2211yescharacteristic, complemented
71#14582835C2211yescharacteristic
72#14582835C2211yescharacteristic
73#14582835C2211yescharacteristic
74#14582833C2211yescharacteristic, complemented
75#14582833C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582830C2211yescharacteristic, complemented
79#14582830C2211yescharacteristic, complemented
80#14582829C2211yescharacteristic, complemented
81#14582829C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic
83#14582822C2211yescharacteristic
84#14582822C2211yescharacteristic
85#14582822C2211yescharacteristic
86#14582822C2211yescharacteristic
87#14582822C2211yescharacteristic
88#14582820C2211yescharacteristic, complemented
89#14582819C2211yescharacteristic, complemented
90#14582819C2211yescharacteristic, complemented
91#14582818C2211yescharacteristic, complemented
92#14582811C2211yescharacteristic
93#14582811C2211yescharacteristic
94#14582811C2211yescharacteristic
95#14582806C2211yescharacteristic, complemented
96#14582804C2211yescharacteristic, complemented
97#14582803C2211yescharacteristic, complemented
98#14582803C2211yescharacteristic, complemented
99#14582798C2211yescharacteristic, complemented
100#14582796C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582796C2211yescharacteristic, complemented
103#14582796C2211yescharacteristic, complemented
104#14582795C2211yescharacteristic, complemented
105#14582794C2211yescharacteristic, complemented
106#14582794C2211yescharacteristic, complemented
107#14582794C2211yescharacteristic, complemented
108#14582794C2211yescharacteristic, complemented
109#14582794C2211yescharacteristic, complemented
110#14582794C2211yescharacteristic, complemented
111#14582785C2211yescharacteristic, complemented
112#14582785C2211yescharacteristic, complemented
113#14582784C2211yescharacteristic, complemented
114#14582784C2211yescharacteristic, complemented
115#14582781C2211yescharacteristic, complemented
116#14582781C2211yescharacteristic, complemented
117#14582780C2211yescharacteristic, complemented
118#14582780C2211yescharacteristic, complemented
119#14582774C2211yescharacteristic
120#14582774C2211yescharacteristic
121#14582774C2211yescharacteristic
122#14582774C2211yescharacteristic
123#14582772C2211yescharacteristic
124#14582772C2211yescharacteristic
125#14582772C2211yescharacteristic
126#14582772C2211yescharacteristic
127#14582771C2211yescharacteristic
128#14582771C2211yescharacteristic
129#14582771C2211yescharacteristic
130#14582771C2211yescharacteristic
131#14582768C2211yescharacteristic, complemented
132#14582768C2211yescharacteristic, complemented
133#14582763C2211yescharacteristic, complemented
134#14582763C2211yescharacteristic, complemented
135#14582760C2211yescharacteristic
136#14582760C2211yescharacteristic
137#14582759C2211yescharacteristic
138#14582759C2211yescharacteristic
139#14582757C2211yescharacteristic
140#14582757C2211yescharacteristic
141#14582757C2211yescharacteristic
142#14582757C2211yescharacteristic
143#14582757C2211yescharacteristic
144#14582757C2211yescharacteristic
145#14582757C2211yescharacteristic
146#14582757C2211yescharacteristic
147#14582755C2211yescharacteristic
148C4⋊C4×Dic43C2211yescharacteristic, complemented
149C4⋊C4×Dic43C2211yescharacteristic, complemented
