Finite Group Databasebeta

← D43×#2558 #25266734

Subgroups — D43×#2558 #25266734

Order 11008.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#125×D43C211yesmaximal, characteristic, complemented
2C2×#123×D43C211yesmaximal, characteristic
3#19139716C211yesmaximal, characteristic, complemented
4#19139715C211yesmaximal, characteristic, complemented
5#19139714C211yesmaximal, characteristic, complemented
6#19139713C211yesmaximal, characteristic, complemented
7#19139712C211yesmaximal, characteristic, complemented
8#19139711C211yesmaximal, characteristic, complemented
9#19139710C211yesmaximal, characteristic, complemented
10#19139709C211yesmaximal, characteristic, complemented
11#19139708C211yesmaximal, characteristic, complemented
12#19139707C211yesmaximal, characteristic, complemented
13#19139706C211yesmaximal, characteristic, complemented
14#19139705C211yesmaximal, characteristic, complemented
15#19139704C211yesmaximal, characteristic, complemented
16#19139703C211yesmaximal, characteristic, complemented
17#19139702C211yesmaximal, characteristic, complemented
18#400×D43C211yesmaximal, characteristic, complemented
19#396×D43C211yesmaximal, characteristic, complemented
20#396×D43C211yesmaximal, characteristic, complemented
21#394×D43C211yesmaximal, characteristic
22#390×D43C211yesmaximal, characteristic
23#389×D43C211yesmaximal, characteristic, complemented
24#388×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic, complemented
26#388×D43C211yesmaximal, characteristic, complemented
27#388×D43C211yesmaximal, characteristic, complemented
28#385×D43C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2558C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063317C2211yescharacteristic, complemented
35C2×#13063316C2211yescharacteristic, complemented
36C2×#13063316C2211yescharacteristic, complemented
37C2×#13063315C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063315C2211yescharacteristic, complemented
40C2×#13063315C2211yescharacteristic, complemented
41#125×D43—28no—
42C2×#13063310C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063309C2211yescharacteristic
45C2×#13063308C2211yescharacteristic
46C2×#13063307C2211yescharacteristic
47C2×#13063307C2211yescharacteristic
48C2×#13063306C2211yescharacteristic
49#123×D43—28no—
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
57C2×C4⋊C4×D43C2211yescharacteristic
58C2×C4⋊C4×D43C2211yescharacteristic
59C2×C4⋊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×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C22⋊C4×D43C2211yescharacteristic
71C2×C42×D43C2211yescharacteristic
72C2×C42×D43C2211yescharacteristic
73C2×C42×D43C2211yescharacteristic
74C2×C42×D43C2211yescharacteristic
75#14582841C2211yescharacteristic, complemented
76#14582841C2211yescharacteristic, complemented
77#14582840C2211yescharacteristic, complemented
78#14582840C2211yescharacteristic, complemented
79#14582839C2211yescharacteristic, complemented
80#14582838C2211yescharacteristic, complemented
81#14582837C2211yescharacteristic, complemented
82#14582823C2211yescharacteristic, complemented
83#14582823C2211yescharacteristic, complemented
84#14582822C2211yescharacteristic, complemented
85#14582822C2211yescharacteristic, complemented
86#14582822C2211yescharacteristic, complemented
87#14582822C2211yescharacteristic, complemented
88#14582822C2211yescharacteristic, complemented
89#14582822C2211yescharacteristic, complemented
90#14582821C2211yescharacteristic, complemented
91#14582821C2211yescharacteristic, complemented
92#14582821C2211yescharacteristic, complemented
