Finite Group Databasebeta

← D43×#2488 #25265523

Subgroups — D43×#2488 #25265523

Order 11008.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D43C211yesmaximal, characteristic
2C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
3#19138928C211yesmaximal, characteristic, complemented
4#19138927C211yesmaximal, characteristic, complemented
5#19138926C211yesmaximal, characteristic, complemented
6#19138925C211yesmaximal, characteristic, complemented
7#19138924C211yesmaximal, characteristic, complemented
8#19138923C211yesmaximal, characteristic, complemented
9#19138922C211yesmaximal, characteristic, complemented
10#19138921C211yesmaximal, characteristic, complemented
11#19138920C211yesmaximal, characteristic, complemented
12#19138919C211yesmaximal, characteristic, complemented
13#19138918C211yesmaximal, characteristic, complemented
14#19138917C211yesmaximal, characteristic, complemented
15#19138916C211yesmaximal, characteristic, complemented
16#19138915C211yesmaximal, characteristic, complemented
17#19138914C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#400×D43C211yesmaximal, characteristic, complemented
20#397×D43C211yesmaximal, characteristic, complemented
21#393×D43C211yesmaximal, characteristic, complemented
22#391×D43C211yesmaximal, characteristic, complemented
23#388×D43C211yesmaximal, characteristic, complemented
24#388×D43C211yesmaximal, characteristic, complemented
25#386×D43C211yesmaximal, characteristic
26#386×D43C211yesmaximal, characteristic
27#382×D43C211yesmaximal, characteristic, complemented
28#381×D43C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
30C2×#95×D43C211yesmaximal, characteristic, complemented
31C43×#2488C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063309C2211yescharacteristic
40C2×#13063308C2211yescharacteristic
41C2×#13063307C2211yescharacteristic
42C2×#13063307C2211yescharacteristic
43C2×#13063306C2211yescharacteristic
44#123×D43—28no—
45C2×#13063305C2211yescharacteristic, complemented
46C2×#13063304C2211yescharacteristic, complemented
47C2×#13063303C2211yescharacteristic, complemented
48C2×#13063303C2211yescharacteristic, complemented
49C2×#13063302C2211yescharacteristic, complemented
50C2×#13063302C2211yescharacteristic, complemented
51C2×#13063301C2211yescharacteristic, complemented
52C22⋊Q8×D43—28no—
53C2×C4⋊C4×D43C2211yescharacteristic
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C22⋊C4×D43C2211yescharacteristic
59C2×C22⋊C4×D43C2211yescharacteristic
60C2×C22⋊C4×D43C2211yescharacteristic
61C2×C22⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C42×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69#14582841C2211yescharacteristic, complemented
70#14582841C2211yescharacteristic, complemented
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582840C2211yescharacteristic, complemented
75#14582840C2211yescharacteristic, complemented
76#14582840C2211yescharacteristic, complemented
77#14582839C2211yescharacteristic, complemented
78#14582839C2211yescharacteristic, complemented
79#14582838C2211yescharacteristic, complemented
80#14582838C2211yescharacteristic, complemented
81#14582837C2211yescharacteristic, complemented
82#14582837C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582828C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582827C2211yescharacteristic, complemented
87#14582826C2211yescharacteristic, complemented
88#14582825C2211yescharacteristic, complemented
89#14582824C2211yescharacteristic, complemented
90#14582812C2211yescharacteristic, complemented
91#14582812C2211yescharacteristic, complemented
92#14582812C2211yescharacteristic, complemented
93#14582811C2211yescharacteristic, complemented
94#14582811C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582810C2211yescharacteristic, complemented
97#14582806C2211yescharacteristic, complemented
98#14582805C2211yescharacteristic, complemented
