Finite Group Databasebeta

← #25265407

Subgroups — #25265407

Order 11008.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583432C211yesmaximal, characteristic, complemented
2C22×#13063281C211yesmaximal, characteristic, complemented
3#19138856C211yesmaximal, characteristic, complemented
4#19138830C211yesmaximal, characteristic, complemented
5#19138807C211yesmaximal, characteristic, complemented
6#19138802C211yesmaximal, characteristic, complemented
7#19138779C211yesmaximal, characteristic, complemented
8#19138767C211yesmaximal, characteristic, complemented
9#19138744C211yesmaximal, characteristic, complemented
10#19138741C211yesmaximal, characteristic, complemented
11#19138718C211yesmaximal, characteristic, complemented
12#19138709C211yesmaximal, characteristic, complemented
13#19138686C211yesmaximal, characteristic, complemented
14#19138406C211yesmaximal, characteristic, complemented
15#19138334C211yesmaximal, characteristic, complemented
16#19138131C211yesmaximal, characteristic
17#19138061C211yesmaximal, characteristic, complemented
18#19137870C211yesmaximal, characteristic, complemented
19#19137853C211yesmaximal, characteristic, complemented
20#19137853C211yesmaximal, characteristic, complemented
21#19137832C211yesmaximal, characteristic, complemented
22#19137127C211yesmaximal, characteristic, complemented
23#19137101C211yesmaximal, characteristic, complemented
24#19137094C211yesmaximal, characteristic, complemented
25#19137094C211yesmaximal, characteristic, complemented
26#19137089C211yesmaximal, characteristic, complemented
27#19137055C211yesmaximal, characteristic, complemented
28#19137037C211yesmaximal, characteristic, complemented
29#19137031C211yesmaximal, characteristic, complemented
30C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
31C43×#2480C211yesmaximal, characteristic, complemented
32C24×Dic43C2211yescharacteristic
33#14583432—28no—
34C2×#13063319C2211yescharacteristic, complemented
35C2×#13063315C2211yescharacteristic, complemented
36C2×#13063311C2211yescharacteristic
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063307C2211yescharacteristic
39C2×#13063303C2211yescharacteristic, complemented
40C2×#13063302C2211yescharacteristic
41C2×#13063299C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063294C2211yescharacteristic
44C2×#13063294C2211yescharacteristic
45C2×#13063290C2211yescharacteristic, complemented
46C2×#13063287C2211yescharacteristic, complemented
47C2×C4×C22⋊D43C2211yescharacteristic
48C2×(C22⋊D43)⋊C4C2211yescharacteristic
49C2×(C22⋊D43)⋊C4C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C2×(C22⋊D43)⋊C4C2211yescharacteristic
53C2×(C22⋊D43)⋊C4C2211yescharacteristic
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×#13063283C2211yescharacteristic, complemented
56C2×#13063281—28no—
57C2×#13063281C2211yescharacteristic
58C2×#13063281C2211yescharacteristic
59C2×#13063281C2211yescharacteristic
60C2×#13063281C2211yescharacteristic
61C2×#13063281C2211yescharacteristic
62C2×#13063281C2211yescharacteristic
63C2×#13063281C2211yescharacteristic
64C2×#13063281C2211yescharacteristic
65C22×Dic43⋊C4C2211yescharacteristic
66C22×Dic43⋊C4C2211yescharacteristic
67C22×C22⋊Dic43C2211yescharacteristic
68C22×C4×Dic43C2211yescharacteristic
69C22×C4×Dic43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic, complemented
71#14582840C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582835C2211yescharacteristic
75#14582834C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic, complemented
77#14582833C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582830C2211yescharacteristic, complemented
81#14582829C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic
