Finite Group Databasebeta

← #25265395

Subgroups — #25265395

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×#14583426C211yesmaximal, characteristic, complemented
2C22×#13063281C211yesmaximal, characteristic, complemented
3#19138863C211yesmaximal, characteristic, complemented
4#19138840C211yesmaximal, characteristic, complemented
5#19138829C211yesmaximal, characteristic, complemented
6#19138806C211yesmaximal, characteristic, complemented
7#19138797C211yesmaximal, characteristic, complemented
8#19138774C211yesmaximal, characteristic, complemented
9#19138772C211yesmaximal, characteristic, complemented
10#19138749C211yesmaximal, characteristic, complemented
11#19138738C211yesmaximal, characteristic, complemented
12#19138715C211yesmaximal, characteristic, complemented
13#19138710C211yesmaximal, characteristic, complemented
14#19138687C211yesmaximal, characteristic, complemented
15#19138408C211yesmaximal, characteristic, complemented
16#19138324C211yesmaximal, characteristic, complemented
17#19138135C211yesmaximal, characteristic
18#19137864C211yesmaximal, characteristic, complemented
19#19137853C211yesmaximal, characteristic, complemented
20#19137851C211yesmaximal, characteristic, complemented
21#19137838C211yesmaximal, characteristic, complemented
22#19137123C211yesmaximal, characteristic, complemented
23#19137105C211yesmaximal, characteristic, complemented
24#120×Dic43C211yesmaximal, characteristic, complemented
25#19137094C211yesmaximal, characteristic, complemented
26#19137089C211yesmaximal, characteristic, complemented
27#19137055C211yesmaximal, characteristic, complemented
28#19137035C211yesmaximal, characteristic, complemented
29#19137031C211yesmaximal, characteristic, complemented
30C4×D4×Dic43C211yesmaximal, characteristic, complemented
31C43×#2418C211yesmaximal, characteristic, complemented
32C24×Dic43C2211yescharacteristic
33#14583426—28no—
34C2×#13063320C2211yescharacteristic, complemented
35C2×#13063318C2211yescharacteristic
36C2×#13063315C2211yescharacteristic, complemented
37C2×#13063311C2211yescharacteristic
38C2×#13063308C2211yescharacteristic, complemented
39C2×#13063304C2211yescharacteristic
40C2×#13063302C2211yescharacteristic, complemented
41C2×#13063297C2211yescharacteristic
42C2×#13063297C2211yescharacteristic
43C2×#13063294C2211yescharacteristic
44C2×#13063290C2211yescharacteristic, complemented
45C2×D4×Dic43C2211yescharacteristic
46C2×D4×Dic43C2211yescharacteristic
47C2×D4×Dic43C2211yescharacteristic
48C2×D4×Dic43C2211yescharacteristic
49C2×(C22⋊D43)⋊C4C2211yescharacteristic
50C2×(C22⋊D43)⋊C4C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
53C2×#13063283C2211yescharacteristic, complemented
54C2×#13063281—28no—
55C2×#13063281C2211yescharacteristic
56C2×#13063281C2211yescharacteristic
57C2×#13063281C2211yescharacteristic
58C2×#13063281C2211yescharacteristic
59C2×#13063281C2211yescharacteristic
60C2×#13063281C2211yescharacteristic
61C2×#13063281C2211yescharacteristic
62C2×#13063281C2211yescharacteristic
63C22×Dic43⋊C4C2211yescharacteristic
64C22×Dic43⋊C4C2211yescharacteristic
65C22×C22⋊Dic43C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic
67C22×C4×Dic43C2211yescharacteristic
68C22×C4×Dic43C2211yescharacteristic, complemented
69#14582841C2211yescharacteristic, complemented
70#14582840C2211yescharacteristic, complemented
71#14582837C2211yescharacteristic, complemented
72#14582835C2211yescharacteristic, complemented
73#14582834C2211yescharacteristic, complemented
74#14582833C2211yescharacteristic, complemented
75#14582833C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582830C2211yescharacteristic, complemented
78#14582830C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582827C2211yescharacteristic
81#14582827C2211yescharacteristic
82#14582827C2211yescharacteristic
83#14582827C2211yescharacteristic, complemented
84#14582824C2211yescharacteristic
85#14582822C2211yescharacteristic
86#14582822C2211yescharacteristic
87#14582822C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582820C2211yescharacteristic, complemented
90#14582815C2211yescharacteristic
91#14582815C2211yescharacteristic
92#14582814C2211yescharacteristic
93#14582814C2211yescharacteristic, complemented
94#14582813C2211yescharacteristic
95#14582811C2211yescharacteristic
96#14582807C2211yescharacteristic
97#14582804C2211yescharacteristic, complemented