93#14582821C2211yescharacteristic, complemented
94#14582821C2211yescharacteristic, complemented
95#14582821C2211yescharacteristic, complemented
96#14582817C2211yescharacteristic
97#14582816C2211yescharacteristic
98#14582815C2211yescharacteristic
99#14582815C2211yescharacteristic
100#14582814C2211yescharacteristic
101#14582814C2211yescharacteristic
102#14582813C2211yescharacteristic
103#14582802C2211yescharacteristic
104#14582801C2211yescharacteristic
105#14582800C2211yescharacteristic
106#14582799C2211yescharacteristic
107#14582799C2211yescharacteristic
108#14582799C2211yescharacteristic
109#14582799C2211yescharacteristic
110#14582798C2211yescharacteristic, complemented
111#14582797C2211yescharacteristic, complemented
112#14582796C2211yescharacteristic, complemented
113#14582796C2211yescharacteristic, complemented
114#14582795C2211yescharacteristic, complemented
115#14582794C2211yescharacteristic, complemented
116#14582794C2211yescharacteristic, complemented
117#14582793C2211yescharacteristic, complemented
118#14582793C2211yescharacteristic, complemented
119#14582793C2211yescharacteristic, complemented
120#14582793C2211yescharacteristic, complemented
121#14582792C2211yescharacteristic, complemented
122#14582792C2211yescharacteristic, complemented
123#14582792C2211yescharacteristic, complemented
124#14582792C2211yescharacteristic, complemented
125#14582791C2211yescharacteristic, complemented
126#14582791C2211yescharacteristic, complemented
127#14582791C2211yescharacteristic, complemented
128#14582791C2211yescharacteristic, complemented
129#14582790C2211yescharacteristic, complemented
130#14582790C2211yescharacteristic, complemented
131#14582790C2211yescharacteristic, complemented
132#14582790C2211yescharacteristic, complemented
133#14582789C2211yescharacteristic, complemented
134#14582789C2211yescharacteristic, complemented
135#14582789C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582788C2211yescharacteristic, complemented
138#14582788C2211yescharacteristic, complemented
139#14582788C2211yescharacteristic, complemented
140#14582788C2211yescharacteristic, complemented
141#14582787C2211yescharacteristic, complemented
142#14582787C2211yescharacteristic, complemented
143#14582787C2211yescharacteristic, complemented
144#14582787C2211yescharacteristic, complemented
145#14582774C2211yescharacteristic, complemented
146#14582773C2211yescharacteristic, complemented
147#14582773C2211yescharacteristic, complemented
148#14582772C2211yescharacteristic, complemented
149#14582771C2211yescharacteristic, complemented
150#14582770C2211yescharacteristic, complemented
151#14582770C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4⋊C4×Dic43C2211yescharacteristic, complemented
154C4×Dic43⋊C4C2211yescharacteristic, complemented
155C4×Dic43⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic43C2211yescharacteristic, complemented
157#14582750C2211yescharacteristic, complemented
158#14582750C2211yescharacteristic, complemented
159C22⋊C4×Dic43C2211yescharacteristic, complemented
160C22⋊C4×Dic43C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
163C4×C22⋊Dic43C2211yescharacteristic, complemented
164#14582746C2211yescharacteristic, complemented
165#14582746C2211yescharacteristic, complemented
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×#125×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic
180C43×#390C2211yescharacteristic
181C43×#389C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#388C2211yescharacteristic, complemented
