Finite Group Databasebeta

← D43×#2481 #25264215

Subgroups — D43×#2481 #25264215

Order 11008.

3114 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×#126×D43C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D43C211yesmaximal, characteristic, complemented
3#19138863C211yesmaximal, characteristic, complemented
4#19138862C211yesmaximal, characteristic, complemented
5#19138861C211yesmaximal, characteristic, complemented
6#19138860C211yesmaximal, characteristic, complemented
7#19138859C211yesmaximal, characteristic, complemented
8#19138858C211yesmaximal, characteristic, complemented
9#19138857C211yesmaximal, characteristic, complemented
10#19138856C211yesmaximal, characteristic, complemented
11#19138855C211yesmaximal, characteristic, complemented
12#19138854C211yesmaximal, characteristic, complemented
13#19138853C211yesmaximal, characteristic, complemented
14#19138852C211yesmaximal, characteristic, complemented
15#19138851C211yesmaximal, characteristic, complemented
16#19138850C211yesmaximal, characteristic, complemented
17#19138849C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#400×D43C211yesmaximal, characteristic, complemented
20#397×D43C211yesmaximal, characteristic, complemented
21#396×D43C211yesmaximal, characteristic, complemented
22#388×D43C211yesmaximal, characteristic, complemented
23#387×D43C211yesmaximal, characteristic, complemented
24#387×D43C211yesmaximal, characteristic, complemented
25#386×D43C211yesmaximal, characteristic
26#386×D43C211yesmaximal, characteristic
27#386×D43C211yesmaximal, characteristic
28#385×D43C211yesmaximal, characteristic, complemented
29#380×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2481C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063320C2211yescharacteristic, complemented
38C2×#13063320C2211yescharacteristic, complemented
39C2×#13063319C2211yescharacteristic, complemented
40C2×#13063318C2211yescharacteristic, complemented
41C2×#13063318C2211yescharacteristic, complemented
42C2×#13063318C2211yescharacteristic, complemented
43#126×D43—28no—
44C22×C4⋊Dic43C2211yescharacteristic, complemented
45C22×Dic43⋊C4C2211yescharacteristic, complemented
46C22×Dic43⋊C4C2211yescharacteristic, complemented
47C2×C4⋊C4×D43—28no—
48C2×C4⋊C4×D43C2211yescharacteristic
49C2×C4⋊C4×D43C2211yescharacteristic
50C2×C4⋊C4×D43C2211yescharacteristic
51C2×C4⋊C4×D43C2211yescharacteristic
52C2×C4⋊C4×D43C2211yescharacteristic
53C2×C4⋊C4×D43C2211yescharacteristic
54C2×C4⋊C4×D43C2211yescharacteristic
55C2×C4⋊C4×D43C2211yescharacteristic
56C2×C4⋊C4×D43C2211yescharacteristic, complemented
57C2×C4⋊C4×D43C2211yescharacteristic, complemented
58C2×C4⋊C4×D43C2211yescharacteristic, complemented
59C2×C4⋊C4×D43C2211yescharacteristic, complemented
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×C22⋊C4×D43C2211yescharacteristic
69C2×C42×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582841C2211yescharacteristic, complemented
73#14582841C2211yescharacteristic, complemented
74#14582841C2211yescharacteristic, complemented
75#14582840C2211yescharacteristic, complemented
76#14582840C2211yescharacteristic, complemented
77#14582840C2211yescharacteristic, complemented
78#14582840C2211yescharacteristic, complemented
79#14582839C2211yescharacteristic, complemented
80#14582839C2211yescharacteristic, complemented
81#14582838C2211yescharacteristic, complemented
82#14582838C2211yescharacteristic, complemented
83#14582837C2211yescharacteristic, complemented