85#14582827C2211yescharacteristic
86#14582823C2211yescharacteristic, complemented
87#14582823C2211yescharacteristic, complemented
88#14582822C2211yescharacteristic
89#14582819C2211yescharacteristic, complemented
90#14582817C2211yescharacteristic, complemented
91#14582815C2211yescharacteristic
92#14582815C2211yescharacteristic
93#14582814C2211yescharacteristic
94#14582814C2211yescharacteristic
95#14582814C2211yescharacteristic
96#14582814C2211yescharacteristic
97#14582811C2211yescharacteristic
98#14582808C2211yescharacteristic
99#14582803C2211yescharacteristic, complemented
100#14582800C2211yescharacteristic, complemented
101#14582799C2211yescharacteristic
102#14582799C2211yescharacteristic
103#14582796C2211yescharacteristic, complemented
104#14582795C2211yescharacteristic, complemented
105#14582794C2211yescharacteristic, complemented
106#14582794C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic
108#14582792C2211yescharacteristic
109#14582792C2211yescharacteristic
110#14582792C2211yescharacteristic
111#14582791C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic, complemented
114#14582788C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic, complemented
116#14582788C2211yescharacteristic, complemented
117#14582787C2211yescharacteristic
118#14582786C2211yescharacteristic, complemented
119#14582786C2211yescharacteristic, complemented
120#14582784C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582783C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582781C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582780C2211yescharacteristic, complemented
128#14582778C2211yescharacteristic
129#14582776C2211yescharacteristic
130#14582776C2211yescharacteristic
131#14582776C2211yescharacteristic
132#14582776C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582776C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582774C2211yescharacteristic
141#14582773C2211yescharacteristic, complemented
142#14582772C2211yescharacteristic
143#14582771C2211yescharacteristic
144#14582771C2211yescharacteristic
145#14582771C2211yescharacteristic
146#14582771C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582770C2211yescharacteristic, complemented
150#14582757C2211yescharacteristic
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156#14582750C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158#14582750C2211yescharacteristic, complemented
159C22⋊C4×Dic43C2211yescharacteristic
160C22⋊C4×Dic43C2211yescharacteristic
161C22⋊C4×Dic43C2211yescharacteristic
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic
166C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
167#14582746C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582744C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#126×C43C2211yescharacteristic
175C22×C22⋊C4×C43C2211yescharacteristic
176C43×#397C2211yescharacteristic
177C43×#397C2211yescharacteristic
178C43×#397C2211yescharacteristic
179C43×#396C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C43×#379C2211yescharacteristic
187C43×#379C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C23×Dic43—24no—
198C23×Dic43—24no—
199C23×Dic43—24no—
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212#13063319—24no—
213#13063315—24no—
214#13063311—24no—
215#13063310—24no—
216#13063307—24no—
217#13063303—24no—
218#13063302—24no—
219#13063299—24no—
220#13063298—24no—
221#13063294—24no—
222#13063294—24no—
223#13063290—24no—
224#13063287—24no—
225C4×C22⋊D43—24no—
226(C22⋊D43)⋊C4—24no—
227(C22⋊D43)⋊C4—24no—
228(C22⋊D43)⋊C4—24no—
229(C22⋊D43)⋊C4—24no—
230(C22⋊D43)⋊C4—24no—
231(C22⋊D43)⋊C4—24no—
232(C22⋊D43)⋊C4—24no—