99#14582804C2211yescharacteristic, complemented
100#14582803C2211yescharacteristic, complemented
101#14582803C2211yescharacteristic, complemented
102#14582803C2211yescharacteristic, complemented
103#14582803C2211yescharacteristic, complemented
104#14582793C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic, complemented
106#14582792C2211yescharacteristic, complemented
107#14582792C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic, complemented
109#14582791C2211yescharacteristic, complemented
110#14582790C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582789C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic, complemented
114#14582788C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic, complemented
117#14582787C2211yescharacteristic, complemented
118#14582779C2211yescharacteristic
119#14582779C2211yescharacteristic
120#14582778C2211yescharacteristic
121#14582778C2211yescharacteristic
122#14582777C2211yescharacteristic
123#14582777C2211yescharacteristic
124#14582777C2211yescharacteristic
125#14582777C2211yescharacteristic
126#14582776C2211yescharacteristic
127#14582776C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582775C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582775C2211yescharacteristic
132#14582765C2211yescharacteristic, complemented
133#14582764C2211yescharacteristic, complemented
134#14582764C2211yescharacteristic, complemented
135#14582763C2211yescharacteristic, complemented
136#14582763C2211yescharacteristic, complemented
137#14582763C2211yescharacteristic, complemented
138#14582763C2211yescharacteristic, complemented
139#14582762C2211yescharacteristic, complemented
140#14582761C2211yescharacteristic, complemented
141#14582761C2211yescharacteristic, complemented
142#14582761C2211yescharacteristic, complemented
143#14582761C2211yescharacteristic, complemented
144#14582760C2211yescharacteristic, complemented
145#14582760C2211yescharacteristic, complemented
146C22⋊C4×Dic43C2211yescharacteristic, complemented
147C22⋊C4×Dic43C2211yescharacteristic, complemented
148C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
150C4×C22⋊Dic43C2211yescharacteristic, complemented
151#14582746C2211yescharacteristic, complemented
152#14582746C2211yescharacteristic, complemented
153C2×C43⋊#95C2211yescharacteristic, complemented
154C2×C43⋊#95C2211yescharacteristic, complemented
155C2×C43⋊#95C2211yescharacteristic, complemented
156#95×D43C2211yescharacteristic
157#95×D43C2211yescharacteristic
158#95×D43C2211yescharacteristic
159#95×D43C2211yescharacteristic
160#95×D43C2211yescharacteristic
161#95×D43C2211yescharacteristic
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic, complemented
171#95×D43C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#400C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#393C2211yescharacteristic, complemented
180C43×#391C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#382C2211yescharacteristic, complemented
186C43×#381C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C2×Q8×D43—24no—
195C2×Q8×D43—24no—
196C2×Q8×D43—42no—
197C22×D172C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C2×D4×D43—24no—
201C2×D4×D43—24no—
202C2×D4×D43—24no—
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C22×C4×D43—24no—
207C22×C4×D43—24no—
208C22×C4×D43—24no—
209C22×C4×D43—24no—
210C22×C4×D43—24no—
211C22×C4×D43—24no—
212C22×C4×D43—24no—
213C22×C4×D43—42no—
214C22×C4×D43—42no—
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234#13063310—24no—
235#13063310—24no—
236#13063309—24no—
237#13063308—24no—
238#13063307—24no—
239#13063307—24no—
240#13063306—24no—
241#13063305—24no—
242#13063304—24no—
243#13063303—24no—
244#13063303—24no—
245#13063302—24no—
246#13063302—24no—
247#13063301—24no—
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
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
263C4⋊C4×D43—24no—
