Finite Group Databasebeta

← #25303958

Subgroups — #25303958

Order 11008.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583464C211yesmaximal, characteristic, complemented
2C2×#14583459C211yesmaximal, characteristic, complemented
3#19142875C211yesmaximal, characteristic, complemented
4#19142875C211yesmaximal, characteristic, complemented
5#19141429C211yesmaximal, characteristic, complemented
6#19141321C211yesmaximal, characteristic, complemented
7#19141312C211yesmaximal, characteristic, complemented
8#19141306C211yesmaximal, characteristic, complemented
9#19141030C211yesmaximal, characteristic, complemented
10#19141024C211yesmaximal, characteristic, complemented
11#19141000C211yesmaximal, characteristic, complemented
12#19140994C211yesmaximal, characteristic, complemented
13#19140970C211yesmaximal, characteristic, complemented
14#19140860C211yesmaximal, characteristic, complemented
15#19140854C211yesmaximal, characteristic, complemented
16#19140830C211yesmaximal, characteristic, complemented
17#19140824C211yesmaximal, characteristic, complemented
18#19140806C211yesmaximal, characteristic, complemented
19#19140802C211yesmaximal, characteristic, complemented
20#19140797C211yesmaximal, characteristic, complemented
21#19140329C211yesmaximal, characteristic, complemented
22#19139037C211yesmaximal, characteristic, complemented
23#19139035C211yesmaximal, characteristic, complemented
24#19138203C211yesmaximal, characteristic, complemented
25#19138201C211yesmaximal, characteristic, complemented
26#19137990C211yesmaximal, characteristic, complemented
27#19137988C211yesmaximal, characteristic, complemented
28#19137968C211yesmaximal, characteristic, complemented
29#19137966C211yesmaximal, characteristic, complemented
30C2×#14582776C211yesmaximal, characteristic, complemented
31C43×#2617C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic, complemented
33C23×C22⋊D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C24×Dic43C2211yescharacteristic, complemented
36#14583464—28no—
37#14583459—28no—
38C2×#13063321C2211yescharacteristic
39C2×#13063321C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic
41C2×#13063311C2211yescharacteristic, complemented
42C2×#13063310C2211yescharacteristic, complemented
43C2×#13063309C2211yescharacteristic
44C2×#13063307C2211yescharacteristic
45C2×#13063307C2211yescharacteristic
46C2×#13063307C2211yescharacteristic, complemented
47C2×#13063306C2211yescharacteristic
48C2×#13063299C2211yescharacteristic
49C2×#13063298C2211yescharacteristic
50C2×#13063298C2211yescharacteristic
51C2×#13063298C2211yescharacteristic
52C2×#13063298C2211yescharacteristic, complemented
53C2×#13063297C2211yescharacteristic
54C2×#13063297C2211yescharacteristic
55C2×#13063297C2211yescharacteristic
56C2×#13063297C2211yescharacteristic, complemented
57C2×#13063297C2211yescharacteristic, complemented
58C2×#13063297C2211yescharacteristic, complemented
59C2×#13063297C2211yescharacteristic, complemented
60C2×#13063297C2211yescharacteristic, complemented
61C2×#13063296C2211yescharacteristic
62C2×#13063296C2211yescharacteristic
63C2×#13063295C2211yescharacteristic
64C2×#13063295C2211yescharacteristic, complemented
65C2×#13063294C2211yescharacteristic