233#13063283—24no—
234#13063281—24no—
235#13063281—24no—
236#13063281—24no—
237#13063281—24no—
238#13063281—24no—
239#13063281—24no—
240#13063281—24no—
241#13063281D418yescomplemented
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×Dic43⋊C4—24no—
247C2×Dic43⋊C4—24no—
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⋊Dic43C2311yescharacteristic
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×(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
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×C4×Dic43—24no—
300C2×C4×Dic43—24no—
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
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
319C42×D43—24no—
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C25×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351#126×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×C22⋊C4×C43—24no—
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
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×C42×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43—22no—
386C24×C43—22no—
387C24×C43—22no—
388C24×C43—22no—
389C24×C43—22no—
390C24×C43—41no—
391C24×C43—41no—
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—22no—
418C2×C22⋊D43—22no—
419C2×C22⋊D43—22no—
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43#4114yes—
433C22×Dic43—232no—
434C22×Dic43—22no—
435C22×Dic43—22no—
436C22×Dic43—22no—
437C22×Dic43—22no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43—22no—
448C22×Dic43—22no—
449C22×Dic43—22no—
450C22×Dic43—22no—
451C22×Dic43—22no—
452C22×Dic43—22no—
453C22×Dic43—41no—
454C22×Dic43—41no—
455C22×Dic43C2×D414yes—
456C22×Dic43#4114yes—
457C22×Dic43#4114yes—
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C2×D172—22no—
473C2×D172—22no—
474C2×D172—41no—
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—41no—
486C2×C4×D43—41no—
487C2×Dic86—22no—
488C2×Dic86—22no—
489C2×Dic86—41no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—41no—
494C4⋊C4×C43—41no—
495C4⋊C4×C43—41no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—22no—
506C22⋊C4×C43—22no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43C2×D414yes—
512C42×C43—22no—
513C42×C43—41no—
514C22⋊Dic43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—22no—
519C22⋊Dic43—22no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43C2×D414yes—
523C22⋊Dic43#4114yes—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542C4⋊Dic43—22no—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—41no—
546Dic43⋊C4—22no—
547Dic43⋊C4—22no—
548Dic43⋊C4—22no—
549Dic43⋊C4—22no—
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—41no—
565Dic43⋊C4—41no—
566Dic43⋊C4C2×D414yes—
567Dic43⋊C4C2×D414yes—
568C4×Dic43—22no—
569C4×Dic43—22no—
570C4×Dic43—22no—
571C4×Dic43—22no—
572C4×Dic43—22no—
573C4×Dic43—22no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—22no—
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43—22no—
583C4×Dic43—41no—
584C4×Dic43C2×D414yes—
585C4×Dic43C2×D414yes—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—28no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—44no—
604C23×C43—44no—
605C23×C43—44no—
606C23×C43—44no—
607C23×C43—44no—
608C23×C43—44no—
609C23×C43C22×D412yes—
610C23×C43C2×#4112yes—
611C23×C43C2×#4112yes—
612C23×C43C2×#4112yes—
613C23×C43C2×#4112yes—
614C23×C43C2511yescharacteristic
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43C2×#4112yes—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
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—44no—
664C2×C4×C43—44no—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C22×D412yes—
667C22⋊D43—28no—
