Finite Group Databasebeta

← D43×#2477 #25265025

Subgroups — D43×#2477 #25265025

Order 11008.

3070 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
2C2×#117×D43C211yesmaximal, characteristic, complemented
3#19138803C211yesmaximal, characteristic, complemented
4#19138802C211yesmaximal, characteristic, complemented
5#19138801C211yesmaximal, characteristic, complemented
6#19138800C211yesmaximal, characteristic, complemented
7#19138799C211yesmaximal, characteristic, complemented
8#19138798C211yesmaximal, characteristic, complemented
9#19138797C211yesmaximal, characteristic, complemented
10#19138796C211yesmaximal, characteristic, complemented
11#19138795C211yesmaximal, characteristic, complemented
12#19138794C211yesmaximal, characteristic, complemented
13#19138793C211yesmaximal, characteristic, complemented
14#19138792C211yesmaximal, characteristic, complemented
15#19138791C211yesmaximal, characteristic, complemented
16#19138790C211yesmaximal, characteristic, complemented
17#19138789C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#397×D43C211yesmaximal, characteristic, complemented
20#394×D43C211yesmaximal, characteristic
21#393×D43C211yesmaximal, characteristic, complemented
22#391×D43C211yesmaximal, characteristic, complemented
23#388×D43C211yesmaximal, characteristic, complemented
24#388×D43C211yesmaximal, characteristic, complemented
25#387×D43C211yesmaximal, characteristic, complemented
26#387×D43C211yesmaximal, characteristic, complemented
27#386×D43C211yesmaximal, characteristic
28#386×D43C211yesmaximal, characteristic
29#385×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2477C211yesmaximal, characteristic, complemented
32C22×Q8×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C2×#13063305C2211yescharacteristic, complemented
37C2×#13063304C2211yescharacteristic, complemented
38C2×#13063303C2211yescharacteristic, complemented
39C2×#13063303C2211yescharacteristic, complemented
40C2×#13063302C2211yescharacteristic, complemented
41C2×#13063302C2211yescharacteristic, complemented
42C2×#13063301C2211yescharacteristic, complemented
43C22⋊Q8×D43—28no—
44C2×#13063284C2211yescharacteristic, complemented
45C2×#13063283C2211yescharacteristic, complemented
46C2×#13063283C2211yescharacteristic, complemented
47C2×#13063282C2211yescharacteristic, complemented
48C2×#13063282C2211yescharacteristic, complemented
49C2×#13063281C2211yescharacteristic, complemented
50C2×#13063281C2211yescharacteristic, complemented
51#117×D43—28no—
52C2×C4⋊C4×D43C2211yescharacteristic
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×C22⋊C4×D43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69C2×C42×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#14582828C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582827C2211yescharacteristic, complemented
81#14582827C2211yescharacteristic, complemented
82#14582826C2211yescharacteristic, complemented
83#14582825C2211yescharacteristic, complemented
84#14582824C2211yescharacteristic, complemented
85#14582817C2211yescharacteristic
86#14582816C2211yescharacteristic
87#14582815C2211yescharacteristic
88#14582815C2211yescharacteristic
89#14582814C2211yescharacteristic
90#14582814C2211yescharacteristic
91#14582813C2211yescharacteristic
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#14582793C2211yescharacteristic, complemented
107#14582793C2211yescharacteristic, complemented
108#14582792C2211yescharacteristic, complemented