66C2×#13063294C2211yescharacteristic, complemented
67C2×#13063293C2211yescharacteristic
68C2×#13063293C2211yescharacteristic
69C2×#13063293C2211yescharacteristic
70C2×#13063293C2211yescharacteristic, complemented
71C2×#13063281C2211yescharacteristic, complemented
72C22×(C2×D43)⋊C4C2211yescharacteristic
73C22×(C2×D43)⋊C4C2211yescharacteristic
74C2×C22⋊C4×D43C2211yescharacteristic
75#14582841C2211yescharacteristic, complemented
76#14582840C2211yescharacteristic, complemented
77#14582835C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582826C2211yescharacteristic, complemented
86#14582825C2211yescharacteristic, complemented
87#14582824C2211yescharacteristic, complemented
88#14582824C2211yescharacteristic, complemented
89#14582820C2211yescharacteristic, complemented
90#14582819C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic, complemented
92#14582817C2211yescharacteristic, complemented
93#14582816C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582815C2211yescharacteristic, complemented
98#14582815C2211yescharacteristic, complemented
99#14582815C2211yescharacteristic, complemented
100#14582815C2211yescharacteristic, complemented
101#14582815C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582814C2211yescharacteristic, complemented
104#14582814C2211yescharacteristic, complemented
105#14582812C2211yescharacteristic, complemented
106#14582811C2211yescharacteristic, complemented
107#14582809C2211yescharacteristic, complemented
108#14582808C2211yescharacteristic, complemented
109#14582808C2211yescharacteristic, complemented
110#14582808C2211yescharacteristic, complemented
111#14582808C2211yescharacteristic, complemented
112#14582808C2211yescharacteristic, complemented
113#14582807C2211yescharacteristic, complemented
114#14582807C2211yescharacteristic, complemented
115#14582793C2211yescharacteristic, complemented
116#14582792C2211yescharacteristic, complemented
117#14582789C2211yescharacteristic, complemented
118#14582788C2211yescharacteristic, complemented
119#14582786C2211yescharacteristic, complemented
120#14582785C2211yescharacteristic, complemented
121#14582782C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582779C2211yescharacteristic
124#14582779C2211yescharacteristic, complemented
125#14582779C2211yescharacteristic, complemented
126#14582779C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic, complemented
128#14582779C2211yescharacteristic, complemented
129#14582779C2211yescharacteristic, complemented
130#14582778C2211yescharacteristic
131#14582778C2211yescharacteristic, complemented
132#14582777C2211yescharacteristic, complemented
133#14582777C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic, complemented
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic
138#14582776C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic, complemented
141#14582776C2211yescharacteristic, complemented
142#14582776C2211yescharacteristic, complemented
143#14582776C2211yescharacteristic, complemented
144#14582776C2211yescharacteristic, complemented
145#14582776C2211yescharacteristic, complemented
146#14582776C2211yescharacteristic, complemented
147#14582776C2211yescharacteristic, complemented
148#14582776C2211yescharacteristic, complemented
149#14582776C2211yescharacteristic, complemented
