Finite Group Databasebeta

← #25263676

Subgroups — #25263676

Order 11008.

2474 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583429C211yesmaximal, characteristic, complemented
2C2×C4×#10621900C211yesmaximal, characteristic, complemented
3#19140510C211yesmaximal, characteristic, complemented
4#19140508C211yesmaximal, characteristic, complemented
5#19140499C211yesmaximal, characteristic, complemented
6#19140497C211yesmaximal, characteristic, complemented
7#19140437C211yesmaximal, characteristic, complemented
8#19140435C211yesmaximal, characteristic, complemented
9#19140433C211yesmaximal, characteristic, complemented
10#19140431C211yesmaximal, characteristic, complemented
11#19140427C211yesmaximal, characteristic, complemented
12#19140424C211yesmaximal, characteristic, complemented
13#19140391C211yesmaximal, characteristic, complemented
14#19140383C211yesmaximal, characteristic, complemented
15#19140354C211yesmaximal, characteristic, complemented
16#19140351C211yesmaximal, characteristic, complemented
17#19140323C211yesmaximal, characteristic, complemented
18#19140318C211yesmaximal, characteristic
19#19137871C211yesmaximal, characteristic, complemented
20#19137869C211yesmaximal, characteristic, complemented
21#19137839C211yesmaximal, characteristic, complemented
22#19137837C211yesmaximal, characteristic, complemented
23#19137837C211yesmaximal, characteristic, complemented
24#19137837C211yesmaximal, characteristic, complemented
25#19137831C211yesmaximal, characteristic, complemented
26C4×#13063303C211yesmaximal, characteristic, complemented
27C4×#13063302C211yesmaximal, characteristic, complemented
28C4×#13063298C211yesmaximal, characteristic, complemented
29C4×#13063297C211yesmaximal, characteristic, complemented
30#19136998C211yesmaximal, characteristic, complemented
31C43×#2392C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33#14583429—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063318C2211yescharacteristic
36C2×#13063315C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063309C2211yescharacteristic
39C2×#13063306C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063302C2211yescharacteristic
42C2×#13063302C2211yescharacteristic
43C2×#13063298C2211yescharacteristic
44C2×#13063297C2211yescharacteristic
45C2×#13063297C2211yescharacteristic
46C4×#10621900—28no—
47C2×C4×Dic86C2211yescharacteristic
48C2×C4×Dic86C2211yescharacteristic
49C2×#13063290C2211yescharacteristic
50C2×C4×D172C2211yescharacteristic
51C2×D4×Dic43C2211yescharacteristic
52C2×C4×C22⋊D43C2211yescharacteristic
53C2×C4×C22⋊D43C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×C4×C22⋊D43C2211yescharacteristic
57C2×C4×C22⋊D43C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic
59C2×(C22⋊D43)⋊C4C2211yescharacteristic
60C2×#13063284C2211yescharacteristic
61C2×#13063284C2211yescharacteristic
62C2×#13063283C2211yescharacteristic
63C2×#13063282C2211yescharacteristic
64C2×#13063281C2211yescharacteristic
65C2×#13063281C2211yescharacteristic
66C22×C4×Dic43C2211yescharacteristic
67C22×C4×Dic43C2211yescharacteristic
68C2×C42×D43C2211yescharacteristic
69#14582841C2211yescharacteristic
70#14582840C2211yescharacteristic
71#14582835C2211yescharacteristic
72#14582834C2211yescharacteristic
73#14582833C2211yescharacteristic
74#14582833C2211yescharacteristic