264C4⋊C4×D43—24no—
265C4⋊C4×D43—24no—
266C4⋊C4×D43—24no—
267C4⋊C4×D43—24no—
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×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
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
295C22⋊C4×D43—24no—
296C22⋊C4×D43—24no—
297C22⋊C4×D43—24no—
298C22⋊C4×D43—24no—
299C22⋊C4×D43—24no—
300C22⋊C4×D43—24no—
301C22⋊C4×D43—42no—
302C22⋊C4×D43—42no—
303C22⋊C4×D43D418yes—
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C42×D43—24no—
311C42×D43—42no—
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×Q8×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359#123×C43—24no—
360C22⋊Q8×C43—24no—
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊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
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—22no—
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43C2×D414yes—
405C23×D43#4114yes—
406C23×D43#4114yes—
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C2×Q8×C43—22no—
411C2×Q8×C43—22no—
412C2×Q8×C43—41no—
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—22no—
422C22×C4×C43—22no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
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×C4×C43C2411yescharacteristic
438C2×C22⋊D43—22no—
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43—22no—
448C22×Dic43—22no—
449C22×Dic43—22no—
450C22×Dic43—22no—
451C22×Dic43—41no—
452C22×Dic43—41no—
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466Q8×D43—416no—
467D4×D43—416no—
468C2×D172—22no—
469C2×D172—22no—
470C2×D172—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
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—22no—
486C2×C4×D43—22no—
487C2×C4×D43—22no—
488C2×C4×D43—22no—
489C2×C4×D43—22no—
490C2×C4×D43—22no—
491C2×C4×D43—22no—
492C2×C4×D43—22no—
493C2×C4×D43—22no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—416no—
521C2×C4×D43—416no—
522C2×C4×D43—41no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—416no—
527C2×C4×D43C2×D414yes—
528C2×C4×D43C2×D414yes—
529C2×C4×D43#4114yes—
530C2×C4×D43#4114yes—
531C2×Dic86—22no—
532C2×Dic86—22no—
533C2×Dic86—22no—
534C2×Dic86—22no—
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—41no—
538C2×Dic86—41no—
539C2×Dic86—41no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—22no—
543C4⋊C4×C43—22no—
544C4⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43C2×D414yes—
554C42×C43—22no—
555C42×C43—41no—
556C22⋊Dic43—22no—
557C22⋊Dic43—22no—
558C22⋊Dic43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—41no—
563C22⋊Dic43—41no—
564C22⋊Dic43C2×D414yes—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—41no—
578(C2×D43)⋊C4—41no—
579(C2×D43)⋊C4—41no—
580(C2×D43)⋊C4—41no—
581(C2×D43)⋊C4C2×D414yes—
582(C2×D43)⋊C4C2×D414yes—
583C4⋊Dic43—22no—
584C4⋊Dic43—22no—
585C4⋊Dic43—22no—
586C4⋊Dic43—22no—
587C4⋊Dic43—22no—
588Dic43⋊C4—22no—
589Dic43⋊C4—22no—
590Dic43⋊C4—22no—
591Dic43⋊C4—22no—
592Dic43⋊C4—22no—
593Dic43⋊C4—22no—
594Dic43⋊C4—22no—
595Dic43⋊C4—22no—
596Dic43⋊C4—22no—
597Dic43⋊C4—22no—
598C4×Dic43—22no—
599C4×Dic43—22no—
600C4×Dic43—22no—
601C4×Dic43—41no—
602C4×Dic43—41no—
603C4×Dic43—41no—
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×C43C22×D412yes—
616C23×C43C2×#4112yes—
617C23×C43C2×#4112yes—
618C23×C43C2511yescharacteristic
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—28no—
624C22×D43—28no—
625C22×D43—28no—
626C22×D43—28no—
627C22×D43—28no—
628C22×D43—28no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43#124116yes—
644C22×D43C22×D412yes—
645C22×D43C22×D412yes—
646C22×D43C2×#4112yes—
647C22×D43C2×#4112yes—
648C22×D43C2×#4112yes—
649C22×D43C2×#4112yes—
650C22×D43C2×#4112yes—
651C22×D43C2×#4112yes—
652C22×D43H(5,𝔽2)12yes—
653C22×D432−1+412yes—
654Q8×C43—44no—
655D4×C43—44no—
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—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—44no—