150C4⋊C4×Dic43C2211yescharacteristic, complemented
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154#14582750C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156#14582750C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158#14582750C2211yescharacteristic, complemented
159#14582750C2211yescharacteristic, complemented
160C22⋊C4×Dic43C2211yescharacteristic
161C22⋊C4×Dic43C2211yescharacteristic
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C22⋊C4×Dic43C2211yescharacteristic
170C22⋊C4×Dic43C2211yescharacteristic
171C22⋊C4×Dic43C2211yescharacteristic
172C2×C43⋊#95C2211yescharacteristic
173C2×C43⋊#95C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic
176C22×C22⋊C4×C43C2211yescharacteristic
177C22×C22⋊C4×C43C2211yescharacteristic
178C43×#399C2211yescharacteristic
179C43×#396C2211yescharacteristic
180C43×#396C2211yescharacteristic
181C43×#393C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C43×#380C2211yescharacteristic
188C43×#379C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C23×Dic43—24no—
193C23×Dic43—24no—
194C23×Dic43Q818yescomplemented
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205#13063324—24no—
206#13063323—24no—
207#13063315—24no—
208#13063315—24no—
209#13063304—24no—
210#13063304—24no—
211#13063302—24no—
212#13063302—24no—
213#13063302—24no—
214#13063302—24no—
215Q8×Dic43—24no—
216#13063290—24no—
217#13063290—24no—
218#13063290—24no—
219#13063281—24no—
220#13063281—24no—
221#13063281—24no—
222#13063281—24no—
223#13063281—24no—
224#13063281—24no—
225#13063281—24no—
226#13063281—24no—
227#13063281—24no—
228#13063281D418yes—
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×Dic43⋊C4—24no—
239C2×Dic43⋊C4—24no—
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
269C2×Dic43⋊C4C2311yescharacteristic
270C2×C22⋊Dic43—24no—
271C2×C22⋊Dic43—24no—
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C4×Dic43—24no—
287C2×C4×Dic43—24no—
288C2×C4×Dic43—24no—
289C2×C4×Dic43—24no—
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
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
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
344C25×C43C2311yescharacteristic
345C22×Q8×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C22⋊Q8×C43—24no—
351C22⋊Q8×C43—24no—
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×C22⋊C4×C43—24no—
362C2×C22⋊C4×C43—24no—
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊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
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383C24×C43—22no—
384C24×C43—22no—
385C24×C43—22no—
386C24×C43—22no—
387C24×C43—41no—
388C24×C43—41no—
389C24×C43C2×Q814yes—
390C24×C43C2411yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C2×Q8×C43—22no—
394C2×Q8×C43—22no—
395C2×Q8×C43—41no—
396C22×C4×C43—22no—
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
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×Dic43—232no—
421C22×Dic43—22no—
422C22×Dic43—22no—
423C22×Dic43—22no—
424C22×Dic43—22no—
425C22×Dic43—22no—
426C22×Dic43—22no—
427C22×Dic43—22no—
428C22×Dic43—22no—
429C22×Dic43—22no—
430C22×Dic43—22no—
431C22×Dic43—22no—
432C22×Dic43—22no—
433C22×Dic43—22no—
434C22×Dic43—22no—
435C22×Dic43—22no—
436C22×Dic43—22no—