668C22⋊D43—44no—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C22⋊D43—44no—
673C2×Dic43—28no—
674C2×Dic43—28no—
675C2×Dic43—28no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—28no—
693C2×Dic43—28no—
694C2×Dic43—28no—
695C2×Dic43—21no—
696C2×Dic43—21no—
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—44no—
711C2×Dic43—44no—
712C2×Dic43C22×D412yes—
713C2×Dic43C22×D412yes—
714C2×Dic43C22×D412yes—
715C2×Dic43C22×D412yes—
716C2×Dic43C2×#4112yes—
717C2×Dic43C2×#4112yes—
718C2×Dic43C2×#4112yes—
719C2×Dic43C2×#4112yes—
720C2×Dic43C2×#4112yes—
721C2×Dic43C2×#4112yes—
722C2×Dic43C2×#4112yes—
723D172—44no—
724C4×D43—44no—
725C4×D43—44no—
726C4×D43—44no—
727C4×D43—44no—
728Dic86—44no—
729#34740—431nomaximal, Sylow
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—22no—
733C22×C43—22no—
734C22×C43—22no—
735C22×C43—22no—
736C22×C43—22no—
737C22×C43—22no—
738C22×C43—22no—
739C22×C43—22no—
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—416no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43#52914yescomplemented
752C22×C43C23×D411yescharacteristic
753C22×C43C22×#4111yescharacteristic
754C22×C43C22×#4111yescharacteristic
755C22×C43C22×#4111yescharacteristic
756C22×C43C22×#4111yescharacteristic
757C22×C43#58511yescharacteristic
758C22×C43#58511yescharacteristic
759C2×D43—22no—
760C2×D43—22no—
761C2×D43—22no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C2×D43—41no—
767C2×D43—41no—
768C2×D43—41no—
769C2×D43—41no—
770C2×D43—41no—
771C2×D43—41no—
772C2×D43—41no—
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785Dic43—22no—
786Dic43—22no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—22no—
791Dic43—22no—
792Dic43—22no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#52514yes—
799C2×#529—431no—
800C22×#117—431no—
801#2481—431no—
802#2480D4311yescharacteristic, complemented
803#2479—431no—
804#2478—431no—
805#2477—431no—
806#2476—431no—
807#2475—431no—
808#2474—431no—
809#2473—431no—
810#2472—431no—
811#2471—431no—
812#2470—431no—
813#2449—431no—
814#2443—431no—
815#2424—431no—
816#2418—431no—
817#2396—431no—
818#2395—431no—
819#2395—431no—
820#2392—431no—
821C4×C22⋊Q8—431no—
822C4×#121—431no—
823C4×#120—431no—
824C4×#120—431no—
825#2298—431no—
826#2293—431no—
827#2290—431no—
828#2290—431no—
829C42×D4—431no—
830C2×C43—24no—
831C2×C43—42no—
832C2×C43—42no—
833C2×C43C2×#52511yescharacteristic
834C2×C43C2×#52911yescharacteristic
835C2×C43#345511yescharacteristic
836C2×C43D4×#4111yescharacteristic
837C2×C43D4×#4111yescharacteristic
838C2×C43#347511yescharacteristic
839C2×C43#347511yescharacteristic
840D43—42no—
841D43—81no—
842C24×C4—431no—
843#529—868no—
844C2×#126—431no—
845C2×#126C2×D4311yescharacteristic
846C2×#125—431no—
847C2×#124—431no—
848C2×#123—431no—
849C2×#123—431no—
850C2×C22⋊Q8—431no—
851C2×C22⋊Q8—431no—
852C2×#121—431no—
853C2×#121—431no—
854C2×#120—431no—
855C2×#120—431no—
856C2×C4×Q8—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4—431no—
863C2×C4×D4—431no—
864C2×C4×D4—431no—
865C2×C4×D4—431no—
866C2×#117—431no—
867C2×#117—431no—
868C2×#117—431no—
869C2×#117—431no—
870C2×#117—431no—
871C2×#117—431no—
872C2×#117—431no—
873C2×#117—431no—
874C2×#117—431no—
875C2×#117—868no—
876C22×C4⋊C4—431no—
877C22×C4⋊C4—431no—
878C22×C22⋊C4—431no—
879C22×C22⋊C4C2×D4311yescharacteristic
880C22×C42—431no—
881C22×C42—431no—
882C22×C42—431no—
883#400—431no—
884#400—431no—
885#400—431no—
886#399—431no—
887#399—431no—
888#399—431no—
889#398—431no—
890#398—431no—
891#398—431no—
892#398—431no—
893#398—431no—
894#397—431no—
895#397—431no—
896#397—431no—
897#397—431no—
898#397C2×D4311yescharacteristic
899#397C2×D4311yescharacteristic
900#397C2×D4311yescharacteristic
901#396—431no—