84#14582837C2211yescharacteristic, complemented
85#14582828C2211yescharacteristic, complemented
86#14582828C2211yescharacteristic, complemented
87#14582827C2211yescharacteristic, complemented
88#14582827C2211yescharacteristic, complemented
89#14582826C2211yescharacteristic, complemented
90#14582825C2211yescharacteristic, complemented
91#14582824C2211yescharacteristic, complemented
92#14582823C2211yescharacteristic, complemented
93#14582822C2211yescharacteristic, complemented
94#14582822C2211yescharacteristic, complemented
95#14582822C2211yescharacteristic, complemented
96#14582821C2211yescharacteristic, complemented
97#14582821C2211yescharacteristic, complemented
98#14582821C2211yescharacteristic, complemented
99#14582793C2211yescharacteristic, complemented
100#14582792C2211yescharacteristic, complemented
101#14582791C2211yescharacteristic, complemented
102#14582790C2211yescharacteristic, complemented
103#14582789C2211yescharacteristic, complemented
104#14582788C2211yescharacteristic, complemented
105#14582787C2211yescharacteristic, complemented
106#14582786C2211yescharacteristic, complemented
107#14582786C2211yescharacteristic, complemented
108#14582785C2211yescharacteristic, complemented
109#14582785C2211yescharacteristic, complemented
110#14582784C2211yescharacteristic, complemented
111#14582784C2211yescharacteristic, complemented
112#14582783C2211yescharacteristic, complemented
113#14582783C2211yescharacteristic, complemented
114#14582782C2211yescharacteristic, complemented
115#14582782C2211yescharacteristic, complemented
116#14582781C2211yescharacteristic, complemented
117#14582781C2211yescharacteristic, complemented
118#14582780C2211yescharacteristic, complemented
119#14582780C2211yescharacteristic, complemented
120#14582779C2211yescharacteristic
121#14582779C2211yescharacteristic
122#14582779C2211yescharacteristic
123#14582778C2211yescharacteristic
124#14582778C2211yescharacteristic
125#14582778C2211yescharacteristic
126#14582777C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582776C2211yescharacteristic
133#14582776C2211yescharacteristic
134#14582776C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582774C2211yescharacteristic, complemented
142#14582773C2211yescharacteristic, complemented
143#14582773C2211yescharacteristic, complemented
144#14582772C2211yescharacteristic, complemented
145#14582771C2211yescharacteristic, 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
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×#126×C43C2211yescharacteristic, complemented
175C22×C4⋊C4×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#400C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#385C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C2×D4×D43—24no—
195C2×D4×D43—24no—
196C2×D4×D43—24no—
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C22×C4×D43—24no—
201C22×C4×D43—24no—
202C22×C4×D43—24no—
203C22×C4×D43—24no—
204C22×C4×D43—24no—
205C22×C4×D43—24no—
206C22×C4×D43—24no—
207C22×C4×D43—42no—
208C22×C4×D43—42no—
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
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#13063320—24no—
229#13063320—24no—
230#13063320—24no—
231#13063319—24no—
232#13063318—24no—
233#13063318—24no—
234#13063318—24no—
235C2×C4⋊Dic43—24no—
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×Dic43⋊C4—24no—
245C2×Dic43⋊C4—24no—
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C4⋊C4×D43—24no—
263C4⋊C4×D43—24no—
264C4⋊C4×D43—24no—