185C43×#388C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C4×C4⋊C4×C43C2211yescharacteristic, 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—42no—
197C23×Dic43C2311yescharacteristic
198C22×C4×D43—24no—
199C22×C4×D43—24no—
200C22×C4×D43—42no—
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216#13063317—24no—
217#13063316—24no—
218#13063316—24no—
219#13063315—24no—
220#13063315—24no—
221#13063315—24no—
222#13063315—24no—
223#13063310—24no—
224#13063310—24no—
225#13063309—24no—
226#13063308—24no—
227#13063307—24no—
228#13063307—24no—
229#13063306—24no—
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×C4⋊Dic43C2311yescharacteristic
239C2×C4⋊Dic43C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×Dic43⋊C4C2311yescharacteristic
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C4⋊C4×D43—24no—
261C4⋊C4×D43—24no—
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—42no—
269C4⋊C4×D43D418yes—
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×(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
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
303C22⋊C4×D43—24no—
304C22⋊C4×D43—24no—
305C22⋊C4×D43—24no—
306C22⋊C4×D43—24no—
307C22⋊C4×D43—24no—
308C22⋊C4×D43—24no—
309C22⋊C4×D43—24no—
310C22⋊C4×D43—24no—
311C22⋊C4×D43—24no—
312C22⋊C4×D43—24no—
313C22⋊C4×D43—42no—
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C42×D43—24no—
327C42×D43—24no—
328C42×D43—42no—
329C42×D43—42no—
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
356#125×C43—24no—
357#123×C43—24no—
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C42×C43C2311yescharacteristic
380C2×C42×C43C2311yescharacteristic
381C2×C42×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
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—22no—
406C23×D43#4114yes—
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C2×D4×C43—22no—
411C2×D4×C43—22no—
412C2×D4×C43—41no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—41no—
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C22×Dic43—22no—
436C22×Dic43—22no—
437C22×Dic43—41no—
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451D4×D43—416no—
452C2×D172—22no—
453C2×D172—22no—
454C2×D172—41no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
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—416no—
493C2×C4×D43—41no—
494C2×C4×D43—41no—
495C2×C4×D43C2×D414yes—
496C2×C4×D43C2×D414yes—
497C2×C4×D43C2×D414yes—
498C2×C4×D43#4114yes—
499C2×C4×D43#4114yes—
500C2×C4×D43#4114yes—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—22no—
505C4⋊C4×C43—22no—
506C4⋊C4×C43—22no—
507C4⋊C4×C43—22no—
508C4⋊C4×C43—22no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43C2×D414yes—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—22no—
519C22⋊C4×C43—22no—
520C22⋊C4×C43—22no—
521C22⋊C4×C43—41no—
522C42×C43—22no—
523C42×C43—22no—
524C42×C43—41no—
525C42×C43—41no—
526C22⋊Dic43—22no—
527C22⋊Dic43—22no—
528C22⋊Dic43—22no—
529C22⋊Dic43—22no—
530C22⋊Dic43—22no—
531C22⋊Dic43—22no—
532C22⋊Dic43—22no—
533C22⋊Dic43—22no—
534C22⋊Dic43—22no—
535C22⋊Dic43—22no—
536C22⋊Dic43—41no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—22no—
550(C2×D43)⋊C4—22no—
551(C2×D43)⋊C4—22no—
552(C2×D43)⋊C4—22no—
553(C2×D43)⋊C4—22no—
554(C2×D43)⋊C4—22no—
555(C2×D43)⋊C4—22no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—41no—
558(C2×D43)⋊C4—41no—
559C4⋊Dic43—22no—
560C4⋊Dic43—22no—
561C4⋊Dic43—22no—
562C4⋊Dic43—22no—
563C4⋊Dic43—22no—
564C4⋊Dic43—22no—
565C4⋊Dic43—22no—
566C4⋊Dic43—22no—
567C4⋊Dic43—41no—
568C4⋊Dic43C2×D414yes—
569Dic43⋊C4—22no—
570Dic43⋊C4—22no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—22no—