902#396—431no—
903#396—431no—
904#396C2×D4311yescharacteristic
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394—431no—
912#394—431no—
913#393—431no—
914#392—431no—
915#391—431no—
916#390—431no—
917#390—431no—
918#390—431no—
919#389—431no—
920#389—431no—
921#389—431no—
922#389—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388C2×D4311yescharacteristic
935#388C2×D4311yescharacteristic
936#388C2×D4311yescharacteristic
937#387—431no—
938#387—431no—
939#387—431no—
940#387—431no—
941#387—431no—
942#387—431no—
943#387—431no—
944#387—431no—
945#387—431no—
946#387—431no—
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385—431no—
967#385—431no—
968#385—431no—
969#385C2×D4311yescharacteristic
970#385C2×D4311yescharacteristic
971#380—431no—
972#380C2×D4311yescharacteristic
973#379C2×D4311yescharacteristic
974#379C2×D4311yescharacteristic
975C4×C4⋊C4—431no—
976C4×C4⋊C4—431no—
977C4×C4⋊C4—431no—
978C4×C4⋊C4—431no—
979C4×C4⋊C4—431no—
980C4×C4⋊C4—431no—
981C4×C4⋊C4—431no—
982C4×C4⋊C4—431no—
983C4×C22⋊C4—431no—
984C4×C22⋊C4—431no—
985C4×C22⋊C4—431no—
986C4×C22⋊C4—431no—
987C4×C22⋊C4—431no—
988C4×C22⋊C4—431no—
989C4×C22⋊C4—431no—
990C4×C22⋊C4—431no—
991C4×C22⋊C4—431no—
992C4×C22⋊C4—431no—
993C4×C22⋊C4—431no—
994C4×C22⋊C4—431no—
995C4×C22⋊C4—431no—
996C4×C22⋊C4C2×D4311yescharacteristic
997#376—431no—
998C43—431no—
999C43#3474011yescharacteristic, complemented, Sylow
1000C25C22×D4311yescharacteristic
1001C22×Q8—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4—431no—
1006C22×D4—431no—
1007C22×D4—431no—
1008C22×D4—431no—
1009C23×C4—431no—
1010C23×C4—431no—
1011C23×C4—431no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4—431no—
1017C23×C4—431no—
1018C23×C4—431no—
1019C23×C4—431no—
1020C23×C4—431no—
1021C23×C4—864no—
1022C23×C4—864no—
1023C23×C4—864no—
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026#126—24no—
1027#126—864no—
1028#125—864no—
1029#124—864no—
1030#123—864no—
1031#123—864no—
1032C22⋊Q8—864no—
1033C22⋊Q8—864no—
1034#121—864no—
1035#121—864no—
1036#120—864no—
1037#120—864no—
1038C4×Q8—864no—
1039C4×D4—864no—
1040C4×D4—864no—
1041C4×D4—864no—
1042C4×D4—864no—
1043C4×D4—864no—
1044C4×D4—864no—
1045C4×D4—864no—
1046C4×D4—864no—
1047C4×D4—864no—
1048#117—438no—
1049#117—864no—
1050#117—864no—
1051#117—864no—
1052#117—864no—
1053#117—864no—
1054#117—864no—
1055#117—864no—
1056#117—864no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—864no—
1084C2×C4⋊C4—864no—
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4—24no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—864no—
1121C2×C22⋊C4C22×D4311yescharacteristic
1122C2×C22⋊C4C22×D4311yescharacteristic
1123C2×C22⋊C4C22×D4311yescharacteristic
1124C2×C22⋊C4C22×D4311yescharacteristic
1125C2×C22⋊C4C22×D4311yescharacteristic
1126C2×C22⋊C4C22×D4311yescharacteristic
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C42—431no—
1138C2×C42—431no—
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—431no—
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—864no—
1156C2×C42—864no—
1157C2×C42—864no—
1158C2×C42C22×D4311yescharacteristic
1159C2×C42C22×D4311yescharacteristic
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95C22×D4311yescharacteristic
1189#95C22×D4311yescharacteristic
1190#95C22×D4311yescharacteristic
1191#95C22×D4311yescharacteristic
1192#95C22×D4311yescharacteristic
1193#95C22×D4311yescharacteristic
1194#95C22×D4311yescharacteristic
1195#95C22×D4311yescharacteristic
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—41no—
1202C24—41no—
1203C24—431no—
1204C24—431no—
1205C24C23×D4311yescharacteristic
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C2×Q8—862no—
1209C2×Q8—862no—