98#14582799C2211yescharacteristic
99#14582799C2211yescharacteristic
100#14582799C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582796C2211yescharacteristic, complemented
103#14582795C2211yescharacteristic, complemented
104#14582794C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic
106#14582793C2211yescharacteristic
107#14582792C2211yescharacteristic
108#14582792C2211yescharacteristic
109#14582791C2211yescharacteristic, complemented
110#14582791C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582789C2211yescharacteristic, complemented
113#14582788C2211yescharacteristic, complemented
114#14582787C2211yescharacteristic
115#14582787C2211yescharacteristic
116#14582787C2211yescharacteristic, complemented
117#14582786C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582784C2211yescharacteristic, complemented
120#14582783C2211yescharacteristic, complemented
121#14582782C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582781C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582778C2211yescharacteristic
132#14582778C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582776C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582774C2211yescharacteristic
138#14582774C2211yescharacteristic
139#14582774C2211yescharacteristic
140#14582774C2211yescharacteristic
141#14582772C2211yescharacteristic, complemented
142#14582771C2211yescharacteristic
143#14582771C2211yescharacteristic
144#14582771C2211yescharacteristic
145#14582771C2211yescharacteristic
146#14582771C2211yescharacteristic
147#14582771C2211yescharacteristic, complemented
148#14582757C2211yescharacteristic
149#14582755C2211yescharacteristic
150C4⋊C4×Dic43C2211yescharacteristic, complemented
151C4⋊C4×Dic43C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4×C4⋊Dic43C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156#14582750C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158C22⋊C4×Dic43C2211yescharacteristic
159C22⋊C4×Dic43C2211yescharacteristic
160C22⋊C4×Dic43C2211yescharacteristic
161C22⋊C4×Dic43C2211yescharacteristic
162C22⋊C4×Dic43C2211yescharacteristic
163C22⋊C4×Dic43C2211yescharacteristic
164C22⋊C4×Dic43C2211yescharacteristic
165C22⋊C4×Dic43C2211yescharacteristic, complemented
166C22⋊C4×Dic43C2211yescharacteristic, complemented
167C22⋊C4×Dic43C2211yescharacteristic, complemented
168C4×C22⋊Dic43C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582744C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×#120×C43C2211yescharacteristic
176C2×C4×D4×C43C2211yescharacteristic
177C22×C22⋊C4×C43C2211yescharacteristic
178C43×#399C2211yescharacteristic
179C43×#397C2211yescharacteristic
180C43×#394C2211yescharacteristic
181C43×#394C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#385C2211yescharacteristic
187C43×#380C2211yescharacteristic
188C43×#379C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C23×Dic43—24no—
195C23×Dic43—24no—
196C23×Dic43—24no—
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208#13063320—24no—
209#13063318—24no—
210#13063315—24no—
211#13063311—24no—
212#13063308—24no—
213#13063304—24no—
214#13063302—24no—
215#13063297—24no—
216#13063297—24no—
217#13063294—24no—
218#13063290—24no—
219D4×Dic43—24no—
220D4×Dic43—24no—
221D4×Dic43—24no—
222D4×Dic43—24no—
223(C22⋊D43)⋊C4—24no—
224(C22⋊D43)⋊C4—24no—
225(C22⋊D43)⋊C4—24no—
226(C22⋊D43)⋊C4—24no—
227#13063283—24no—
228#13063281—24no—
229#13063281—24no—
230#13063281—24no—
231#13063281—24no—
232#13063281—24no—
233#13063281—24no—
234#13063281—24no—
235#13063281D418yescomplemented
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×Dic43⋊C4—24no—
244C2×Dic43⋊C4—24no—
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×C22⋊Dic43—24no—
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×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×(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×C4×Dic43—24no—
295C2×C4×Dic43—24no—
296C2×C4×Dic43—24no—
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
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
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
346C25×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353#123×C43—24no—
354#120×C43—24no—
355C4×D4×C43—24no—
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×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×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C42×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