437C22×Dic43—22no—
438C22×Dic43—22no—
439C22×Dic43—41no—
440C22×Dic43—41no—
441C22×Dic43—41no—
442C22×Dic43—41no—
443C22×Dic43C2×D414yes—
444C22×Dic43C2×Q814yes—
445C22×Dic43C2×Q814yes—
446C22×Dic43C2×Q814yes—
447C22×Dic43C2×Q814yes—
448C22×Dic43C2×Q814yes—
449C22×Dic43C2×Q814yes—
450C22×Dic43#4114yes—
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C2×Dic86—22no—
468C2×Dic86—22no—
469C2×Dic86—22no—
470C2×Dic86—22no—
471C2×Dic86—22no—
472C2×Dic86—22no—
473C2×Dic86—41no—
474C2×Dic86—41no—
475C2×Dic86—41no—
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—41no—
483C4⋊C4×C43—41no—
484C4⋊C4×C43—41no—
485C22⋊C4×C43—22no—
486C22⋊C4×C43—22no—
487C22⋊C4×C43—22no—
488C22⋊C4×C43—22no—
489C22⋊C4×C43—22no—
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—41no—
496C22⋊C4×C43—41no—
497C22⋊C4×C43C2×D414yes—
498C22⋊C4×C43#4114yes—
499C22⋊Dic43—22no—
500C22⋊Dic43—22no—
501C22⋊Dic43—22no—
502C22⋊Dic43—22no—
503C22⋊Dic43—22no—
504C22⋊Dic43—22no—
505C22⋊Dic43—22no—
506C22⋊Dic43—22no—
507C22⋊Dic43—22no—
508C22⋊Dic43—22no—
509C22⋊Dic43—41no—
510C22⋊Dic43—41no—
511C22⋊Dic43C2×D414yes—
512C22⋊Dic43#4114yes—
513C4⋊Dic43—22no—
514C4⋊Dic43—22no—
515C4⋊Dic43—22no—
516C4⋊Dic43—22no—
517C4⋊Dic43—22no—
518C4⋊Dic43—22no—
519C4⋊Dic43—41no—
520C4⋊Dic43—41no—
521C4⋊Dic43—41no—
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⋊C4—22no—
534Dic43⋊C4—22no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4—22no—
538Dic43⋊C4—22no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—22no—
542Dic43⋊C4—22no—
543Dic43⋊C4—22no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4C2×D414yes—
551Dic43⋊C4C2×D414yes—
552C4×Dic43—22no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—22no—
556C4×Dic43—22no—
557C4×Dic43—22no—
558C4×Dic43—22no—
559C4×Dic43—22no—
560C4×Dic43—22no—
561C4×Dic43—22no—
562C4×Dic43—22no—
563C4×Dic43—22no—
564C4×Dic43—22no—
565C4×Dic43—22no—
566C4×Dic43—22no—
567C4×Dic43—22no—
568C4×Dic43—22no—
569C4×Dic43—22no—
570C4×Dic43C2×D414yes—
571C4×Dic43C2×D414yes—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—28no—
581C23×C43—28no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—44no—
589C23×C43—44no—
590C23×C43—44no—
591C23×C43—44no—
592C23×C43—44no—
593C23×C43C22×D412yes—
594C23×C43C22×Q812yes—
595C23×C43C22×Q812yes—
596C23×C43C22×Q812yes—
597C23×C43C2×#4112yes—
598C23×C43C2×#4112yes—
599C23×C43C2×#4112yes—
600C23×C43C2511yescharacteristic
601Q8×C43—44no—
602C2×C4×C43—21no—
603C2×C4×C43—21no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
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—44no—
635C2×C4×C43—44no—
636C2×C4×C43—44no—
637C2×C4×C43—44no—
638C2×C4×C43C22×D412yes—
639C2×C4×C43C22×D412yes—
640C2×C4×C43C2×#4112yes—
641C2×C4×C43C2×#4112yes—
642C2×Dic43—28no—
643C2×Dic43—21no—
644C2×Dic43—21no—
645C2×Dic43—21no—
646C2×Dic43—21no—
647C2×Dic43—21no—
648C2×Dic43—21no—
649C2×Dic43—21no—
650C2×Dic43—21no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—28no—
656C2×Dic43—28no—
657C2×Dic43—28no—
658C2×Dic43—28no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
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—44no—
684C2×Dic43—44no—
685C2×Dic43—44no—
686C2×Dic43—44no—
687C2×Dic43C22⋊Q8116yescomplemented
688C2×Dic43C22×D412yes—