692C2×C4×C43—44no—
693C2×C4×C43—44no—
694C2×C4×C43C22×D412yes—
695C2×C4×C43C22×D412yes—
696C2×C4×C43C2×#4112yes—
697C2×C4×C43C2×#4112yes—
698C22⋊D43—44no—
699C22⋊D43—44no—
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—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—44no—
736C2×Dic43—44no—
737C2×Dic43—44no—
738C2×Dic43C22×D412yes—
739C2×Dic43C22×D412yes—
740C2×Dic43C2×#4112yes—
741C2×Dic43C2×#4112yes—
742D172—44no—
743C4×D43—28no—
744C4×D43—28no—
745C4×D43—28no—
746C4×D43—28no—
747C4×D43—44no—
748C4×D43—44no—
749C4×D43—44no—
750C4×D43—44no—
751C4×D43—44no—
752C4×D43—44no—
753C4×D43—44no—
754C4×D43—44no—
755C4×D43—44no—
756C4×D43—44no—
757C4×D43—44no—
758C4×D43—44no—
759C4×D43—44no—
760C4×D43—44no—
761C4×D43—44no—
762Dic86—44no—
763Dic86—44no—
764Dic86—44no—
765C2×#2488—431nomaximal, Sylow
766C22×C43—22no—
767C22×C43—22no—
768C22×C43—22no—
769C22×C43—22no—
770C22×C43—22no—
771C22×C43—22no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43C2×#12414yes—
780C22×C43C23×D411yescharacteristic
781C22×C43C22×#4111yescharacteristic
782C22×C43C22×#4111yescharacteristic
783C22×C43C22×#4111yescharacteristic
784C22×C43C22×#4111yescharacteristic
785C22×C43C2×H(5,𝔽2)11yescharacteristic
786C22×C43C2×2−1+411yescharacteristic
787C2×D43—22no—
788C2×D43—22no—
789C2×D43—22no—
790C2×D43—22no—
791C2×D43—22no—
792C2×D43—22no—
793C2×D43—232no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—88no—
802C2×D43C2×#12414yes—
803C2×D43C2×#12414yes—
804C2×D43#52914yes—
805C2×D43#53914yes—
806C2×D43#54614yes—
807C2×D43#54714yes—
808C2×D43#55114yes—
809C2×D43#55214yes—
810C4×C43—22no—
811C4×C43—22no—
812C4×C43—22no—
813C4×C43—22no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823Dic43—22no—
824Dic43—22no—
825Dic43—22no—
826Dic43—22no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836C22×#123—431no—
837C22×C22⋊Q8—431no—
838#2488—431no—
839#2488—431no—
840#2488—431no—
841#2488—431no—
842#2488—431no—
843#2488—431no—
844#2488—431no—
845#2488—431no—
846#2488—431no—
847#2488—431no—
848#2488—431no—
849#2488—431no—
850#2488—431no—
851#2488—431no—
852#2488—431no—
853#2488D4311yescharacteristic, direct product factor
854C2×#400—431no—
855C2×#400—431no—
856C2×#397—431no—
857C2×#393—431no—
858C2×#391—431no—
859C2×#388—431no—
860C2×#388—431no—
861C2×#386—431no—
862C2×#386—431no—
863C2×#382—431no—
864C2×#381—431no—
865C2×C4×C22⋊C4—431no—
866C22×#95—431no—
867C2×C43—24no—
868C2×C43—81no—
869C2×C43C22×#12411yescharacteristic
870C2×C43C2×#52911yescharacteristic
871C2×C43C2×#53911yescharacteristic
872C2×C43C2×#54611yescharacteristic
873C2×C43C2×#54711yescharacteristic
874C2×C43C2×#55111yescharacteristic
875C2×C43C2×#55211yescharacteristic
876D43—24no—
877D43—81no—
878D43#248818yesdirect product factor
879C23×Q8—431no—
880C23×D4—431no—
881C24×C4—431no—
882C24×C4—431no—
883C24×C4—431no—
884C2×#123—431no—
885C2×#123—431no—
886C2×#123—431no—
887C2×#123—431no—
888C2×#123—431no—
889C2×#123—431no—
890C2×#123—431no—
891C2×#123—868no—
892C2×#123C2×D4311yescharacteristic
893C2×C22⋊Q8—431no—
894C2×C22⋊Q8—431no—
895C2×C22⋊Q8—431no—
896C2×C22⋊Q8—431no—
897C2×C22⋊Q8—431no—
898C2×C22⋊Q8—431no—
899C2×C22⋊Q8—431no—
900C2×C22⋊Q8—868no—
901C2×C22⋊Q8C2×D4311yescharacteristic, complemented
902C22×C4⋊C4—431no—
903C22×C4⋊C4—431no—
904C22×C4⋊C4—431no—
905C22×C4⋊C4—431no—
906C22×C4⋊C4—431no—
907C22×C22⋊C4—431no—
908C22×C22⋊C4—431no—
909C22×C22⋊C4—431no—
910C22×C22⋊C4—431no—
911C22×C22⋊C4—431no—
912C22×C22⋊C4—431no—
913C22×C22⋊C4—431no—
914C22×C22⋊C4—431no—
915C22×C22⋊C4—431no—
916C22×C42—431no—
917C22×C42—431no—
918#400—431no—
919#400—431no—
920#400—431no—
921#400—431no—
922#400—431no—
923#400—431no—
924#400—431no—
925#400—431no—
926#400—431no—
927#400—431no—
928#400—431no—
929#400—431no—
930#400—431no—
931#400—431no—
932#400C2×D4311yescharacteristic, complemented
933#400C2×D4311yescharacteristic, complemented
934#397—431no—