265C4⋊C4×D43—24no—
266C4⋊C4×D43—24no—
267C4⋊C4×D43—24no—
268C4⋊C4×D43—24no—
269C4⋊C4×D43—24no—
270C4⋊C4×D43—24no—
271C4⋊C4×D43—24no—
272C4⋊C4×D43—42no—
273C4⋊C4×D43D418yescomplemented
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×(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
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C22⋊C4×D43—24no—
302C22⋊C4×D43—24no—
303C22⋊C4×D43—24no—
304C22⋊C4×D43—24no—
305C22⋊C4×D43—24no—
306C22⋊C4×D43—24no—
307C22⋊C4×D43—24no—
308C22⋊C4×D43—42no—
309C22⋊C4×D43—42no—
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
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×D4×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358#126×C43—24no—
359C2×C4⋊C4×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×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×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#4114yes—
405C23×D43#4114yes—
406C23×D43#4114yes—
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C2×D4×C43—22no—
411C2×D4×C43—22no—
412C2×D4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—41no—
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—22no—
440C2×C22⋊D43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—22no—
446C22×Dic43—22no—
447C22×Dic43—22no—
448C22×Dic43—41no—
449C22×Dic43—41no—
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463D4×D43—416no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—22no—
467C2×C4×D43—232no—
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—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—416no—
518C2×C4×D43—416no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43C2×D414yes—
524C2×C4×D43C2×D414yes—
525C2×C4×D43C2×D414yes—
526C2×C4×D43#4114yes—
527C4⋊C4×C43—22no—
528C4⋊C4×C43—22no—
529C4⋊C4×C43—22no—
530C4⋊C4×C43—22no—
531C4⋊C4×C43—22no—
532C4⋊C4×C43—22no—
533C4⋊C4×C43—41no—
534C4⋊C4×C43C2×D414yescomplemented
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—
543C22⋊C4×C43—41no—
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—41no—
554C22⋊Dic43—41no—
555(C2×D43)⋊C4—22no—
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—41no—
570(C2×D43)⋊C4—41no—
571(C2×D43)⋊C4—41no—
572(C2×D43)⋊C4—41no—
573C4⋊Dic43—22no—
574C4⋊Dic43—22no—
575C4⋊Dic43—22no—
576C4⋊Dic43—22no—
577C4⋊Dic43—22no—
578C4⋊Dic43—22no—
579C4⋊Dic43—41no—
580C4⋊Dic43C2×D414yescomplemented
581Dic43⋊C4—22no—
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—22no—
591Dic43⋊C4—22no—
592Dic43⋊C4—22no—
593Dic43⋊C4—41no—
594Dic43⋊C4—41no—
595Dic43⋊C4C2×D414yescomplemented
596Dic43⋊C4C2×D414yescomplemented
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×C43C2×#4112yes—
615C23×C43C2×#4112yes—
616C23×C43C2×#4112yes—
617C23×C43C2511yescharacteristic
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—28no—
623C22×D43—28no—
624C22×D43—28no—
625C22×D43—28no—
626C22×D43—28no—
627C22×D43—28no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—44no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43#126116yescomplemented
643C22×D43C22×D412yes—
644C22×D43C2×#4112yes—
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—
653D4×C43—44no—
654C2×C4×C43—28no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—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×C43—44no—
692C2×C4×C43C22×D412yes—
693C2×C4×C43C22×D412yes—
694C2×C4×C43C22×D412yes—
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—21no—
734C2×Dic43—44no—
735C2×Dic43—44no—
736C2×Dic43C22×D412yes—
737C2×Dic43C22×D412yes—