150#14582775C2211yescharacteristic, complemented
151#14582775C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic, complemented
153#14582774C2211yescharacteristic, complemented
154#14582773C2211yescharacteristic, complemented
155#14582773C2211yescharacteristic, complemented
156#14582773C2211yescharacteristic, complemented
157#14582771C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582761C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic, complemented
163#14582759C2211yescharacteristic, complemented
164#14582757C2211yescharacteristic, complemented
165#14582757C2211yescharacteristic, complemented
166#14582757C2211yescharacteristic, complemented
167#14582757C2211yescharacteristic, complemented
168#14582757C2211yescharacteristic, complemented
169#14582757C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic, complemented
172C2×C43⋊#95C2211yescharacteristic, complemented
173C2×C43⋊#95C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×#120×C43C2211yescharacteristic
176C2×#120×C43C2211yescharacteristic, complemented
177C22×C22⋊C4×C43C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic, complemented
182C43×#394C2211yescharacteristic, complemented
183C43×#394C2211yescharacteristic, complemented
184C43×#392C2211yescharacteristic, complemented
185C43×#392C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic
187C43×#386C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C2×#10621900—24no—
192C2×#10621900—42no—
193C2×#10621900—42no—
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×C22⋊D43—42no—
200C22×C22⋊D43—42no—
201C22×C22⋊D43D418yescomplemented
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C22×C22⋊D43C2311yescharacteristic
215C22×C22⋊D43C2311yescharacteristic
216C22×C22⋊D43C2311yescharacteristic
217C22×C22⋊D43C2311yescharacteristic
218C2×D4×D43—24no—
219C2×D4×D43—42no—
220C2×D4×D43—42no—
221C23×Dic43—42no—
222C23×Dic43—42no—
223C23×Dic43—42no—
224C23×Dic43C2311yescharacteristic
225C23×Dic43C2311yescharacteristic
226C23×Dic43C2311yescharacteristic
227C23×Dic43C2311yescharacteristic
228C23×Dic43C2311yescharacteristic
229C23×Dic43C2311yescharacteristic
230C23×Dic43C2311yescharacteristic
231C23×Dic43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234C22×C4×D43C2311yescharacteristic
235C22×C4×D43C2311yescharacteristic
236#13063321—24no—
237#13063321—24no—
238#13063311—24no—
239#13063311—24no—
240#13063310—42no—
241#13063309—24no—
242#13063307—24no—
243#13063307—24no—
244#13063307—42no—
245#13063306—24no—
246#13063299—42no—
247#13063298—24no—
248#13063298—24no—
249#13063298—24no—
250#13063298—24no—
251#13063297—24no—
252#13063297—24no—
253#13063297—42no—
254#13063297—42no—
255#13063297—42no—
256#13063297—42no—
257#13063297—42no—
258#13063297—42no—
259#13063296—24no—
260#13063296—24no—
261#13063295—24no—
262#13063295—42no—
263#13063294—24no—
264#13063294—24no—
265#13063293—24no—
266#13063293—24no—
267#13063293—24no—
268#13063293—42no—
269#13063281—24no—
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×C4⋊Dic43C2311yescharacteristic
273C2×C4⋊Dic43C2311yescharacteristic
274C2×C4⋊Dic43C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
294C2×C22⋊Dic43C2311yescharacteristic
295C2×C22⋊Dic43C2311yescharacteristic