109#14582792C2211yescharacteristic, complemented
110#14582791C2211yescharacteristic, complemented
111#14582791C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582790C2211yescharacteristic, complemented
114#14582789C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582788C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic, complemented
118#14582787C2211yescharacteristic, complemented
119#14582787C2211yescharacteristic, complemented
120#14582786C2211yescharacteristic, complemented
121#14582786C2211yescharacteristic, complemented
122#14582785C2211yescharacteristic, complemented
123#14582785C2211yescharacteristic, complemented
124#14582784C2211yescharacteristic, complemented
125#14582784C2211yescharacteristic, complemented
126#14582783C2211yescharacteristic, complemented
127#14582783C2211yescharacteristic, complemented
128#14582782C2211yescharacteristic, complemented
129#14582782C2211yescharacteristic, complemented
130#14582781C2211yescharacteristic, complemented
131#14582781C2211yescharacteristic, complemented
132#14582780C2211yescharacteristic, complemented
133#14582780C2211yescharacteristic, complemented
134#14582779C2211yescharacteristic
135#14582779C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582776C2211yescharacteristic
143#14582776C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582774C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582772C2211yescharacteristic, complemented
152#14582771C2211yescharacteristic, complemented
153#14582770C2211yescharacteristic, complemented
154#14582770C2211yescharacteristic, complemented
155C22⋊C4×Dic43C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic, complemented
157C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic43C2211yescharacteristic, complemented
160#14582746C2211yescharacteristic, complemented
161#14582746C2211yescharacteristic, complemented
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
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173#95×D43C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic, complemented
175C2×#117×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#397C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic
179C43×#393C2211yescharacteristic, complemented
180C43×#391C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#387C2211yescharacteristic, complemented
184C43×#387C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×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—42no—
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43—24no—
206C22×C4×D43—24no—
207C22×C4×D43—24no—
208C22×C4×D43—24no—
209C22×C4×D43—24no—
210C22×C4×D43—42no—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
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
228#13063305—24no—
229#13063304—24no—
230#13063303—24no—
231#13063303—24no—
232#13063302—24no—
233#13063302—24no—
234#13063301—24no—
235#13063284—24no—
236#13063283—24no—
237#13063283—24no—
238#13063282—24no—
239#13063282—24no—
240#13063281—24no—
241#13063281—24no—
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
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
260C4⋊C4×D43—24no—
261C4⋊C4×D43—24no—
262C4⋊C4×D43—24no—
263C4⋊C4×D43—24no—
264C4⋊C4×D43—42no—
265C4⋊C4×D43D418yescomplemented
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×(C2×D43)⋊C4C2311yescharacteristic
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
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C22⋊C4×D43—24no—
