Finite Group Databasebeta

← D43×#2450 #25264343

Subgroups — D43×#2450 #25264343

Order 11008.

3374 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
2C2×C4×D4×D43C211yesmaximal, characteristic
3#19138426C211yesmaximal, characteristic, complemented
4#19138425C211yesmaximal, characteristic, complemented
5#19138424C211yesmaximal, characteristic, complemented
6#19138423C211yesmaximal, characteristic, complemented
7#19138422C211yesmaximal, characteristic, complemented
8#19138421C211yesmaximal, characteristic, complemented
9#19138420C211yesmaximal, characteristic, complemented
10#19138419C211yesmaximal, characteristic, complemented
11#19138418C211yesmaximal, characteristic, complemented
12#19138417C211yesmaximal, characteristic, complemented
13#19138416C211yesmaximal, characteristic, complemented
14#19138415C211yesmaximal, characteristic, complemented
15#19138414C211yesmaximal, characteristic, complemented
16#19138413C211yesmaximal, characteristic, complemented
17#19138412C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#398×D43C211yesmaximal, characteristic, complemented
20#396×D43C211yesmaximal, characteristic, complemented
21#393×D43C211yesmaximal, characteristic, complemented
22#391×D43C211yesmaximal, characteristic, complemented
23#387×D43C211yesmaximal, characteristic, complemented
24#386×D43C211yesmaximal, characteristic
25#386×D43C211yesmaximal, characteristic
26#385×D43C211yesmaximal, characteristic, complemented
27#385×D43C211yesmaximal, characteristic, complemented
28#385×D43C211yesmaximal, characteristic, complemented
29#380×D43C211yesmaximal, characteristic, complemented
30C2×#95×D43C211yesmaximal, characteristic, complemented
31C43×#2450C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C23×C4×D43C2211yescharacteristic
37C23×C4×D43C2211yescharacteristic
38C2×#13063305C2211yescharacteristic, complemented
39C2×#13063304C2211yescharacteristic, complemented
40C2×#13063303C2211yescharacteristic, complemented
41C2×#13063303C2211yescharacteristic, complemented
42C2×#13063302C2211yescharacteristic, complemented
43C2×#13063302C2211yescharacteristic, complemented
44C2×#13063301C2211yescharacteristic, complemented
45C22⋊Q8×D43—28no—
46C2×C4×D172C2211yescharacteristic
47C2×D4×Dic43C2211yescharacteristic
48C2×#13063287C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×C4×C22⋊D43C2211yescharacteristic
51C2×(C22⋊D43)⋊C4C2211yescharacteristic
52C2×(C22⋊D43)⋊C4C2211yescharacteristic
53C4×D4×D43—28no—
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C4⋊C4×D43C2211yescharacteristic
60C2×C4⋊C4×D43C2211yescharacteristic
61C2×C4⋊C4×D43C2211yescharacteristic
62C2×C22⋊C4×D43C2211yescharacteristic
63C2×C22⋊C4×D43C2211yescharacteristic
64C2×C22⋊C4×D43C2211yescharacteristic
65C2×C22⋊C4×D43C2211yescharacteristic
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582840C2211yescharacteristic, complemented
74#14582840C2211yescharacteristic, complemented
75#14582839C2211yescharacteristic, complemented
76#14582838C2211yescharacteristic, complemented
77#14582837C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582832C2211yescharacteristic, complemented
82#14582831C2211yescharacteristic, complemented
83#14582830C2211yescharacteristic, complemented
84#14582829C2211yescharacteristic, complemented
85#14582823C2211yescharacteristic, complemented
86#14582822C2211yescharacteristic, complemented
87#14582822C2211yescharacteristic, complemented
88#14582822C2211yescharacteristic, complemented
89#14582821C2211yescharacteristic, complemented
90#14582821C2211yescharacteristic, complemented
91#14582821C2211yescharacteristic, complemented
92#14582812C2211yescharacteristic, complemented
93#14582812C2211yescharacteristic, complemented
94#14582812C2211yescharacteristic, complemented
95#14582811C2211yescharacteristic, complemented
96#14582811C2211yescharacteristic, complemented
97#14582811C2211yescharacteristic, complemented
98#14582810C2211yescharacteristic, complemented
99#14582806C2211yescharacteristic, complemented
100#14582805C2211yescharacteristic, complemented
101#14582804C2211yescharacteristic, complemented
102#14582803C2211yescharacteristic, complemented