689C2×Dic43C22×D412yes—
690C2×Dic43C22×D412yes—
691C2×Dic43C22×D412yes—
692C2×Dic43C22×Q812yes—
693C2×Dic43C22×Q812yes—
694C2×Dic43C22×Q812yes—
695C2×Dic43C22×Q812yes—
696C2×Dic43C2×#4112yes—
697C2×Dic43C2×#4112yes—
698C2×Dic43C2×#4112yes—
699C2×Dic43C2×#4112yes—
700Dic86—44no—
701Dic86—44no—
702Dic86—44no—
703#34739—431nomaximal, Sylow
704C22×C43—22no—
705C22×C43—22no—
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—22no—
710C22×C43—22no—
711C22×C43—22no—
712C22×C43—22no—
713C22×C43—22no—
714C22×C43—22no—
715C22×C43—22no—
716C22×C43—22no—
717C22×C43—22no—
718C22×C43—22no—
719C22×C43—416no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43C2×C22⋊Q814yes—
725C22×C43#53314yescomplemented
726C22×C43C23×D411yescharacteristic
727C22×C43C23×Q811yescharacteristic
728C22×C43C22×#4111yescharacteristic
729C22×C43C22×#4111yescharacteristic
730C22×C43C22×#4111yescharacteristic
731C22×C43#58511yescharacteristic
732C22×C43#58511yescharacteristic
733C4×C43—22no—
734C4×C43—22no—
735C4×C43—22no—
736C4×C43—22no—
737C4×C43—41no—
738C4×C43—41no—
739C4×C43—41no—
740C4×C43—41no—
741C4×C43—41no—
742C4×C43—41no—
743C4×C43—41no—
744C4×C43—41no—
745Dic43—22no—
746Dic43—22no—
747Dic43—22no—
748Dic43—22no—
749Dic43—22no—
750Dic43—22no—
751Dic43—41no—
752Dic43—41no—
753Dic43—41no—
754Dic43—41no—
755Dic43—41no—
756Dic43—41no—
757Dic43—41no—
758Dic43—41no—
759Dic43C2×C22⋊Q814yes—
760Dic43C2×C22⋊Q814yes—
761C2×#533—431no—
762C22×#117—431no—
763#2442—431no—
764#2442—431no—
765#2441—431no—
766#2441—431no—
767#2440—431no—
768#2440—431no—
769#2439—431no—
770#2439—431no—
771#2438—431no—
772#2438—431no—
773#2438—431no—
774#2438—431no—
775#2437—431no—
776#2437—431no—
777#2437—431no—
778#2437D4311yescharacteristic
779#2396—431no—
780#2396—431no—
781#2396—431no—
782#2396—431no—
783C4×C22⋊Q8—431no—
784C4×C22⋊Q8—431no—
785C4×C22⋊Q8—431no—
786C4×C22⋊Q8—431no—
787#2296—431no—
788#2296—431no—
789#2285—431no—
790#2280—431no—
791C2×C4×C22⋊C4—431no—
792C2×C43—24no—
793C2×C43—24no—
794C2×C43—42no—
795C2×C43C22×C22⋊Q811yescharacteristic
796C2×C43C2×#53311yescharacteristic
797C2×C43#345811yescharacteristic
798C2×C43D4×#4111yescharacteristic
799C2×C43D4×#4111yescharacteristic
800C2×C43#347511yescharacteristic
801C2×C43#347511yescharacteristic
802C24×C4—431no—
803#533—868no—
804C2×C4⋊Q8—431no—
805C2×C4⋊Q8—431no—
806C2×#125—431no—
807C2×#125—431no—
808C2×C22⋊Q8—431no—
809C2×C22⋊Q8—431no—
810C2×C22⋊Q8—431no—
811C2×C22⋊Q8—431no—
812C2×C22⋊Q8—431no—
813C2×C22⋊Q8—431no—
814C2×C22⋊Q8C2×D4311yescharacteristic
815C2×C22⋊Q8C2×D4311yescharacteristic
816C2×C4×Q8—431no—
817C2×C4×Q8—431no—
818C2×C4×Q8—431no—
819C2×C4×Q8—431no—
820C2×#117—431no—
821C2×#117—431no—
822C2×#117—431no—
823C2×#117—431no—
824C2×#117—431no—
825C2×#117—431no—
826C2×#117—431no—
827C2×#117—431no—
828C2×#117—431no—
829C2×#117—431no—
830C2×#117—868no—
831C22×C4⋊C4—431no—
832C22×C4⋊C4—431no—
833C22×C22⋊C4—431no—
834C22×C22⋊C4—431no—
835C22×C22⋊C4C2×D4311yescharacteristic
836C22×C22⋊C4C2×D4311yescharacteristic
837C22×C42—431no—
838C22×C42—431no—
839C22×C42—431no—
840C22×C42—431no—
841#400—431no—
842#400—431no—
843#400—431no—
844#400—431no—
845#399—431no—
846#399—431no—
847#399—431no—
848#399C2×D4311yescharacteristic
849#398—431no—
850#398—431no—
