Finite Group Databasebeta

← #25265399

Subgroups — #25265399

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×#14583430C211yesmaximal, characteristic, complemented
2C22×#13063281C211yesmaximal, characteristic, complemented
3#19138858C211yesmaximal, characteristic, complemented
4#19138835C211yesmaximal, characteristic, complemented
5#19138832C211yesmaximal, characteristic, complemented
6#19138809C211yesmaximal, characteristic, complemented
7#19138800C211yesmaximal, characteristic, complemented
8#19138777C211yesmaximal, characteristic, complemented
9#19138769C211yesmaximal, characteristic, complemented
10#19138746C211yesmaximal, characteristic, complemented
11#19138743C211yesmaximal, characteristic, complemented
12#19138720C211yesmaximal, characteristic, complemented
13#19138707C211yesmaximal, characteristic, complemented
14#19138684C211yesmaximal, characteristic, complemented
15#19138398C211yesmaximal, characteristic, complemented
16#19138326C211yesmaximal, characteristic, complemented
17#19138053C211yesmaximal, characteristic, complemented
18#19137870C211yesmaximal, characteristic, complemented
19#19137851C211yesmaximal, characteristic, complemented
20#19137851C211yesmaximal, characteristic, complemented
21#19137830C211yesmaximal, characteristic, complemented
22#19137127C211yesmaximal, characteristic, complemented
23#121×Dic43C211yesmaximal, characteristic, complemented
24#120×Dic43C211yesmaximal, characteristic, complemented
25#120×Dic43C211yesmaximal, characteristic, complemented
26#19137089C211yesmaximal, characteristic, complemented
27#19137057C211yesmaximal, characteristic, complemented
28#19137035C211yesmaximal, characteristic, complemented
29#19137035C211yesmaximal, characteristic, complemented
30C4×D4×Dic43C211yesmaximal, characteristic, complemented
31C43×#2424C211yesmaximal, characteristic
32C24×Dic43C2211yescharacteristic
33#14583430—28no—
34C2×#13063318C2211yescharacteristic
35C2×#13063318C2211yescharacteristic, complemented
36C2×#13063316C2211yescharacteristic, complemented
37C2×#13063312C2211yescharacteristic
38C2×#13063306C2211yescharacteristic
39C2×#13063306C2211yescharacteristic, complemented
40C2×#13063304C2211yescharacteristic, complemented
41C2×#13063302C2211yescharacteristic
42C2×#13063290C2211yescharacteristic, complemented
43C2×D4×Dic43C2211yescharacteristic
44C2×D4×Dic43C2211yescharacteristic
45C2×D4×Dic43C2211yescharacteristic
46C2×D4×Dic43C2211yescharacteristic
47C2×D4×Dic43C2211yescharacteristic
48C2×D4×Dic43C2211yescharacteristic
49C2×D4×Dic43C2211yescharacteristic
50C2×D4×Dic43C2211yescharacteristic, complemented
51C2×#13063281—28no—
52C2×#13063281C2211yescharacteristic
53C2×#13063281C2211yescharacteristic
54C2×#13063281C2211yescharacteristic
55C2×#13063281C2211yescharacteristic
56C2×#13063281C2211yescharacteristic
57C2×#13063281C2211yescharacteristic
58C2×#13063281C2211yescharacteristic
59C2×#13063281C2211yescharacteristic
60C2×#13063281C2211yescharacteristic, complemented
61C22×Dic43⋊C4C2211yescharacteristic
62C22×Dic43⋊C4C2211yescharacteristic
63C22×C22⋊Dic43C2211yescharacteristic
64C22×C4×Dic43C2211yescharacteristic
65C22×C4×Dic43C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic, complemented
67#14582841C2211yescharacteristic, complemented
68#14582841C2211yescharacteristic, complemented
69#14582840C2211yescharacteristic, complemented
70#14582835C2211yescharacteristic
71#14582835C2211yescharacteristic, complemented
72#14582835C2211yescharacteristic, complemented
73#14582832C2211yescharacteristic, complemented
74#14582832C2211yescharacteristic, complemented
75#14582832C2211yescharacteristic, complemented
76#14582831C2211yescharacteristic, complemented
77#14582829C2211yescharacteristic, complemented
78#14582827C2211yescharacteristic
79#14582827C2211yescharacteristic
80#14582827C2211yescharacteristic, complemented
81#14582827C2211yescharacteristic, complemented
82#14582824C2211yescharacteristic
83#14582824C2211yescharacteristic
84#14582824C2211yescharacteristic
85#14582822C2211yescharacteristic