395C24×C43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43#4114yes—
406C22×C4×C43—22no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—41no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—22no—
434C2×C22⋊D43—22no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C22×Dic43—232no—
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—22no—
454C22×Dic43—22no—
455C22×Dic43—22no—
456C22×Dic43—22no—
457C22×Dic43—22no—
458C22×Dic43—22no—
459C22×Dic43—22no—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—22no—
463C22×Dic43—41no—
464C22×Dic43—41no—
465C22×Dic43—41no—
466C22×Dic43C2×D414yes—
467C22×Dic43#4114yes—
468C22×Dic43#4114yes—
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C2×C4×D43—22no—
485C2×C4×D43—22no—
486C2×C4×D43—22no—
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—
495C22⋊C4×C43—22no—
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×C43C2×D414yes—
511C42×C43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
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⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—22no—
526C22⋊Dic43—41no—
527C22⋊Dic43—41no—
528C22⋊Dic43C2×D414yes—
529C22⋊Dic43#4114yes—
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—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540C4⋊Dic43—22no—
541C4⋊Dic43—22no—
542C4⋊Dic43—22no—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—22no—
546C4⋊Dic43—41no—
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—41no—
563Dic43⋊C4—41no—
564Dic43⋊C4—41no—
565Dic43⋊C4C2×D414yes—
566Dic43⋊C4C2×D414yes—
567C4×Dic43—22no—
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—41no—
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—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—44no—
610C23×C43—44no—
611C23×C43—44no—
612C23×C43—44no—
613C23×C43—44no—
614C23×C43—44no—
615C23×C43C22×D412yes—
616C23×C43C2×#4112yes—
617C23×C43C2×#4112yes—
618C23×C43C2×#4112yes—
619C23×C43C2×#4112yes—
620C23×C43C2×#4112yes—
621C23×C43C2511yescharacteristic
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629D4×C43—28no—
630D4×C43—44no—
631D4×C43—44no—
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—44no—
663C2×C4×C43—44no—
664C2×C4×C43—44no—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C22×D412yes—
667C2×C4×C43C2×#4112yes—
668C22⋊D43—44no—
669C22⋊D43—44no—
670C22⋊D43—44no—
671C22⋊D43—44no—
672C2×Dic43—28no—
673C2×Dic43—28no—
674C2×Dic43—28no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—28no—
690C2×Dic43—28no—
691C2×Dic43—28no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
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—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—44no—
714C2×Dic43—44no—
715C2×Dic43—44no—
716C2×Dic43—44no—
717C2×Dic43C22×D412yes—
718C2×Dic43C22×D412yes—
719C2×Dic43C22×D412yes—
720C2×Dic43C22×D412yes—
721C2×Dic43C2×#4112yes—
722C2×Dic43C2×#4112yes—
723C2×Dic43C2×#4112yes—
724C2×Dic43C2×#4112yes—
725C2×Dic43C2×#4112yes—
726C2×Dic43C2×#4112yes—
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—22no—
743C22×C43—22no—
744C22×C43—22no—
745C22×C43—416no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43#52914yescomplemented
759C22×C43C23×D411yescharacteristic
760C22×C43C22×#4111yescharacteristic
761C22×C43C22×#4111yescharacteristic
762C22×C43C22×#4111yescharacteristic
763C22×C43C22×#4111yescharacteristic
764C22×C43#58511yescharacteristic
765C22×C43#58511yescharacteristic
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—22no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784Dic43—22no—
785Dic43—22no—
786Dic43—22no—
787Dic43—22no—
788Dic43—22no—
789Dic43—22no—
790Dic43—22no—
791Dic43—41no—
792Dic43—41no—
793Dic43—41no—
794Dic43—41no—
795Dic43—41no—
796Dic43—41no—
797Dic43—41no—
798Dic43#52514yes—
799C2×#529—431no—
800C22×#117—431no—
801#2481—431no—
802#2480—431no—
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#2418D4311yescharacteristic, complemented
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×C43—42no—
834C2×C43C2×#52511yescharacteristic
835C2×C43C2×#52911yescharacteristic
836C2×C43#345511yescharacteristic
837C2×C43D4×#4111yescharacteristic
838C2×C43D4×#4111yescharacteristic
839C2×C43#347511yescharacteristic
840C2×C43#347511yescharacteristic
841D43—81no—
842C24×C4—431no—
843#529—868no—
844C2×#126—431no—
845C2×#126—431no—