1210C2×Q8—1721no—
1211C2×D4—434no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—862no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—862no—
1224C2×D4—862no—
1225C2×D4—862no—
1226C2×D4—862no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4—1721no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—431no—
1239C22×C4—434no—
1240C22×C4—434no—
1241C22×C4—434no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—431no—
1245C22×C4—431no—
1246C22×C4—431no—
1247C22×C4—431no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—8632no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—862no—
1285C22×C4—1721no—
1286C22×C4—1721no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C22×C4C23×D4311yescharacteristic
1292C22×C4C23×D4311yescharacteristic
1293C22×C4C23×D4311yescharacteristic
1294C22×C4C23×D4311yescharacteristic
1295C22×C4C23×D4311yescharacteristic
1296C22×C4C23×D4311yescharacteristic
1297C22×C4C23×D4311yescharacteristic
1298C22×C4C23×D4311yescharacteristic
1299C22×C4C23×D4311yescharacteristic
1300C22×C4C23×D4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—434no—
1308C4⋊C4—434no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—862no—
1319C4⋊C4—862no—
1320C4⋊C4—862no—
1321C4⋊C4—862no—
1322C4⋊C4—862no—
1323C4⋊C4—862no—
1324C4⋊C4—862no—
1325C4⋊C4—862no—
1326C4⋊C4—862no—
1327C4⋊C4—862no—
1328C4⋊C4—862no—
1329C4⋊C4—862no—
1330C4⋊C4—1721no—
1331C4⋊C4—1721no—
1332C4⋊C4—1721no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—434no—
1349C22⋊C4—434no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—862no—
1361C22⋊C4—862no—
1362C22⋊C4—862no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4D4×D4314yes—
1377C42—22no—
1378C42—41no—
1379C42—434no—
1380C42—434no—
1381C42—862no—
1382C42—862no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C42—862no—
1391C42—862no—
1392C42—862no—
1393C42—862no—
1394C42—862no—
1395C42—862no—
1396C42—1721no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—28no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—432no—
1421C23—861no—
1422C23—861no—
1423C23—861no—
1424C23—861no—
1425C23—861no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23—861no—
1434C23C2×D4×D4312yes—
1435C23#41×D4312yes—
1436C23#41×D4312yes—
1437C23#41×D4312yes—
1438C23#41×D4312yes—
1439C23C24×D4311yescharacteristic
1440Q8—1724no—
1441D4—868no—
1442D4—1724no—
1443D4—1724no—
1444D4—1724no—
1445D4—1724no—
1446D4—1724no—
1447D4—1724no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—432no—
1485C2×C4—432no—
1486C2×C4—432no—
1487C2×C4—432no—
1488C2×C4—432no—
1489C2×C4—432no—
1490C2×C4—432no—
1491C2×C4—432no—
1492C2×C4—432no—
1493C2×C4—432no—
1494C2×C4—432no—
1495C2×C4—868no—
1496C2×C4—868no—
1497C2×C4—868no—
1498C2×C4—868no—
1499C2×C4—868no—
1500C2×C4—868no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—861no—
1518C2×C4—861no—
1519C2×C4—861no—
1520C2×C4—861no—
1521C2×C4—861no—
1522C2×C4—861no—
1523C2×C4—861no—
1524C2×C4—861no—
1525C2×C4—861no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—1724no—
1533C2×C4—1724no—
1534C2×C4—1724no—
1535C2×C4—1724no—
1536C2×C4—1724no—
1537C2×C4—1724no—
1538C2×C4C2×D4×D4312yes—
1539C2×C4C2×D4×D4312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—416no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—862no—
1562C22—862no—
1563C22—862no—
1564C22—1721no—
1565C22—1721no—
1566C22—1721no—
1567C22—1721no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22#1458343214yescomplemented
1576C22C22×D4×D4311yescharacteristic
1577C22C2×#41×D4311yescharacteristic
1578C22C2×#41×D4311yescharacteristic
1579C22C2×#41×D4311yescharacteristic
1580C22C2×#41×D4311yescharacteristic
1581C22#1458373411yescharacteristic