296C2×C22⋊Dic43C2311yescharacteristic
297C2×C22⋊Dic43C2311yescharacteristic
298C2×C22⋊Dic43C2311yescharacteristic
299C2×(C2×D43)⋊C4—42no—
300C2×(C2×D43)⋊C4—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C22⋊C4×D43—24no—
330C2×C4×Dic43C2311yescharacteristic
331C2×C4×Dic43C2311yescharacteristic
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
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C25×C43C2311yescharacteristic
359C22×D4×C43C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C22×D4×C43C2311yescharacteristic
364C22×D4×C43C2311yescharacteristic
365C22×D4×C43C2311yescharacteristic
366C23×C4×C43C2311yescharacteristic
367C23×C4×C43C2311yescharacteristic
368#121×C43—42no—
369#120×C43—24no—
370#120×C43—24no—
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43—42no—
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×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C22⋊C4×C43C2311yescharacteristic
387C2×C22⋊C4×C43C2311yescharacteristic
388C2×C22⋊C4×C43C2311yescharacteristic
389C2×C22⋊C4×C43C2311yescharacteristic
390C2×C22⋊C4×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43—22no—
398C24×C43—22no—
399C24×C43—41no—
400C24×C43—41no—
401C24×C43—41no—
402C24×C43—41no—
403C24×C43C2×D414yes—
404C24×C43C2411yescharacteristic
405C24×C43C2411yescharacteristic
406C24×C43C2411yescharacteristic
407C24×C43C2411yescharacteristic
408C24×C43C2411yescharacteristic
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—41no—
413C23×D43—41no—
414C23×D43—41no—
415C23×D43—41no—
416C23×D43—41no—
417C23×D43—41no—
418C23×D43—41no—
419C23×D43—41no—
420C23×D43—41no—
421C23×D43—41no—
422C23×D43C2×D414yes—
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C23×D43C2411yescharacteristic
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—22no—
433C2×D4×C43—22no—
434C2×D4×C43—22no—
435C2×D4×C43—22no—
436C2×D4×C43—22no—
437C2×D4×C43—41no—
438C2×D4×C43—41no—
439C2×D4×C43—41no—
440C2×D4×C43—41no—
441C2×D4×C43—41no—
442C2×D4×C43—41no—
443C2×D4×C43—41no—
444C2×D4×C43—41no—
445C2×D4×C43—41no—
446C2×D4×C43—41no—
447C2×D4×C43—41no—
448C22×C4×C43—22no—
449C22×C4×C43—22no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C22×C4×C43C2411yescharacteristic
460C22×C4×C43C2411yescharacteristic
461C22×C4×C43C2411yescharacteristic
462C22×C4×C43C2411yescharacteristic
463C22×C4×C43C2411yescharacteristic
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—22no—
473C2×C22⋊D43—22no—
474C2×C22⋊D43—22no—
475C2×C22⋊D43—22no—
476C2×C22⋊D43—22no—
477C2×C22⋊D43—22no—
478C2×C22⋊D43—22no—
479C2×C22⋊D43—22no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—416no—
483C2×C22⋊D43—41no—
484C2×C22⋊D43—41no—
485C2×C22⋊D43—41no—
486C2×C22⋊D43—41no—
487C2×C22⋊D43—41no—
488C2×C22⋊D43—41no—
489C2×C22⋊D43—41no—
490C2×C22⋊D43—41no—
491C2×C22⋊D43—41no—
492C2×C22⋊D43—41no—
493C2×C22⋊D43—41no—
494C2×C22⋊D43—41no—
495C2×C22⋊D43—41no—
496C2×C22⋊D43—41no—
497C2×C22⋊D43—41no—
498C2×C22⋊D43—41no—
499C2×C22⋊D43—41no—
500C2×C22⋊D43—41no—
501C2×C22⋊D43—41no—
502C2×C22⋊D43—41no—
503C2×C22⋊D43—41no—
504C2×C22⋊D43—41no—
505C2×C22⋊D43—41no—
506C2×C22⋊D43—41no—
507C2×C22⋊D43—41no—
508C2×C22⋊D43—41no—
509C2×C22⋊D43C2×D414yes—
510C2×C22⋊D43C2×D414yes—
511C2×C22⋊D43C2×D414yes—
512C2×C22⋊D43C2×D414yes—
513C22×Dic43—22no—