86#14582822C2211yescharacteristic, complemented
87#14582822C2211yescharacteristic, complemented
88#14582819C2211yescharacteristic, complemented
89#14582813C2211yescharacteristic
90#14582813C2211yescharacteristic
91#14582813C2211yescharacteristic
92#14582813C2211yescharacteristic
93#14582813C2211yescharacteristic, complemented
94#14582811C2211yescharacteristic
95#14582803C2211yescharacteristic, complemented
96#14582802C2211yescharacteristic
97#14582802C2211yescharacteristic, complemented
98#14582798C2211yescharacteristic, complemented
99#14582797C2211yescharacteristic, complemented
100#14582795C2211yescharacteristic, complemented
101#14582794C2211yescharacteristic, complemented
102#14582793C2211yescharacteristic
103#14582793C2211yescharacteristic
104#14582793C2211yescharacteristic
105#14582793C2211yescharacteristic, complemented
106#14582793C2211yescharacteristic, complemented
107#14582792C2211yescharacteristic
108#14582792C2211yescharacteristic, complemented
109#14582792C2211yescharacteristic, complemented
110#14582787C2211yescharacteristic
111#14582787C2211yescharacteristic
112#14582787C2211yescharacteristic
113#14582787C2211yescharacteristic, complemented
114#14582787C2211yescharacteristic, complemented
115#14582786C2211yescharacteristic, complemented
116#14582784C2211yescharacteristic, complemented
117#14582784C2211yescharacteristic, complemented
118#14582784C2211yescharacteristic, complemented
119#14582783C2211yescharacteristic, complemented
120#14582782C2211yescharacteristic, complemented
121#14582782C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582780C2211yescharacteristic, complemented
124#14582780C2211yescharacteristic, complemented
125#14582779C2211yescharacteristic
126#14582779C2211yescharacteristic
127#14582779C2211yescharacteristic
128#14582779C2211yescharacteristic
129#14582779C2211yescharacteristic
130#14582779C2211yescharacteristic
131#14582779C2211yescharacteristic
132#14582779C2211yescharacteristic
133#14582779C2211yescharacteristic
134#14582779C2211yescharacteristic
135#14582774C2211yescharacteristic
136#14582774C2211yescharacteristic
137#14582774C2211yescharacteristic
138#14582774C2211yescharacteristic
139#14582774C2211yescharacteristic
140#14582774C2211yescharacteristic
141#14582772C2211yescharacteristic
142#14582772C2211yescharacteristic
143#14582772C2211yescharacteristic, complemented
144#14582771C2211yescharacteristic
145#14582771C2211yescharacteristic, complemented
146#14582759C2211yescharacteristic
147#14582757C2211yescharacteristic
148#14582755C2211yescharacteristic
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
168C22⋊C4×Dic43C2211yescharacteristic, complemented
169C22⋊C4×Dic43C2211yescharacteristic, complemented
170C4×C22⋊Dic43C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic, complemented
172#14582744C2211yescharacteristic, complemented
173C42×Dic43C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×#121×C43C2211yescharacteristic
176C2×#120×C43C2211yescharacteristic
177C2×#120×C43C2211yescharacteristic
178C2×C4×D4×C43C2211yescharacteristic
179C22×C22⋊C4×C43C2211yescharacteristic
180C43×#396C2211yescharacteristic
181C43×#394C2211yescharacteristic
182C43×#394C2211yescharacteristic
183C43×#392C2211yescharacteristic
184C43×#390C2211yescharacteristic
185C43×#388C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#386C2211yescharacteristic
188C43×#385C2211yescharacteristic
189C22×Dic86C2311yescharacteristic
190C23×Dic43—24no—
191C23×Dic43—24no—
192C23×Dic43—24no—
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204#13063318—24no—
205#13063318—24no—
206#13063316—24no—
207#13063312—24no—
208#13063306—24no—
209#13063306—24no—
210#13063304—24no—
211#13063302—24no—
212#13063290—24no—
213D4×Dic43—24no—
214D4×Dic43—24no—
215D4×Dic43—24no—
216D4×Dic43—24no—
217D4×Dic43—24no—
218D4×Dic43—24no—
219D4×Dic43—24no—
220D4×Dic43—24no—
221#13063281—24no—
222#13063281—24no—
223#13063281—24no—
224#13063281—24no—
225#13063281—24no—
226#13063281—24no—
227#13063281—24no—
228#13063281—24no—
229#13063281D418yescomplemented