75#14582833C2211yescharacteristic
76#14582832C2211yescharacteristic
77#14582832C2211yescharacteristic
78#14582832C2211yescharacteristic
79#14582831C2211yescharacteristic
80#14582830C2211yescharacteristic
81#14582829C2211yescharacteristic
82#14582828C2211yescharacteristic
83#14582827C2211yescharacteristic
84#14582827C2211yescharacteristic
85#14582827C2211yescharacteristic
86#14582824C2211yescharacteristic
87#14582823C2211yescharacteristic
88#14582823C2211yescharacteristic
89#14582822C2211yescharacteristic
90#14582822C2211yescharacteristic
91#14582822C2211yescharacteristic
92#14582822C2211yescharacteristic
93#14582822C2211yescharacteristic
94#14582822C2211yescharacteristic
95#14582821C2211yescharacteristic
96#14582821C2211yescharacteristic
97#14582821C2211yescharacteristic
98#14582821C2211yescharacteristic
99#14582821C2211yescharacteristic
100#14582821C2211yescharacteristic
101#14582820C2211yescharacteristic
102#14582819C2211yescharacteristic
103#14582817C2211yescharacteristic
104#14582816C2211yescharacteristic
105#14582815C2211yescharacteristic
106#14582815C2211yescharacteristic
107#14582815C2211yescharacteristic
108#14582815C2211yescharacteristic
109#14582815C2211yescharacteristic
110#14582814C2211yescharacteristic
111#14582814C2211yescharacteristic
112#14582814C2211yescharacteristic
113#14582814C2211yescharacteristic
114#14582814C2211yescharacteristic
115#14582813C2211yescharacteristic
116#14582813C2211yescharacteristic
117#14582813C2211yescharacteristic
118#14582812C2211yescharacteristic
119#14582811C2211yescharacteristic
120#14582808C2211yescharacteristic
121#14582808C2211yescharacteristic
122#14582807C2211yescharacteristic
123#14582807C2211yescharacteristic
124#14582807C2211yescharacteristic
125#14582803C2211yescharacteristic
126#14582803C2211yescharacteristic
127#14582799C2211yescharacteristic
128#14582799C2211yescharacteristic
129#14582796C2211yescharacteristic
130#14582796C2211yescharacteristic
131#14582794C2211yescharacteristic
132#14582794C2211yescharacteristic
133#14582793C2211yescharacteristic
134#14582792C2211yescharacteristic
135#14582789C2211yescharacteristic
136#14582788C2211yescharacteristic
137#14582786C2211yescharacteristic
138#14582785C2211yescharacteristic
139#14582782C2211yescharacteristic
140#14582781C2211yescharacteristic
141#14582779C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582776C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582774C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582771C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582768C2211yescharacteristic
150#14582768C2211yescharacteristic
151#14582764C2211yescharacteristic
152#14582764C2211yescharacteristic
153#14582758C2211yescharacteristic
154#14582758C2211yescharacteristic
155#14582757C2211yescharacteristic
156#14582757C2211yescharacteristic
157#14582757C2211yescharacteristic
158#14582757C2211yescharacteristic
159#14582757C2211yescharacteristic
160#14582757C2211yescharacteristic
161C4×Dic43⋊C4C2211yescharacteristic
162C4×Dic43⋊C4C2211yescharacteristic
163C4×Dic43⋊C4C2211yescharacteristic
164C4×Dic43⋊C4C2211yescharacteristic
165C4×Dic43⋊C4C2211yescharacteristic
166C4×Dic43⋊C4C2211yescharacteristic
167C4×C4⋊Dic43C2211yescharacteristic
168C4×(C2×D43)⋊C4C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic
170C4×(C2×D43)⋊C4C2211yescharacteristic