846C2×#125—431no—
847C2×#124—431no—
848C2×#123—431no—
849C2×#123C2×D4311yescharacteristic
850C2×C22⋊Q8—431no—
851C2×C22⋊Q8—431no—
852C2×#121—431no—
853C2×#121—431no—
854C2×#120—431no—
855C2×#120C2×D4311yescharacteristic
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×D4C2×D4311yescharacteristic
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#399C2×D4311yescharacteristic
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#397—431no—
899#397—431no—
900#397C2×D4311yescharacteristic
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#395—431no—
906#394—431no—
907#394—431no—
908#394—431no—
909#394—431no—
910#394—431no—
911#394C2×D4311yescharacteristic
912#394C2×D4311yescharacteristic
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#388—431no—
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#386C2×D4311yescharacteristic
958#386C2×D4311yescharacteristic
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#385—431no—
970#385C2×D4311yescharacteristic
971#380—431no—
972#380C2×D4311yescharacteristic
973#379—431no—
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⋊C4—431no—
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×D4C22×D4311yescharacteristic
1007C22×D4C22×D4311yescharacteristic
1008C22×D4C22×D4311yescharacteristic
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—864no—
1021C23×C4—864no—
1022C23×C4—864no—
1023C23×C4C22×D4311yescharacteristic
1024C23×C4C22×D4311yescharacteristic
1025C23×C4C22×D4311yescharacteristic
1026#126—864no—
1027#126—864no—
1028#125—864no—
1029#124—864no—
1030#123—24no—
1031#123—864no—
1032C22⋊Q8—864no—
1033C22⋊Q8—864no—
1034#121—864no—
1035#121—864no—
1036#120—24no—
1037#120—864no—
1038C4×Q8—864no—
1039C4×D4—24no—
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—431no—
1084C2×C4⋊C4—864no—
1085C2×C4⋊C4—864no—
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—431no—
1156C2×C42—864no—
1157C2×C42—864no—
1158C2×C42—864no—
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#95—431no—
1189#95—431no—
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—
1204C24C23×D4311yescharacteristic
1205C24C23×D4311yescharacteristic
1206C24C23×D4311yescharacteristic
1207C24C23×D4311yescharacteristic
1208C2×Q8—862no—
1209C2×Q8—862no—
1210C2×Q8—1721no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—41no—
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—862no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C2×D4#1062190014yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—431no—
1242C22×C4—434no—
1243C22×C4—434no—
1244C22×C4—434no—
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—431no—
1256C22×C4—431no—
1257C22×C4—431no—
1258C22×C4—431no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—862no—
1272C22×C4—862no—
1273C22×C4—862no—
1274C22×C4—862no—
1275C22×C4—862no—
1276C22×C4—862no—
1277C22×C4—862no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—8632no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—862no—
1285C22×C4—862no—
1286C22×C4—862no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4—1721no—
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—434no—
1307C4⋊C4—434no—
1308C4⋊C4—862no—
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—1721no—
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—22no—
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—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4—1721no—
1376C22⋊C4D4×D4314yes—
1377C42—22no—
1378C42—434no—
1379C42—434no—
1380C42—862no—
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—1721no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—861no—
1427C23—861no—
1428C23—861no—
1429C23—861no—
1430C23—861no—
1431C23—861no—
1432C23—861no—
1433C23C2×D4×D4312yes—
1434C23#41×D4312yes—
1435C23#41×D4312yes—
1436C23#41×D4312yes—
1437C23C2×#1062190012yes—
1438C23C2×#1062190012yes—
1439C23C24×D4311yescharacteristic
1440Q8—1724no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
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—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—432no—
1482C2×C4—432no—
1483C2×C4—432no—
1484C2×C4—432no—
1485C2×C4—432no—
1486C2×C4—432no—
1487C2×C4—432no—
1488C2×C4—432no—
1489C2×C4—432no—
1490C2×C4—432no—
1491C2×C4—868no—
1492C2×C4—868no—
1493C2×C4—868no—
1494C2×C4—868no—
1495C2×C4—868no—
1496C2×C4—868no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