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×Dic43⋊C4—24no—
241C2×Dic43⋊C4—24no—
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×C22⋊Dic43—24no—
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×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×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C4×Dic43—24no—
291C2×C4×Dic43—24no—
292C2×C4×Dic43—24no—
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
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
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×D4×C43C2311yescharacteristic
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C22×D4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C23×C4×C43C2311yescharacteristic
354C23×C4×C43C2311yescharacteristic
355#121×C43—24no—
356#121×C43—24no—
357#120×C43—24no—
358#120×C43—24no—
359C4×D4×C43—24no—
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43—24no—
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×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C42×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
396C24×C43C2411yescharacteristic
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—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—22no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43—22no—
410C2×D4×C43—22no—
411C2×D4×C43—22no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43#4114yes—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—22no—
422C22×C4×C43—22no—
423C22×C4×C43—22no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43—41no—
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×Dic43—232no—
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—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—22no—
464C22×Dic43—22no—
465C22×Dic43—41no—
466C22×Dic43—41no—
467C22×Dic43—41no—
468C22×Dic43C2×D414yes—
469C22×Dic43#4114yes—
470C22×Dic43#4114yes—
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
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
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—
494C22⋊C4×C43—22no—
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—41no—
507C22⋊C4×C43C2×D414yes—
508C22⋊C4×C43#4114yes—
509C42×C43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—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—22no—
527C22⋊Dic43—22no—
528C22⋊Dic43—22no—
529C22⋊Dic43—22no—
530C22⋊Dic43—22no—
531C22⋊Dic43—41no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534C22⋊Dic43—41no—
535C22⋊Dic43—41no—
536C22⋊Dic43—41no—
537C22⋊Dic43—41no—
538C22⋊Dic43C2×D414yes—
539C4⋊Dic43—22no—
540C4⋊Dic43—22no—
541C4⋊Dic43—22no—
542C4⋊Dic43—22no—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—22no—
546C4⋊Dic43—22no—
547C4⋊Dic43—22no—
548C4⋊Dic43—41no—
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—41no—
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—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—44no—
617C23×C43—44no—
618C23×C43—44no—
619C23×C43—44no—
620C23×C43—44no—
621C23×C43—44no—
622C23×C43C22×D412yes—
623C23×C43C2×#4112yes—
624C23×C43C2×#4112yes—
625C23×C43C2×#4112yes—
626C23×C43C2×#4112yes—
627C23×C43C2×#4112yes—
628C23×C43C2511yescharacteristic
629D4×C43—28no—
630D4×C43—44no—
631D4×C43—44no—
632D4×C43—44no—
633D4×C43—44no—
634D4×C43—44no—
635D4×C43—44no—
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—44no—
662C2×C4×C43—44no—
663C2×C4×C43—44no—
664C2×C4×C43C22×D412yes—
665C2×C4×C43C22×D412yes—
666C2×C4×C43C2×#4112yes—
667C2×C4×C43C2×#4112yes—
668C2×C4×C43C2×#4112yes—
669C2×Dic43—28no—
670C2×Dic43—28no—
671C2×Dic43—28no—
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—28no—
683C2×Dic43—28no—
684C2×Dic43—28no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
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—21no—
714C2×Dic43—21no—
715C2×Dic43—44no—
716C2×Dic43—44no—
717C2×Dic43—44no—
718C2×Dic43—44no—
719C2×Dic43—44no—
720C2×Dic43C22×D412yes—
721C2×Dic43C22×D412yes—
722C2×Dic43C22×D412yes—
723C2×Dic43C22×D412yes—
724C2×Dic43C2×#4112yes—
725C2×Dic43C2×#4112yes—
726C2×Dic43C2×#4112yes—
727C2×Dic43C2×#4112yes—