171C4×(C2×D43)⋊C4C2211yescharacteristic
172C4×C22⋊Dic43C2211yescharacteristic
173C4×C22⋊Dic43C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C2×C4×D4×C43C2211yescharacteristic
177C2×#117×C43C2211yescharacteristic
178C43×#398C2211yescharacteristic
179C43×#397C2211yescharacteristic
180C43×#396C2211yescharacteristic
181C43×#396C2211yescharacteristic
182C43×#394C2211yescharacteristic
183C43×#394C2211yescharacteristic
184C43×#394C2211yescharacteristic
185C43×#392C2211yescharacteristic
186C4×C4⋊C4×C43C2211yescharacteristic
187C4×C22⋊C4×C43C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic
189C2×#10621900—24no—
190C2×#10621900—24no—
191C2×#10621900—24no—
192C22×Dic86C2311yescharacteristic
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C23×Dic43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209#13063320—24no—
210#13063318—24no—
211#13063315—24no—
212#13063311—24no—
213#13063309—24no—
214#13063306—24no—
215#13063303—24no—
216#13063302—24no—
217#13063302—24no—
218#13063298—24no—
219#13063297—24no—
220#13063297—24no—
221C4×Dic86—24no—
222C4×Dic86—24no—
223#13063290—24no—
224C4×D172—42no—
225D4×Dic43—24no—
226C4×C22⋊D43—24no—
227C4×C22⋊D43—24no—
228C4×C22⋊D43—24no—
229C4×C22⋊D43—24no—
230C4×C22⋊D43—42no—
231C4×C22⋊D43—42no—
232(C22⋊D43)⋊C4—24no—
233(C22⋊D43)⋊C4—24no—
234#13063284—24no—
235#13063284—42no—
236#13063283—24no—
237#13063282—24no—
238#13063281—24no—
239#13063281—24no—
240C2×C4⋊Dic43C2311yescharacteristic
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
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
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
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
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×C4×Dic43—24no—
306C2×C4×Dic43D418yescomplemented
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C42×D43—24no—
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
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C4×D4×C43—24no—
353C4×D4×C43—24no—
354C4×D4×C43—42no—
355#117×C43—42no—
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C42×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377C2×C42×C43C2311yescharacteristic
378C2×C42×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C24×C43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C23×D43C2411yescharacteristic
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C22×C4×C43—22no—
400C22×C4×C43—22no—
401C22×C4×C43—22no—
402C22×C4×C43—22no—
403C22×C4×C43—22no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43C2×D414yes—
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—41no—
444C22×Dic43—41no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43C2×D414yes—
448C22×Dic43C2×D414yes—
449C22×Dic43#4114yes—
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
463C22×Dic43C2411yescharacteristic
464#10621900—232no—
465C2×D172—22no—
466C2×D172—41no—
467C2×D172—41no—
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—41no—
478C2×C4×D43—41no—
479C2×C4×D43#4114yes—
480C2×Dic86—22no—
481C2×Dic86—22no—
482C2×Dic86—22no—
483C2×Dic86—22no—
484C2×Dic86—22no—
485C2×Dic86—22no—
486C4⋊C4×C43—22no—
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43—41no—
490C4⋊C4×C43—41no—
491C4⋊C4×C43—41no—
492C4⋊C4×C43—41no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43—22no—
495C22⋊C4×C43—22no—
