Finite Group Databasebeta

← #25269241

Subgroups — #25269241

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×#14583495C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D43C211yesmaximal, characteristic, complemented
3#19142890C211yesmaximal, characteristic, complemented
4#19142886C211yesmaximal, characteristic, complemented
5#19142879C211yesmaximal, characteristic, complemented
6#19142876C211yesmaximal, characteristic
7#19140407C211yesmaximal, characteristic, complemented
8#19140380C211yesmaximal, characteristic, complemented
9#19140376C211yesmaximal, characteristic, complemented
10#19140342C211yesmaximal, characteristic, complemented
11#19138861C211yesmaximal, characteristic, complemented
12#19138857C211yesmaximal, characteristic, complemented
13#19138854C211yesmaximal, characteristic, complemented
14#19138850C211yesmaximal, characteristic, complemented
15#19138742C211yesmaximal, characteristic, complemented
16#19138738C211yesmaximal, characteristic, complemented
17#19138733C211yesmaximal, characteristic, complemented
18#19138729C211yesmaximal, characteristic, complemented
19#19138401C211yesmaximal, characteristic, complemented
20#19138400C211yesmaximal, characteristic, complemented
21#19138397C211yesmaximal, characteristic, complemented
22#19138336C211yesmaximal, characteristic, complemented
23#19138333C211yesmaximal, characteristic, complemented
24#19138329C211yesmaximal, characteristic, complemented
25#19138324C211yesmaximal, characteristic, complemented
26#19137262C211yesmaximal, characteristic, complemented
27#19137259C211yesmaximal, characteristic, complemented
28#19137194C211yesmaximal, characteristic, complemented
29#19137096C211yesmaximal, characteristic, complemented
30C4×#13063293C211yesmaximal, characteristic, complemented
31C43×#2449C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35#14583495—28no—
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063318C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063315C2211yescharacteristic, complemented
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063308C2211yescharacteristic, complemented
43C2×#13063307C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063307C2211yescharacteristic, complemented
46C2×#13063301C2211yescharacteristic
47C2×#13063301C2211yescharacteristic
48C2×#13063301C2211yescharacteristic, complemented
49C2×#13063298C2211yescharacteristic
50C2×#13063298C2211yescharacteristic
51C2×#13063297C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063293C2211yescharacteristic
54C2×#13063287C2211yescharacteristic
55C2×#13063287C2211yescharacteristic
56C2×C4×C22⋊D43C2211yescharacteristic
57C2×C4×C22⋊D43C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic
59C22×C4⋊Dic43C2211yescharacteristic
60C22×Dic43⋊C4C2211yescharacteristic
61C22×Dic43⋊C4C2211yescharacteristic
62C2×C4⋊C4×D43—28no—
63C2×C4⋊C4×D43C2211yescharacteristic
64C2×C4⋊C4×D43C2211yescharacteristic
65C2×C4⋊C4×D43C2211yescharacteristic
66C2×C4⋊C4×D43C2211yescharacteristic
67C2×C4⋊C4×D43C2211yescharacteristic
68C2×C4⋊C4×D43C2211yescharacteristic
69C2×C4⋊C4×D43C2211yescharacteristic
70C2×C4⋊C4×D43C2211yescharacteristic
71#14582840C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582839C2211yescharacteristic, complemented
74#14582839C2211yescharacteristic, complemented
75#14582838C2211yescharacteristic, complemented
76#14582837C2211yescharacteristic, complemented
77#14582835C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582834C2211yescharacteristic, complemented
80#14582833C2211yescharacteristic, complemented
81#14582833C2211yescharacteristic, complemented