103#14582803C2211yescharacteristic, complemented
104#14582803C2211yescharacteristic, complemented
105#14582803C2211yescharacteristic, complemented
106#14582786C2211yescharacteristic, complemented
107#14582785C2211yescharacteristic, complemented
108#14582784C2211yescharacteristic, complemented
109#14582783C2211yescharacteristic, complemented
110#14582782C2211yescharacteristic, complemented
111#14582781C2211yescharacteristic, complemented
112#14582780C2211yescharacteristic, complemented
113#14582779C2211yescharacteristic
114#14582779C2211yescharacteristic
115#14582778C2211yescharacteristic
116#14582778C2211yescharacteristic
117#14582777C2211yescharacteristic
118#14582777C2211yescharacteristic
119#14582777C2211yescharacteristic
120#14582777C2211yescharacteristic
121#14582776C2211yescharacteristic
122#14582776C2211yescharacteristic
123#14582775C2211yescharacteristic
124#14582775C2211yescharacteristic
125#14582775C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582774C2211yescharacteristic, complemented
128#14582774C2211yescharacteristic, complemented
129#14582774C2211yescharacteristic, complemented
130#14582773C2211yescharacteristic, complemented
131#14582773C2211yescharacteristic, complemented
132#14582773C2211yescharacteristic, complemented
133#14582773C2211yescharacteristic, complemented
134#14582773C2211yescharacteristic, complemented
135#14582773C2211yescharacteristic, complemented
136#14582772C2211yescharacteristic, complemented
137#14582772C2211yescharacteristic, complemented
138#14582772C2211yescharacteristic, complemented
139#14582771C2211yescharacteristic, complemented
140#14582771C2211yescharacteristic, complemented
141#14582771C2211yescharacteristic, complemented
142#14582770C2211yescharacteristic, complemented
143#14582770C2211yescharacteristic, complemented
144#14582770C2211yescharacteristic, complemented
145#14582770C2211yescharacteristic, complemented
146#14582770C2211yescharacteristic, complemented
147#14582770C2211yescharacteristic, complemented
148#14582759C2211yescharacteristic, complemented
149#14582758C2211yescharacteristic, complemented
150#14582758C2211yescharacteristic, complemented
151#14582757C2211yescharacteristic, complemented
152#14582757C2211yescharacteristic, complemented
153#14582756C2211yescharacteristic, complemented
154#14582756C2211yescharacteristic, complemented
155C2×C43⋊#95C2211yescharacteristic, complemented
156C2×C43⋊#95C2211yescharacteristic, complemented
157C2×C43⋊#95C2211yescharacteristic, complemented
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×C22⋊Q8×C43C2211yescharacteristic, complemented
175C2×C4×D4×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#393C2211yescharacteristic, complemented
180C43×#391C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic, complemented
185C43×#385C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, 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×D43Q818yescomplemented
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
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—24no—
214C22×C4×D43—42no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43—42no—
218C22×C4×D43—42no—
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
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236C22×C4×D43C2311yescharacteristic
237C22×C4×D43C2311yescharacteristic
238C22×C4×D43C2311yescharacteristic
239C22×C4×D43C2311yescharacteristic
240#13063305—24no—
241#13063304—24no—
242#13063303—24no—
243#13063303—24no—
244#13063302—24no—
245#13063302—24no—
246#13063301—24no—
247C4×D172—24no—
248D4×Dic43—24no—
249#13063287—24no—
250C4×C22⋊D43—24no—
251C4×C22⋊D43—24no—
252(C22⋊D43)⋊C4—24no—
253(C22⋊D43)⋊C4—24no—
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C4⋊C4×D43—24no—
279C4⋊C4×D43—24no—
280C4⋊C4×D43—24no—
281C4⋊C4×D43—24no—
282C4⋊C4×D43—24no—
283C4⋊C4×D43—42no—
284C4⋊C4×D43—42no—
285C4⋊C4×D43—42no—
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
293C2×C22⋊Dic43C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C22⋊C4×D43—24no—
311C22⋊C4×D43—24no—
312C22⋊C4×D43—24no—
313C22⋊C4×D43—24no—
314C22⋊C4×D43—42no—
315C22⋊C4×D43—42no—
316C22⋊C4×D43—42no—
317C22⋊C4×D43D418yes—