496C22⋊C4×C43—22no—
497C22⋊C4×C43—22no—
498C22⋊C4×C43—22no—
499C22⋊C4×C43—41no—
500C22⋊C4×C43—41no—
501C22⋊C4×C43—41no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C42×C43—22no—
506C42×C43—22no—
507C42×C43—22no—
508C42×C43—22no—
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—22no—
512C22⋊Dic43—22no—
513C22⋊Dic43—22no—
514C22⋊Dic43—22no—
515C22⋊Dic43—22no—
516C22⋊Dic43—22no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
522C22⋊Dic43—41no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541C4⋊Dic43—22no—
542C4⋊Dic43—22no—
543C4⋊Dic43—22no—
544C4⋊Dic43—22no—
545C4⋊Dic43—22no—
546C4⋊Dic43—41no—
547C4⋊Dic43—41no—
548C4⋊Dic43—41no—
549C4⋊Dic43—41no—
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—22no—
553Dic43⋊C4—22no—
554Dic43⋊C4—22no—
555Dic43⋊C4—22no—
556Dic43⋊C4—22no—
557Dic43⋊C4—22no—
558Dic43⋊C4—22no—
559Dic43⋊C4—22no—
560Dic43⋊C4—22no—
561Dic43⋊C4—22no—
562Dic43⋊C4—22no—
563Dic43⋊C4—22no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574C4×Dic43—22no—
575C4×Dic43—22no—
576C4×Dic43—22no—
577C4×Dic43—22no—
578C4×Dic43—22no—
579C4×Dic43—22no—
580C4×Dic43—22no—
581C4×Dic43—22no—
582C4×Dic43C2×D414yes—
583C4×Dic43C2×D414yes—
584C4×Dic43C2×D414yes—
585C4×Dic43C2×D414yes—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43C22×D412yes—
606C23×C43C2×#4112yes—
607C23×C43C2511yescharacteristic
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43C2×#4112yes—
622D4×C43—28no—
623D4×C43—44no—
624D4×C43—44no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—28no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—44no—
658C2×C4×C43—44no—
659C2×C4×C43C22×D412yes—
660C2×C4×C43C22×D412yes—
661C2×C4×C43C2×#4112yes—
662C2×C4×C43H(5,𝔽2)12yes—
663C2×C4×C432−1+412yes—
664C22⋊D43—28no—
665C22⋊D43—28no—
666C22⋊D43—44no—
667C22⋊D43—44no—
668C22⋊D43—44no—
669C22⋊D43—44no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—28no—
679C2×Dic43—28no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
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—44no—
708C2×Dic43—44no—
709C2×Dic43C22×D412yes—
710C2×Dic43C22×D412yes—
711C2×Dic43C22×D412yes—
712C2×Dic43C22×D412yes—
713C2×Dic43C2×#4112yes—
714C2×Dic43C2×#4112yes—
715C2×Dic43C2×#4112yes—
716D172—44no—
717C4×D43—28no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721Dic86—28no—
722Dic86—44no—
723#34614—431nomaximal, Sylow
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43C23×D411yescharacteristic
746C22×C43C22×#4111yescharacteristic
747C22×C43C22×#4111yescharacteristic
748C22×C43C2×H(5,𝔽2)11yescharacteristic
749C22×C43C2×2−1+411yescharacteristic
750C22×C43#58511yescharacteristic
751C22×C43#58511yescharacteristic
752C2×D43—22no—
753C2×D43—22no—
754C2×D43—22no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C4×C43—22no—
767C4×C43—22no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43—41no—
771C4×C43—41no—
772C4×C43—41no—
773C4×C43—41no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43#53714yes—
778Dic43—22no—
779Dic43—22no—
780Dic43—22no—
781Dic43—22no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785Dic43—41no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43#52514yes—
792C2×#529—431no—
793C2×C4×#41—431no—
794#2637—431no—
795#2637—431no—
796#2636—431no—
797#2636—431no—
798#2630—431no—
799#2630—431no—
800#2630—431no—
801#2630—431no—
802#2629—431no—