738C2×Dic43C22×D412yes—
739C2×Dic43C2×#4112yes—
740D172—44no—
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—
757C4×D43—44no—
758C4×D43—44no—
759C4×D43—44no—
760C2×#2481—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×C43C2×#12614yescomplemented
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—232no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—88no—
797C2×D43#52514yes—
798C2×D43C2×#12614yes—
799C2×D43C2×#12614yescomplemented
800C2×D43#53914yes—
801C2×D43#54614yes—
802C2×D43#54814yes—
803C2×D43#55214yes—
804C2×D43#55314yes—
805C4×C43—22no—
806C4×C43—22no—
807C4×C43—22no—
808C4×C43—22no—
809C4×C43—41no—
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—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830Dic43—41no—
831C22×#126—431no—
832C23×C4⋊C4—431no—
833#2481—431no—
834#2481—431no—
835#2481—431no—
836#2481—431no—
837#2481—431no—
838#2481—431no—
839#2481—431no—
840#2481—431no—
841#2481—431no—
842#2481—431no—
843#2481—431no—
844#2481—431no—
845#2481—431no—
846#2481—431no—
847#2481—431no—
848#2481D4311yescharacteristic, direct product factor
849C2×#400—431no—
850C2×#400—431no—
851C2×#397—431no—
852C2×#396—431no—
853C2×#388—431no—
854C2×#387—431no—
855C2×#387—431no—
856C2×#386—431no—
857C2×#386—431no—
858C2×#386—431no—
859C2×#385—431no—
860C2×#380—431no—
861C2×C4×C22⋊C4—431no—
862C2×C43—24no—
863C2×C43—81no—
864C2×C43C2×#52511yescharacteristic
865C2×C43C22×#12611yescharacteristic
866C2×C43C2×#53911yescharacteristic
867C2×C43C2×#54611yescharacteristic
868C2×C43C2×#54811yescharacteristic
869C2×C43C2×#55211yescharacteristic
870C2×C43C2×#55311yescharacteristic
871D43—24no—
872D43—81no—
873D43#248118yesdirect product factor
874C23×D4—431no—
875C24×C4—431no—
876C24×C4—431no—
877C24×C4—431no—
878C2×#126—431no—
879C2×#126—431no—
880C2×#126—431no—
881C2×#126—431no—
882C2×#126—431no—
883C2×#126—431no—
884C2×#126—431no—
885C2×#126—868no—
886C2×#126C2×D4311yescharacteristic, complemented
887C22×C4⋊C4—431no—
888C22×C4⋊C4—431no—
889C22×C4⋊C4—431no—
890C22×C4⋊C4—431no—
891C22×C4⋊C4—431no—
892C22×C4⋊C4—431no—
893C22×C4⋊C4—431no—
894C22×C4⋊C4—431no—
895C22×C4⋊C4—431no—
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×C4⋊C4—868no—
903C22×C4⋊C4C2×D4311yescharacteristic, complemented
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×C22⋊C4—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#400—431no—
923#400—431no—
924#400—431no—
925#400—431no—
926#400—431no—
927#400—431no—
928#400—431no—
929#400C2×D4311yescharacteristic, complemented
930#400C2×D4311yescharacteristic, complemented
931#397—431no—
932#397—431no—
933#397—431no—
934#397—431no—
935#397—431no—
936#397—431no—
937#397—431no—
938#397C2×D4311yescharacteristic, complemented
939#396—431no—
940#396—431no—
941#396—431no—
942#396—431no—
943#396—431no—
944#396—431no—
945#396—431no—
946#396C2×D4311yescharacteristic, complemented
947#388—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#388—431no—
953#388—431no—
954#388C2×D4311yescharacteristic, complemented
955#387—431no—
956#387—431no—
957#387—431no—
958#387—431no—
959#387—431no—
960#387—431no—
961#387—431no—
962#387—431no—
963#387—431no—
964#387—431no—
965#387—431no—
966#387—431no—
967#387—431no—
968#387—431no—
969#387C2×D4311yescharacteristic, complemented
970#387C2×D4311yescharacteristic, complemented
971#386—431no—
972#386—431no—
973#386—431no—
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#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386C2×D4311yescharacteristic