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C42×D43—24no—
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
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C22×Q8×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C23×C4×C43C2311yescharacteristic
361C23×C4×C43C2311yescharacteristic
362C23×C4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C22⋊Q8×C43—24no—
365C4×D4×C43—24no—
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C42×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
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395C24×C43C2411yescharacteristic
396C24×C43C2411yescharacteristic
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—22no—
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—22no—
407C23×D43C2×D414yes—
408C23×D43C2×Q814yes—
409C23×D43C2×Q814yes—
410C23×D43#4114yes—
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C23×D43C2411yescharacteristic
414C2×Q8×C43—22no—
415C2×Q8×C43—22no—
416C2×Q8×C43—41no—
417C2×D4×C43—22no—
418C2×D4×C43—22no—
419C2×D4×C43C2×Q814yescomplemented
420C22×C4×C43—22no—
421C22×C4×C43—22no—
422C22×C4×C43—22no—
423C22×C4×C43—22no—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—41no—
428C22×C4×C43—41no—
429C22×C4×C43—41no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43C2×Q814yescomplemented
450C2×C22⋊D43C2×Q814yescomplemented
451C22×Dic43—22no—
452C22×Dic43—22no—
453C22×Dic43—22no—
454C22×Dic43—22no—
455C22×Dic43—22no—
456C22×Dic43—22no—
457C22×Dic43—22no—
458C22×Dic43—41no—
459C22×Dic43—41no—
460C22×Dic43—41no—
461C22×Dic43—41no—
462C22×Dic43—41no—
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476Q8×D43—416no—
477D4×D43—232no—
478C2×D172—22no—
479C2×D172—22no—
480C2×D172C2×Q814yescomplemented
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—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—416no—
530C2×C4×D43—416no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—416no—
542C2×C4×D43—416no—
543C2×C4×D43C2×D414yes—
544C2×C4×D43C2×D414yes—
545C2×C4×D43C2×Q814yes—
546C2×C4×D43#4114yes—
547C2×C4×D43#4114yes—
548C2×Dic86—22no—
549C2×Dic86—22no—
550C2×Dic86—22no—
551C2×Dic86—22no—
552C2×Dic86—22no—
553C2×Dic86—22no—
554C2×Dic86—41no—
555C2×Dic86—41no—
556C2×Dic86—41no—
557C4⋊C4×C43—22no—
558C4⋊C4×C43—22no—
559C4⋊C4×C43—22no—
560C4⋊C4×C43—22no—
561C4⋊C4×C43—22no—
562C4⋊C4×C43—41no—
563C4⋊C4×C43—41no—
564C4⋊C4×C43—41no—
565C22⋊C4×C43—22no—
566C22⋊C4×C43—22no—
567C22⋊C4×C43—22no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—41no—
570C22⋊C4×C43—41no—
571C22⋊C4×C43—41no—
572C22⋊C4×C43C2×D414yes—
573C42×C43—22no—
574C22⋊Dic43—22no—
575C22⋊Dic43—22no—
576C22⋊Dic43—22no—
577C22⋊Dic43—22no—
578C22⋊Dic43—41no—
579C22⋊Dic43—41no—
580C22⋊Dic43—41no—
581C22⋊Dic43C2×D414yes—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4C2×D414yes—
597(C2×D43)⋊C4C2×D414yes—
598C4⋊Dic43—22no—
599C4⋊Dic43—22no—
600C4⋊Dic43—22no—
601C4⋊Dic43—22no—
602C4⋊Dic43—22no—
603C4⋊Dic43—41no—
604C4⋊Dic43—41no—
605C4⋊Dic43—41no—
606Dic43⋊C4—22no—
607Dic43⋊C4—22no—
608Dic43⋊C4—22no—
609Dic43⋊C4—22no—
610Dic43⋊C4—22no—
611Dic43⋊C4—22no—
612Dic43⋊C4—22no—
613Dic43⋊C4—22no—
614Dic43⋊C4—22no—
615Dic43⋊C4—22no—
616Dic43⋊C4—41no—
617Dic43⋊C4—41no—
618Dic43⋊C4—41no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4—41no—
622C4×Dic43—22no—
623C4×Dic43—22no—
624C4×Dic43—22no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43C22×D412yes—
636C23×C43C22×Q812yes—
637C23×C43C22×Q812yes—
638C23×C43C2×#4112yes—
639C23×C43C2511yescharacteristic
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—28no—
645C22×D43—28no—
646C22×D43—28no—
647C22×D43—28no—
648C22×D43—28no—
649C22×D43—28no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—28no—
657C22×D43—28no—
658C22×D43—28no—
659C22×D43—44no—
660C22×D43—44no—
661C22×D43—44no—
662C22×D43—44no—
663C22×D43C22⋊Q8116yes—
664C22×D43C22×D412yes—
665C22×D43C22×D412yes—
666C22×D43C22×Q812yes—
667C22×D43C22×Q812yes—
668C22×D43C22×Q812yes—
669C22×D43C2×#4112yes—
670C22×D43C2×#4112yes—
671C22×D43C2×#4112yes—
672C22×D43C2×#4112yes—
673C22×D43H(5,𝔽2)12yes—
674C22×D43H(5,𝔽2)12yes—
675Q8×C43—44no—
676D4×C43—28no—