851#398—431no—
852#398—431no—
853#398—431no—
854#398—431no—
855#398—431no—
856#398—431no—
857#396—431no—
858#396—431no—
859#396—431no—
860#396—431no—
861#396—431no—
862#396—431no—
863#396C2×D4311yescharacteristic
864#396C2×D4311yescharacteristic
865#395—431no—
866#395—431no—
867#395—431no—
868#395—431no—
869#393—431no—
870#393—431no—
871#393—431no—
872#393C2×D4311yescharacteristic
873#391—431no—
874#391—431no—
875#391—431no—
876#391—431no—
877#389—431no—
878#389—431no—
879#389—431no—
880#389—431no—
881#389—431no—
882#389—431no—
883#389—431no—
884#389—431no—
885#389—431no—
886#389—431no—
887#389—431no—
888#389—431no—
889#387—431no—
890#387—431no—
891#387—431no—
892#387—431no—
893#387—431no—
894#387—431no—
895#387—431no—
896#387—431no—
897#385—431no—
898#385—431no—
899#385—431no—
900#385—431no—
901#385—431no—
902#385—431no—
903#385—431no—
904#385—431no—
905#385—431no—
906#385—431no—
907#385—431no—
908#385—431no—
909#385C2×D4311yescharacteristic
910#385C2×D4311yescharacteristic
911#385C2×D4311yescharacteristic
912#385C2×D4311yescharacteristic
913#384—431no—
914#384—431no—
915#382—431no—
916#382—431no—
917#381—431no—
918#381—431no—
919#380—431no—
920#380—431no—
921#380—431no—
922#380—431no—
923#380—431no—
924#380—431no—
925#380—431no—
926#380—431no—
927#380—431no—
928#380—431no—
929#380C2×D4311yescharacteristic
930#380C2×D4311yescharacteristic
931#379—431no—
932#379C2×D4311yescharacteristic
933C4×C4⋊C4—431no—
934C4×C4⋊C4—431no—
935C4×C4⋊C4—431no—
936C4×C4⋊C4—431no—
937C4×C4⋊C4—431no—
938C4×C4⋊C4—431no—
939C4×C4⋊C4—431no—
940C4×C4⋊C4—431no—
941C4×C4⋊C4—431no—
942C4×C4⋊C4—431no—
943C4×C4⋊C4—431no—
944C4×C4⋊C4—431no—
945C4×C22⋊C4—431no—
946C4×C22⋊C4—431no—
947C4×C22⋊C4—431no—
948C4×C22⋊C4—431no—
949C4×C22⋊C4—431no—
950C4×C22⋊C4—431no—
951C4×C22⋊C4—431no—
952C4×C22⋊C4—431no—
953C4×C22⋊C4—431no—
954C4×C22⋊C4—431no—
955C4×C22⋊C4—431no—
956C4×C22⋊C4—431no—
957C2×#95—431no—
958C2×#95—431no—
959C43#3473911yescharacteristic, complemented, Sylow
960C25C22×D4311yescharacteristic
961C22×Q8—431no—
962C22×Q8—431no—
963C22×Q8—431no—
964C22×Q8C22×D4311yescharacteristic
965C23×C4—431no—
966C23×C4—438no—
967C23×C4—431no—
968C23×C4—431no—
969C23×C4—431no—
970C23×C4—431no—
971C23×C4—431no—
972C23×C4—431no—
973C23×C4—431no—
974C23×C4—431no—
975C23×C4—431no—
976C23×C4—864no—
977C23×C4—864no—
978C23×C4C22×D4311yescharacteristic
979C23×C4C22×D4311yescharacteristic
980C23×C4C22×D4311yescharacteristic
981C23×C4C22×D4311yescharacteristic
982C4⋊Q8—864no—
983C4⋊Q8—864no—
984#125—864no—
985#125—864no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—864no—
989C22⋊Q8—864no—
990C22⋊Q8—864no—
991C22⋊Q8—864no—
992C22⋊Q8—864no—
993C22⋊Q8—864no—
994C4×Q8—864no—
995C4×Q8—864no—
996C4×Q8—864no—
997C4×Q8—864no—
998#117—438no—
999#117—864no—
1000#117—864no—
1001#117—864no—
1002#117—864no—
1003#117—864no—
1004#117—864no—
1005#117—864no—
1006#117—864no—
1007#117—864no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—431no—
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4—431no—
1013C2×C4⋊C4—431no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—431no—
1020C2×C4⋊C4—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—431no—
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—864no—