82#14582833C2211yescharacteristic, complemented
83#14582832C2211yescharacteristic, complemented
84#14582832C2211yescharacteristic, complemented
85#14582832C2211yescharacteristic, complemented
86#14582830C2211yescharacteristic, complemented
87#14582830C2211yescharacteristic, complemented
88#14582829C2211yescharacteristic, complemented
89#14582827C2211yescharacteristic, complemented
90#14582827C2211yescharacteristic, complemented
91#14582826C2211yescharacteristic, complemented
92#14582825C2211yescharacteristic, complemented
93#14582822C2211yescharacteristic, complemented
94#14582821C2211yescharacteristic, complemented
95#14582821C2211yescharacteristic, complemented
96#14582818C2211yescharacteristic, complemented
97#14582815C2211yescharacteristic, complemented
98#14582814C2211yescharacteristic, complemented
99#14582796C2211yescharacteristic, complemented
100#14582795C2211yescharacteristic, complemented
101#14582794C2211yescharacteristic, complemented
102#14582792C2211yescharacteristic, complemented
103#14582790C2211yescharacteristic, complemented
104#14582789C2211yescharacteristic, complemented
105#14582787C2211yescharacteristic, complemented
106#14582786C2211yescharacteristic, complemented
107#14582785C2211yescharacteristic, complemented
108#14582785C2211yescharacteristic, complemented
109#14582784C2211yescharacteristic, complemented
110#14582784C2211yescharacteristic, complemented
111#14582783C2211yescharacteristic, complemented
112#14582782C2211yescharacteristic, complemented
113#14582781C2211yescharacteristic, complemented
114#14582781C2211yescharacteristic, complemented
115#14582780C2211yescharacteristic, complemented
116#14582780C2211yescharacteristic, complemented
117#14582779C2211yescharacteristic
118#14582779C2211yescharacteristic
119#14582778C2211yescharacteristic
120#14582778C2211yescharacteristic
121#14582778C2211yescharacteristic
122#14582777C2211yescharacteristic
123#14582777C2211yescharacteristic
124#14582777C2211yescharacteristic
125#14582777C2211yescharacteristic
126#14582777C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582776C2211yescharacteristic
129#14582775C2211yescharacteristic
130#14582775C2211yescharacteristic
131#14582775C2211yescharacteristic
132#14582775C2211yescharacteristic
133#14582775C2211yescharacteristic
134#14582775C2211yescharacteristic
135#14582774C2211yescharacteristic
136#14582773C2211yescharacteristic
137#14582773C2211yescharacteristic
138#14582773C2211yescharacteristic, complemented
139#14582772C2211yescharacteristic
140#14582772C2211yescharacteristic, complemented
141#14582771C2211yescharacteristic
142#14582771C2211yescharacteristic
143#14582771C2211yescharacteristic
144#14582771C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic, complemented
156#14582761C2211yescharacteristic
157#14582761C2211yescharacteristic
158#14582761C2211yescharacteristic
159#14582761C2211yescharacteristic
160#14582759C2211yescharacteristic
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582757C2211yescharacteristic
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C4×(C2×D43)⋊C4C2211yescharacteristic
170C4×(C2×D43)⋊C4C2211yescharacteristic
171C4×C22⋊Dic43C2211yescharacteristic
172#14582746C2211yescharacteristic
173#14582746C2211yescharacteristic
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C2×C4×D4×C43C2211yescharacteristic
177C22×C4⋊C4×C43C2211yescharacteristic
178C43×#399C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#396C2211yescharacteristic, complemented
181C43×#395C2211yescharacteristic, complemented