803#2629—431no—
804#2625—431no—
805#2624—431no—
806#2620—431no—
807#2620—431no—
808#2616—431no—
809#2615—431no—
810#2396—431no—
811#2396—431no—
812#2392—431no—
813#2392—431no—
814#2392—431no—
815#2392—431no—
816#2392—431no—
817#2392D4311yescharacteristic, complemented
818C4×C22⋊Q8—431no—
819C4×C22⋊Q8—431no—
820C4×#121—431no—
821C4×#121—431no—
822#2285—431no—
823C2×C43—42no—
824C2×C43—42no—
825C2×C43—81no—
826C2×C43C2×#52511yescharacteristic
827C2×C43C2×#53711yescharacteristic
828C2×C43#344911yescharacteristic
829C2×C43#346011yescharacteristic
830C2×C43#346011yescharacteristic
831C2×C43#346111yescharacteristic
832C2×C43#346111yescharacteristic
833D43—42no—
834D43—81no—
835C22×#41—431no—
836#529—868no—
837C2×#126—431no—
838C2×#126—431no—
839C2×#125—431no—
840C2×#124—431no—
841C2×#123—431no—
842C2×#123—431no—
843C2×C22⋊Q8—431no—
844C2×C22⋊Q8—431no—
845C2×C22⋊Q8—431no—
846C2×#121—431no—
847C2×#121—431no—
848C2×#121—431no—
849C4×#41—868no—
850C2×C4×Q8—431no—
851C2×C4×Q8—431no—
852C2×C4×Q8—431no—
853C2×C4×D4—431no—
854C2×C4×D4—431no—
855C2×C4×D4—431no—
856C2×C4×D4—431no—
857C2×C4×D4—431no—
858C2×C4×D4—431no—
859C2×C4×D4—431no—
860C2×C4×D4—431no—
861C2×C4×D4—431no—
862C2×C4×D4—431no—
863C2×C4×D4C2×D4311yescharacteristic
864C2×C4×D4C2×D4311yescharacteristic
865C2×C4×D4C2×D4311yescharacteristic
866C2×#117—431no—
867C2×#117—431no—
868C2×#117—431no—
869C2×#117—431no—
870C2×#117—431no—
871C2×#117—431no—
872C2×#117C2×D4311yescharacteristic
873C22×C42—431no—
874C22×C42—431no—
875C22×C42—431no—
876#400—431no—
877#400—431no—
878#399—431no—
879#399—431no—
880#398—431no—
881#398—431no—
882#398—431no—
883#398—431no—
884#398—431no—
885#398—431no—
886#398—431no—
887#398—431no—
888#398—431no—
889#398C2×D4311yescharacteristic
890#397—431no—
891#397—431no—
892#397—431no—
893#397—431no—
894#397—431no—
895#397C2×D4311yescharacteristic
896#396—431no—
897#396—431no—
898#396—431no—
899#396—431no—
900#396—431no—
901#396—431no—
902#396—431no—
903#396—431no—
904#396—431no—
905#396—431no—
906#396—431no—
907#396—431no—
908#396—431no—
909#396—431no—
910#396C2×D4311yescharacteristic
911#396C2×D4311yescharacteristic
912#395—431no—
913#395—431no—
914#394—431no—
915#394—431no—
916#394—431no—
917#394—431no—
918#394—431no—
919#394—431no—
920#394—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394—431no—
926#394—431no—
927#394—431no—
928#394—431no—
929#394C2×D4311yescharacteristic
930#394C2×D4311yescharacteristic
931#394C2×D4311yescharacteristic
932#393—431no—
933#393—431no—
934#392—431no—
935#392—431no—
936#392—431no—
937#392—431no—
938#392—431no—
939#392C2×D4311yescharacteristic
940#391—431no—
941#391—431no—
942#390—431no—
943#390—431no—
944#389—431no—
945#389—431no—
946#389—431no—
947#389—431no—
948#388—431no—
949#388—431no—
950#388—431no—
951#388—431no—
952#387—431no—
953#387—431no—
954#387—431no—
955#387—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#386—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#384—431no—
965#384—431no—
966#382—431no—
967#382—431no—
968#380—431no—
969#380—431no—
970#380—431no—
971#380—431no—
972#380—431no—
973#380—431no—
974#380—431no—
975#380—431no—
976C4×C4⋊C4—431no—
977C4×C4⋊C4—431no—
978C4×C4⋊C4—431no—
979C4×C4⋊C4—431no—
980C4×C4⋊C4—431no—
981C4×C4⋊C4—431no—
982C4×C4⋊C4—431no—
983C4×C4⋊C4C2×D4311yescharacteristic
984C4×C22⋊C4—431no—