1048C2×C4⋊C4—864no—
1049C2×C4⋊C4C22×D4311yescharacteristic
1050C2×C4⋊C4C22×D4311yescharacteristic
1051C2×C4⋊C4C22×D4311yescharacteristic
1052C2×C4⋊C4C22×D4311yescharacteristic
1053C2×C4⋊C4C22×D4311yescharacteristic
1054C2×C4⋊C4C22×D4311yescharacteristic
1055C2×C4⋊C4C22×D4311yescharacteristic
1056C2×C4⋊C4C22×D4311yescharacteristic
1057C2×C4⋊C4C22×D4311yescharacteristic
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—864no—
1075C2×C22⋊C4—864no—
1076C2×C22⋊C4C22×D4311yescharacteristic
1077C2×C22⋊C4C22×D4311yescharacteristic
1078C2×C22⋊C4C22×D4311yescharacteristic
1079C2×C22⋊C4C22×D4311yescharacteristic
1080C2×C22⋊C4C22×D4311yescharacteristic
1081C2×C22⋊C4C22×D4311yescharacteristic
1082C2×C22⋊C4C22×D4311yescharacteristic
1083C2×C22⋊C4C22×D4311yescharacteristic
1084C2×C22⋊C4C22×D4311yescharacteristic
1085C2×C22⋊C4C22×D4311yescharacteristic
1086C2×C22⋊C4C22×D4311yescharacteristic
1087C2×C22⋊C4C22×D4311yescharacteristic
1088C2×C22⋊C4C22×D4311yescharacteristic
1089C2×C22⋊C4C22×D4311yescharacteristic
1090C2×C42—431no—
1091C2×C42—431no—
1092C2×C42—431no—
1093C2×C42—431no—
1094C2×C42—431no—
1095C2×C42—431no—
1096C2×C42—431no—
1097C2×C42—431no—
1098C2×C42—431no—
1099C2×C42—431no—
1100C2×C42—431no—
1101C2×C42—431no—
1102C2×C42—431no—
1103C2×C42—431no—
1104C2×C42—431no—
1105C2×C42—431no—
1106C2×C42—431no—
1107C2×C42—431no—
1108C2×C42—431no—
1109C2×C42—431no—
1110C2×C42—864no—
1111C2×C42—864no—
1112C2×C42—864no—
1113C2×C42—864no—
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
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#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—41no—
1159C24—41no—
1160C24Q8×D4314yes—
1161C24C23×D4311yescharacteristic
1162C24C23×D4311yescharacteristic
1163C24C23×D4311yescharacteristic
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—41no—
1167C2×Q8—862no—
1168C2×Q8—862no—
1169C2×Q8—862no—
1170C2×Q8—862no—
1171C2×Q8—862no—
1172C2×Q8—862no—
1173C2×Q8—1721no—
1174C2×Q8—1721no—
1175C2×Q8—1721no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—434no—
1189C22×C4—434no—
1190C22×C4—434no—
1191C22×C4—431no—
1192C22×C4—431no—
1193C22×C4—434no—
1194C22×C4—434no—
1195C22×C4—434no—
1196C22×C4—434no—
1197C22×C4—434no—
1198C22×C4—431no—
1199C22×C4—431no—
1200C22×C4—431no—
1201C22×C4—431no—
1202C22×C4—431no—
1203C22×C4—431no—
1204C22×C4—431no—
1205C22×C4—431no—
1206C22×C4—431no—
1207C22×C4—431no—
1208C22×C4—431no—
1209C22×C4—431no—
1210C22×C4—431no—
1211C22×C4—431no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—8632no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
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—1721no—
1232C22×C4—1721no—
1233C22×C4—1721no—
1234C22×C4—1721no—
1235C22×C4C23×D4311yescharacteristic
1236C22×C4C23×D4311yescharacteristic
1237C22×C4C23×D4311yescharacteristic
1238C22×C4C23×D4311yescharacteristic
1239C22×C4C23×D4311yescharacteristic
1240C22×C4C23×D4311yescharacteristic
1241C22×C4C23×D4311yescharacteristic
1242C22×C4C23×D4311yescharacteristic
1243C22×C4C23×D4311yescharacteristic
1244C22×C4C23×D4311yescharacteristic
1245C22×C4C23×D4311yescharacteristic
1246C22×C4C23×D4311yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—434no—
1257C4⋊C4—434no—
1258C4⋊C4—862no—
1259C4⋊C4—862no—