182C43×#389C2211yescharacteristic, complemented
183C43×#387C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#385C2211yescharacteristic
187C43×#385C2211yescharacteristic
188C43×#385C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43—24no—
200C22×C4×D43—24no—
201C22×C4×D43—24no—
202C22×C4×D43—24no—
203C22×C4×D43—24no—
204C22×C4×D43—42no—
205C22×C4×D43—42no—
206C22×C4×D43—42no—
207C22×C4×D43—42no—
208C22×C4×D43C2311yescharacteristic
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
221#13063320—24no—
222#13063318—24no—
223#13063315—24no—
224#13063315—24no—
225#13063310—24no—
226#13063310—24no—
227#13063308—24no—
228#13063307—24no—
229#13063307—24no—
230#13063307—24no—
231#13063301—24no—
232#13063301—24no—
233#13063301—42no—
234#13063298—24no—
235#13063298—42no—
236#13063297—42no—
237#13063295—24no—
238#13063293—24no—
239#13063287—24no—
240#13063287—42no—
241C4×C22⋊D43—24no—
242C4×C22⋊D43—42no—
243(C22⋊D43)⋊C4—42no—
244C2×C4⋊Dic43—24no—
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×Dic43⋊C4—24no—
254C2×Dic43⋊C4—24no—
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×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C4⋊C4×D43—24no—
278C4⋊C4×D43—24no—
279C4⋊C4×D43—24no—
280C4⋊C4×D43—24no—
281C4⋊C4×D43—24no—
282C4⋊C4×D43—24no—
283C4⋊C4×D43—24no—
284C4⋊C4×D43D418yescomplemented
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×C22⋊Dic43C2311yescharacteristic
292C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
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
352C22×Q8×C43C2311yescharacteristic
353C22×D4×C43C2311yescharacteristic
354C23×C4×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C22⋊Q8×C43—24no—
359C22⋊Q8×C43—42no—
360C4×D4×C43—42no—
361C2×C4⋊C4×C43—24no—
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×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C42×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43#4114yes—
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C2×Q8×C43—22no—
404C2×Q8×C43—41no—
405C2×Q8×C43—41no—
406C2×D4×C43—22no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—22no—
414C22×C4×C43—22no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43—41no—
421C22×C4×C43C2411yescharacteristic
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
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—22no—
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—41no—
445C2×C22⋊D43—41no—
446C22×Dic43—22no—
447C22×Dic43—22no—
448C22×Dic43—22no—
449C22×Dic43—22no—
450C22×Dic43—22no—
451C22×Dic43—22no—
452C22×Dic43—22no—
453C22×Dic43—41no—
454C22×Dic43—41no—
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462C22×Dic43C2411yescharacteristic
463C22×Dic43C2411yescharacteristic
464C22×Dic43C2411yescharacteristic
465C22×Dic43C2411yescharacteristic
466C22×Dic43C2411yescharacteristic
467C22×Dic43C2411yescharacteristic
468C2×D172—22no—
469C2×D172—22no—
470C2×D172—22no—
471C2×D172—22no—
472C2×D172—22no—
473C2×D172—22no—
474C2×C4×D43—232no—
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—41no—
497C2×C4×D43—41no—
498C2×C4×D43—41no—
499C2×C4×D43—41no—
500C2×C4×D43—41no—
501C2×C4×D43—41no—
502C2×C4×D43—41no—
503C2×C4×D43—41no—
504C2×C4×D43—41no—
505C2×C4×D43—41no—
506C2×C4×D43—41no—
507C2×C4×D43—41no—
508C2×C4×D43—416no—
509C2×C4×D43—416no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43C2×D414yes—
513C2×C4×D43C2×D414yes—
514C2×C4×D43C2×D414yes—
515C2×C4×D43#4114yes—
516C4⋊C4×C43—22no—
517C4⋊C4×C43—22no—
518C4⋊C4×C43—22no—
519C4⋊C4×C43—22no—
520C4⋊C4×C43—22no—
521C4⋊C4×C43—22no—
522C4⋊C4×C43—41no—
523C4⋊C4×C43—41no—
524C4⋊C4×C43—41no—
525C4⋊C4×C43—41no—