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—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—44no—
714C2×C4×C43—44no—
715C2×C4×C43C22×D412yes—
716C2×C4×C43C22×D412yes—
717C2×C4×C43C22×Q812yes—
718C2×C4×C43C2×#4112yes—
719C2×C4×C43C2×#4112yes—
720C22⋊D43—28no—
721C22⋊D43—28no—
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—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—44no—
757C2×Dic43—44no—
758C2×Dic43—44no—
759C2×Dic43—44no—
760C2×Dic43C22×D412yes—
761C2×Dic43C22×D412yes—
762C2×Dic43C22×Q812yes—
763C2×Dic43C2×#4112yes—
764C2×Dic43C2×#4112yes—
765D172—28no—
766C4×D43—28no—
767C4×D43—28no—
768C4×D43—28no—
769C4×D43—28no—
770C4×D43—28no—
771C4×D43—44no—
772C4×D43—44no—
773C4×D43—44no—
774C4×D43—44no—
775C4×D43—44no—
776C4×D43—44no—
777C4×D43—44no—
778C4×D43—44no—
779C4×D43—44no—
780C4×D43—44no—
781C4×D43—44no—
782C4×D43—44no—
783C4×D43—44no—
784C4×D43—44no—
785C4×D43—44no—
786C4×D43—44no—
787Dic86—44no—
788Dic86—44no—
789Dic86—44no—
790C2×#2450—431nomaximal, Sylow
791C22×C43—22no—
792C22×C43—22no—
793C22×C43—22no—
794C22×C43—22no—
795C22×C43—22no—
796C22×C43—22no—
797C22×C43—22no—
798C22×C43—22no—
799C22×C43—22no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43C2×C22⋊Q814yes—
805C22×C43C23×D411yescharacteristic
806C22×C43C23×Q811yescharacteristic
807C22×C43C22×#4111yescharacteristic
808C22×C43C22×#4111yescharacteristic
809C22×C43C22×#4111yescharacteristic
810C22×C43C2×H(5,𝔽2)11yescharacteristic
811C22×C43C2×H(5,𝔽2)11yescharacteristic
812C2×D43—22no—
813C2×D43—22no—
814C2×D43—22no—
815C2×D43—22no—
816C2×D43—22no—
817C2×D43—22no—
818C2×D43—232no—
819C2×D43—22no—
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—416no—
827C2×D43C2×C22⋊Q814yes—
828C2×D43C2×C22⋊Q814yes—
829C2×D43#52914yes—
830C2×D43#53814yes—
831C2×D43#54614yes—
832C2×D43#54614yes—
833C2×D43#55414yes—
834C2×D43#55414yes—
835C4×C43—22no—
836C4×C43—22no—
837C4×C43—22no—
838C4×C43—22no—
839C4×C43—22no—
840C4×C43—41no—
841C4×C43—41no—
842C4×C43—41no—
843C4×C43—41no—
844C4×C43—41no—
845C4×C43—41no—
846C4×C43—41no—
847C4×C43—41no—
848Dic43—22no—
849Dic43—22no—
850Dic43—22no—
851Dic43—22no—
852Dic43—22no—
853Dic43—41no—
854Dic43—41no—
855Dic43—41no—
856Dic43—41no—
857Dic43—41no—
858Dic43—41no—
859Dic43—41no—
860Dic43—41no—
861C22×C22⋊Q8—431no—
862C22×C4×D4—431no—
863#2450—431no—
864#2450—431no—
865#2450—431no—
866#2450—431no—
867#2450—431no—
868#2450—431no—
869#2450—431no—
870#2450—431no—
871#2450—431no—
872#2450—431no—
873#2450—431no—
874#2450—431no—
875#2450—431no—
876#2450—431no—
877#2450—431no—
878#2450D4311yescharacteristic, direct product factor
879C2×#400—431no—
880C2×#398—431no—
881C2×#396—431no—
882C2×#393—431no—
883C2×#391—431no—
884C2×#387—431no—
885C2×#386—431no—
886C2×#386—431no—
887C2×#385—431no—
888C2×#385—431no—
889C2×#385—431no—
890C2×#380—431no—
891C22×#95—431no—
892C2×C43—24no—
893C2×C43—42no—
894C2×C43C22×C22⋊Q811yescharacteristic
895C2×C43C2×#52911yescharacteristic
896C2×C43C2×#53811yescharacteristic
897C2×C43C2×#54611yescharacteristic
898C2×C43C2×#54611yescharacteristic
899C2×C43C2×#55411yescharacteristic
900C2×C43C2×#55411yescharacteristic
901D43—24no—
902D43—42no—
903D43#245018yesdirect product factor
904C23×Q8—431no—
905C23×D4—431no—
906C24×C4—431no—
907C24×C4—431no—
908C24×C4—431no—
909C24×C4—431no—
910C2×C22⋊Q8—431no—
911C2×C22⋊Q8—431no—
912C2×C22⋊Q8—431no—
913C2×C22⋊Q8—431no—
914C2×C22⋊Q8—431no—
915C2×C22⋊Q8—431no—
916C2×C22⋊Q8—431no—
917C2×C22⋊Q8—868no—
918C2×C22⋊Q8C2×D4311yescharacteristic, complemented
919C2×C4×D4—431no—
920C2×C4×D4—431no—
921C2×C4×D4—431no—
922C2×C4×D4—431no—
923C2×C4×D4—431no—
924C2×C4×D4—431no—
925C2×C4×D4—431no—
926C2×C4×D4—868no—
927C2×C4×D4C2×D4311yescharacteristic
928C22×C4⋊C4—431no—
929C22×C4⋊C4—431no—
930C22×C4⋊C4—431no—
931C22×C4⋊C4—431no—
932C22×C4⋊C4—431no—
933C22×C4⋊C4—431no—
934C22×C4⋊C4—431no—
935C22×C4⋊C4—431no—
936C22×C22⋊C4—431no—
937C22×C22⋊C4—431no—
938C22×C22⋊C4—431no—
939C22×C22⋊C4—431no—
940C22×C22⋊C4—431no—
941C22×C22⋊C4—431no—
942C22×C22⋊C4—431no—
943C22×C22⋊C4—431no—
944C22×C42—431no—
945#400—431no—
946#400—431no—
947#400—431no—
948#400—431no—
949#400—431no—
950#400—431no—
951#400—431no—
952#400C2×D4311yescharacteristic, complemented