935#397—431no—
936#397—431no—
937#397—431no—
938#397—431no—
939#397—431no—
940#397—431no—
941#397C2×D4311yescharacteristic, complemented
942#393—431no—
943#393—431no—
944#393—431no—
945#393—431no—
946#393—431no—
947#393—431no—
948#393—431no—
949#393C2×D4311yescharacteristic, complemented
950#391—431no—
951#391—431no—
952#391—431no—
953#391—431no—
954#391—431no—
955#391—431no—
956#391—431no—
957#391C2×D4311yescharacteristic, complemented
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388C2×D4311yescharacteristic, complemented
973#388C2×D4311yescharacteristic, complemented
974#386—431no—
975#386—431no—
976#386—431no—
977#386—431no—
978#386—431no—
979#386—431no—
980#386—431no—
981#386—431no—
982#386—431no—
983#386—431no—
984#386—431no—
985#386—431no—
986#386—431no—
987#386—431no—
988#386C2×D4311yescharacteristic
989#386C2×D4311yescharacteristic
990#382—431no—
991#382—431no—
992#382—431no—
993#382—431no—
994#382—431no—
995#382—431no—
996#382—431no—
997#382C2×D4311yescharacteristic, complemented
998#381—431no—
999#381—431no—
1000#381—431no—
1001#381—431no—
1002#381—431no—
1003#381—431no—
1004#381—431no—
1005#381C2×D4311yescharacteristic, complemented
1006C4×C22⋊C4—431no—
1007C4×C22⋊C4—431no—
1008C4×C22⋊C4—431no—
1009C4×C22⋊C4—431no—
1010C4×C22⋊C4—431no—
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4—431no—
1013C4×C22⋊C4C2×D4311yescharacteristic, complemented
1014C2×#95—431no—
1015C2×#95—431no—
1016C2×#95—431no—
1017C2×#95—431no—
1018C2×#95—431no—
1019C2×#95—431no—
1020C2×#95—431no—
1021C2×#95—431no—
1022C2×#95—431no—
1023C2×#95—431no—
1024C2×#95—431no—
1025C2×#95—431no—
1026C2×#95—431no—
1027C2×#95—431no—
1028C2×#95—431no—
1029C2×#95—431no—
1030C2×#95—431no—
1031C2×#95—431no—
1032C2×#95—431no—
1033C2×#95—431no—
1034C2×#95—431no—
1035C2×#95C2×D4311yescharacteristic, complemented
1036C43C2×#248811yescharacteristic, complemented, Sylow
1037C25—431no—
1038C25—431no—
1039C22×Q8—431no—
1040C22×Q8—431no—
1041C22×Q8—431no—
1042C22×Q8—864no—
1043C22×Q8—864no—
1044C22×Q8—1722no—
1045C22×Q8C22×D4311yescharacteristic
1046C22×D4—431no—
1047C22×D4—431no—
1048C22×D4—431no—
1049C22×D4—864no—
1050C22×D4—864no—
1051C22×D4—864no—
1052C22×D4C22×D4311yescharacteristic
1053C23×C4—431no—
1054C23×C4—431no—
1055C23×C4—431no—
1056C23×C4—431no—
1057C23×C4—431no—
1058C23×C4—431no—
1059C23×C4—431no—
1060C23×C4—431no—
1061C23×C4—431no—
1062C23×C4—431no—
1063C23×C4—431no—
1064C23×C4—431no—
1065C23×C4—431no—
1066C23×C4—431no—
1067C23×C4—431no—
1068C23×C4—431no—
1069C23×C4—431no—
1070C23×C4—431no—
1071C23×C4—431no—
1072C23×C4—431no—
1073C23×C4—431no—
1074C23×C4—431no—
1075C23×C4—864no—
1076C23×C4—864no—
1077C23×C4—864no—
1078C23×C4—864no—
1079C23×C4—864no—
1080C23×C4—864no—
1081C23×C4—864no—
1082C23×C4—1722no—
1083C23×C4—1722no—
1084C23×C4C22×D4311yescharacteristic
1085C23×C4C22×D4311yescharacteristic
1086C23×C4C22×D4311yescharacteristic
1087#123—24no—
1088#123—864no—
1089#123—864no—
1090#123—864no—
1091#123—864no—
1092#123—864no—
1093#123—864no—
1094#123—864no—
1095C22⋊Q8—24no—
1096C22⋊Q8—864no—
1097C22⋊Q8—864no—
1098C22⋊Q8—864no—
1099C22⋊Q8—864no—
1100C22⋊Q8—864no—
1101C22⋊Q8—864no—
1102C22⋊Q8—864no—
1103C2×C4⋊C4—431no—
1104C2×C4⋊C4—431no—
1105C2×C4⋊C4—431no—
1106C2×C4⋊C4—431no—
1107C2×C4⋊C4—431no—
1108C2×C4⋊C4—431no—
1109C2×C4⋊C4—431no—
1110C2×C4⋊C4—431no—
1111C2×C4⋊C4—431no—
1112C2×C4⋊C4—431no—
1113C2×C4⋊C4—431no—
1114C2×C4⋊C4—431no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—431no—
1117C2×C4⋊C4—431no—
1118C2×C4⋊C4—864no—
1119C2×C4⋊C4—864no—
1120C2×C4⋊C4—864no—
1121C2×C4⋊C4—864no—
1122C2×C4⋊C4—864no—
1123C2×C4⋊C4C22×D4311yescharacteristic
1124C2×C4⋊C4C22×D4311yescharacteristic
1125C2×C4⋊C4C22×D4311yescharacteristic
1126C2×C4⋊C4C22×D4311yescharacteristic
1127C2×C4⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—438no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—864no—
1157C2×C22⋊C4—864no—