526C4⋊C4×C43—41no—
527C4⋊C4×C43C2×D414yes—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43—22no—
533C22⋊C4×C43—22no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C42×C43—41no—
537C22⋊Dic43—22no—
538C22⋊Dic43—22no—
539C22⋊Dic43—22no—
540C22⋊Dic43—22no—
541C22⋊Dic43—22no—
542C22⋊Dic43—22no—
543C22⋊Dic43—41no—
544C22⋊Dic43—41no—
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—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—41no—
564(C2×D43)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4—41no—
567C4⋊Dic43—22no—
568C4⋊Dic43—22no—
569C4⋊Dic43—22no—
570C4⋊Dic43—22no—
571C4⋊Dic43—22no—
572C4⋊Dic43—22no—
573C4⋊Dic43—41no—
574C4⋊Dic43C2×D414yes—
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—22no—
586Dic43⋊C4—22no—
587Dic43⋊C4—22no—
588Dic43⋊C4—22no—
589Dic43⋊C4—41no—
590Dic43⋊C4—41no—
591Dic43⋊C4—41no—
592Dic43⋊C4—41no—
593Dic43⋊C4—41no—
594Dic43⋊C4—41no—
595Dic43⋊C4C2×D414yes—
596Dic43⋊C4C2×D414yes—
597C4×Dic43—22no—
598C4×Dic43—22no—
599C4×Dic43—41no—
600C4×Dic43—41no—
601C4×Dic43—41no—
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×C43C2×#4112yes—
614C23×C43H(5,𝔽2)12yes—
615C23×C432−1+412yes—
616C23×C43C2511yescharacteristic
617C22×D43—28no—
618C22×D43—28no—
619C22×D43—28no—
620C22×D43—28no—
621C22×D43—28no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—28no—
631C22×D43—28no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43C22×D412yes—
640C22×D43C2×#4112yes—
641C22×D43C2×#4112yes—
642C22×D43C2×#4112yes—
643C22×D43H(5,𝔽2)12yes—
644C22×D432−1+412yes—
645Q8×C43—82no—
646D4×C43—44no—
647C2×C4×C43—28no—
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—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—44no—
684C2×C4×C43—44no—
685C2×C4×C43—82no—
686C2×C4×C43C22×D412yes—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C22×D412yes—
689C2×C4×C43C2×#4112yes—
690C22⋊D43—44no—
691C22⋊D43—44no—
692C22⋊D43—44no—
693C22⋊D43—82no—
694C2×Dic43—28no—
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—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—44no—
731C2×Dic43—44no—
732C2×Dic43C22×D412yes—
733C2×Dic43C22×D412yes—
734C2×Dic43C22×D412yes—
735C2×Dic43C2×#4112yes—
736D172—44no—
737D172—44no—
738C4×D43—28no—
739C4×D43—28no—
740C4×D43—28no—
741C4×D43—28no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—44no—
745C4×D43—44no—
746C4×D43—44no—
747C4×D43—44no—
748C4×D43—44no—
749C4×D43—44no—
750C4×D43—82no—
751#34989—431nomaximal, Sylow
752C22×C43—22no—
753C22×C43—22no—
754C22×C43—22no—
755C22×C43—22no—
756C22×C43—22no—
757C22×C43—22no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43#53914yescomplemented
766C22×C43C23×D411yescharacteristic
767C22×C43C22×#4111yescharacteristic
768C22×C43C22×#4111yescharacteristic
769C22×C43C2×H(5,𝔽2)11yescharacteristic
770C22×C43C2×H(5,𝔽2)11yescharacteristic
771C22×C43C2×2−1+411yescharacteristic
772C22×C43C2×2−1+411yescharacteristic
773C2×D43—232no—
774C2×D43—22no—
775C2×D43—22no—
776C2×D43—22no—
777C2×D43—22no—
778C2×D43—22no—
779C2×D43—22no—
780C2×D43—22no—
781C2×D43—22no—
782C2×D43—22no—
783C2×D43—22no—
784C2×D43—22no—
785C2×D43—22no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43#52514yes—
794C2×D43#53914yescomplemented
795C4×C43—22no—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—41no—
800C4×C43—41no—
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—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821C2×#539—431no—
822C23×C4⋊C4—431no—
823#2849—431no—
824#2849—431no—
825#2848—431no—
826#2847—431no—
827#2627—431no—
828#2623—431no—
829#2623—431no—
830#2618—431no—
831#2481—431no—