993#386C2×D4311yescharacteristic
994#386C2×D4311yescharacteristic
995#385—431no—
996#385—431no—
997#385—431no—
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
1002#385C2×D4311yescharacteristic, complemented
1003#380—431no—
1004#380—431no—
1005#380—431no—
1006#380—431no—
1007#380—431no—
1008#380—431no—
1009#380—431no—
1010#380C2×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×#248111yescharacteristic, complemented, Sylow
1032C25—431no—
1033C25—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4—864no—
1038C22×D4—864no—
1039C22×D4—864no—
1040C22×D4C22×D4311yescharacteristic
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—431no—
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—864no—
1064C23×C4—864no—
1065C23×C4—864no—
1066C23×C4—864no—
1067C23×C4—864no—
1068C23×C4—864no—
1069C23×C4—864no—
1070C23×C4—1722no—
1071C23×C4—1722no—
1072C23×C4C22×D4311yescharacteristic
1073C23×C4C22×D4311yescharacteristic
1074C23×C4C22×D4311yescharacteristic
1075#126—24no—
1076#126—864no—
1077#126—864no—
1078#126—864no—
1079#126—864no—
1080#126—864no—
1081#126—864no—
1082#126—864no—
1083C2×C4⋊C4—24no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—438no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
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—864no—
1110C2×C4⋊C4—864no—
1111C2×C4⋊C4—864no—
1112C2×C4⋊C4—864no—
1113C2×C4⋊C4—864no—
1114C2×C4⋊C4—864no—
1115C2×C4⋊C4—864no—
1116C2×C4⋊C4—864no—
1117C2×C4⋊C4—864no—
1118C2×C4⋊C4—864no—
1119C2×C4⋊C4—864no—
1120C2×C4⋊C4—864no—
1121C2×C4⋊C4—864no—
1122C2×C4⋊C4—1722no—
1123C2×C4⋊C4C22×D4311yescharacteristic
1124C2×C4⋊C4C22×D4311yescharacteristic
1125C2×C4⋊C4C22×D4311yescharacteristic
1126C2×C4⋊C4C22×D4311yescharacteristic
1127C2×C4⋊C4C22×D4311yescharacteristic
1128C2×C4⋊C4C22×D4311yescharacteristic
1129C2×C4⋊C4C22×D4311yescharacteristic
1130C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—864no—
1159C2×C22⋊C4—864no—
1160C2×C22⋊C4—864no—
1161C2×C22⋊C4—864no—
1162C2×C22⋊C4—864no—
1163C2×C22⋊C4—864no—
1164C2×C22⋊C4—864no—
1165C2×C22⋊C4—1722no—
1166C2×C22⋊C4—1722no—
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×C22⋊C4C22×D4311yescharacteristic
1174C2×C22⋊C4C22×D4311yescharacteristic
1175C2×C22⋊C4C22×D4311yescharacteristic
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—864no—
1183C2×C42—1722no—
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—434no—
1238C24—431no—
1239C24—431no—
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×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—862no—
1259C2×D4—862no—
1260C2×D4—862no—
1261C2×D4—862no—
1262C2×D4—862no—
1263C2×D4—862no—
1264C2×D4—862no—
1265C2×D4—17216no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—431no—
1276C22×C4—431no—
1277C22×C4—431no—
1278C22×C4—431no—
1279C22×C4—434no—
1280C22×C4—434no—
1281C22×C4—434no—
1282C22×C4—434no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—862no—
1293C22×C4—862no—
1294C22×C4—862no—
1295C22×C4—862no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—8632no—
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—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—1721no—
1350C22×C4—1721no—
1351C22×C4—1721no—
1352C22×C4—1721no—
1353C22×C4—17216no—
1354C22×C4—17216no—
1355C22×C4—1721no—
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—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—434no—
1378C4⋊C4—434no—
1379C4⋊C4—434no—
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—862no—