985C4×C22⋊C4—431no—
986C4×C22⋊C4—431no—
987C4×C22⋊C4—431no—
988C4×C22⋊C4—431no—
989C4×C22⋊C4—431no—
990C4×C22⋊C4C2×D4311yescharacteristic
991C4×C22⋊C4C2×D4311yescharacteristic
992C43#3461411yescharacteristic, complemented, Sylow
993C2×#41—864no—
994C2×#41—864no—
995C2×#41—864no—
996C22×Q8—431no—
997C22×Q8—431no—
998C22×D4—431no—
999C22×D4—431no—
1000C22×D4—431no—
1001C22×D4—431no—
1002C22×D4—431no—
1003C22×D4—431no—
1004C22×D4—431no—
1005C22×D4C22×D4311yescharacteristic
1006C22×D4C22×D4311yescharacteristic
1007C22×D4C22×D4311yescharacteristic
1008C23×C4—431no—
1009C23×C4—431no—
1010C23×C4—431no—
1011C23×C4—431no—
1012C23×C4—431no—
1013C23×C4—431no—
1014C23×C4—431no—
1015C23×C4—431no—
1016C23×C4C22×D4311yescharacteristic
1017C23×C4C22×D4311yescharacteristic
1018C23×C4C22×D4311yescharacteristic
1019#126—864no—
1020#126—864no—
1021#125—864no—
1022#124—864no—
1023#123—864no—
1024#123—864no—
1025C22⋊Q8—864no—
1026C22⋊Q8—864no—
1027C22⋊Q8—864no—
1028#121—864no—
1029#121—864no—
1030#121—864no—
1031C4×Q8—864no—
1032C4×Q8—864no—
1033C4×Q8—864no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—42no—
1037C4×D4—864no—
1038C4×D4—864no—
1039C4×D4—864no—
1040C4×D4—864no—
1041C4×D4—864no—
1042C4×D4—864no—
1043C4×D4—864no—
1044C4×D4—1722no—
1045C4×D4—1722no—
1046C4×D4—1722no—
1047#117—42no—
1048#117—864no—
1049#117—864no—
1050#117—864no—
1051#117—864no—
1052#117—864no—
1053#117—1722no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4—431no—
1064C2×C4⋊C4—431no—
1065C2×C4⋊C4—431no—
1066C2×C4⋊C4—431no—
1067C2×C4⋊C4—431no—
1068C2×C4⋊C4—431no—
1069C2×C4⋊C4—431no—
1070C2×C4⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C4⋊C4C22×D4311yescharacteristic
1092C2×C4⋊C4C22×D4311yescharacteristic
1093C2×C4⋊C4C22×D4311yescharacteristic
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1127C2×C22⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4C22×D4311yescharacteristic
1129C2×C22⋊C4C22×D4311yescharacteristic
1130C2×C22⋊C4C22×D4311yescharacteristic
1131C2×C22⋊C4C22×D4311yescharacteristic
1132C2×C22⋊C4C22×D4311yescharacteristic
1133C2×C22⋊C4C22×D4311yescharacteristic
1134C2×C22⋊C4C22×D4311yescharacteristic
1135C2×C22⋊C4C22×D4311yescharacteristic
1136C2×C22⋊C4C22×D4311yescharacteristic
1137C2×C22⋊C4C22×D4311yescharacteristic
1138C2×C42—438no—
1139C2×C42—431no—
1140C2×C42—431no—
1141C2×C42—431no—
1142C2×C42—431no—
1143C2×C42—431no—
1144C2×C42—431no—
1145C2×C42—431no—
1146C2×C42—431no—
1147C2×C42—431no—
1148C2×C42—431no—
1149C2×C42—431no—
1150C2×C42—431no—
1151C2×C42—864no—
1152C2×C42—864no—
1153C2×C42C22×D4311yescharacteristic
1154C2×C42C22×D4311yescharacteristic
1155C2×C42C22×D4311yescharacteristic
1156C2×C42C22×D4311yescharacteristic
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95C22×D4311yescharacteristic
1184#95C22×D4311yescharacteristic
1185#95C22×D4311yescharacteristic
1186#95C22×D4311yescharacteristic
1187#95C22×D4311yescharacteristic
1188#95C22×D4311yescharacteristic
1189C24—431no—
1190C24—431no—
1191C24C23×D4311yescharacteristic
1192C24C23×D4311yescharacteristic
1193C24C23×D4311yescharacteristic
1194#41—8632no—
1195C2×Q8—862no—
1196C2×Q8—862no—
1197C2×Q8—862no—
1198C2×Q8—862no—
1199C2×Q8—862no—
1200C2×Q8—862no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—862no—
1211C2×D4—862no—
1212C2×D4—862no—
1213C2×D4—862no—
1214C2×D4—862no—