832#2481—431no—
833#2481—431no—
834#2481—431no—
835#2473—431no—
836#2473—431no—
837#2473—431no—
838#2473—431no—
839#2449—431no—
840#2449—431no—
841#2449—431no—
842#2449D4311yescharacteristic, complemented
843#2443—431no—
844#2443—431no—
845#2443—431no—
846#2443—431no—
847#2322—431no—
848#2322—431no—
849#2313—431no—
850C4×#120—431no—
851C4×#120—431no—
852C2×C43—24no—
853C2×C43—81no—
854C2×C43C2×#52511yescharacteristic
855C2×C43C2×#53911yescharacteristic
856C2×C43C2×#53911yescharacteristic
857C2×C43#348411yescharacteristic
858C2×C43#348611yescharacteristic
859C2×C43#349211yescharacteristic
860C2×C43#349211yescharacteristic
861D43—24no—
862D43—24no—
863D43—81no—
864C24×C4—431no—
865C24×C4—431no—
866C24×C4—431no—
867#539—868no—
868C2×#126—431no—
869C2×#126—431no—
870C2×#125—431no—
871C2×#125—431no—
872C2×#123—431no—
873C2×#123—431no—
874C2×#123—431no—
875C2×#123—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×C22⋊Q8—431no—
879C2×C22⋊Q8—431no—
880C2×C22⋊Q8—431no—
881C2×C22⋊Q8C2×D4311yescharacteristic
882C2×C22⋊Q8C2×D4311yescharacteristic, complemented
883C2×#121—431no—
884C2×#121—431no—
885C2×#121—431no—
886C2×#120—431no—
887C2×#120—431no—
888C2×C4×D4—431no—
889C2×C4×D4—431no—
890C2×C4×D4—431no—
891C2×C4×D4—431no—
892C2×C4×D4—431no—
893C2×C4×D4C2×D4311yescharacteristic
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—431no—
903C22×C4⋊C4—431no—
904C22×C4⋊C4—431no—
905C22×C4⋊C4—868no—
906C22×C4⋊C4C2×D4311yescharacteristic
907#400—431no—
908#400—431no—
909#400—431no—
910#400—431no—
911#400—431no—
912#400—431no—
913#399—431no—
914#399—431no—
915#399—431no—
916#399C2×D4311yescharacteristic, complemented
917#398—431no—
918#398—431no—
919#398—431no—
920#398—431no—
921#398—431no—
922#398—431no—
923#398—431no—
924#398—431no—
925#398—431no—
926#398C2×D4311yescharacteristic, complemented
927#397—431no—
928#397—431no—
929#397—431no—
930#397—431no—
931#396—431no—
932#396—431no—
933#396—431no—
934#396C2×D4311yescharacteristic, complemented
935#395—431no—
936#395C2×D4311yescharacteristic, complemented
937#394—431no—
938#394—431no—
939#389—431no—
940#389—431no—
941#389—431no—
942#389C2×D4311yescharacteristic, complemented
943#388—431no—
944#388—431no—
945#388—431no—
946#388—431no—
947#387—431no—
948#387—431no—
949#387—431no—
950#387—431no—
951#387—431no—
952#387—431no—
953#387—431no—
954#387—431no—
955#387—431no—
956#387—431no—
957#387—431no—
958#387C2×D4311yescharacteristic, complemented
959#386—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#386—431no—
968#386—431no—
969#386—431no—
970#386—431no—
971#386—431no—
972#386—431no—
973#386—431no—
974#386—431no—
975#386—431no—
976#386—431no—
977#386C2×D4311yescharacteristic
978#386C2×D4311yescharacteristic
979#385—431no—
980#385—431no—
981#385—431no—
982#385—431no—
983#385—431no—
984#385—431no—
985#385—431no—
986#385—431no—
987#385—431no—
988#385—431no—
989#385—431no—
990#385—431no—
991#385—431no—
992#385—431no—
993#385—431no—
994#385—431no—
995#385—431no—
996#385—431no—
997#385—431no—
998#385—431no—
999#385—431no—
1000#385C2×D4311yescharacteristic
1001#385C2×D4311yescharacteristic
1002#385C2×D4311yescharacteristic, complemented
1003#381—431no—
1004#381—431no—
1005#381—431no—
1006#381—431no—
1007#380—431no—
1008#380—431no—
1009#380—431no—
1010#380—431no—
1011#380—431no—
1012#380—431no—
1013#379—431no—
1014#379—431no—
1015C4×C22⋊C4—431no—
1016C4×C22⋊C4—431no—
1017C4×C22⋊C4—431no—
1018C4×C22⋊C4—431no—
1019C4×C22⋊C4—431no—
1020C4×C22⋊C4—431no—
1021C43#3498911yescharacteristic, complemented, Sylow
1022C25—431no—
1023C22×Q8C22×D4311yescharacteristic
1024C22×D4—431no—