297C22⋊C4×D43—24no—
298C22⋊C4×D43—24no—
299C22⋊C4×D43—24no—
300C22⋊C4×D43—24no—
301C22⋊C4×D43—24no—
302C22⋊C4×D43—24no—
303C22⋊C4×D43—24no—
304C22⋊C4×D43—24no—
305C22⋊C4×D43—42no—
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C42×D43—24no—
316C42×D43—24no—
317C42×D43—42no—
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
358C22⋊Q8×C43—24no—
359#117×C43—24no—
360C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×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×D43—22no—
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—41no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—22no—
421C22×C4×C43—41no—
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
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
435C2×C22⋊D43—22no—
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—22no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—41no—
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460Q8×D43—416no—
461D4×D43—416no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—41no—
465C2×C4×D43—232no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—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—41no—
511C2×C4×D43—41no—
512C2×C4×D43—416no—
513C2×C4×D43C2×D414yes—
514C2×C4×D43C2×D414yes—
515C2×C4×D43C2×D414yes—
516C2×C4×D43#4114yes—
517C2×C4×D43#4114yes—
518C2×Dic86—22no—
519C2×Dic86—22no—
520C2×Dic86—22no—
521C2×Dic86—22no—
522C2×Dic86—22no—
523C2×Dic86—22no—
524C2×Dic86—41no—
525C2×Dic86—41no—
526C2×Dic86—41no—
527C4⋊C4×C43—22no—
528C4⋊C4×C43—22no—
529C4⋊C4×C43—22no—
530C4⋊C4×C43—22no—
531C4⋊C4×C43—41no—
532C4⋊C4×C43C2×D414yescomplemented
533C22⋊C4×C43—22no—
534C22⋊C4×C43—22no—
535C22⋊C4×C43—22no—
536C22⋊C4×C43—22no—
537C22⋊C4×C43—22no—
538C22⋊C4×C43—22no—
539C22⋊C4×C43—22no—
540C22⋊C4×C43—22no—
541C22⋊C4×C43—22no—
542C22⋊C4×C43—41no—
543C42×C43—22no—
544C42×C43—22no—
545C42×C43—41no—
546C22⋊Dic43—22no—
547C22⋊Dic43—22no—
548C22⋊Dic43—22no—
549C22⋊Dic43—22no—
550C22⋊Dic43—22no—
551C22⋊Dic43—22no—
552C22⋊Dic43—22no—
553C22⋊Dic43—22no—
554C22⋊Dic43—22no—
555C22⋊Dic43—41no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—22no—
559(C2×D43)⋊C4—22no—
560(C2×D43)⋊C4—22no—
561(C2×D43)⋊C4—22no—
562(C2×D43)⋊C4—22no—
563(C2×D43)⋊C4—22no—
564(C2×D43)⋊C4—22no—
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—41no—
575(C2×D43)⋊C4—41no—
576C4⋊Dic43—22no—
577C4⋊Dic43—22no—
578C4⋊Dic43—22no—
579C4⋊Dic43—22no—
580C4⋊Dic43—41no—
581C4⋊Dic43C2×D414yescomplemented
582Dic43⋊C4—22no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—22no—
586Dic43⋊C4—22no—
587Dic43⋊C4—22no—
588Dic43⋊C4—22no—
589Dic43⋊C4—22no—
590Dic43⋊C4—41no—
591Dic43⋊C4—41no—
592Dic43⋊C4C2×D414yescomplemented
593Dic43⋊C4C2×D414yescomplemented
594C4×Dic43—22no—
595C4×Dic43—22no—
596C4×Dic43—22no—
597C4×Dic43—22no—
598C4×Dic43—22no—
599C4×Dic43—22no—
600C4×Dic43—41no—
601C4×Dic43—41no—
602C4×Dic43—41no—
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×C43C2×#4112yes—
616C23×C43C2×#4112yes—
617C23×C43C2511yescharacteristic
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—28no—
631C22×D43—28no—
632C22×D43—28no—
633C22×D43—28no—
634C22×D43—28no—
635C22×D43—28no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43—44no—
644C22×D43C22×D412yes—
645C22×D43C2×#4112yes—
646C22×D43C2×#4112yes—
647C22×D43C2×#4112yes—
648C22×D43C2×#4112yes—
649C22×D43C2×#4112yes—
650C22×D43C2×#4112yes—
651C22×D43H(5,𝔽2)12yes—
652C22×D432−1+412yes—
653Q8×C43—44no—
654D4×C43—44no—