575Dic43⋊C4—22no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—22no—
580Dic43⋊C4—22no—
581Dic43⋊C4—22no—
582Dic43⋊C4—22no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—41no—
586Dic43⋊C4—41no—
587Dic43⋊C4C2×D414yes—
588Dic43⋊C4C2×D414yes—
589C4×Dic43—22no—
590C4×Dic43—22no—
591C4×Dic43—22no—
592C4×Dic43—22no—
593C4×Dic43—22no—
594C4×Dic43—22no—
595C4×Dic43—41no—
596C4×Dic43—41no—
597C4×Dic43—41no—
598C4×Dic43—41no—
599C4×Dic43—41no—
600C4×Dic43—41no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43C2×#4112yes—
615C23×C43C2511yescharacteristic
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—28no—
623C22×D43—28no—
624C22×D43—28no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—44no—
633C22×D43—44no—
634C22×D43—44no—
635C22×D43—44no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43C22×D412yes—
644C22×D43C2×#4112yes—
645C22×D43C2×#4112yes—
646C22×D43C2×#4112yes—
647C22×D43C2×#4112yes—
648C22×D43C2×#4112yes—
649C22×D43H(5,𝔽2)12yes—
650C22×D432−1+412yes—
651D4×C43—44no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—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—44no—
686C2×C4×C43C22×D412yes—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C22×D412yes—
689C2×C4×C43C2×#4112yes—
690C2×C4×C43C2×#4112yes—
691C2×C4×C43C2×#4112yes—
692C22⋊D43—44no—
693C22⋊D43—44no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—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—44no—
728C2×Dic43C22×D412yes—
729C2×Dic43C22×D412yes—
730C2×Dic43C22×D412yes—
731C2×Dic43C2×#4112yes—
732C2×Dic43C2×#4112yes—
733C2×Dic43C2×#4112yes—
734D172—44no—
735C4×D43—28no—
736C4×D43—28no—
737C4×D43—28no—
738C4×D43—28no—
739C4×D43—28no—
740C4×D43—28no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—44no—
745C4×D43—44no—
746C4×D43—44no—
747C4×D43—44no—
748C4×D43—44no—
749C4×D43—44no—
750C2×#2558—431nomaximal, Sylow
751C22×C43—22no—
752C22×C43—22no—
753C22×C43—22no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43C23×D411yescharacteristic
766C22×C43C22×#4111yescharacteristic
767C22×C43C22×#4111yescharacteristic
768C22×C43C22×#4111yescharacteristic
769C22×C43C22×#4111yescharacteristic
770C22×C43C2×H(5,𝔽2)11yescharacteristic
771C22×C43C2×2−1+411yescharacteristic
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—22no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—416no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—88no—
788C2×D43#52914yes—
789C2×D43#53214yes—
790C2×D43#53914yes—
791C2×D43#54614yes—
792C2×D43#54814yes—
793C2×D43#55214yes—
794C2×D43#55314yes—
795C4×C43—22no—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808Dic43—22no—
809Dic43—22no—
810Dic43—22no—
811Dic43—22no—
812Dic43—22no—
813Dic43—22no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821C22×#125—431no—
822C22×#123—431no—
823#2558—431no—
824#2558—431no—
825#2558—431no—
826#2558—431no—
827#2558—431no—
828#2558—431no—
829#2558—431no—
830#2558—431no—
831#2558—431no—
832#2558—431no—
833#2558—431no—
834#2558—431no—
835#2558—431no—
836#2558—431no—
837#2558—431no—
838#2558D4311yescharacteristic, direct product factor
839C2×#400—431no—
840C2×#396—431no—
841C2×#396—431no—
842C2×#394—431no—
843C2×#390—431no—
844C2×#389—431no—
845C2×#388—431no—
846C2×#388—431no—
847C2×#388—431no—
848C2×#388—431no—
849C2×#385—431no—
850C2×C4×C4⋊C4—431no—
851C2×C4×C22⋊C4—431no—
852C2×C43—42no—
853C2×C43—81no—
854C2×C43C2×#52911yescharacteristic
855C2×C43C2×#53211yescharacteristic
856C2×C43C2×#53911yescharacteristic
857C2×C43C2×#54611yescharacteristic