1158C2×C22⋊C4—864no—
1159C2×C22⋊C4—864no—
1160C2×C22⋊C4—864no—
1161C2×C22⋊C4—864no—
1162C2×C22⋊C4—1722no—
1163C2×C22⋊C4—1722no—
1164C2×C22⋊C4C22×D4311yescharacteristic
1165C2×C22⋊C4C22×D4311yescharacteristic
1166C2×C22⋊C4C22×D4311yescharacteristic
1167C2×C22⋊C4C22×D4311yescharacteristic
1168C2×C22⋊C4C22×D4311yescharacteristic
1169C2×C22⋊C4C22×D4311yescharacteristic
1170C2×C22⋊C4C22×D4311yescharacteristic
1171C2×C22⋊C4C22×D4311yescharacteristic
1172C2×C22⋊C4C22×D4311yescharacteristic
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—864no—
1180C2×C42—1722no—
1181C2×C42C22×D4311yescharacteristic
1182C2×C42C22×D4311yescharacteristic
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#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95—431no—
1210#95—431no—
1211#95—431no—
1212#95—431no—
1213#95—431no—
1214#95—431no—
1215#95—431no—
1216#95—431no—
1217#95—431no—
1218#95—431no—
1219#95—431no—
1220#95—431no—
1221#95—431no—
1222#95—431no—
1223#95—431no—
1224#95—431no—
1225#95C22×D4311yescharacteristic
1226#95C22×D4311yescharacteristic
1227#95C22×D4311yescharacteristic
1228#95C22×D4311yescharacteristic
1229#95C22×D4311yescharacteristic
1230#95C22×D4311yescharacteristic
1231#95C22×D4311yescharacteristic
1232#95C22×D4311yescharacteristic
1233#95C22×D4311yescharacteristic
1234#95C22×D4311yescharacteristic
1235#95C22×D4311yescharacteristic
1236#95C22×D4311yescharacteristic
1237#95C22×D4311yescharacteristic
1238#95C22×D4311yescharacteristic
1239C24—431no—
1240C24—434no—
1241C24—434no—
1242C24—434no—
1243C24—431no—
1244C24—431no—
1245C24—862no—
1246C24—862no—
1247C24—862no—
1248C24—862no—
1249C24—862no—
1250C24—862no—
1251C24—862no—
1252C24—862no—
1253C24—862no—
1254C24—862no—
1255C24—862no—
1256C24C23×D4311yescharacteristic
1257C24C23×D4311yescharacteristic
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—862no—
1262C2×Q8—862no—
1263C2×Q8—862no—
1264C2×Q8—862no—
1265C2×Q8—862no—
1266C2×Q8—862no—
1267C2×Q8—1721no—
1268C2×Q8—1721no—
1269C2×Q8—1721no—
1270C2×Q8—17216no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—862no—
1275C2×D4—862no—
1276C2×D4—862no—
1277C2×D4—862no—
1278C2×D4—862no—
1279C2×D4—862no—
1280C2×D4—862no—
1281C2×D4—862no—
1282C2×D4—862no—
1283C2×D4—17216no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—434no—
1298C22×C4—434no—
1299C22×C4—434no—
1300C22×C4—434no—
1301C22×C4—431no—
1302C22×C4—431no—
1303C22×C4—431no—
1304C22×C4—431no—
1305C22×C4—431no—
1306C22×C4—431no—
1307C22×C4—431no—
1308C22×C4—431no—
1309C22×C4—431no—
1310C22×C4—862no—
1311C22×C4—862no—
1312C22×C4—862no—
1313C22×C4—862no—
1314C22×C4—862no—
1315C22×C4—862no—
1316C22×C4—862no—
1317C22×C4—862no—
1318C22×C4—862no—
1319C22×C4—862no—
1320C22×C4—862no—
1321C22×C4—862no—
1322C22×C4—862no—
1323C22×C4—862no—
1324C22×C4—862no—
1325C22×C4—862no—
1326C22×C4—862no—
1327C22×C4—862no—
1328C22×C4—862no—
1329C22×C4—862no—
1330C22×C4—862no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—862no—
1334C22×C4—862no—
1335C22×C4—862no—
1336C22×C4—862no—
1337C22×C4—862no—
1338C22×C4—862no—
1339C22×C4—862no—
1340C22×C4—862no—
1341C22×C4—862no—
1342C22×C4—862no—
1343C22×C4—862no—
1344C22×C4—862no—
1345C22×C4—862no—
1346C22×C4—862no—
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—1721no—
1367C22×C4—1721no—
1368C22×C4—1721no—
1369C22×C4—1721no—
1370C22×C4—17216no—
1371C22×C4—17216no—
1372C22×C4—17216no—
1373C22×C4—1721no—
1374C22×C4—1721no—
1375C22×C4C23×D4311yescharacteristic
1376C22×C4C23×D4311yescharacteristic
1377C22×C4C23×D4311yescharacteristic
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381C22×C4C23×D4311yescharacteristic
1382C22×C4C23×D4311yescharacteristic
1383C22×C4C23×D4311yescharacteristic
1384C22×C4C23×D4311yescharacteristic
1385C22×C4C23×D4311yescharacteristic
1386C22×C4C23×D4311yescharacteristic
1387C22×C4C23×D4311yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—862no—