514C22×Dic43—22no—
515C22×Dic43—22no—
516C22×Dic43—22no—
517C22×Dic43—22no—
518C22×Dic43—22no—
519C22×Dic43—22no—
520C22×Dic43—22no—
521C22×Dic43—22no—
522C22×Dic43—22no—
523C22×Dic43—22no—
524C22×Dic43—41no—
525C22×Dic43—41no—
526C22×Dic43—41no—
527C22×Dic43—41no—
528C22×Dic43—41no—
529C22×Dic43—41no—
530C22×Dic43—41no—
531C22×Dic43—41no—
532C22×Dic43—41no—
533C22×Dic43—41no—
534C22×Dic43—41no—
535C22×Dic43—41no—
536C22×Dic43—416no—
537C22×Dic43C2×D414yes—
538C22×Dic43C2411yescharacteristic
539C22×Dic43C2411yescharacteristic
540C22×Dic43C2411yescharacteristic
541C22×Dic43C2411yescharacteristic
542C22×Dic43C2411yescharacteristic
543C22×Dic43C2411yescharacteristic
544C22×Dic43C2411yescharacteristic
545C22×Dic43C2411yescharacteristic
546C22×Dic43C2411yescharacteristic
547C22×Dic43C2411yescharacteristic
548C22×Dic43C2411yescharacteristic
549C22×Dic43C2411yescharacteristic
550#10621900—416no—
551D4×D43—416no—
552C2×D172—22no—
553C2×D172—22no—
554C2×D172—22no—
555C2×D172—41no—
556C2×D172—41no—
557C2×D172—41no—
558C2×D172—41no—
559C2×D172—41no—
560C2×D172—41no—
561C2×D172—41no—
562C2×D172—41no—
563C2×D172—41no—
564C2×C4×D43—22no—
565C2×C4×D43—22no—
566C2×C4×D43—22no—
567C2×C4×D43—22no—
568C2×C4×D43—41no—
569C2×C4×D43—41no—
570C2×C4×D43—41no—
571C2×C4×D43—41no—
572C2×C4×D43—41no—
573C2×C4×D43—41no—
574C2×C4×D43—41no—
575C2×C4×D43—41no—
576C2×Dic86—22no—
577C2×Dic86—41no—
578C2×Dic86—41no—
579C4⋊C4×C43—41no—
580C4⋊C4×C43—41no—
581C4⋊C4×C43—41no—
582C22⋊C4×C43—22no—
583C22⋊C4×C43—22no—
584C22⋊C4×C43—22no—
585C22⋊C4×C43—22no—
586C22⋊C4×C43—22no—
587C22⋊C4×C43—22no—
588C22⋊C4×C43—41no—
589C22⋊C4×C43—41no—
590C22⋊C4×C43—41no—
591C22⋊C4×C43—41no—
592C22⋊C4×C43—41no—
593C22⋊C4×C43—41no—
594C22⋊C4×C43—41no—
595C22⋊C4×C43—41no—
596C22⋊C4×C43—41no—
597C22⋊C4×C43—41no—
598C22⋊Dic43—22no—
599C22⋊Dic43—22no—
600C22⋊Dic43—22no—
601C22⋊Dic43—22no—
602C22⋊Dic43—22no—
603C22⋊Dic43—22no—
604C22⋊Dic43—22no—
605C22⋊Dic43—22no—
606C22⋊Dic43—22no—
607C22⋊Dic43—22no—
608C22⋊Dic43—41no—
609C22⋊Dic43—41no—
610C22⋊Dic43—41no—
611C22⋊Dic43—41no—
612(C2×D43)⋊C4—22no—
613(C2×D43)⋊C4—22no—
614(C2×D43)⋊C4—22no—
615(C2×D43)⋊C4—22no—
616(C2×D43)⋊C4—22no—
617(C2×D43)⋊C4—22no—
618(C2×D43)⋊C4—22no—
619(C2×D43)⋊C4—22no—
620(C2×D43)⋊C4—22no—
621(C2×D43)⋊C4—22no—
622(C2×D43)⋊C4—22no—
623(C2×D43)⋊C4—22no—
624(C2×D43)⋊C4—22no—
625(C2×D43)⋊C4—22no—
626(C2×D43)⋊C4—41no—
627(C2×D43)⋊C4—41no—
628(C2×D43)⋊C4—41no—
629(C2×D43)⋊C4—41no—
630(C2×D43)⋊C4—41no—
631(C2×D43)⋊C4—41no—
632(C2×D43)⋊C4—41no—
633(C2×D43)⋊C4—41no—
634(C2×D43)⋊C4—41no—
635(C2×D43)⋊C4—41no—
636(C2×D43)⋊C4—41no—
637(C2×D43)⋊C4—41no—
638(C2×D43)⋊C4—41no—
639(C2×D43)⋊C4—41no—
640C4⋊Dic43—22no—
641C4⋊Dic43—22no—
642C4⋊Dic43—41no—
643C4⋊Dic43—41no—
644C4⋊Dic43—41no—
645Dic43⋊C4—22no—
646Dic43⋊C4—22no—
647Dic43⋊C4—22no—
648Dic43⋊C4—22no—
649Dic43⋊C4—22no—
650Dic43⋊C4—22no—
651Dic43⋊C4—41no—
652Dic43⋊C4—41no—
653Dic43⋊C4—41no—
654Dic43⋊C4—41no—
655C4×Dic43—22no—
656C4×Dic43—22no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—28no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43—21no—
665C23×C43—21no—
666C23×C43—21no—
667C23×C43—21no—
668C23×C43—21no—
669C23×C43—21no—
670C23×C43—21no—
671C23×C43—21no—
672C23×C43—21no—
673C23×C43—21no—