858C2×C43C2×#54811yescharacteristic
859C2×C43C2×#55211yescharacteristic
860C2×C43C2×#55311yescharacteristic
861D43—42no—
862D43—81no—
863D43#255818yesdirect product factor
864C23×D4—431no—
865C24×C4—431no—
866C2×#125—431no—
867C2×#125—431no—
868C2×#125—431no—
869C2×#125—431no—
870C2×#125—431no—
871C2×#125—431no—
872C2×#125—431no—
873C2×#125—868no—
874C2×#125C2×D4311yescharacteristic, complemented
875C2×#123—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123—868no—
883C2×#123C2×D4311yescharacteristic
884C22×C4⋊C4—431no—
885C22×C4⋊C4—431no—
886C22×C4⋊C4—431no—
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×C22⋊C4—431no—
895C22×C22⋊C4—431no—
896C22×C22⋊C4—431no—
897C22×C22⋊C4—431no—
898C22×C22⋊C4—431no—
899C22×C22⋊C4—431no—
900C22×C22⋊C4—431no—
901C22×C22⋊C4—431no—
902C22×C22⋊C4—431no—
903C22×C22⋊C4—431no—
904C22×C22⋊C4—431no—
905C22×C42—431no—
906C22×C42—431no—
907C22×C42—431no—
908C22×C42—431no—
909#400—431no—
910#400—431no—
911#400—431no—
912#400—431no—
913#400—431no—
914#400—431no—
915#400—431no—
916#400C2×D4311yescharacteristic, complemented
917#396—431no—
918#396—431no—
919#396—431no—
920#396—431no—
921#396—431no—
922#396—431no—
923#396—431no—
924#396—431no—
925#396—431no—
926#396—431no—
927#396—431no—
928#396—431no—
929#396—431no—
930#396—431no—
931#396C2×D4311yescharacteristic, complemented
932#396C2×D4311yescharacteristic, complemented
933#394—431no—
934#394—431no—
935#394—431no—
936#394—431no—
937#394—431no—
938#394—431no—
939#394—431no—
940#394C2×D4311yescharacteristic
941#390—431no—
942#390—431no—
943#390—431no—
944#390—431no—
945#390—431no—
946#390—431no—
947#390—431no—
948#390C2×D4311yescharacteristic
949#389—431no—
950#389—431no—
951#389—431no—
952#389—431no—
953#389—431no—
954#389—431no—
955#389—431no—
956#389C2×D4311yescharacteristic, complemented
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#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#388—431no—
981#388—431no—
982#388—431no—
983#388—431no—
984#388—431no—
985#388C2×D4311yescharacteristic, complemented
986#388C2×D4311yescharacteristic, complemented
987#388C2×D4311yescharacteristic, complemented
988#388C2×D4311yescharacteristic, complemented
989#385—431no—
990#385—431no—
991#385—431no—
992#385—431no—
993#385—431no—
994#385—431no—
995#385—431no—
996#385C2×D4311yescharacteristic, complemented
997C4×C4⋊C4—431no—
998C4×C4⋊C4—431no—
999C4×C4⋊C4—431no—
1000C4×C4⋊C4—431no—
1001C4×C4⋊C4—431no—
1002C4×C4⋊C4—431no—
1003C4×C4⋊C4—431no—
1004C4×C4⋊C4C2×D4311yescharacteristic, complemented
1005C4×C22⋊C4—431no—
1006C4×C22⋊C4—431no—
1007C4×C22⋊C4—431no—
1008C4×C22⋊C4—431no—
1009C4×C22⋊C4—431no—
1010C4×C22⋊C4—431no—
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4C2×D4311yescharacteristic, complemented
1013C2×#95—431no—
1014C2×#95—431no—
1015C2×#95—431no—
1016C2×#95—431no—
1017C2×#95—431no—
1018C2×#95—431no—
1019C2×#95—431no—
1020C2×#95—431no—
1021C43C2×#255811yescharacteristic, complemented, Sylow
1022C25—431no—
1023C25—431no—
1024C22×D4—431no—
1025C22×D4—431no—
1026C22×D4—431no—
1027C22×D4—864no—
1028C22×D4—864no—
1029C22×D4—1722no—
1030C22×D4C22×D4311yescharacteristic
1031C23×C4—431no—
1032C23×C4—431no—
1033C23×C4—431no—
1034C23×C4—431no—
1035C23×C4—431no—
1036C23×C4—431no—
1037C23×C4—431no—
1038C23×C4—431no—
1039C23×C4—431no—
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—864no—
1048C23×C4—864no—
1049C23×C4—1722no—
1050C23×C4C22×D4311yescharacteristic
1051#125—24no—
1052#125—864no—
1053#125—864no—
1054#125—864no—
1055#125—864no—
1056#125—864no—
1057#125—864no—
1058#125—864no—
1059#123—24no—
1060#123—864no—