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—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43#52914yescomplemented
766C22×C43C23×D411yescharacteristic
767C22×C43C22×#4111yescharacteristic
768C22×C43C22×#4111yescharacteristic
769C22×C43C22×#4111yescharacteristic
770C22×C43C22×#4111yescharacteristic
771C22×C43#58511yescharacteristic
772C22×C43#58511yescharacteristic
773C4×C43—22no—
774C4×C43—22no—
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—41no—
779C4×C43—41no—
780C4×C43—41no—
781C4×C43—41no—
782C4×C43—41no—
783Dic43—22no—
784Dic43—22no—
785Dic43—22no—
786Dic43—22no—
787Dic43—22no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
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#2424D4311yescharacteristic
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×C43—42no—
834C2×C43—81no—
835C2×C43C2×#52511yescharacteristic
836C2×C43C2×#52911yescharacteristic
837C2×C43#345511yescharacteristic
838C2×C43D4×#4111yescharacteristic
839C2×C43D4×#4111yescharacteristic
840C2×C43#347511yescharacteristic
841C2×C43#347511yescharacteristic
842C24×C4—431no—
843#529—868no—
844C2×#126—431no—
845C2×#126—431no—
846C2×#125—431no—
847C2×#124—431no—
848C2×#123—431no—
849C2×#123—431no—
850C2×C22⋊Q8—431no—
851C2×C22⋊Q8—431no—
852C2×#121C2×D4311yescharacteristic
853C2×#121C2×D4311yescharacteristic
854C2×#120C2×D4311yescharacteristic
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#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#397—431no—
899#397—431no—
900#397—431no—
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#394C2×D4311yescharacteristic
912#394C2×D4311yescharacteristic
913#393—431no—
914#392C2×D4311yescharacteristic
915#391—431no—
916#390—431no—
917#390—431no—
918#390C2×D4311yescharacteristic
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#388—431no—
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#380—431no—
973#379—431no—
974#379—431no—
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×D4C22×D4311yescharacteristic
1003C22×D4C22×D4311yescharacteristic
1004C22×D4C22×D4311yescharacteristic
1005C22×D4C22×D4311yescharacteristic
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—864no—
1031#123—864no—
1032C22⋊Q8—864no—
1033C22⋊Q8—864no—
1034#121—24no—
1035#121—24no—
1036#120—24no—
1037#120—24no—
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—431no—
1085C2×C4⋊C4—864no—
1086C2×C4⋊C4—864no—
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—431no—
1121C2×C22⋊C4—864no—
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#95—431no—
1191#95—431no—
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—
1203C24C23×D4311yescharacteristic
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—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
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—431no—
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—862no—
1288C22×C4—1721no—
1289C22×C4—1721no—
1290C22×C4—1721no—
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—434no—
1306C4⋊C4—434no—
1307C4⋊C4—862no—
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—1721no—
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—434no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
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—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C22⋊C4—1721no—
1375C22⋊C4D4×D4314yes—
1376C22⋊C4#1062190014yes—
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—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23C2×D4×D4312yes—
1434C23#41×D4312yes—
1435C23#41×D4312yes—
1436C23C2×#1062190012yes—
1437C23C2×#1062190012yes—
1438C23C2×#1062190012yes—
1439C23C24×D4311yescharacteristic
1440Q8—1724no—
1441D4—28no—
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
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—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—432no—
1477C2×C4—432no—
1478C2×C4—432no—
1479C2×C4—432no—
1480C2×C4—432no—
1481C2×C4—432no—
1482C2×C4—432no—
1483C2×C4—432no—
1484C2×C4—868no—
1485C2×C4—868no—
1486C2×C4—868no—
1487C2×C4—868no—
1488C2×C4—868no—