1394C4⋊C4—862no—
1395C4⋊C4—862no—
1396C4⋊C4—862no—
1397C4⋊C4—862no—
1398C4⋊C4—862no—
1399C4⋊C4—862no—
1400C4⋊C4—862no—
1401C4⋊C4—862no—
1402C4⋊C4—862no—
1403C4⋊C4—862no—
1404C4⋊C4—862no—
1405C4⋊C4—862no—
1406C4⋊C4—862no—
1407C4⋊C4—862no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—434no—
1417C22⋊C4—434no—
1418C22⋊C4—434no—
1419C22⋊C4—862no—
1420C22⋊C4—862no—
1421C22⋊C4—862no—
1422C22⋊C4—862no—
1423C22⋊C4—862no—
1424C22⋊C4—862no—
1425C22⋊C4—862no—
1426C22⋊C4—862no—
1427C22⋊C4—862no—
1428C22⋊C4—862no—
1429C22⋊C4—862no—
1430C22⋊C4—862no—
1431C22⋊C4—862no—
1432C22⋊C4—862no—
1433C22⋊C4—862no—
1434C22⋊C4—862no—
1435C22⋊C4—862no—
1436C22⋊C4—862no—
1437C22⋊C4—1721no—
1438C22⋊C4—1721no—
1439C22⋊C4—1721no—
1440C22⋊C4—1721no—
1441C22⋊C4—1721no—
1442C22⋊C4—1721no—
1443C22⋊C4D4×D4314yes—
1444C42—22no—
1445C42—41no—
1446C42—862no—
1447C42—862no—
1448C42—862no—
1449C42—1721no—
1450C42—1721no—
1451C42—1721no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—432no—
1464C23—432no—
1465C23—432no—
1466C23—432no—
1467C23—432no—
1468C23—432no—
1469C23—432no—
1470C23—4316no—
1471C23—432no—
1472C23—432no—
1473C23—432no—
1474C23—868no—
1475C23—868no—
1476C23—868no—
1477C23—868no—
1478C23—868no—
1479C23—868no—
1480C23—861no—
1481C23—861no—
1482C23—861no—
1483C23—861no—
1484C23—861no—
1485C23—861no—
1486C23—861no—
1487C23—861no—
1488C23—861no—
1489C23—861no—
1490C23—861no—
1491C23—1724no—
1492C23—1724no—
1493C23—1724no—
1494C23—1724no—
1495C23—1724no—
1496C23—1724no—
1497C23—1724no—
1498C23C2×D4×D4312yes—
1499C23#41×D4312yes—
1500C23#41×D4312yes—
1501C23C24×D4311yescharacteristic
1502Q8—44no—
1503Q8—1724no—
1504Q8—1724no—
1505Q8—1724no—
1506D4—44no—
1507D4—1724no—
1508D4—1724no—
1509D4—1724no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—432no—
1549C2×C4—432no—
1550C2×C4—432no—
1551C2×C4—432no—
1552C2×C4—868no—
1553C2×C4—868no—
1554C2×C4—868no—
1555C2×C4—868no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—1724no—
1592C2×C4—1724no—
1593C2×C4—1724no—
1594C2×C4—1724no—
1595C2×C4—1724no—
1596C2×C4—1724no—
1597C2×C4—1724no—
1598C2×C4—1724no—
1599C2×C4—1724no—
1600C2×C4—1724no—
1601C2×C4—1724no—
1602C2×C4—1724no—
1603C2×C4—1724no—
1604C2×C4—1724no—
1605C2×C4—1724no—
1606C2×C4—1724no—
1607C2×C4—1724no—
1608C2×C4—1724no—
1609C2×C4C2×D4×D4312yes—
1610C2×C4C2×D4×D4312yes—
1611C2×C4#41×D4312yes—
1612C2×C4#41×D4312yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—434no—
1627C22—434no—
1628C22—434no—
1629C22—434no—
1630C22—434no—
1631C22—434no—
1632C22—434no—
1633C22—434no—
1634C22—8632no—
1635C22—862no—
1636C22—862no—
1637C22—862no—
1638C22—862no—
1639C22—862no—
1640C22—862no—
1641C22—3448no—
1642C22—1721no—
1643C22—1721no—
1644C22—1721no—
1645C22—1721no—
1646C22—1721no—
1647C22—1721no—
1648C22—1721no—
1649C22#124×D4314yes—
1650C22C22×D4×D4311yescharacteristic
1651C22C2×#41×D4311yescharacteristic
1652C22C2×#41×D4311yescharacteristic
1653C22C2×#41×D4311yescharacteristic
1654C22C2×#41×D4311yescharacteristic
1655C22H(5,𝔽2)×D4311yescharacteristic
1656C222−1+4×D4311yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—862no—
1671C4—862no—
1672C4—862no—
1673C4—862no—
1674C4—1721no—
1675C4—1721no—
1676C4—1721no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C2—24no—
1684C2—81no—
1685C2—438no—
1686C2—864no—
1687C2—3441no—
1688C2C2×#124×D4311yescharacteristic
1689C2#529×D4311yescharacteristic
1690C2#539×D4311yescharacteristic
1691C2#546×D4311yescharacteristic
1692C2#547×D4311yescharacteristic
1693C2#551×D4311yescharacteristic
1694C2#552×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2488C2
prime radicalC22×D4×D43C22
hypercenter#2488D43
hypocenterC43C2×#2488
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
2. C2×C22⋊Q8×D43C2semidirect
3. #19138928C2semidirect
4. #19138927C2semidirect
5. #19138926C2semidirect
6. #19138925C2semidirect
7. #19138924C2semidirect
8. #19138923C2semidirect