1061#123—864no—
1062#123—864no—
1063#123—864no—
1064#123—864no—
1065#123—864no—
1066#123—864no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—438no—
1071C2×C4⋊C4—431no—
1072C2×C4⋊C4—431no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
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—864no—
1099C2×C4⋊C4—864no—
1100C2×C4⋊C4—864no—
1101C2×C4⋊C4—864no—
1102C2×C4⋊C4—864no—
1103C2×C4⋊C4—864no—
1104C2×C4⋊C4—864no—
1105C2×C4⋊C4—864no—
1106C2×C4⋊C4—1722no—
1107C2×C4⋊C4C22×D4311yescharacteristic
1108C2×C4⋊C4C22×D4311yescharacteristic
1109C2×C4⋊C4C22×D4311yescharacteristic
1110C2×C4⋊C4C22×D4311yescharacteristic
1111C2×C4⋊C4C22×D4311yescharacteristic
1112C2×C4⋊C4C22×D4311yescharacteristic
1113C2×C4⋊C4C22×D4311yescharacteristic
1114C2×C4⋊C4C22×D4311yescharacteristic
1115C2×C4⋊C4C22×D4311yescharacteristic
1116C2×C4⋊C4C22×D4311yescharacteristic
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
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—864no—
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×C22⋊C4C22×D4311yescharacteristic
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—431no—
1181C2×C42—431no—
1182C2×C42—431no—
1183C2×C42—431no—
1184C2×C42—864no—
1185C2×C42—864no—
1186C2×C42—1722no—
1187C2×C42—1722no—
1188C2×C42C22×D4311yescharacteristic
1189C2×C42C22×D4311yescharacteristic
1190C2×C42C22×D4311yescharacteristic
1191C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219#95C22×D4311yescharacteristic
1220#95C22×D4311yescharacteristic
1221#95C22×D4311yescharacteristic
1222#95C22×D4311yescharacteristic
1223#95C22×D4311yescharacteristic
1224C24—431no—
1225C24—434no—
1226C24—431no—
1227C24—431no—
1228C24—862no—
1229C24—862no—
1230C24—862no—
1231C24—862no—
1232C24—862no—
1233C24—862no—
1234C24—862no—
1235C24—862no—
1236C24—862no—
1237C24—862no—
1238C24—862no—
1239C24—862no—
1240C24—862no—
1241C24C23×D4311yescharacteristic
1242C24C23×D4311yescharacteristic
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—1721no—
1253C2×D4—17216no—
1254C2×D4—1721no—
1255C2×D4—1721no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—431no—
1260C22×C4—431no—
1261C22×C4—431no—
1262C22×C4—431no—
1263C22×C4—431no—
1264C22×C4—431no—
1265C22×C4—434no—
1266C22×C4—434no—
1267C22×C4—434no—
1268C22×C4—434no—
1269C22×C4—434no—
1270C22×C4—434no—
1271C22×C4—431no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—431no—
1275C22×C4—431no—
1276C22×C4—431no—
1277C22×C4—431no—
1278C22×C4—862no—
1279C22×C4—862no—
1280C22×C4—862no—
1281C22×C4—862no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—862no—
1285C22×C4—862no—
1286C22×C4—862no—
1287C22×C4—862no—
1288C22×C4—862no—
1289C22×C4—862no—
1290C22×C4—862no—
1291C22×C4—862no—
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—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—1721no—
1318C22×C4—1721no—
1319C22×C4—17216no—
1320C22×C4—1721no—
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—434no—
1344C4⋊C4—434no—
1345C4⋊C4—434no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—862no—
1349C4⋊C4—862no—
1350C4⋊C4—862no—
1351C4⋊C4—862no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—862no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C4⋊C4—862no—
1363C4⋊C4—862no—
1364C4⋊C4—862no—
1365C4⋊C4—862no—
1366C4⋊C4—862no—
1367C4⋊C4—862no—
1368C4⋊C4—862no—
1369C4⋊C4—862no—
1370C4⋊C4—1721no—
1371C4⋊C4—1721no—
1372C4⋊C4—1721no—
1373C4⋊C4D4×D4314yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—41no—
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—862no—
1399C22⋊C4—862no—
1400C22⋊C4—862no—
1401C22⋊C4—862no—