1025C22×D4—431no—
1026C22×D4—431no—
1027C22×D4—431no—
1028C22×D4—431no—
1029C22×D4—431no—
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—864no—
1050C23×C4—864no—
1051C23×C4—864no—
1052C23×C4—1722no—
1053C23×C4—1722no—
1054C23×C4—1722no—
1055C23×C4—1722no—
1056C23×C4C22×D4311yescharacteristic
1057C23×C4C22×D4311yescharacteristic
1058C23×C4C22×D4311yescharacteristic
1059C23×C4C22×D4311yescharacteristic
1060#126—864no—
1061#126—864no—
1062#125—864no—
1063#125—864no—
1064#123—864no—
1065#123—864no—
1066#123—864no—
1067#123—864no—
1068#123—864no—
1069#123—864no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—864no—
1073C22⋊Q8—864no—
1074C22⋊Q8—1722no—
1075#121—864no—
1076#121—1722no—
1077#121—1722no—
1078#120—864no—
1079#120—864no—
1080C4×D4—42no—
1081C4×D4—864no—
1082C4×D4—864no—
1083C4×D4—1722no—
1084C4×D4—1722no—
1085C4×D4—1722no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—438no—
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—431no—
1110C2×C4⋊C4—431no—
1111C2×C4⋊C4—431no—
1112C2×C4⋊C4—431no—
1113C2×C4⋊C4—431no—
1114C2×C4⋊C4—431no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—431no—
1117C2×C4⋊C4—431no—
1118C2×C4⋊C4—864no—
1119C2×C4⋊C4—864no—
1120C2×C4⋊C4—864no—
1121C2×C4⋊C4—864no—
1122C2×C4⋊C4—864no—
1123C2×C4⋊C4—864no—
1124C2×C4⋊C4—864no—
1125C2×C4⋊C4—864no—
1126C2×C4⋊C4—864no—
1127C2×C4⋊C4—864no—
1128C2×C4⋊C4C22×D4311yescharacteristic
1129C2×C4⋊C4C22×D4311yescharacteristic
1130C2×C4⋊C4C22×D4311yescharacteristic
1131C2×C4⋊C4C22×D4311yescharacteristic
1132C2×C4⋊C4C22×D4311yescharacteristic
1133C2×C4⋊C4C22×D4311yescharacteristic
1134C2×C4⋊C4C22×D4311yescharacteristic
1135C2×C4⋊C4C22×D4311yescharacteristic
1136C2×C4⋊C4C22×D4311yescharacteristic
1137C2×C4⋊C4C22×D4311yescharacteristic
1138C2×C4⋊C4C22×D4311yescharacteristic
1139C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
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×C22⋊C4C22×D4311yescharacteristic
1177C2×C22⋊C4C22×D4311yescharacteristic
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—431no—
1183C2×C42C22×D4311yescharacteristic
1184#95—431no—
1185#95—431no—
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#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—431no—
1226C24—434no—
1227C24—431no—
1228C24—862no—
1229C24—862no—
1230C24—862no—
1231C24—862no—
1232C24—862no—
1233C24—862no—
1234C24C23×D4311yescharacteristic
1235C24C23×D4311yescharacteristic
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—41no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—862no—
1243C2×D4—862no—
1244C2×D4—862no—
1245C2×D4—862no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—862no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—1721no—
1259C2×D4—1721no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—431no—
1275C22×C4—431no—
1276C22×C4—434no—
1277C22×C4—434no—
1278C22×C4—434no—
1279C22×C4—434no—
1280C22×C4—431no—
1281C22×C4—431no—
1282C22×C4—431no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—431no—
1288C22×C4—431no—
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—8632no—
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—862no—
1318C22×C4—1721no—
1319C22×C4—1721no—
1320C22×C4—1721no—
1321C22×C4—1721no—
1322C22×C4—1721no—
1323C22×C4—1721no—
1324C22×C4—1721no—
1325C22×C4—1721no—
1326C22×C4—1721no—
1327C22×C4—1721no—
1328C22×C4—1721no—
1329C22×C4—1721no—
1330C22×C4—1721no—
1331C22×C4—1721no—
1332C22×C4—17216no—
1333C22×C4—17216no—
1334C22×C4—1721no—
1335C22×C4—1721no—
1336C22×C4C23×D4311yescharacteristic
1337C22×C4C23×D4311yescharacteristic
1338C22×C4C23×D4311yescharacteristic