1391C4⋊C4—862no—
1392C4⋊C4—862no—
1393C4⋊C4—862no—
1394C4⋊C4—862no—
1395C4⋊C4—862no—
1396C4⋊C4—862no—
1397C4⋊C4—862no—
1398C4⋊C4—1721no—
1399C4⋊C4—1721no—
1400C4⋊C4—1721no—
1401C4⋊C4D4×D4314yescomplemented
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
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—862no—
1432C22⋊C4—1721no—
1433C22⋊C4—1721no—
1434C22⋊C4—1721no—
1435C22⋊C4—1721no—
1436C22⋊C4—1721no—
1437C22⋊C4—1721no—
1438C42—22no—
1439C42—41no—
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—432no—
1458C23—432no—
1459C23—432no—
1460C23—432no—
1461C23—432no—
1462C23—432no—
1463C23—432no—
1464C23—4316no—
1465C23—432no—
1466C23—432no—
1467C23—432no—
1468C23—868no—
1469C23—868no—
1470C23—868no—
1471C23—868no—
1472C23—868no—
1473C23—868no—
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#41×D4312yes—
1493C23#41×D4312yes—
1494C23#41×D4312yes—
1495C23C24×D4311yescharacteristic
1496D4—44no—
1497D4—1724no—
1498D4—1724no—
1499D4—1724no—
1500C2×C4—28no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
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—44no—
1537C2×C4—44no—
1538C2×C4—432no—
1539C2×C4—432no—
1540C2×C4—432no—
1541C2×C4—432no—
1542C2×C4—868no—
1543C2×C4—868no—
1544C2×C4—868no—
1545C2×C4—868no—
1546C2×C4—868no—
1547C2×C4—868no—
1548C2×C4—868no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
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—1724no—
1585C2×C4—1724no—
1586C2×C4—1724no—
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×C4—1724no—
1599C2×C4C2×D4×D4312yes—
1600C2×C4C2×D4×D4312yes—
1601C2×C4C2×D4×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—434no—
1617C22—434no—
1618C22—434no—
1619C22—434no—
1620C22—434no—
1621C22—434no—
1622C22—434no—
1623C22—434no—
1624C22—8632no—
1625C22—862no—
1626C22—862no—
1627C22—862no—
1628C22—862no—
1629C22—862no—
1630C22—862no—
1631C22—3448no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22#126×D4314yescomplemented
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—41no—
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—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C4—1721no—
1672C4—1721no—
1673C2—24no—
1674C2—81no—
1675C2—438no—
1676C2—864no—
1677C2—3441no—
1678C2#525×D4311yescharacteristic
1679C2C2×#126×D4311yescharacteristic
1680C2#539×D4311yescharacteristic
1681C2#546×D4311yescharacteristic
1682C2#548×D4311yescharacteristic
1683C2#552×D4311yescharacteristic
1684C2#553×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2481C2
prime radicalC22×D4×D43C22
hypercenter#2481D43
hypocenterC43C2×#2481
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#126×D43C2semidirect
2. C22×C4⋊C4×D43C2semidirect
3. #19138863C2semidirect
4. #19138862C2semidirect
5. #19138861C2semidirect
6. #19138860C2semidirect
7. #19138859C2semidirect
8. #19138858C2semidirect
9. #19138857C2semidirect
10. #19138856C2semidirect
11. #19138855C2semidirect
12. #19138854C2semidirect
13. #19138853C2semidirect
14. #19138852C2semidirect
15. #19138851C2semidirect
16. #19138850C2semidirect
17. #19138849C2semidirect
18. #400×D43C2semidirect
19. #400×D43C2semidirect
20. #397×D43C2semidirect
21. #396×D43C2semidirect
22. #388×D43C2semidirect
23. #387×D43C2semidirect
24. #387×D43C2semidirect
28. #385×D43C2semidirect
29. #380×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2481C2semidirect
36. C2×#13063320C22semidirect
37. C2×#13063320C22semidirect
38. C2×#13063320C22semidirect
39. C2×#13063319C22semidirect