953#398—431no—
954#398—431no—
955#398—431no—
956#398—431no—
957#398—431no—
958#398—431no—
959#398—431no—
960#398C2×D4311yescharacteristic, complemented
961#396—431no—
962#396—431no—
963#396—431no—
964#396—431no—
965#396—431no—
966#396—431no—
967#396—431no—
968#396C2×D4311yescharacteristic, complemented
969#393—431no—
970#393—431no—
971#393—431no—
972#393—431no—
973#393—431no—
974#393—431no—
975#393—431no—
976#393C2×D4311yescharacteristic, complemented
977#391—431no—
978#391—431no—
979#391—431no—
980#391—431no—
981#391—431no—
982#391—431no—
983#391—431no—
984#391C2×D4311yescharacteristic, complemented
985#387—431no—
986#387—431no—
987#387—431no—
988#387—431no—
989#387—431no—
990#387—431no—
991#387—431no—
992#387C2×D4311yescharacteristic, complemented
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#386—431no—
999#386—431no—
1000#386—431no—
1001#386—431no—
1002#386—431no—
1003#386—431no—
1004#386—431no—
1005#386—431no—
1006#386—431no—
1007#386C2×D4311yescharacteristic
1008#386C2×D4311yescharacteristic
1009#385—431no—
1010#385—431no—
1011#385—431no—
1012#385—431no—
1013#385—431no—
1014#385—431no—
1015#385—431no—
1016#385—431no—
1017#385—431no—
1018#385—431no—
1019#385—431no—
1020#385—431no—
1021#385—431no—
1022#385—431no—
1023#385—431no—
1024#385—431no—
1025#385—431no—
1026#385—431no—
1027#385—431no—
1028#385—431no—
1029#385—431no—
1030#385C2×D4311yescharacteristic, complemented
1031#385C2×D4311yescharacteristic, complemented
1032#385C2×D4311yescharacteristic, complemented
1033#380—431no—
1034#380—431no—
1035#380—431no—
1036#380—431no—
1037#380—431no—
1038#380—431no—
1039#380—431no—
1040#380C2×D4311yescharacteristic, complemented
1041C2×#95—431no—
1042C2×#95—431no—
1043C2×#95—431no—
1044C2×#95—431no—
1045C2×#95—431no—
1046C2×#95—431no—
1047C2×#95—431no—
1048C2×#95—431no—
1049C2×#95—431no—
1050C2×#95—431no—
1051C2×#95—431no—
1052C2×#95—431no—
1053C2×#95—431no—
1054C2×#95—431no—
1055C2×#95—431no—
1056C2×#95—431no—
1057C2×#95—431no—
1058C2×#95—431no—
1059C2×#95—431no—
1060C2×#95C2×D4311yescharacteristic, complemented
1061C43C2×#245011yescharacteristic, complemented, Sylow
1062C25—431no—
1063C25—431no—
1064C22×Q8—431no—
1065C22×Q8—431no—
1066C22×Q8—431no—
1067C22×Q8—864no—
1068C22×Q8—864no—
1069C22×Q8—1722no—
1070C22×Q8C22×D4311yescharacteristic
1071C22×D4—431no—
1072C22×D4—431no—
1073C22×D4—438no—
1074C22×D4—431no—
1075C22×D4—864no—
1076C22×D4—864no—
1077C22×D4C22×D4311yescharacteristic
1078C23×C4—431no—
1079C23×C4—431no—
1080C23×C4—431no—
1081C23×C4—431no—
1082C23×C4—431no—
1083C23×C4—431no—
1084C23×C4—431no—
1085C23×C4—431no—
1086C23×C4—431no—
1087C23×C4—431no—
1088C23×C4—431no—
1089C23×C4—431no—
1090C23×C4—431no—
1091C23×C4—431no—
1092C23×C4—431no—
1093C23×C4—431no—
1094C23×C4—431no—
1095C23×C4—431no—
1096C23×C4—431no—
1097C23×C4—431no—
1098C23×C4—431no—
1099C23×C4—431no—
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4—431no—
1103C23×C4—864no—
1104C23×C4—864no—
1105C23×C4—864no—
1106C23×C4—864no—
1107C23×C4—864no—
1108C23×C4—864no—
1109C23×C4—864no—
1110C23×C4—1722no—
1111C23×C4—1722no—
1112C23×C4—1722no—
1113C23×C4—1722no—
1114C23×C4—1722no—
1115C23×C4C22×D4311yescharacteristic
1116C23×C4C22×D4311yescharacteristic
1117C23×C4C22×D4311yescharacteristic
1118C23×C4C22×D4311yescharacteristic
1119C22⋊Q8—24no—
1120C22⋊Q8—864no—
1121C22⋊Q8—864no—
1122C22⋊Q8—864no—
1123C22⋊Q8—864no—
1124C22⋊Q8—864no—
1125C22⋊Q8—864no—
1126C22⋊Q8—864no—
1127C4×D4—24no—
1128C4×D4—864no—
1129C4×D4—864no—
1130C4×D4—864no—
1131C4×D4—864no—
1132C4×D4—864no—
1133C4×D4—864no—
1134C4×D4—864no—
1135C2×C4⋊C4—431no—
1136C2×C4⋊C4—431no—
1137C2×C4⋊C4—431no—
1138C2×C4⋊C4—431no—
1139C2×C4⋊C4—431no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—431no—
1144C2×C4⋊C4—431no—
1145C2×C4⋊C4—431no—
1146C2×C4⋊C4—431no—
1147C2×C4⋊C4—431no—
1148C2×C4⋊C4—431no—
1149C2×C4⋊C4—431no—
1150C2×C4⋊C4—431no—
1151C2×C4⋊C4—431no—
1152C2×C4⋊C4—431no—
1153C2×C4⋊C4—431no—
1154C2×C4⋊C4—431no—
1155C2×C4⋊C4—431no—
1156C2×C4⋊C4—431no—
1157C2×C4⋊C4—431no—
1158C2×C4⋊C4—431no—
1159C2×C4⋊C4—864no—
1160C2×C4⋊C4—864no—
1161C2×C4⋊C4—864no—
1162C2×C4⋊C4—864no—
1163C2×C4⋊C4—864no—
1164C2×C4⋊C4—1722no—
1165C2×C4⋊C4—1722no—