1215C2×D4—862no—
1216C2×D4—862no—
1217C2×D4—862no—
1218C2×D4—862no—
1219C2×D4—862no—
1220C2×D4—862no—
1221C2×D4—862no—
1222C2×D4—862no—
1223C2×D4—1721no—
1224C2×D4—1721no—
1225C2×D4—1721no—
1226C2×D4—1721no—
1227C2×D4—1721no—
1228C2×D4—1721no—
1229C2×D4—1721no—
1230C2×D4—1721no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—431no—
1240C22×C4—434no—
1241C22×C4—434no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—431no—
1245C22×C4—431no—
1246C22×C4—434no—
1247C22×C4—434no—
1248C22×C4—431no—
1249C22×C4—431no—
1250C22×C4—431no—
1251C22×C4—431no—
1252C22×C4—431no—
1253C22×C4—431no—
1254C22×C4—431no—
1255C22×C4—431no—
1256C22×C4—431no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—862no—
1260C22×C4—862no—
1261C22×C4—862no—
1262C22×C4—862no—
1263C22×C4—862no—
1264C22×C4—862no—
1265C22×C4—862no—
1266C22×C4—862no—
1267C22×C4—862no—
1268C22×C4—862no—
1269C22×C4—862no—
1270C22×C4—862no—
1271C22×C4—1721no—
1272C22×C4—1721no—
1273C22×C4—1721no—
1274C22×C4—1721no—
1275C22×C4—1721no—
1276C22×C4—1721no—
1277C22×C4D4×D4314yes—
1278C22×C4C23×D4311yescharacteristic
1279C22×C4C23×D4311yescharacteristic
1280C22×C4C23×D4311yescharacteristic
1281C22×C4C23×D4311yescharacteristic
1282C22×C4C23×D4311yescharacteristic
1283C22×C4C23×D4311yescharacteristic
1284C22×C4C23×D4311yescharacteristic
1285C22×C4C23×D4311yescharacteristic
1286C22×C4C23×D4311yescharacteristic
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—862no—
1298C4⋊C4—862no—
1299C4⋊C4—862no—
1300C4⋊C4—862no—
1301C4⋊C4—862no—
1302C4⋊C4—862no—
1303C4⋊C4—862no—
1304C4⋊C4—862no—
1305C4⋊C4—862no—
1306C4⋊C4—862no—
1307C4⋊C4—862no—
1308C4⋊C4—862no—
1309C4⋊C4—862no—
1310C4⋊C4—862no—
1311C4⋊C4—862no—
1312C4⋊C4—862no—
1313C4⋊C4—862no—
1314C4⋊C4—862no—
1315C4⋊C4—862no—
1316C4⋊C4—862no—
1317C4⋊C4—862no—
1318C4⋊C4—1721no—
1319C4⋊C4—1721no—
1320C4⋊C4—1721no—
1321C4⋊C4—1721no—
1322C4⋊C4—1721no—
1323C4⋊C4—1721no—
1324C4⋊C4—1721no—
1325C4⋊C4—1721no—
1326C4⋊C4—1721no—
1327C4⋊C4—1721no—
1328C4⋊C4—1721no—
1329C4⋊C4—1721no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—862no—
1343C22⋊C4—862no—
1344C22⋊C4—862no—
1345C22⋊C4—862no—
1346C22⋊C4—862no—
1347C22⋊C4—862no—
1348C22⋊C4—862no—
1349C22⋊C4—862no—
1350C22⋊C4—862no—
1351C22⋊C4—862no—
1352C22⋊C4—862no—
1353C22⋊C4—862no—
1354C22⋊C4—862no—
1355C22⋊C4—862no—
1356C22⋊C4—862no—
1357C22⋊C4—862no—
1358C22⋊C4—862no—
1359C22⋊C4—862no—
1360C22⋊C4—1721no—
1361C22⋊C4—1721no—
1362C22⋊C4—1721no—
1363C22⋊C4—1721no—
1364C22⋊C4—1721no—
1365C22⋊C4—1721no—
1366C22⋊C4—1721no—
1367C22⋊C4—1721no—
1368C22⋊C4—1721no—
1369C22⋊C4—1721no—
1370C22⋊C4—1721no—
1371C22⋊C4—1721no—
1372C22⋊C4—1721no—
1373C22⋊C4—1721no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—434no—
1379C42—434no—
1380C42—434no—
1381C42—434no—
1382C42—862no—
1383C42—862no—
1384C42—862no—
1385C42—862no—
1386C42—862no—
1387C42—862no—
1388C42—862no—
1389C42—862no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—432no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—861no—
1414C23—861no—
1415C23—861no—
1416C23—861no—
1417C23—861no—
1418C23—861no—
1419C23—861no—
1420C23—861no—
1421C23—861no—
1422C23—861no—
1423C23C2×D4×D4312yes—
1424C23#41×D4312yes—
1425C23C24×D4311yescharacteristic
1426Q8—868no—
1427Q8—1724no—
1428D4—28no—
1429D4—44no—
1430D4—44no—
1431D4—868no—
1432D4—868no—
1433D4—1724no—
1434D4—1724no—