1489C2×C4—868no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
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—1724no—
1531C2×C4—1724no—
1532C2×C4—1724no—
1533C2×C4—1724no—
1534C2×C4—1724no—
1535C2×C4C2×D4×D4312yes—
1536C2×C4C2×D4×D4312yes—
1537C2×C4C2×#1062190012yes—
1538C2×C4C2×#1062190012yes—
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—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22#1458343014yescomplemented
1576C22C22×D4×D4311yescharacteristic
1577C22C2×#41×D4311yescharacteristic
1578C22C2×#41×D4311yescharacteristic
1579C22C22×#1062190011yescharacteristic
1580C22C22×#1062190011yescharacteristic
1581C22#1458373411yescharacteristic
1582C22#1458373411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—434no—
1594C4—862no—
1595C4—862no—
1596C4—862no—
1597C4—862no—
1598C4—862no—
1599C4—1721no—
1600C4—1721no—
1601C4—1721no—
1602C4—1721no—
1603C4—1721no—
1604C4—1721no—
1605C4—1721no—
1606C4—1721no—
1607C4—1721no—
1608C4—1721no—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—81no—
1614C2#525×D4311yescharacteristic
1615C2C2×#1458343011yescharacteristic
1616C2#1914797711yescharacteristic
1617C2D4×#1062190011yescharacteristic
1618C2D4×#1062190011yescharacteristic
1619C2#1914814611yescharacteristic
1620C2#1914814611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
Fitting, prime radicalC43×#2424C2
hypercenter#2424D43
hypocenterC43#34740
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#14583430C2semidirect
2. C22×#13063281C2semidirect
3. #19138858C2semidirect
4. #19138835C2semidirect
5. #19138832C2semidirect
6. #19138809C2semidirect
7. #19138800C2semidirect
8. #19138777C2semidirect
9. #19138769C2semidirect
10. #19138746C2semidirect
11. #19138743C2semidirect
12. #19138720C2semidirect
13. #19138707C2semidirect
14. #19138684C2semidirect
15. #19138398C2semidirect
16. #19138326C2semidirect
17. #19138053C2semidirect
18. #19137870C2semidirect
19. #19137851C2semidirect
20. #19137851C2semidirect
21. #19137830C2semidirect
22. #19137127C2semidirect
23. #121×Dic43C2semidirect
24. #120×Dic43C2semidirect
25. #120×Dic43C2semidirect
26. #19137089C2semidirect
27. #19137057C2semidirect
28. #19137035C2semidirect
29. #19137035C2semidirect
30. C4×D4×Dic43C2semidirect
35. C2×#13063318C22semidirect
36. C2×#13063316C22semidirect
39. C2×#13063306C22semidirect
40. C2×#13063304C22semidirect
42. C2×#13063290C22semidirect
50. C2×D4×Dic43C22semidirect
60. C2×#13063281C22semidirect
66. C22×C4×Dic43C22semidirect
67. #14582841C22semidirect
68. #14582841C22semidirect
69. #14582840C22semidirect
71. #14582835C22semidirect
72. #14582835C22semidirect
73. #14582832C22semidirect
74. #14582832C22semidirect
75. #14582832C22semidirect
76. #14582831C22semidirect
77. #14582829C22semidirect
80. #14582827C22semidirect
81. #14582827C22semidirect
86. #14582822C22semidirect
87. #14582822C22semidirect
88. #14582819C22semidirect
93. #14582813C22semidirect
95. #14582803C22semidirect
97. #14582802C22semidirect
98. #14582798C22semidirect
99. #14582797C22semidirect
100. #14582795C22semidirect
101. #14582794C22semidirect
105. #14582793C22semidirect
106. #14582793C22semidirect
108. #14582792C22semidirect
109. #14582792C22semidirect
113. #14582787C22semidirect
114. #14582787C22semidirect
115. #14582786C22semidirect
116. #14582784C22semidirect
117. #14582784C22semidirect
118. #14582784C22semidirect
119. #14582783C22semidirect
120. #14582782C22semidirect
121. #14582782C22semidirect
122. #14582781C22semidirect
123. #14582780C22semidirect
124. #14582780C22semidirect
143. #14582772C22semidirect
145. #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
168. C22⋊C4×Dic43C22semidirect
169. C22⋊C4×Dic43C22semidirect
171. C4×C22⋊Dic43C22semidirect
172. #14582744C22semidirect
173. C42×Dic43C22semidirect
229. #13063281D4semidirect
765. C22×C43#529semidirect
999. C43#34740semidirect
1575. C22#14583430semidirect

Maximal subgroups

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

subgroupindex
C2×#145834302
C22×#130632812
#191388582
#191388352
#191388322
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