1166C2×C4⋊C4—1722no—
1167C2×C4⋊C4C22×D4311yescharacteristic
1168C2×C4⋊C4C22×D4311yescharacteristic
1169C2×C4⋊C4C22×D4311yescharacteristic
1170C2×C4⋊C4C22×D4311yescharacteristic
1171C2×C4⋊C4C22×D4311yescharacteristic
1172C2×C4⋊C4C22×D4311yescharacteristic
1173C2×C4⋊C4C22×D4311yescharacteristic
1174C2×C4⋊C4C22×D4311yescharacteristic
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—438no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—864no—
1201C2×C22⋊C4—864no—
1202C2×C22⋊C4—864no—
1203C2×C22⋊C4—864no—
1204C2×C22⋊C4—1722no—
1205C2×C22⋊C4—1722no—
1206C2×C22⋊C4—1722no—
1207C2×C22⋊C4C22×D4311yescharacteristic
1208C2×C22⋊C4C22×D4311yescharacteristic
1209C2×C22⋊C4C22×D4311yescharacteristic
1210C2×C22⋊C4C22×D4311yescharacteristic
1211C2×C22⋊C4C22×D4311yescharacteristic
1212C2×C22⋊C4C22×D4311yescharacteristic
1213C2×C22⋊C4C22×D4311yescharacteristic
1214C2×C22⋊C4C22×D4311yescharacteristic
1215C2×C42—431no—
1216C2×C42—431no—
1217C2×C42—431no—
1218C2×C42—864no—
1219C2×C42C22×D4311yescharacteristic
1220#95—431no—
1221#95—431no—
1222#95—431no—
1223#95—431no—
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95—431no—
1245#95—431no—
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253#95—431no—
1254#95—431no—
1255#95—431no—
1256#95C22×D4311yescharacteristic
1257#95C22×D4311yescharacteristic
1258#95C22×D4311yescharacteristic
1259#95C22×D4311yescharacteristic
1260#95C22×D4311yescharacteristic
1261#95C22×D4311yescharacteristic
1262#95C22×D4311yescharacteristic
1263#95C22×D4311yescharacteristic
1264#95C22×D4311yescharacteristic
1265#95C22×D4311yescharacteristic
1266#95C22×D4311yescharacteristic
1267#95C22×D4311yescharacteristic
1268C24—431no—
1269C24—434no—
1270C24—434no—
1271C24—434no—
1272C24—431no—
1273C24—434no—
1274C24—431no—
1275C24—862no—
1276C24—862no—
1277C24—862no—
1278C24—862no—
1279C24—862no—
1280C24—862no—
1281C24—862no—
1282C24—862no—
1283C24—862no—
1284C24—862no—
1285C24C23×D4311yescharacteristic
1286C24C23×D4311yescharacteristic
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—41no—
1290C2×Q8—862no—
1291C2×Q8—862no—
1292C2×Q8—862no—
1293C2×Q8—862no—
1294C2×Q8—862no—
1295C2×Q8—862no—
1296C2×Q8—1721no—
1297C2×Q8—1721no—
1298C2×Q8—1721no—
1299C2×Q8—17216no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—434no—
1303C2×D4—434no—
1304C2×D4—434no—
1305C2×D4—862no—
1306C2×D4—862no—
1307C2×D4—8632no—
1308C2×D4—862no—
1309C2×D4—862no—
1310C2×D4—862no—
1311C2×D4—862no—
1312C2×D4Q8×D4314yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4—434no—
1331C22×C4—434no—
1332C22×C4—434no—
1333C22×C4—434no—
1334C22×C4—434no—
1335C22×C4—431no—
1336C22×C4—431no—
1337C22×C4—431no—
1338C22×C4—431no—
1339C22×C4—431no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
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—862no—
1367C22×C4—862no—
1368C22×C4—862no—
1369C22×C4—862no—
1370C22×C4—862no—
1371C22×C4—862no—
1372C22×C4—862no—
1373C22×C4—862no—
1374C22×C4—862no—
1375C22×C4—862no—
1376C22×C4—862no—
1377C22×C4—862no—
1378C22×C4—862no—
1379C22×C4—862no—
1380C22×C4—862no—
1381C22×C4—862no—
1382C22×C4—862no—
1383C22×C4—862no—
1384C22×C4—862no—
1385C22×C4—862no—
1386C22×C4—862no—
1387C22×C4—862no—
1388C22×C4—862no—
1389C22×C4—862no—
1390C22×C4—862no—
1391C22×C4—862no—
1392C22×C4—862no—
1393C22×C4—862no—
1394C22×C4—862no—
1395C22×C4—862no—
1396C22×C4—862no—
1397C22×C4—862no—
1398C22×C4—1721no—
1399C22×C4—1721no—
1400C22×C4—1721no—
1401C22×C4—1721no—
1402C22×C4—1721no—
1403C22×C4—1721no—
1404C22×C4—1721no—
1405C22×C4—1721no—
1406C22×C4—1721no—
1407C22×C4—1721no—
1408C22×C4—17216no—
1409C22×C4—17216no—
1410C22×C4—17216no—
1411C22×C4—17216no—
1412C22×C4—1721no—
1413C22×C4—1721no—
1414C22×C4—1721no—
1415C22×C4—1721no—
1416C22×C4—1721no—
1417C22×C4C23×D4311yescharacteristic
1418C22×C4C23×D4311yescharacteristic
1419C22×C4C23×D4311yescharacteristic
1420C22×C4C23×D4311yescharacteristic
1421C22×C4C23×D4311yescharacteristic
1422C22×C4C23×D4311yescharacteristic
1423C22×C4C23×D4311yescharacteristic
1424C22×C4C23×D4311yescharacteristic
1425C22×C4C23×D4311yescharacteristic
1426C22×C4C23×D4311yescharacteristic
1427C22×C4C23×D4311yescharacteristic