1260C4⋊C4—862no—
1261C4⋊C4—862no—
1262C4⋊C4—862no—
1263C4⋊C4—862no—
1264C4⋊C4—862no—
1265C4⋊C4—862no—
1266C4⋊C4—862no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—862no—
1274C4⋊C4—862no—
1275C4⋊C4—862no—
1276C4⋊C4—862no—
1277C4⋊C4—862no—
1278C4⋊C4—862no—
1279C4⋊C4—862no—
1280C4⋊C4—862no—
1281C4⋊C4—862no—
1282C4⋊C4—862no—
1283C4⋊C4—862no—
1284C4⋊C4—862no—
1285C4⋊C4—862no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C4⋊C4—1721no—
1291C4⋊C4—1721no—
1292C4⋊C4—1721no—
1293C4⋊C4—1721no—
1294C4⋊C4—1721no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—434no—
1308C22⋊C4—434no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—862no—
1316C22⋊C4—862no—
1317C22⋊C4—862no—
1318C22⋊C4—862no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4D4×D4314yes—
1322C22⋊C4#1062190014yes—
1323C42—434no—
1324C42—434no—
1325C42—862no—
1326C42—862no—
1327C42—862no—
1328C42—862no—
1329C42—862no—
1330C42—862no—
1331C42—862no—
1332C42—862no—
1333C42—862no—
1334C42—862no—
1335C42—862no—
1336C42—862no—
1337C42—862no—
1338C42—862no—
1339C42—862no—
1340C42—862no—
1341C42—862no—
1342C42—862no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—28no—
1352C23—28no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23C2×D4×D4312yes—
1365C23C2×Q8×D4312yes—
1366C23C2×Q8×D4312yes—
1367C23C2×Q8×D4312yes—
1368C23#41×D4312yes—
1369C23#41×D4312yes—
1370C23C2×#1062190012yes—
1371C23C24×D4311yescharacteristic
1372Q8—44no—
1373Q8—1724no—
1374Q8—1724no—
1375Q8—1724no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—4316no—
1413C2×C4—432no—
1414C2×C4—432no—
1415C2×C4—432no—
1416C2×C4—432no—
1417C2×C4—432no—
1418C2×C4—432no—
1419C2×C4—432no—
1420C2×C4—432no—
1421C2×C4—432no—
1422C2×C4—432no—
1423C2×C4—432no—
1424C2×C4—432no—
1425C2×C4—868no—
1426C2×C4—868no—
1427C2×C4—868no—
1428C2×C4—868no—
1429C2×C4—868no—
1430C2×C4—861no—
1431C2×C4—861no—
1432C2×C4—861no—
1433C2×C4—861no—
1434C2×C4—861no—
1435C2×C4—861no—
1436C2×C4—861no—
1437C2×C4—861no—
1438C2×C4—861no—
1439C2×C4—861no—
1440C2×C4—861no—
1441C2×C4—861no—
1442C2×C4—861no—
1443C2×C4—861no—
1444C2×C4—861no—
1445C2×C4—861no—
1446C2×C4—861no—
1447C2×C4—861no—
1448C2×C4—861no—
1449C2×C4—861no—
1450C2×C4—861no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—1724no—
1467C2×C4—1724no—
1468C2×C4—1724no—
1469C2×C4—1724no—
1470C2×C4C2×D4×D4312yes—
1471C2×C4C2×D4×D4312yes—
1472C2×C4C2×#1062190012yes—
1473C2×C4C2×#1062190012yes—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—416no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22C22⋊Q8×D4314yes—
1495C22#1458345114yescomplemented
1496C22C22×D4×D4311yescharacteristic
1497C22C22×Q8×D4311yescharacteristic
1498C22C2×#41×D4311yescharacteristic
1499C22C2×#41×D4311yescharacteristic
1500C22C22×#1062190011yescharacteristic
1501C22#1458373411yescharacteristic
1502C22#1458373411yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—434no—
1516C4—434no—
1517C4—862no—
1518C4—862no—
1519C4—862no—
1520C4—862no—
1521C4—862no—
1522C4—862no—
1523C4—1721no—
1524C4—1721no—
1525C4—1721no—
1526C4—1721no—
1527C4—1721no—
1528C4—1721no—
1529C4—1721no—
1530C4—1721no—
1531C2—24no—
1532C2—24no—
1533C2—42no—
1534C2C2×C22⋊Q8×D4311yescharacteristic
1535C2C2×#1458345111yescharacteristic
1536C2#1914799711yescharacteristic