674C23×C43—21no—
675C23×C43—21no—
676C23×C43—21no—
677C23×C43—21no—
678C23×C43—21no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—21no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—21no—
685C23×C43—21no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—44no—
689C23×C43—44no—
690C23×C43—44no—
691C23×C43—44no—
692C23×C43—44no—
693C23×C43—44no—
694C23×C43C22×D412yes—
695C23×C43C22×D412yes—
696C23×C43C22×D412yes—
697C23×C43H(5,𝔽2)12yes—
698C23×C43H(5,𝔽2)12yes—
699C23×C43C2511yescharacteristic
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—21no—
709C22×D43—21no—
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—28no—
713C22×D43—21no—
714C22×D43—21no—
715C22×D43—21no—
716C22×D43—21no—
717C22×D43—21no—
718C22×D43—21no—
719C22×D43—21no—
720C22×D43—21no—
721C22×D43—21no—
722C22×D43—21no—
723C22×D43—21no—
724C22×D43—21no—
725C22×D43—21no—
726C22×D43—21no—
727C22×D43—44no—
728C22×D43—44no—
729C22×D43—44no—
730C22×D43—82no—
731C22×D43—82no—
732C22×D43—82no—
733C22×D43—82no—
734C22×D43—82no—
735C22×D43—82no—
736C22×D43—82no—
737C22×D43—82no—
738C22×D43—82no—
739C22×D43—82no—
740C22×D43C22×D412yes—
741C22×D43C22×D412yes—
742D4×C43—44no—
743D4×C43—44no—
744D4×C43—82no—
745D4×C43—82no—
746D4×C43—82no—
747D4×C43—82no—
748D4×C43—82no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—82no—
780C2×C4×C43—82no—
781C22⋊D43—44no—
782C22⋊D43—44no—
783C22⋊D43—44no—
784C22⋊D43—44no—
785C22⋊D43—44no—
786C22⋊D43—44no—
787C22⋊D43—44no—
788C22⋊D43—44no—
789C22⋊D43—82no—
790C22⋊D43—82no—
791C22⋊D43—82no—
792C22⋊D43—82no—
793C22⋊D43—82no—
794C22⋊D43—82no—
795C22⋊D43—82no—
796C22⋊D43—82no—
797C2×Dic43—28no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—21no—
810C2×Dic43—21no—
811C2×Dic43—21no—
812C2×Dic43—21no—
813C2×Dic43—21no—
814C2×Dic43—21no—
815C2×Dic43—21no—
816C2×Dic43—21no—
817C2×Dic43—21no—
818C2×Dic43—21no—
819C2×Dic43—21no—
820C2×Dic43—21no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—21no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—21no—
829C2×Dic43—21no—
830C2×Dic43—44no—
831C2×Dic43—44no—
832C2×Dic43—44no—
833C2×Dic43—44no—
834C2×Dic43—44no—
835C2×Dic43—44no—
836C2×Dic43—44no—
837C2×Dic43C22×D412yes—
838C2×Dic43C22×D412yes—
839C2×Dic43H(5,𝔽2)12yes—
840C2×Dic43H(5,𝔽2)12yes—
841D172—44no—
842D172—82no—
843D172—82no—
844D172—82no—
845C4×D43—44no—
846C4×D43—44no—
847C4×D43—82no—
848C4×D43—82no—
849Dic86—44no—
850#36737—431nomaximal, Sylow
851C22×C43—22no—
852C22×C43—22no—
853C22×C43—22no—
854C22×C43—22no—
855C22×C43—22no—
856C22×C43—22no—
857C22×C43—22no—
858C22×C43—22no—
859C22×C43—22no—
860C22×C43—22no—
861C22×C43—22no—
862C22×C43—22no—
863C22×C43—416no—
864C22×C43—41no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43—41no—
885C22×C43—41no—
886C22×C43#53414yes—
887C22×C43C23×D411yescharacteristic
888C22×C43C2×H(5,𝔽2)11yescharacteristic
889C22×C43C2×H(5,𝔽2)11yescharacteristic
890C22×C43C2×H(5,𝔽2)11yescharacteristic
891C22×C43C2×H(5,𝔽2)11yescharacteristic
892C22×C43#58511yescharacteristic
893C22×C43#58511yescharacteristic
894C2×D43—22no—
895C2×D43—22no—
896C2×D43—22no—
897C2×D43—22no—
898C2×D43—22no—
899C2×D43—22no—
900C2×D43—41no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—41no—
904C2×D43—41no—
905C2×D43—41no—
906C2×D43—41no—