1435D4—1724no—
1436D4—1724no—
1437D4—1724no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—28no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—432no—
1473C2×C4—432no—
1474C2×C4—432no—
1475C2×C4—432no—
1476C2×C4—432no—
1477C2×C4—432no—
1478C2×C4—432no—
1479C2×C4—868no—
1480C2×C4—868no—
1481C2×C4—868no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—861no—
1509C2×C4—861no—
1510C2×C4—861no—
1511C2×C4—861no—
1512C2×C4—861no—
1513C2×C4—861no—
1514C2×C4—861no—
1515C2×C4—861no—
1516C2×C4—861no—
1517C2×C4—1724no—
1518C2×C4—1724no—
1519C2×C4—1724no—
1520C2×C4—1724no—
1521C2×C4—1724no—
1522C2×C4C2×D4×D4312yes—
1523C2×C4C2×D4×D4312yes—
1524C2×C4#41×D4312yes—
1525C2×C4#1306337012yes—
1526C2×C4#1306337212yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—862no—
1549C22—862no—
1550C22—862no—
1551C22—1721no—
1552C22—1721no—
1553C22—1721no—
1554C22—1721no—
1555C22—1721no—
1556C22—1721no—
1557C22—1721no—
1558C22—1721no—
1559C22—1721no—
1560C22—1721no—
1561C22—1721no—
1562C22C22×D4×D4311yescharacteristic
1563C22C2×#41×D4311yescharacteristic
1564C22C2×#41×D4311yescharacteristic
1565C22C2×#1306337011yescharacteristic
1566C22C2×#1306337211yescharacteristic
1567C22#1458373511yescharacteristic
1568C22#1458373511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—434no—
1581C4—862no—
1582C4—862no—
1583C4—862no—
1584C4—862no—
1585C4—1721no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C4—1721no—
1593C4—1721no—
1594C4#1458347614yes—
1595C2—42no—
1596C2—42no—
1597C2—81no—
1598C2—3441no—
1599C2—1722no—
1600C2#525×D4311yescharacteristic
1601C2C2×#1458347611yescharacteristic
1602C2#1914792511yescharacteristic
1603C2#1914800911yescharacteristic
1604C2#1914801311yescharacteristic
1605C2#1914802011yescharacteristic
1606C2#1914802411yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutator, socle, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC43×#2392C2
prime radical#19140318C2
hypercenter#2392D43
hypocenterC43#34614
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#14583429C2semidirect
2. C2×C4×#10621900C2semidirect
3. #19140510C2semidirect
4. #19140508C2semidirect
5. #19140499C2semidirect
6. #19140497C2semidirect
7. #19140437C2semidirect
8. #19140435C2semidirect
9. #19140433C2semidirect
10. #19140431C2semidirect
11. #19140427C2semidirect
12. #19140424C2semidirect
13. #19140391C2semidirect
14. #19140383C2semidirect
15. #19140354C2semidirect
16. #19140351C2semidirect
17. #19140323C2semidirect
19. #19137871C2semidirect
20. #19137869C2semidirect
21. #19137839C2semidirect
22. #19137837C2semidirect
23. #19137837C2semidirect
24. #19137837C2semidirect
25. #19137831C2semidirect
26. C4×#13063303C2semidirect
27. C4×#13063302C2semidirect
28. C4×#13063298C2semidirect
29. C4×#13063297C2semidirect
30. #19136998C2semidirect
31. C43×#2392C2semidirect
306. C2×C4×Dic43D4semidirect
817. #2392D43semidirect
992. C43#34614semidirect

Maximal subgroups

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

subgroupindex
C2×#145834292
C2×C4×#106219002
#191405102
#191405082
#191404992
#191404972
#191404372
#191404352
#191404332
#191404312
#191404272
#191404242
#191403912
#191403832
#191403542
#191403512
#191403232
#191403182
#191378712
#191378692
#191378392
#191378372
#191378312
C4×#130633032
C4×#130633022
C4×#130632982
C4×#130632972
#191369982
C43×#23922
#3461443