1339C22×C4C23×D4311yescharacteristic
1340C22×C4C23×D4311yescharacteristic
1341C22×C4C23×D4311yescharacteristic
1342C22×C4C23×D4311yescharacteristic
1343C22×C4C23×D4311yescharacteristic
1344C22×C4C23×D4311yescharacteristic
1345C22×C4C23×D4311yescharacteristic
1346C22×C4C23×D4311yescharacteristic
1347C22×C4C23×D4311yescharacteristic
1348C22×C4C23×D4311yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—434no—
1361C4⋊C4—434no—
1362C4⋊C4—434no—
1363C4⋊C4—862no—
1364C4⋊C4—862no—
1365C4⋊C4—862no—
1366C4⋊C4—862no—
1367C4⋊C4—862no—
1368C4⋊C4—862no—
1369C4⋊C4—862no—
1370C4⋊C4—862no—
1371C4⋊C4—862no—
1372C4⋊C4—862no—
1373C4⋊C4—862no—
1374C4⋊C4—862no—
1375C4⋊C4—862no—
1376C4⋊C4—862no—
1377C4⋊C4—862no—
1378C4⋊C4—862no—
1379C4⋊C4—862no—
1380C4⋊C4—862no—
1381C4⋊C4—862no—
1382C4⋊C4—862no—
1383C4⋊C4—1721no—
1384C4⋊C4—1721no—
1385C4⋊C4—1721no—
1386C4⋊C4—1721no—
1387C4⋊C4—1721no—
1388C4⋊C4—1721no—
1389C4⋊C4—1721no—
1390C4⋊C4D4×D4314yes—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
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—862no—
1416C22⋊C4—862no—
1417C22⋊C4—862no—
1418C22⋊C4—862no—
1419C22⋊C4—862no—
1420C22⋊C4—862no—
1421C22⋊C4—862no—
1422C22⋊C4—862no—
1423C22⋊C4—1721no—
1424C22⋊C4—1721no—
1425C22⋊C4—1721no—
1426C22⋊C4—1721no—
1427C22⋊C4—1721no—
1428C22⋊C4—1721no—
1429C42—41no—
1430C42—862no—
1431C42—862no—
1432C42—1721no—
1433C42—1721no—
1434C42—1721no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—432no—
1447C23—432no—
1448C23—432no—
1449C23—432no—
1450C23—432no—
1451C23—432no—
1452C23—868no—
1453C23—868no—
1454C23—868no—
1455C23—868no—
1456C23—868no—
1457C23—868no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—868no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—861no—
1472C23—861no—
1473C23—861no—
1474C23#41×D4312yes—
1475C23#1306337012yes—
1476C23#1306337312yes—
1477C23C24×D4311yescharacteristic
1478Q8—82no—
1479D4—44no—
1480D4—3442no—
1481D4—1724no—
1482D4—1724no—
1483D4—1724no—
1484D4—1724no—
1485D4—1724no—
1486C2×C4—28no—
1487C2×C4—21no—
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—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—432no—
1526C2×C4—432no—
1527C2×C4—432no—
1528C2×C4—432no—
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—861no—
1568C2×C4—861no—
1569C2×C4—3442no—
1570C2×C4—1724no—
1571C2×C4—1724no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4—1724no—
1576C2×C4—1724no—
1577C2×C4—1724no—
1578C2×C4—1724no—
1579C2×C4—1724no—
1580C2×C4C2×D4×D4312yes—
1581C2×C4C2×D4×D4312yes—
1582C2×C4C2×D4×D4312yes—
1583C2×C4#41×D4312yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—434no—
1598C22—434no—
1599C22—8632no—
1600C22—862no—
1601C22—862no—
1602C22—862no—
1603C22—862no—
1604C22—862no—
1605C22—862no—
1606C22—862no—
1607C22—862no—
1608C22—862no—
1609C22—862no—
1610C22—862no—
1611C22—862no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22#1458349514yescomplemented
1620C22C22×D4×D4311yescharacteristic
1621C22C2×#41×D4311yescharacteristic
1622C22C2×#41×D4311yescharacteristic
1623C22H(5,𝔽2)×D4311yescharacteristic
1624C22C2×#1306337011yescharacteristic
1625C222−1+4×D4311yescharacteristic
1626C22C2×#1306337311yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—862no—
1641C4—862no—
1642C4—862no—
1643C4—862no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C2—24no—
1654C2—81no—
1655C2—864no—
1656C2—864no—
1657C2—3441no—
1658C2#525×D4311yescharacteristic
1659C2#539×D4311yescharacteristic
1660C2C2×#1458349511yescharacteristic
1661C2#1914822311yescharacteristic
1662C2#1914824511yescharacteristic
1663C2#1914829711yescharacteristic