655C2×C4×C43—28no—
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—44no—
691C2×C4×C43C22×D412yes—
692C2×C4×C43C22×D412yes—
693C2×C4×C43C22×D412yes—
694C2×C4×C43C2×#4112yes—
695C2×C4×C43C2×#4112yes—
696C22⋊D43—44no—
697C22⋊D43—44no—
698C2×Dic43—28no—
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—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—44no—
734C2×Dic43C22×D412yes—
735C2×Dic43C22×D412yes—
736C2×Dic43C22×D412yes—
737C2×Dic43C2×#4112yes—
738C2×Dic43C2×#4112yes—
739D172—44no—
740C4×D43—28no—
741C4×D43—28no—
742C4×D43—28no—
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—
757Dic86—44no—
758Dic86—44no—
759Dic86—44no—
760C2×#2477—431nomaximal, Sylow
761C22×C43—22no—
762C22×C43—22no—
763C22×C43—22no—
764C22×C43—22no—
765C22×C43—22no—
766C22×C43—22no—
767C22×C43—41no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43C23×D411yescharacteristic
776C22×C43C22×#4111yescharacteristic
777C22×C43C22×#4111yescharacteristic
778C22×C43C22×#4111yescharacteristic
779C22×C43C22×#4111yescharacteristic
780C22×C43C2×H(5,𝔽2)11yescharacteristic
781C22×C43C2×2−1+411yescharacteristic
782C2×D43—22no—
783C2×D43—22no—
784C2×D43—22no—
785C2×D43—22no—
786C2×D43—22no—
787C2×D43—22no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—416no—
797C2×D43—416no—
798C2×D43#52514yes—
799C2×D43#52914yes—
800C2×D43#54214yes—
801C2×D43#54614yes—
802C2×D43#54814yes—
803C2×D43#55114yes—
804C2×D43#55214yes—
805C4×C43—22no—
806C4×C43—22no—
807C4×C43—22no—
808C4×C43—22no—
809C4×C43—22no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818Dic43—22no—
819Dic43—22no—
820Dic43—22no—
821Dic43—22no—
822Dic43—22no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831C22×C22⋊Q8—431no—
832C22×#117—431no—
833#2477—431no—
834#2477—431no—
835#2477—431no—
836#2477—431no—
837#2477—431no—
838#2477—431no—
839#2477—431no—
840#2477—431no—
841#2477—431no—
842#2477—431no—
843#2477—431no—
844#2477—431no—
845#2477—431no—
846#2477—431no—
847#2477—431no—
848#2477D4311yescharacteristic, direct product factor
849C2×#400—431no—
850C2×#397—431no—
851C2×#394—431no—
852C2×#393—431no—
853C2×#391—431no—
854C2×#388—431no—
855C2×#388—431no—
856C2×#387—431no—
857C2×#387—431no—
858C2×#386—431no—
859C2×#386—431no—
860C2×#385—431no—
861C2×C4×C22⋊C4—431no—
862C2×C43—42no—
863C2×C43—42no—
864C2×C43C2×#52511yescharacteristic
865C2×C43C2×#52911yescharacteristic
866C2×C43C2×#54211yescharacteristic
867C2×C43C2×#54611yescharacteristic
868C2×C43C2×#54811yescharacteristic
869C2×C43C2×#55111yescharacteristic
870C2×C43C2×#55211yescharacteristic
871D43—42no—
872D43—42no—
873D43#247718yesdirect product factor
874C23×Q8—431no—
875C23×D4—431no—
876C24×C4—431no—
877C24×C4—431no—
878C2×C22⋊Q8—431no—
879C2×C22⋊Q8—431no—
880C2×C22⋊Q8—431no—
881C2×C22⋊Q8—431no—
882C2×C22⋊Q8—431no—
883C2×C22⋊Q8—431no—
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8—868no—
886C2×C22⋊Q8C2×D4311yescharacteristic, complemented
887C2×#117—431no—
888C2×#117—431no—
889C2×#117—431no—
890C2×#117—431no—
891C2×#117—431no—
892C2×#117—431no—
893C2×#117—431no—
894C2×#117—868no—
895C2×#117C2×D4311yescharacteristic, complemented
896C22×C4⋊C4—431no—
897C22×C4⋊C4—431no—
898C22×C4⋊C4—431no—
899C22×C4⋊C4—431no—
900C22×C4⋊C4—431no—
901C22×C4⋊C4—431no—
902C22×C22⋊C4—431no—
903C22×C22⋊C4—431no—
904C22×C22⋊C4—431no—
905C22×C22⋊C4—431no—
906C22×C22⋊C4—431no—
907C22×C22⋊C4—431no—
908C22×C22⋊C4—431no—
909C22×C22⋊C4—431no—
910C22×C22⋊C4—431no—
911C22×C22⋊C4—431no—
912C22×C42—431no—