9. #19138922C2semidirect
10. #19138921C2semidirect
11. #19138920C2semidirect
12. #19138919C2semidirect
13. #19138918C2semidirect
14. #19138917C2semidirect
15. #19138916C2semidirect
16. #19138915C2semidirect
17. #19138914C2semidirect
18. #400×D43C2semidirect
19. #400×D43C2semidirect
20. #397×D43C2semidirect
21. #393×D43C2semidirect
22. #391×D43C2semidirect
23. #388×D43C2semidirect
24. #388×D43C2semidirect
27. #382×D43C2semidirect
28. #381×D43C2semidirect
29. C4×C22⋊C4×D43C2semidirect
30. C2×#95×D43C2semidirect
31. C43×#2488C2semidirect
45. C2×#13063305C22semidirect
46. C2×#13063304C22semidirect
47. C2×#13063303C22semidirect
48. C2×#13063303C22semidirect
49. C2×#13063302C22semidirect
50. C2×#13063302C22semidirect
51. C2×#13063301C22semidirect
69. #14582841C22semidirect
70. #14582841C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
74. #14582840C22semidirect
75. #14582840C22semidirect
76. #14582840C22semidirect
77. #14582839C22semidirect
78. #14582839C22semidirect
79. #14582838C22semidirect
80. #14582838C22semidirect
81. #14582837C22semidirect
82. #14582837C22semidirect
83. #14582828C22semidirect
84. #14582828C22semidirect
85. #14582827C22semidirect
86. #14582827C22semidirect
87. #14582826C22semidirect
88. #14582825C22semidirect
89. #14582824C22semidirect
90. #14582812C22semidirect
91. #14582812C22semidirect
92. #14582812C22semidirect
93. #14582811C22semidirect
94. #14582811C22semidirect
95. #14582811C22semidirect
96. #14582810C22semidirect
97. #14582806C22semidirect
98. #14582805C22semidirect
99. #14582804C22semidirect
100. #14582803C22semidirect
101. #14582803C22semidirect
102. #14582803C22semidirect
103. #14582803C22semidirect
104. #14582793C22semidirect
105. #14582793C22semidirect
106. #14582792C22semidirect
107. #14582792C22semidirect
108. #14582791C22semidirect
109. #14582791C22semidirect
110. #14582790C22semidirect
111. #14582790C22semidirect
112. #14582789C22semidirect
113. #14582789C22semidirect
114. #14582788C22semidirect
115. #14582788C22semidirect
116. #14582787C22semidirect
117. #14582787C22semidirect
132. #14582765C22semidirect
133. #14582764C22semidirect
134. #14582764C22semidirect
135. #14582763C22semidirect
136. #14582763C22semidirect
137. #14582763C22semidirect
138. #14582763C22semidirect
139. #14582762C22semidirect
140. #14582761C22semidirect
141. #14582761C22semidirect
142. #14582761C22semidirect
143. #14582761C22semidirect
144. #14582760C22semidirect
145. #14582760C22semidirect
146. C22⋊C4×Dic43C22semidirect
147. C22⋊C4×Dic43C22semidirect
148. C4×(C2×D43)⋊C4C22semidirect
149. C4×(C2×D43)⋊C4C22semidirect
150. C4×C22⋊Dic43C22semidirect
151. #14582746C22semidirect
152. #14582746C22semidirect
153. C2×C43⋊#95C22semidirect
154. C2×C43⋊#95C22semidirect
155. C2×C43⋊#95C22semidirect
170. #95×D43C22semidirect
171. #95×D43C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#400C22semidirect
178. C43×#397C22semidirect
179. C43×#393C22semidirect
180. C43×#391C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
185. C43×#382C22semidirect
186. C43×#381C22semidirect
187. C4×C22⋊C4×C43C22semidirect
188. C2×#95×C43C22semidirect
853. #2488D43direct (N × H)
878. D43#2488direct (N × H)
901. C2×C22⋊Q8C2×D43semidirect
932. #400C2×D43semidirect
933. #400C2×D43semidirect
941. #397C2×D43semidirect
949. #393C2×D43semidirect
957. #391C2×D43semidirect
972. #388C2×D43semidirect
973. #388C2×D43semidirect
997. #382C2×D43semidirect
1005. #381C2×D43semidirect
1013. C4×C22⋊C4C2×D43semidirect
1035. C2×#95C2×D43semidirect
1036. C43C2×#2488semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D432
C2×C22⋊Q8×D432
#191389282
#191389272
#191389262
#191389252
#191389242
#191389232
#191389222
#191389212
#191389202
#191389192
#191389182
#191389172
#191389162
#191389152
#191389142
#400×D432
#397×D432
#393×D432
#391×D432
#388×D432
#386×D432
#382×D432
#381×D432
C4×C22⋊C4×D432
C2×#95×D432
C43×#24882
C2×#248843