1402C22⋊C4—862no—
1403C22⋊C4—862no—
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—1721no—
1416C22⋊C4—1721no—
1417C22⋊C4—1721no—
1418C42—22no—
1419C42—22no—
1420C42—41no—
1421C42—41no—
1422C42—862no—
1423C42—862no—
1424C42—862no—
1425C42—862no—
1426C42—862no—
1427C42—862no—
1428C42—1721no—
1429C42—1721no—
1430C42—1721no—
1431C42—1721no—
1432C42—1721no—
1433C42—1721no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—432no—
1448C23—432no—
1449C23—432no—
1450C23—432no—
1451C23—432no—
1452C23—432no—
1453C23—432no—
1454C23—432no—
1455C23—868no—
1456C23—868no—
1457C23—868no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—1724no—
1472C23—1724no—
1473C23—1724no—
1474C23—1724no—
1475C23—1724no—
1476C23—1724no—
1477C23—1724no—
1478C23—1724no—
1479C23—1724no—
1480C23—1724no—
1481C23—1724no—
1482C23#41×D4312yes—
1483C23C24×D4311yescharacteristic
1484D4—44no—
1485D4—1724no—
1486D4—1724no—
1487D4—1724no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
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—44no—
1522C2×C4—432no—
1523C2×C4—432no—
1524C2×C4—432no—
1525C2×C4—432no—
1526C2×C4—432no—
1527C2×C4—432no—
1528C2×C4—868no—
1529C2×C4—868no—
1530C2×C4—868no—
1531C2×C4—868no—
1532C2×C4—868no—
1533C2×C4—868no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
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—1724no—
1568C2×C4—1724no—
1569C2×C4—1724no—
1570C2×C4—1724no—
1571C2×C4—1724no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4—1724no—
1576C2×C4—1724no—
1577C2×C4C2×D4×D4312yes—
1578C2×C4C2×D4×D4312yes—
1579C2×C4C2×D4×D4312yes—
1580C2×C4#41×D4312yes—
1581C2×C4#41×D4312yes—
1582C2×C4#41×D4312yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—434no—
1598C22—434no—
1599C22—434no—
1600C22—434no—
1601C22—434no—
1602C22—434no—
1603C22—434no—
1604C22—862no—
1605C22—862no—
1606C22—862no—
1607C22—3448no—
1608C22—17216no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22C22×D4×D4311yescharacteristic
1621C22C2×#41×D4311yescharacteristic
1622C22C2×#41×D4311yescharacteristic
1623C22C2×#41×D4311yescharacteristic
1624C22C2×#41×D4311yescharacteristic
1625C22H(5,𝔽2)×D4311yescharacteristic
1626C222−1+4×D4311yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—862no—
1641C4—862no—
1642C4—862no—
1643C4—862no—
1644C4—862no—
1645C4—862no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C2—42no—
1654C2—81no—
1655C2—438no—
1656C2—3441no—
1657C2—1722no—
1658C2#529×D4311yescharacteristic
1659C2#532×D4311yescharacteristic
1660C2#539×D4311yescharacteristic
1661C2#546×D4311yescharacteristic
1662C2#548×D4311yescharacteristic
1663C2#552×D4311yescharacteristic
1664C2#553×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2558C2
prime radicalC22×D4×D43C22
hypercenter#2558D43
hypocenterC43C2×#2558
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2558

Complements

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

NH ≅ G/Ntype
1. C2×#125×D43C2semidirect
3. #19139716C2semidirect
4. #19139715C2semidirect
5. #19139714C2semidirect
6. #19139713C2semidirect
7. #19139712C2semidirect
8. #19139711C2semidirect
9. #19139710C2semidirect
10. #19139709C2semidirect
11. #19139708C2semidirect
12. #19139707C2semidirect
13. #19139706C2semidirect
14. #19139705C2semidirect
15. #19139704C2semidirect
16. #19139703C2semidirect
17. #19139702C2semidirect
18. #400×D43C2semidirect
19. #396×D43C2semidirect
20. #396×D43C2semidirect
23. #389×D43C2semidirect
24. #388×D43C2semidirect
25. #388×D43C2semidirect
26. #388×D43C2semidirect
27. #388×D43C2semidirect
28. #385×D43C2semidirect