913C22×C42—431no—
914C22×C42—431no—
915#400—431no—
916#400—431no—
917#400—431no—
918#400—431no—
919#400—431no—
920#400—431no—
921#400—431no—
922#400C2×D4311yescharacteristic, complemented
923#397—431no—
924#397—431no—
925#397—431no—
926#397—431no—
927#397—431no—
928#397—431no—
929#397—431no—
930#397C2×D4311yescharacteristic, complemented
931#394—431no—
932#394—431no—
933#394—431no—
934#394—431no—
935#394—431no—
936#394—431no—
937#394—431no—
938#394C2×D4311yescharacteristic
939#393—431no—
940#393—431no—
941#393—431no—
942#393—431no—
943#393—431no—
944#393—431no—
945#393—431no—
946#393C2×D4311yescharacteristic, complemented
947#391—431no—
948#391—431no—
949#391—431no—
950#391—431no—
951#391—431no—
952#391—431no—
953#391—431no—
954#391C2×D4311yescharacteristic, complemented
955#388—431no—
956#388—431no—
957#388—431no—
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#388C2×D4311yescharacteristic, complemented
970#388C2×D4311yescharacteristic, complemented
971#387—431no—
972#387—431no—
973#387—431no—
974#387—431no—
975#387—431no—
976#387—431no—
977#387—431no—
978#387—431no—
979#387—431no—
980#387—431no—
981#387—431no—
982#387—431no—
983#387—431no—
984#387—431no—
985#387C2×D4311yescharacteristic, complemented
986#387C2×D4311yescharacteristic, complemented
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
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#386C2×D4311yescharacteristic
1002#386C2×D4311yescharacteristic
1003#385—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385—431no—
1008#385—431no—
1009#385—431no—
1010#385C2×D4311yescharacteristic, complemented
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4—431no—
1013C4×C22⋊C4—431no—
1014C4×C22⋊C4—431no—
1015C4×C22⋊C4—431no—
1016C4×C22⋊C4—431no—
1017C4×C22⋊C4—431no—
1018C4×C22⋊C4C2×D4311yescharacteristic, complemented
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—
1031C43C2×#247711yescharacteristic, complemented, Sylow
1032C25—431no—
1033C25—431no—
1034C22×Q8—431no—
1035C22×Q8—431no—
1036C22×Q8—431no—
1037C22×Q8—864no—
1038C22×Q8—864no—
1039C22×Q8—1722no—
1040C22×Q8C22×D4311yescharacteristic
1041C22×D4—431no—
1042C22×D4—431no—
1043C22×D4—431no—
1044C22×D4—864no—
1045C22×D4—864no—
1046C22×D4—1722no—
1047C22×D4C22×D4311yescharacteristic
1048C23×C4—431no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—431no—
1052C23×C4—431no—
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—864no—
1068C23×C4—864no—
1069C23×C4—864no—
1070C23×C4—864no—
1071C23×C4—864no—
1072C23×C4—1722no—
1073C23×C4C22×D4311yescharacteristic
1074C23×C4C22×D4311yescharacteristic
1075C22⋊Q8—24no—
1076C22⋊Q8—864no—
1077C22⋊Q8—864no—
1078C22⋊Q8—864no—
1079C22⋊Q8—864no—
1080C22⋊Q8—864no—
1081C22⋊Q8—864no—
1082C22⋊Q8—864no—
1083#117—24no—
1084#117—864no—
1085#117—864no—
1086#117—864no—
1087#117—864no—
1088#117—864no—
1089#117—864no—
1090#117—864no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—438no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—431no—
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—864no—
1111C2×C4⋊C4—864no—
1112C2×C4⋊C4—864no—
1113C2×C4⋊C4—864no—
1114C2×C4⋊C4—1722no—
1115C2×C4⋊C4C22×D4311yescharacteristic
1116C2×C4⋊C4C22×D4311yescharacteristic
1117C2×C4⋊C4C22×D4311yescharacteristic
1118C2×C4⋊C4C22×D4311yescharacteristic
1119C2×C4⋊C4C22×D4311yescharacteristic
1120C2×C4⋊C4C22×D4311yescharacteristic
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
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—864no—