1537C2D4×#1062190011yescharacteristic
1538C2#1914807911yescharacteristic
1539C2#1914814611yescharacteristic
1540C2#1914815011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2437C2
prime radicalC25×C43C23
hypercenter#2437D43
hypocenterC43#34739
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#14583451C2semidirect
3. #19138318C2semidirect
4. #19138316C2semidirect
5. #19138303C2semidirect
6. #19138301C2semidirect
7. #19138296C2semidirect
8. #19138294C2semidirect
9. #19138281C2semidirect
10. #19138279C2semidirect
11. #19138277C2semidirect
12. #19138275C2semidirect
13. #19138269C2semidirect
14. #19138267C2semidirect
18. #19137870C2semidirect
19. #19137870C2semidirect
20. #19137864C2semidirect
21. #19137862C2semidirect
22. C22⋊Q8×Dic43C2semidirect
23. #19137127C2semidirect
24. #19137127C2semidirect
25. #19137123C2semidirect
26. #19137074C2semidirect
27. #19137074C2semidirect
28. #19136997C2semidirect
34. C2×#13063324C22semidirect
35. C2×#13063323C22semidirect
36. C2×#13063315C22semidirect
37. C2×#13063315C22semidirect
44. C2×Q8×Dic43C22semidirect
45. C2×#13063290C22semidirect
46. C2×#13063290C22semidirect
47. C2×#13063290C22semidirect
67. #14582840C22semidirect
68. #14582840C22semidirect
69. #14582839C22semidirect
70. #14582837C22semidirect
74. #14582833C22semidirect
75. #14582833C22semidirect
76. #14582832C22semidirect
77. #14582832C22semidirect
78. #14582830C22semidirect
79. #14582830C22semidirect
80. #14582829C22semidirect
81. #14582829C22semidirect
88. #14582820C22semidirect
89. #14582819C22semidirect
90. #14582819C22semidirect
91. #14582818C22semidirect
95. #14582806C22semidirect
96. #14582804C22semidirect
97. #14582803C22semidirect
98. #14582803C22semidirect
99. #14582798C22semidirect
100. #14582796C22semidirect
101. #14582796C22semidirect
102. #14582796C22semidirect
103. #14582796C22semidirect
104. #14582795C22semidirect
105. #14582794C22semidirect
106. #14582794C22semidirect
107. #14582794C22semidirect
108. #14582794C22semidirect
109. #14582794C22semidirect
110. #14582794C22semidirect
111. #14582785C22semidirect
112. #14582785C22semidirect
113. #14582784C22semidirect
114. #14582784C22semidirect
115. #14582781C22semidirect
116. #14582781C22semidirect
117. #14582780C22semidirect
118. #14582780C22semidirect
131. #14582768C22semidirect
132. #14582768C22semidirect
133. #14582763C22semidirect
134. #14582763C22semidirect
148. C4⋊C4×Dic43C22semidirect
149. C4⋊C4×Dic43C22semidirect
150. C4⋊C4×Dic43C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. #14582750C22semidirect
155. #14582750C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
158. #14582750C22semidirect
159. #14582750C22semidirect
194. C23×Dic43Q8semidirect
687. C2×Dic43C22⋊Q8semidirect
725. C22×C43#533semidirect
959. C43#34739semidirect
1495. C22#14583451semidirect

Maximal subgroups

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

subgroupindex
C2×#145834512
C22×#130632812
#191383182
#191383162
#191383032
#191383012
#191382962
#191382942
#191382812
#191382792
#191382772
#191382752
#191382692
#191382672
#191382612
#191382562
#191378702
#191378642
#191378622
C22⋊Q8×Dic432
#191371272
#191371232
#191370742
#191369972
#191369732
C2×C22⋊C4×Dic432
C43×#24372
#3473943