29. C4×C4⋊C4×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2558C2semidirect
34. C2×#13063317C22semidirect
35. C2×#13063316C22semidirect
36. C2×#13063316C22semidirect
37. C2×#13063315C22semidirect
38. C2×#13063315C22semidirect
39. C2×#13063315C22semidirect
40. C2×#13063315C22semidirect
75. #14582841C22semidirect
76. #14582841C22semidirect
77. #14582840C22semidirect
78. #14582840C22semidirect
79. #14582839C22semidirect
80. #14582838C22semidirect
81. #14582837C22semidirect
82. #14582823C22semidirect
83. #14582823C22semidirect
84. #14582822C22semidirect
85. #14582822C22semidirect
86. #14582822C22semidirect
87. #14582822C22semidirect
88. #14582822C22semidirect
89. #14582822C22semidirect
90. #14582821C22semidirect
91. #14582821C22semidirect
92. #14582821C22semidirect
93. #14582821C22semidirect
94. #14582821C22semidirect
95. #14582821C22semidirect
110. #14582798C22semidirect
111. #14582797C22semidirect
112. #14582796C22semidirect
113. #14582796C22semidirect
114. #14582795C22semidirect
115. #14582794C22semidirect
116. #14582794C22semidirect
117. #14582793C22semidirect
118. #14582793C22semidirect
119. #14582793C22semidirect
120. #14582793C22semidirect
121. #14582792C22semidirect
122. #14582792C22semidirect
123. #14582792C22semidirect
124. #14582792C22semidirect
125. #14582791C22semidirect
126. #14582791C22semidirect
127. #14582791C22semidirect
128. #14582791C22semidirect
129. #14582790C22semidirect
130. #14582790C22semidirect
131. #14582790C22semidirect
132. #14582790C22semidirect
133. #14582789C22semidirect
134. #14582789C22semidirect
135. #14582789C22semidirect
136. #14582789C22semidirect
137. #14582788C22semidirect
138. #14582788C22semidirect
139. #14582788C22semidirect
140. #14582788C22semidirect
141. #14582787C22semidirect
142. #14582787C22semidirect
143. #14582787C22semidirect
144. #14582787C22semidirect
145. #14582774C22semidirect
146. #14582773C22semidirect
147. #14582773C22semidirect
148. #14582772C22semidirect
149. #14582771C22semidirect
150. #14582770C22semidirect
151. #14582770C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4⋊C4×Dic43C22semidirect
154. C4×Dic43⋊C4C22semidirect
155. C4×Dic43⋊C4C22semidirect
156. C4×C4⋊Dic43C22semidirect
157. #14582750C22semidirect
158. #14582750C22semidirect
159. C22⋊C4×Dic43C22semidirect
160. C22⋊C4×Dic43C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
162. C4×(C2×D43)⋊C4C22semidirect
163. C4×C22⋊Dic43C22semidirect
164. #14582746C22semidirect
165. #14582746C22semidirect
174. C2×#125×C43C22semidirect
176. C43×#400C22semidirect
177. C43×#396C22semidirect
178. C43×#396C22semidirect
181. C43×#389C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
184. C43×#388C22semidirect
185. C43×#388C22semidirect
186. C43×#385C22semidirect
187. C4×C4⋊C4×C43C22semidirect
188. C4×C22⋊C4×C43C22semidirect
838. #2558D43direct (N × H)
863. D43#2558direct (N × H)
874. C2×#125C2×D43semidirect
916. #400C2×D43semidirect
931. #396C2×D43semidirect
932. #396C2×D43semidirect
956. #389C2×D43semidirect
985. #388C2×D43semidirect
986. #388C2×D43semidirect
987. #388C2×D43semidirect
988. #388C2×D43semidirect
996. #385C2×D43semidirect
1004. C4×C4⋊C4C2×D43semidirect
1012. C4×C22⋊C4C2×D43semidirect
1021. C43C2×#2558semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D432
C2×#123×D432
#191397162
#191397152
#191397142
#191397132
#191397122
#191397112
#191397102
#191397092
#191397082
#191397072
#191397062
#191397052
#191397042
#191397032
#191397022
#400×D432
#396×D432
#394×D432
#390×D432
#389×D432
#388×D432
#385×D432
C4×C4⋊C4×D432
C4×C22⋊C4×D432
C43×#25582
C2×#255843