1428C22×C4C23×D4311yescharacteristic
1429C22×C4C23×D4311yescharacteristic
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—862no—
1439C4⋊C4—862no—
1440C4⋊C4—862no—
1441C4⋊C4—862no—
1442C4⋊C4—862no—
1443C4⋊C4—862no—
1444C4⋊C4—862no—
1445C4⋊C4—862no—
1446C4⋊C4—862no—
1447C4⋊C4—862no—
1448C4⋊C4—862no—
1449C4⋊C4—862no—
1450C4⋊C4—862no—
1451C4⋊C4—862no—
1452C4⋊C4—862no—
1453C4⋊C4—1721no—
1454C4⋊C4—1721no—
1455C4⋊C4—1721no—
1456C4⋊C4—1721no—
1457C4⋊C4—1721no—
1458C4⋊C4—1721no—
1459C4⋊C4—1721no—
1460C4⋊C4—1721no—
1461C4⋊C4—1721no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—434no—
1470C22⋊C4—434no—
1471C22⋊C4—434no—
1472C22⋊C4—862no—
1473C22⋊C4—862no—
1474C22⋊C4—862no—
1475C22⋊C4—862no—
1476C22⋊C4—862no—
1477C22⋊C4—862no—
1478C22⋊C4—862no—
1479C22⋊C4—862no—
1480C22⋊C4—862no—
1481C22⋊C4—862no—
1482C22⋊C4—862no—
1483C22⋊C4—862no—
1484C22⋊C4—1721no—
1485C22⋊C4—1721no—
1486C22⋊C4—1721no—
1487C22⋊C4—1721no—
1488C22⋊C4—1721no—
1489C22⋊C4—1721no—
1490C22⋊C4—1721no—
1491C22⋊C4—1721no—
1492C22⋊C4—1721no—
1493C22⋊C4D4×D4314yes—
1494C42—22no—
1495C42—862no—
1496C42—862no—
1497C42—862no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—432no—
1509C23—432no—
1510C23—432no—
1511C23—432no—
1512C23—432no—
1513C23—432no—
1514C23—432no—
1515C23—4316no—
1516C23—432no—
1517C23—432no—
1518C23—432no—
1519C23—432no—
1520C23—868no—
1521C23—868no—
1522C23—868no—
1523C23—868no—
1524C23—868no—
1525C23—868no—
1526C23—868no—
1527C23—868no—
1528C23—868no—
1529C23—861no—
1530C23—861no—
1531C23—861no—
1532C23—861no—
1533C23—861no—
1534C23—861no—
1535C23—861no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—1724no—
1540C23—1724no—
1541C23—1724no—
1542C23—1724no—
1543C23C2×D4×D4312yes—
1544C23C2×Q8×D4312yes—
1545C23C2×Q8×D4312yes—
1546C23#41×D4312yes—
1547C23C24×D4311yescharacteristic
1548Q8—44no—
1549Q8—1724no—
1550Q8—1724no—
1551Q8—1724no—
1552D4—28no—
1553D4—868no—
1554D4—868no—
1555D4—868no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—432no—
1595C2×C4—432no—
1596C2×C4—432no—
1597C2×C4—432no—
1598C2×C4—432no—
1599C2×C4—868no—
1600C2×C4—868no—
1601C2×C4—868no—
1602C2×C4—868no—
1603C2×C4—868no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—1724no—
1639C2×C4—1724no—
1640C2×C4—1724no—
1641C2×C4—1724no—
1642C2×C4—1724no—
1643C2×C4—1724no—
1644C2×C4—1724no—
1645C2×C4—1724no—
1646C2×C4—1724no—
1647C2×C4—1724no—
1648C2×C4—1724no—
1649C2×C4—1724no—
1650C2×C4—1724no—
1651C2×C4—1724no—
1652C2×C4—1724no—
1653C2×C4—1724no—
1654C2×C4—1724no—
1655C2×C4—1724no—
1656C2×C4—1724no—
1657C2×C4—1724no—
1658C2×C4C2×D4×D4312yes—
1659C2×C4C2×D4×D4312yes—
1660C2×C4C2×Q8×D4312yes—
1661C2×C4#41×D4312yes—
1662C2×C4#41×D4312yes—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—434no—
1677C22—434no—
1678C22—434no—
1679C22—434no—
1680C22—434no—
1681C22—434no—
1682C22—434no—
1683C22—434no—
1684C22—8632no—
1685C22—862no—
1686C22—862no—
1687C22—862no—
1688C22—862no—
1689C22—862no—
1690C22—862no—
1691C22—862no—
1692C22—862no—
1693C22—862no—
1694C22—17216no—
1695C22—1721no—
1696C22—1721no—
1697C22—1721no—
1698C22—1721no—
1699C22C22⋊Q8×D4314yes—
1700C22C22×D4×D4311yescharacteristic
1701C22C22×Q8×D4311yescharacteristic
1702C22C2×#41×D4311yescharacteristic
1703C22C2×#41×D4311yescharacteristic
1704C22C2×#41×D4311yescharacteristic
1705C22H(5,𝔽2)×D4311yescharacteristic
1706C22H(5,𝔽2)×D4311yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—862no—
1721C4—862no—
1722C4—862no—
1723C4—862no—
1724C4—862no—
1725C4—1721no—
1726C4—1721no—
1727C4—1721no—
1728C4—1721no—
1729C4—1721no—
1730C4—1721no—
1731C4—1721no—
1732C4—1721no—
1733C2—24no—
1734C2—42no—
1735C2—438no—
1736C2—864no—
1737C2—1722no—
1738C2C2×C22⋊Q8×D4311yescharacteristic
1739C2#529×D4311yescharacteristic
1740C2#538×D4311yescharacteristic
1741C2#546×D4311yescharacteristic
1742C2#546×D4311yescharacteristic
1743C2#554×D4311yescharacteristic
1744C2#554×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2450C2
prime radicalC22×D4×D43C22
hypercenter#2450D43
hypocenterC43C2×#2450
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×C22⋊Q8×D43C2semidirect
3. #19138426C2semidirect
4. #19138425C2semidirect
5. #19138424C2semidirect
6. #19138423C2semidirect