1152C2×C22⋊C4—864no—
1153C2×C22⋊C4—864no—
1154C2×C22⋊C4—864no—
1155C2×C22⋊C4—864no—
1156C2×C22⋊C4—864no—
1157C2×C22⋊C4—864no—
1158C2×C22⋊C4—864no—
1159C2×C22⋊C4—864no—
1160C2×C22⋊C4—1722no—
1161C2×C22⋊C4C22×D4311yescharacteristic
1162C2×C22⋊C4C22×D4311yescharacteristic
1163C2×C22⋊C4C22×D4311yescharacteristic
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×C42—431no—
1172C2×C42—431no—
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—864no—
1181C2×C42—864no—
1182C2×C42—1722no—
1183C2×C42C22×D4311yescharacteristic
1184C2×C42C22×D4311yescharacteristic
1185C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1223#95C22×D4311yescharacteristic
1224#95C22×D4311yescharacteristic
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
1234C24—431no—
1235C24—434no—
1236C24—434no—
1237C24—431no—
1238C24—431no—
1239C24—862no—
1240C24—862no—
1241C24—862no—
1242C24—862no—
1243C24—862no—
1244C24—862no—
1245C24—862no—
1246C24—862no—
1247C24—862no—
1248C24—862no—
1249C24—862no—
1250C24—862no—
1251C24C23×D4311yescharacteristic
1252C24C23×D4311yescharacteristic
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—41no—
1256C2×Q8—862no—
1257C2×Q8—862no—
1258C2×Q8—862no—
1259C2×Q8—862no—
1260C2×Q8—862no—
1261C2×Q8—862no—
1262C2×Q8—1721no—
1263C2×Q8—1721no—
1264C2×Q8—1721no—
1265C2×Q8—17216no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—41no—
1269C2×D4—862no—
1270C2×D4—862no—
1271C2×D4—862no—
1272C2×D4—862no—
1273C2×D4—862no—
1274C2×D4—862no—
1275C2×D4—1721no—
1276C2×D4—1721no—
1277C2×D4—1721no—
1278C2×D4—17216no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—434no—
1291C22×C4—434no—
1292C22×C4—434no—
1293C22×C4—434no—
1294C22×C4—434no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—431no—
1300C22×C4—431no—
1301C22×C4—431no—
1302C22×C4—431no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—862no—
1308C22×C4—862no—
1309C22×C4—862no—
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—8632no—
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—1721no—
1354C22×C4—1721no—
1355C22×C4—17216no—
1356C22×C4—1721no—
1357C22×C4C23×D4311yescharacteristic
1358C22×C4C23×D4311yescharacteristic
1359C22×C4C23×D4311yescharacteristic
1360C22×C4C23×D4311yescharacteristic
1361C22×C4C23×D4311yescharacteristic
1362C22×C4C23×D4311yescharacteristic
1363C22×C4C23×D4311yescharacteristic
1364C22×C4C23×D4311yescharacteristic
1365C22×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367C22×C4C23×D4311yescharacteristic
1368C22×C4C23×D4311yescharacteristic
1369C22×C4C23×D4311yescharacteristic
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—41no—
1375C4⋊C4—434no—
1376C4⋊C4—434no—
1377C4⋊C4—434no—
1378C4⋊C4—862no—
1379C4⋊C4—862no—
1380C4⋊C4—862no—
1381C4⋊C4—862no—
1382C4⋊C4—862no—
1383C4⋊C4—862no—
1384C4⋊C4—862no—
1385C4⋊C4—862no—
1386C4⋊C4—862no—
1387C4⋊C4—862no—
1388C4⋊C4—862no—
1389C4⋊C4—862no—
1390C4⋊C4—1721no—
1391C4⋊C4—1721no—
1392C4⋊C4—1721no—
1393C4⋊C4D4×D4314yescomplemented
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—41no—
1404C22⋊C4—862no—
1405C22⋊C4—862no—
1406C22⋊C4—862no—
1407C22⋊C4—862no—
1408C22⋊C4—862no—
1409C22⋊C4—862no—
1410C22⋊C4—862no—
1411C22⋊C4—862no—
1412C22⋊C4—862no—
1413C22⋊C4—862no—
1414C22⋊C4—862no—
1415C22⋊C4—862no—
1416C22⋊C4—862no—
1417C22⋊C4—862no—
1418C22⋊C4—862no—
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—1721no—
1432C22⋊C4—1721no—
1433C22⋊C4—1721no—
1434C42—22no—
1435C42—22no—
1436C42—41no—