1664C2#1914830311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2449C2
prime radical#19142876C2
hypercenter#2449D43
hypocenterC43#34989
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#14583495C2semidirect
2. C22×C4⋊C4×D43C2semidirect
3. #19142890C2semidirect
4. #19142886C2semidirect
5. #19142879C2semidirect
7. #19140407C2semidirect
8. #19140380C2semidirect
9. #19140376C2semidirect
10. #19140342C2semidirect
11. #19138861C2semidirect
12. #19138857C2semidirect
13. #19138854C2semidirect
14. #19138850C2semidirect
15. #19138742C2semidirect
16. #19138738C2semidirect
17. #19138733C2semidirect
18. #19138729C2semidirect
19. #19138401C2semidirect
20. #19138400C2semidirect
21. #19138397C2semidirect
22. #19138336C2semidirect
23. #19138333C2semidirect
24. #19138329C2semidirect
25. #19138324C2semidirect
26. #19137262C2semidirect
27. #19137259C2semidirect
28. #19137194C2semidirect
29. #19137096C2semidirect
30. C4×#13063293C2semidirect
31. C43×#2449C2semidirect
36. C2×#13063320C22semidirect
37. C2×#13063318C22semidirect
38. C2×#13063315C22semidirect
39. C2×#13063315C22semidirect
42. C2×#13063308C22semidirect
45. C2×#13063307C22semidirect
48. C2×#13063301C22semidirect
71. #14582840C22semidirect
72. #14582840C22semidirect
73. #14582839C22semidirect
74. #14582839C22semidirect
75. #14582838C22semidirect
76. #14582837C22semidirect
77. #14582835C22semidirect
78. #14582834C22semidirect
79. #14582834C22semidirect
80. #14582833C22semidirect
81. #14582833C22semidirect
82. #14582833C22semidirect
83. #14582832C22semidirect
84. #14582832C22semidirect
85. #14582832C22semidirect
86. #14582830C22semidirect
87. #14582830C22semidirect
88. #14582829C22semidirect
89. #14582827C22semidirect
90. #14582827C22semidirect
91. #14582826C22semidirect
92. #14582825C22semidirect
93. #14582822C22semidirect
94. #14582821C22semidirect
95. #14582821C22semidirect
96. #14582818C22semidirect
97. #14582815C22semidirect
98. #14582814C22semidirect
99. #14582796C22semidirect
100. #14582795C22semidirect
101. #14582794C22semidirect
102. #14582792C22semidirect
103. #14582790C22semidirect
104. #14582789C22semidirect
105. #14582787C22semidirect
106. #14582786C22semidirect
107. #14582785C22semidirect
108. #14582785C22semidirect
109. #14582784C22semidirect
110. #14582784C22semidirect
111. #14582783C22semidirect
112. #14582782C22semidirect
113. #14582781C22semidirect
114. #14582781C22semidirect
115. #14582780C22semidirect
116. #14582780C22semidirect
138. #14582773C22semidirect
140. #14582772C22semidirect
155. #14582770C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
178. C43×#399C22semidirect
179. C43×#398C22semidirect
180. C43×#396C22semidirect
181. C43×#395C22semidirect
182. C43×#389C22semidirect
183. C43×#387C22semidirect
188. C43×#385C22semidirect
284. C4⋊C4×D43D4semidirect
765. C22×C43#539semidirect
794. C2×D43#539semidirect
842. #2449D43semidirect
882. C2×C22⋊Q8C2×D43semidirect
916. #399C2×D43semidirect
926. #398C2×D43semidirect
934. #396C2×D43semidirect
936. #395C2×D43semidirect
942. #389C2×D43semidirect
958. #387C2×D43semidirect
1002. #385C2×D43semidirect
1021. C43#34989semidirect
1619. C22#14583495semidirect

Maximal subgroups

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

subgroupindex
C2×#145834952
C22×C4⋊C4×D432
#191428902
#191428862
#191428792
#191428762
#191404072
#191403802
#191403762
#191403422
#191388612
#191388572
#191388542
#191388502
#191387422
#191387382
#191387332
#191387292
#191384012
#191384002
#191383972
#191383362
#191383332
#191383292
#191383242
#191372622
#191372592
#191371942
#191370962
C4×#130632932
C43×#24492
#3498943