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×C4C2×D4×D4312yes—
1538C2×C4C2×D4×D4312yes—
1539C2×C4C2×#1062190012yes—
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—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—1721no—
1569C22—1721no—
1570C22—1721no—
1571C22—1721no—
1572C22—1721no—
1573C22—1721no—
1574C22—1721no—
1575C22#1458342614yescomplemented
1576C22C22×D4×D4311yescharacteristic
1577C22C2×#41×D4311yescharacteristic
1578C22C2×#41×D4311yescharacteristic
1579C22C2×#41×D4311yescharacteristic
1580C22C22×#1062190011yescharacteristic
1581C22#1458373411yescharacteristic
1582C22#1458373411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—434no—
1595C4—862no—
1596C4—862no—
1597C4—862no—
1598C4—862no—
1599C4—862no—
1600C4—862no—
1601C4—862no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—3441no—
1614C2#525×D4311yescharacteristic
1615C2C2×#1458342611yescharacteristic
1616C2#1914797711yescharacteristic
1617C2D4×#1062190011yescharacteristic
1618C2#1914807911yescharacteristic
1619C2#1914814611yescharacteristic
1620C2#1914815011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2418C2
prime radical#19138135C2
hypercenter#2418D43
hypocenterC43#34740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#14583426C2semidirect
2. C22×#13063281C2semidirect
3. #19138863C2semidirect
4. #19138840C2semidirect
5. #19138829C2semidirect
6. #19138806C2semidirect
7. #19138797C2semidirect
8. #19138774C2semidirect
9. #19138772C2semidirect
10. #19138749C2semidirect
11. #19138738C2semidirect
12. #19138715C2semidirect
13. #19138710C2semidirect
14. #19138687C2semidirect
15. #19138408C2semidirect
16. #19138324C2semidirect
18. #19137864C2semidirect
19. #19137853C2semidirect
20. #19137851C2semidirect
21. #19137838C2semidirect
22. #19137123C2semidirect
23. #19137105C2semidirect
24. #120×Dic43C2semidirect
25. #19137094C2semidirect
26. #19137089C2semidirect
27. #19137055C2semidirect
28. #19137035C2semidirect
29. #19137031C2semidirect
30. C4×D4×Dic43C2semidirect
31. C43×#2418C2semidirect
34. C2×#13063320C22semidirect
36. C2×#13063315C22semidirect
38. C2×#13063308C22semidirect
40. C2×#13063302C22semidirect
44. C2×#13063290C22semidirect
52. C2×(C22⋊D43)⋊C4C22semidirect
53. C2×#13063283C22semidirect
68. C22×C4×Dic43C22semidirect
69. #14582841C22semidirect
70. #14582840C22semidirect
71. #14582837C22semidirect
72. #14582835C22semidirect
73. #14582834C22semidirect
74. #14582833C22semidirect
75. #14582833C22semidirect
76. #14582832C22semidirect
77. #14582830C22semidirect
78. #14582830C22semidirect
79. #14582828C22semidirect
83. #14582827C22semidirect
87. #14582822C22semidirect
88. #14582821C22semidirect
89. #14582820C22semidirect
93. #14582814C22semidirect
97. #14582804C22semidirect
100. #14582799C22semidirect
101. #14582796C22semidirect
102. #14582796C22semidirect
103. #14582795C22semidirect
104. #14582794C22semidirect
109. #14582791C22semidirect
110. #14582791C22semidirect
111. #14582790C22semidirect
112. #14582789C22semidirect
113. #14582788C22semidirect
116. #14582787C22semidirect
117. #14582786C22semidirect
118. #14582786C22semidirect
119. #14582784C22semidirect
120. #14582783C22semidirect
121. #14582782C22semidirect
122. #14582781C22semidirect
123. #14582781C22semidirect
124. #14582781C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
141. #14582772C22semidirect
147. #14582771C22semidirect
150. C4⋊C4×Dic43C22semidirect
151. C4⋊C4×Dic43C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4×C4⋊Dic43C22semidirect
155. #14582750C22semidirect
156. #14582750C22semidirect
157. #14582750C22semidirect
165. C22⋊C4×Dic43C22semidirect
166. C22⋊C4×Dic43C22semidirect
167. C22⋊C4×Dic43C22semidirect
169. C4×C22⋊Dic43C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582744C22semidirect
173. C42×Dic43C22semidirect
235. #13063281D4semidirect
758. C22×C43#529semidirect
816. #2418D43semidirect
999. C43#34740semidirect
1575. C22#14583426semidirect

Maximal subgroups

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

subgroupindex
C2×#145834262
C22×#130632812
#191388632
#191388402
#191388292
#191388062
#191387972
#191387742
#191387722
#191387492
#191387382
#191387152
#191387102
#191386872
#191384082
#191383242
#191381352
#191378642
#191378532
#191378512
#191378382
#191371232
#191371052
#120×Dic432
#191370942
#191370892
#191370552
#191370352
#191370312
C4×D4×Dic432
C43×#24182
#3474043