1582C22#1458373411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—434no—
1596C4—862no—
1597C4—862no—
1598C4—862no—
1599C4—862no—
1600C4—862no—
1601C4—862no—
1602C4—862no—
1603C4—862no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—3441no—
1613C2—1722no—
1614C2#525×D4311yescharacteristic
1615C2C2×#1458343211yescharacteristic
1616C2#1914797711yescharacteristic
1617C2#1914807911yescharacteristic
1618C2#1914807911yescharacteristic
1619C2#1914815011yescharacteristic
1620C2#1914815011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2480C2
prime radical#19138131C2
hypercenter#2480D43
hypocenterC43#34740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. C2×#14583432C2semidirect
2. C22×#13063281C2semidirect
3. #19138856C2semidirect
4. #19138830C2semidirect
5. #19138807C2semidirect
6. #19138802C2semidirect
7. #19138779C2semidirect
8. #19138767C2semidirect
9. #19138744C2semidirect
10. #19138741C2semidirect
11. #19138718C2semidirect
12. #19138709C2semidirect
13. #19138686C2semidirect
14. #19138406C2semidirect
15. #19138334C2semidirect
17. #19138061C2semidirect
18. #19137870C2semidirect
19. #19137853C2semidirect
20. #19137853C2semidirect
21. #19137832C2semidirect
22. #19137127C2semidirect
23. #19137101C2semidirect
24. #19137094C2semidirect
25. #19137094C2semidirect
26. #19137089C2semidirect
27. #19137055C2semidirect
28. #19137037C2semidirect
29. #19137031C2semidirect
30. C4×(C22⋊D43)⋊C4C2semidirect
31. C43×#2480C2semidirect
34. C2×#13063319C22semidirect
35. C2×#13063315C22semidirect
37. C2×#13063310C22semidirect
39. C2×#13063303C22semidirect
45. C2×#13063290C22semidirect
46. C2×#13063287C22semidirect
55. C2×#13063283C22semidirect
70. C2×C42×D43C22semidirect
71. #14582840C22semidirect
72. #14582840C22semidirect
73. #14582840C22semidirect
75. #14582834C22semidirect
76. #14582834C22semidirect
77. #14582833C22semidirect
78. #14582833C22semidirect
79. #14582832C22semidirect
80. #14582830C22semidirect
81. #14582829C22semidirect
82. #14582828C22semidirect
83. #14582828C22semidirect
86. #14582823C22semidirect
87. #14582823C22semidirect
89. #14582819C22semidirect
90. #14582817C22semidirect
99. #14582803C22semidirect
100. #14582800C22semidirect
103. #14582796C22semidirect
104. #14582795C22semidirect
105. #14582794C22semidirect
106. #14582794C22semidirect
111. #14582791C22semidirect
112. #14582790C22semidirect
113. #14582789C22semidirect
114. #14582788C22semidirect
115. #14582788C22semidirect
116. #14582788C22semidirect
118. #14582786C22semidirect
119. #14582786C22semidirect
120. #14582784C22semidirect
121. #14582783C22semidirect
122. #14582783C22semidirect
123. #14582781C22semidirect
124. #14582781C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
127. #14582780C22semidirect
141. #14582773C22semidirect
149. #14582770C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. #14582750C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
158. #14582750C22semidirect
166. C4×(C2×D43)⋊C4C22semidirect
167. #14582746C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582744C22semidirect
173. C42×Dic43C22semidirect
241. #13063281D4semidirect
751. C22×C43#529semidirect
802. #2480D43semidirect
999. C43#34740semidirect
1575. C22#14583432semidirect

Maximal subgroups

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

subgroupindex
C2×#145834322
C22×#130632812
#191388562
#191388302
#191388072
#191388022
#191387792
#191387672
#191387442
#191387412
#191387182
#191387092
#191386862
#191384062
#191383342
#191381312
#191380612
#191378702
#191378532
#191378322
#191371272
#191371012
#191370942
#191370892
#191370552
#191370372
#191370312
C4×(C22⋊D43)⋊C42
C43×#24802
#3474043