907C2×D43—41no—
908C2×D43—41no—
909C2×D43—41no—
910C2×D43—41no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—41no—
914C2×D43—41no—
915C2×D43—41no—
916C2×D43—41no—
917C2×D43—41no—
918C2×D43—41no—
919C2×D43—41no—
920C2×D43—41no—
921C2×D43—41no—
922C2×D43—88no—
923C2×D43—88no—
924C4×C43—41no—
925C4×C43—41no—
926C4×C43—41no—
927C4×C43—41no—
928C4×C43—41no—
929C4×C43—41no—
930C4×C43—41no—
931C4×C43—41no—
932C4×C43—41no—
933C4×C43—41no—
934Dic43—22no—
935Dic43—22no—
936Dic43—22no—
937Dic43—22no—
938Dic43—41no—
939Dic43—41no—
940Dic43—41no—
941Dic43—41no—
942Dic43—41no—
943Dic43—41no—
944Dic43—41no—
945Dic43—41no—
946C2×#535—431no—
947C2×#534—431no—
948#2847—431no—
949#2847—431no—
950#2717—431no—
951#2709—431no—
952#2708—431no—
953#2708—431no—
954#2688—431no—
955#2688—431no—
956#2686—431no—
957#2686—431no—
958#2684—431no—
959#2673—431no—
960#2673—431no—
961#2671—431no—
962#2671—431no—
963#2669—431no—
964#2668—431no—
965#2668—431no—
966#2617—431no—
967#2617D4311yescharacteristic, complemented
968#2498—431no—
969#2498—431no—
970#2430—431no—
971#2430—431no—
972#2412—431no—
973#2412—431no—
974#2410—431no—
975#2410—431no—
976C2×#386—431no—
977C2×C43—24no—
978C2×C43—42no—
979C2×C43—42no—
980C2×C43—81no—
981C2×C43—81no—
982C2×C43C2×#53411yescharacteristic
983C2×C43#349611yescharacteristic
984C2×C43#349611yescharacteristic
985C2×C43#353211yescharacteristic
986C2×C43#353311yescharacteristic
987C2×C43#354211yescharacteristic
988C2×C43#354211yescharacteristic
989D43—42no—
990D43—42no—
991D43—81no—
992D43—81no—
993C22×#41—431no—
994C23×D4—431no—
995C23×D4—431no—
996C24×C4—431no—
997#535—868no—
998#534—868no—
999C2×#127—431no—
1000C2×#127—431no—
1001C2×#124—431no—
1002C2×#124—431no—
1003C2×#123—431no—
1004C2×#123—431no—
1005C2×#123—431no—
1006C2×#123—431no—
1007C2×#123—431no—
1008C2×#123—431no—
1009C2×#121—431no—
1010C2×#121—431no—
1011C2×#121—431no—
1012C2×#121—431no—
1013C2×#121—431no—
1014C2×#121—431no—
1015C2×#121—431no—
1016C2×#121—431no—
1017C2×#121—431no—
1018C2×#121—431no—
1019C2×#121—431no—
1020C2×#121—431no—
1021C2×#121—431no—
1022C2×#121—431no—
1023C2×#121—431no—
1024C2×#121C2×D4311yescharacteristic
1025C2×#120—431no—
1026C2×#120—431no—
1027C2×#120—431no—
1028C2×#120—431no—
1029C2×#120—431no—
1030C2×#120—431no—
1031C2×#120—431no—
1032C2×#120—431no—
1033C2×#120C2×D4311yescharacteristic
1034C2×#120C2×D4311yescharacteristic, complemented
1035C2×#117—431no—
1036C22×C22⋊C4—431no—
1037C22×C22⋊C4—431no—
1038C22×C22⋊C4—431no—
1039C22×C22⋊C4C2×D4311yescharacteristic, complemented
1040#400—431no—
1041#400—431no—
1042#399—431no—
1043#399—431no—
1044#398—431no—
1045#398—431no—
1046#397—431no—
1047#397—431no—
1048#397—431no—
1049#397—431no—
1050#397—431no—
1051#397—431no—
1052#397—431no—
1053#397—431no—
1054#397C2×D4311yescharacteristic, complemented
1055#397C2×D4311yescharacteristic, complemented
1056#395—431no—
1057#395—431no—
1058#394—431no—
1059#394—431no—
1060#394—431no—
1061#394—431no—
1062#394—431no—
1063#394—431no—
1064#394—431no—
1065#394—431no—
1066#394—431no—
1067#394—431no—
1068#394—431no—
1069#394—431no—
1070#394—431no—
1071#394—431no—
1072#394C2×D4311yescharacteristic, complemented
1073#394C2×D4311yescharacteristic, complemented
1074#394C2×D4311yescharacteristic, complemented