1437C42—862no—
1438C42—862no—
1439C42—862no—
1440C42—862no—
1441C42—862no—
1442C42—862no—
1443C42—1721no—
1444C42—1721no—
1445C42—1721no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—432no—
1459C23—432no—
1460C23—432no—
1461C23—432no—
1462C23—432no—
1463C23—432no—
1464C23—432no—
1465C23—432no—
1466C23—432no—
1467C23—868no—
1468C23—868no—
1469C23—868no—
1470C23—868no—
1471C23—868no—
1472C23—868no—
1473C23—861no—
1474C23—861no—
1475C23—861no—
1476C23—861no—
1477C23—861no—
1478C23—861no—
1479C23—861no—
1480C23—861no—
1481C23—861no—
1482C23—861no—
1483C23—861no—
1484C23—861no—
1485C23—1724no—
1486C23—1724no—
1487C23—1724no—
1488C23—1724no—
1489C23—1724no—
1490C23—1724no—
1491C23—1724no—
1492C23—1724no—
1493C23#41×D4312yes—
1494C23#41×D4312yes—
1495C23C24×D4311yescharacteristic
1496Q8—44no—
1497Q8—1724no—
1498Q8—1724no—
1499Q8—1724no—
1500D4—44no—
1501D4—1724no—
1502D4—1724no—
1503D4—1724no—
1504C2×C4—28no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
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—44no—
1540C2×C4—432no—
1541C2×C4—432no—
1542C2×C4—432no—
1543C2×C4—432no—
1544C2×C4—432no—
1545C2×C4—868no—
1546C2×C4—868no—
1547C2×C4—868no—
1548C2×C4—868no—
1549C2×C4—868no—
1550C2×C4—868no—
1551C2×C4—868no—
1552C2×C4—868no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
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—1724no—
1588C2×C4—1724no—
1589C2×C4—1724no—
1590C2×C4—1724no—
1591C2×C4—1724no—
1592C2×C4—1724no—
1593C2×C4—1724no—
1594C2×C4—1724no—
1595C2×C4—1724no—
1596C2×C4—1724no—
1597C2×C4—1724no—
1598C2×C4C2×D4×D4312yes—
1599C2×C4C2×D4×D4312yes—
1600C2×C4C2×D4×D4312yes—
1601C2×C4#41×D4312yes—
1602C2×C4#41×D4312yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—434no—
1618C22—434no—
1619C22—434no—
1620C22—434no—
1621C22—434no—
1622C22—434no—
1623C22—434no—
1624C22—862no—
1625C22—862no—
1626C22—862no—
1627C22—862no—
1628C22—862no—
1629C22—862no—
1630C22—17216no—
1631C22—17216no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22C22×D4×D4311yescharacteristic
1641C22C2×#41×D4311yescharacteristic
1642C22C2×#41×D4311yescharacteristic
1643C22C2×#41×D4311yescharacteristic
1644C22C2×#41×D4311yescharacteristic
1645C22H(5,𝔽2)×D4311yescharacteristic
1646C222−1+4×D4311yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—862no—
1661C4—862no—
1662C4—862no—
1663C4—862no—
1664C4—862no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4—1721no—
1672C4—1721no—
1673C2—42no—
1674C2—42no—
1675C2—438no—
1676C2—1722no—
1677C2—1722no—
1678C2#525×D4311yescharacteristic
1679C2#529×D4311yescharacteristic
1680C2#542×D4311yescharacteristic
1681C2#546×D4311yescharacteristic
1682C2#548×D4311yescharacteristic
1683C2#551×D4311yescharacteristic
1684C2#552×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2477C2
prime radicalC22×D4×D43C22
hypercenter#2477D43
hypocenterC43C2×#2477
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×C22⋊Q8×D43C2semidirect
2. C2×#117×D43C2semidirect
3. #19138803C2semidirect
4. #19138802C2semidirect
5. #19138801C2semidirect
6. #19138800C2semidirect
7. #19138799C2semidirect
8. #19138798C2semidirect
9. #19138797C2semidirect
10. #19138796C2semidirect
11. #19138795C2semidirect
12. #19138794C2semidirect
13. #19138793C2semidirect
14. #19138792C2semidirect
15. #19138791C2semidirect
16. #19138790C2semidirect
17. #19138789C2semidirect
18. #400×D43C2semidirect
19. #397×D43C2semidirect
21. #393×D43C2semidirect
22. #391×D43C2semidirect