40. C2×#13063318C22semidirect
41. C2×#13063318C22semidirect
42. C2×#13063318C22semidirect
44. C22×C4⋊Dic43C22semidirect
45. C22×Dic43⋊C4C22semidirect
46. C22×Dic43⋊C4C22semidirect
56. C2×C4⋊C4×D43C22semidirect
57. C2×C4⋊C4×D43C22semidirect
58. C2×C4⋊C4×D43C22semidirect
59. C2×C4⋊C4×D43C22semidirect
71. #14582841C22semidirect
72. #14582841C22semidirect
73. #14582841C22semidirect
74. #14582841C22semidirect
75. #14582840C22semidirect
76. #14582840C22semidirect
77. #14582840C22semidirect
78. #14582840C22semidirect
79. #14582839C22semidirect
80. #14582839C22semidirect
81. #14582838C22semidirect
82. #14582838C22semidirect
83. #14582837C22semidirect
84. #14582837C22semidirect
85. #14582828C22semidirect
86. #14582828C22semidirect
87. #14582827C22semidirect
88. #14582827C22semidirect
89. #14582826C22semidirect
90. #14582825C22semidirect
91. #14582824C22semidirect
92. #14582823C22semidirect
93. #14582822C22semidirect
94. #14582822C22semidirect
95. #14582822C22semidirect
96. #14582821C22semidirect
97. #14582821C22semidirect
98. #14582821C22semidirect
99. #14582793C22semidirect
100. #14582792C22semidirect
101. #14582791C22semidirect
102. #14582790C22semidirect
103. #14582789C22semidirect
104. #14582788C22semidirect
105. #14582787C22semidirect
106. #14582786C22semidirect
107. #14582786C22semidirect
108. #14582785C22semidirect
109. #14582785C22semidirect
110. #14582784C22semidirect
111. #14582784C22semidirect
112. #14582783C22semidirect
113. #14582783C22semidirect
114. #14582782C22semidirect
115. #14582782C22semidirect
116. #14582781C22semidirect
117. #14582781C22semidirect
118. #14582780C22semidirect
119. #14582780C22semidirect
141. #14582774C22semidirect
142. #14582773C22semidirect
143. #14582773C22semidirect
144. #14582772C22semidirect
145. #14582771C22semidirect
146. #14582770C22semidirect
147. #14582770C22semidirect
148. #14582759C22semidirect
149. #14582758C22semidirect
150. #14582758C22semidirect
151. #14582757C22semidirect
152. #14582757C22semidirect
153. #14582756C22semidirect
154. #14582756C22semidirect
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×#126×C43C22semidirect
175. C22×C4⋊C4×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#400C22semidirect
178. C43×#397C22semidirect
179. C43×#396C22semidirect
180. C43×#388C22semidirect
181. C43×#387C22semidirect
182. C43×#387C22semidirect
186. C43×#385C22semidirect
187. C43×#380C22semidirect
188. C4×C22⋊C4×C43C22semidirect
273. C4⋊C4×D43D4semidirect
534. C4⋊C4×C43C2×D4semidirect
580. C4⋊Dic43C2×D4semidirect
595. Dic43⋊C4C2×D4semidirect
596. Dic43⋊C4C2×D4semidirect
642. C22×D43#126semidirect
774. C22×C43C2×#126semidirect
799. C2×D43C2×#126semidirect
848. #2481D43direct (N × H)
873. D43#2481direct (N × H)
886. C2×#126C2×D43semidirect
903. C22×C4⋊C4C2×D43semidirect
929. #400C2×D43semidirect
930. #400C2×D43semidirect
938. #397C2×D43semidirect
946. #396C2×D43semidirect
954. #388C2×D43semidirect
969. #387C2×D43semidirect
970. #387C2×D43semidirect
1002. #385C2×D43semidirect
1010. #380C2×D43semidirect
1018. C4×C22⋊C4C2×D43semidirect
1031. C43C2×#2481semidirect
1401. C4⋊C4D4×D43semidirect
1639. C22#126×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D432
C22×C4⋊C4×D432
#191388632
#191388622
#191388612
#191388602
#191388592
#191388582
#191388572
#191388562
#191388552
#191388542
#191388532
#191388522
#191388512
#191388502
#191388492
#400×D432
#397×D432
#396×D432
#388×D432
#387×D432
#386×D432
#385×D432
#380×D432
C4×C22⋊C4×D432
C43×#24812
C2×#248143