7. #19138422C2semidirect
8. #19138421C2semidirect
9. #19138420C2semidirect
10. #19138419C2semidirect
11. #19138418C2semidirect
12. #19138417C2semidirect
13. #19138416C2semidirect
14. #19138415C2semidirect
15. #19138414C2semidirect
16. #19138413C2semidirect
17. #19138412C2semidirect
18. #400×D43C2semidirect
19. #398×D43C2semidirect
20. #396×D43C2semidirect
21. #393×D43C2semidirect
22. #391×D43C2semidirect
23. #387×D43C2semidirect
26. #385×D43C2semidirect
27. #385×D43C2semidirect
28. #385×D43C2semidirect
29. #380×D43C2semidirect
30. C2×#95×D43C2semidirect
31. C43×#2450C2semidirect
38. C2×#13063305C22semidirect
39. C2×#13063304C22semidirect
40. C2×#13063303C22semidirect
41. C2×#13063303C22semidirect
42. C2×#13063302C22semidirect
43. C2×#13063302C22semidirect
44. C2×#13063301C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
74. #14582840C22semidirect
75. #14582839C22semidirect
76. #14582838C22semidirect
77. #14582837C22semidirect
78. #14582833C22semidirect
79. #14582833C22semidirect
80. #14582832C22semidirect
81. #14582832C22semidirect
82. #14582831C22semidirect
83. #14582830C22semidirect
84. #14582829C22semidirect
85. #14582823C22semidirect
86. #14582822C22semidirect
87. #14582822C22semidirect
88. #14582822C22semidirect
89. #14582821C22semidirect
90. #14582821C22semidirect
91. #14582821C22semidirect
92. #14582812C22semidirect
93. #14582812C22semidirect
94. #14582812C22semidirect
95. #14582811C22semidirect
96. #14582811C22semidirect
97. #14582811C22semidirect
98. #14582810C22semidirect
99. #14582806C22semidirect
100. #14582805C22semidirect
101. #14582804C22semidirect
102. #14582803C22semidirect
103. #14582803C22semidirect
104. #14582803C22semidirect
105. #14582803C22semidirect
106. #14582786C22semidirect
107. #14582785C22semidirect
108. #14582784C22semidirect
109. #14582783C22semidirect
110. #14582782C22semidirect
111. #14582781C22semidirect
112. #14582780C22semidirect
127. #14582774C22semidirect
128. #14582774C22semidirect
129. #14582774C22semidirect
130. #14582773C22semidirect
131. #14582773C22semidirect
132. #14582773C22semidirect
133. #14582773C22semidirect
134. #14582773C22semidirect
135. #14582773C22semidirect
136. #14582772C22semidirect
137. #14582772C22semidirect
138. #14582772C22semidirect
139. #14582771C22semidirect
140. #14582771C22semidirect
141. #14582771C22semidirect
142. #14582770C22semidirect
143. #14582770C22semidirect
144. #14582770C22semidirect
145. #14582770C22semidirect
146. #14582770C22semidirect
147. #14582770C22semidirect
148. #14582759C22semidirect
149. #14582758C22semidirect
150. #14582758C22semidirect
151. #14582757C22semidirect
152. #14582757C22semidirect
153. #14582756C22semidirect
154. #14582756C22semidirect
155. C2×C43⋊#95C22semidirect
156. C2×C43⋊#95C22semidirect
157. C2×C43⋊#95C22semidirect
170. #95×D43C22semidirect
171. #95×D43C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
174. C2×C22⋊Q8×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#398C22semidirect
178. C43×#396C22semidirect
179. C43×#393C22semidirect
180. C43×#391C22semidirect
181. C43×#387C22semidirect
184. C43×#385C22semidirect
185. C43×#385C22semidirect
186. C43×#385C22semidirect
187. C43×#380C22semidirect
188. C2×#95×C43C22semidirect
202. C2×D4×D43Q8semidirect
419. C2×D4×C43C2×Q8semidirect
449. C2×C22⋊D43C2×Q8semidirect
450. C2×C22⋊D43C2×Q8semidirect
480. C2×D172C2×Q8semidirect
878. #2450D43direct (N × H)
903. D43#2450direct (N × H)
918. C2×C22⋊Q8C2×D43semidirect
952. #400C2×D43semidirect
960. #398C2×D43semidirect
968. #396C2×D43semidirect
976. #393C2×D43semidirect
984. #391C2×D43semidirect
992. #387C2×D43semidirect
1030. #385C2×D43semidirect
1031. #385C2×D43semidirect
1032. #385C2×D43semidirect
1040. #380C2×D43semidirect
1060. C2×#95C2×D43semidirect
1061. C43C2×#2450semidirect
1312. C2×D4Q8×D43semidirect

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D432
C2×C4×D4×D432
#191384262
#191384252
#191384242
#191384232
#191384222
#191384212
#191384202
#191384192
#191384182
#191384172
#191384162
#191384152
#191384142
#191384132
#191384122
#400×D432
#398×D432
#396×D432
#393×D432
#391×D432
#387×D432
#386×D432
#385×D432
#380×D432
C2×#95×D432
C43×#24502
C2×#245043