23. #388×D43C2semidirect
24. #388×D43C2semidirect
25. #387×D43C2semidirect
26. #387×D43C2semidirect
29. #385×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2477C2semidirect
36. C2×#13063305C22semidirect
37. C2×#13063304C22semidirect
38. C2×#13063303C22semidirect
39. C2×#13063303C22semidirect
40. C2×#13063302C22semidirect
41. C2×#13063302C22semidirect
42. C2×#13063301C22semidirect
44. C2×#13063284C22semidirect
45. C2×#13063283C22semidirect
46. C2×#13063283C22semidirect
47. C2×#13063282C22semidirect
48. C2×#13063282C22semidirect
49. C2×#13063281C22semidirect
50. C2×#13063281C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582840C22semidirect
74. #14582840C22semidirect
75. #14582839C22semidirect
76. #14582838C22semidirect
77. #14582837C22semidirect
78. #14582828C22semidirect
79. #14582828C22semidirect
80. #14582827C22semidirect
81. #14582827C22semidirect
82. #14582826C22semidirect
83. #14582825C22semidirect
84. #14582824C22semidirect
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. #14582793C22semidirect
107. #14582793C22semidirect
108. #14582792C22semidirect
109. #14582792C22semidirect
110. #14582791C22semidirect
111. #14582791C22semidirect
112. #14582790C22semidirect
113. #14582790C22semidirect
114. #14582789C22semidirect
115. #14582789C22semidirect
116. #14582788C22semidirect
117. #14582788C22semidirect
118. #14582787C22semidirect
119. #14582787C22semidirect
120. #14582786C22semidirect
121. #14582786C22semidirect
122. #14582785C22semidirect
123. #14582785C22semidirect
124. #14582784C22semidirect
125. #14582784C22semidirect
126. #14582783C22semidirect
127. #14582783C22semidirect
128. #14582782C22semidirect
129. #14582782C22semidirect
130. #14582781C22semidirect
131. #14582781C22semidirect
132. #14582780C22semidirect
133. #14582780C22semidirect
148. #14582774C22semidirect
149. #14582773C22semidirect
150. #14582773C22semidirect
151. #14582772C22semidirect
152. #14582771C22semidirect
153. #14582770C22semidirect
154. #14582770C22semidirect
155. C22⋊C4×Dic43C22semidirect
156. C22⋊C4×Dic43C22semidirect
157. C4×(C2×D43)⋊C4C22semidirect
158. C4×(C2×D43)⋊C4C22semidirect
159. C4×C22⋊Dic43C22semidirect
160. #14582746C22semidirect
161. #14582746C22semidirect
174. C2×C22⋊Q8×C43C22semidirect
175. C2×#117×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#397C22semidirect
179. C43×#393C22semidirect
180. C43×#391C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#387C22semidirect
184. C43×#387C22semidirect
187. C43×#385C22semidirect
188. C4×C22⋊C4×C43C22semidirect
265. C4⋊C4×D43D4semidirect
532. C4⋊C4×C43C2×D4semidirect
581. C4⋊Dic43C2×D4semidirect
592. Dic43⋊C4C2×D4semidirect
593. Dic43⋊C4C2×D4semidirect
848. #2477D43direct (N × H)
873. D43#2477direct (N × H)
886. C2×C22⋊Q8C2×D43semidirect
895. C2×#117C2×D43semidirect
922. #400C2×D43semidirect
930. #397C2×D43semidirect
946. #393C2×D43semidirect
954. #391C2×D43semidirect
969. #388C2×D43semidirect
970. #388C2×D43semidirect
985. #387C2×D43semidirect
986. #387C2×D43semidirect
1010. #385C2×D43semidirect
1018. C4×C22⋊C4C2×D43semidirect
1031. C43C2×#2477semidirect
1393. C4⋊C4D4×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×#117×D432
#191388032
#191388022
#191388012
#191388002
#191387992
#191387982
#191387972
#191387962
#191387952
#191387942
#191387932
#191387922
#191387912
#191387902
#191387892
#400×D432
#397×D432
#394×D432
#393×D432
#391×D432
#388×D432
#387×D432
#386×D432
#385×D432
C4×C22⋊C4×D432
C43×#24772
C2×#247743