1075#394C2×D4311yescharacteristic, complemented
1076#393—431no—
1077#393—431no—
1078#392—431no—
1079#392—431no—
1080#392—431no—
1081#392—431no—
1082#392—431no—
1083#392—431no—
1084#392—431no—
1085#392—431no—
1086#392C2×D4311yescharacteristic, complemented
1087#392C2×D4311yescharacteristic, complemented
1088#388—431no—
1089#388—431no—
1090#388—431no—
1091#388—431no—
1092#387—431no—
1093#387—431no—
1094#387—431no—
1095#387—431no—
1096#386—431no—
1097#386—431no—
1098#386—431no—
1099#386—431no—
1100#386—431no—
1101#386—431no—
1102#386—431no—
1103#386—431no—
1104#386—431no—
1105#386—431no—
1106#386—431no—
1107#386—431no—
1108#386—431no—
1109#386—431no—
1110#386—431no—
1111#386—431no—
1112#386—431no—
1113#386—431no—
1114#386—431no—
1115#386—431no—
1116#386—431no—
1117#386—431no—
1118#386—431no—
1119#386—431no—
1120#386—431no—
1121#386—431no—
1122#386—431no—
1123#386—431no—
1124#386—431no—
1125#386—431no—
1126#386C2×D4311yescharacteristic
1127#386C2×D4311yescharacteristic, complemented
1128#385—431no—
1129#385—431no—
1130#385—431no—
1131#385—431no—
1132#385—431no—
1133#385—431no—
1134#385—431no—
1135#385—431no—
1136#381—431no—
1137#381—431no—
1138#380—431no—
1139#380—431no—
1140#380—431no—
1141#380—431no—
1142#380—431no—
1143#380—431no—
1144#380—431no—
1145#380C2×D4311yescharacteristic, complemented
1146#379—431no—
1147#379—431no—
1148C2×#95—431no—
1149C2×#95—431no—
1150C43#3673711yescharacteristic, complemented, Sylow
1151C25—431no—
1152C25—431no—
1153C25C22×D4311yescharacteristic
1154C2×#41—864no—
1155C2×#41—1722no—
1156C2×#41—1722no—
1157C22×Q8—431no—
1158C22×D4—438no—
1159C22×D4—431no—
1160C22×D4—431no—
1161C22×D4—431no—
1162C22×D4—431no—
1163C22×D4—431no—
1164C22×D4—431no—
1165C22×D4—431no—
1166C22×D4—431no—
1167C22×D4—431no—
1168C22×D4—431no—
1169C22×D4—431no—
1170C22×D4—431no—
1171C22×D4—431no—
1172C22×D4—431no—
1173C22×D4—431no—
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—431no—
1177C22×D4—431no—
1178C22×D4—431no—
1179C22×D4—864no—
1180C22×D4—1722no—
1181C22×D4—1722no—
1182C22×D4—1722no—
1183C22×D4—1722no—
1184C22×D4C22×D4311yescharacteristic
1185C22×D4C22×D4311yescharacteristic
1186C22×D4C22×D4311yescharacteristic
1187C22×D4C22×D4311yescharacteristic
1188C22×D4C22×D4311yescharacteristic
1189C22×D4C22×D4311yescharacteristic
1190C22×D4C22×D4311yescharacteristic
1191C23×C4—431no—
1192C23×C4—431no—
1193C23×C4—431no—
1194C23×C4—431no—
1195C23×C4—431no—
1196C23×C4—431no—
1197C23×C4—431no—
1198C23×C4—431no—
1199C23×C4—431no—
1200C23×C4—431no—
1201C23×C4—431no—
1202C23×C4—431no—
1203C23×C4—1722no—
1204C23×C4—1722no—
1205C23×C4—1722no—
1206C23×C4C22×D4311yescharacteristic
1207C23×C4C22×D4311yescharacteristic
1208#127—864no—
1209#127—864no—
1210#124—864no—
1211#124—864no—
1212#123—864no—
1213#123—864no—
1214#123—864no—
1215#123—864no—
1216#123—1722no—
1217#123—1722no—
1218#121—42no—
1219#121—864no—
1220#121—864no—
1221#121—864no—
1222#121—864no—
1223#121—864no—
1224#121—864no—
1225#121—864no—
1226#121—864no—
1227#121—1722no—
1228#121—1722no—
1229#121—1722no—
1230#121—1722no—
1231#121—1722no—
1232#121—1722no—
1233#121—1722no—
1234#120—24no—
1235#120—24no—
1236#120—864no—
1237#120—864no—
1238#120—864no—
1239#120—864no—
1240#120—864no—
1241#120—864no—
1242#120—1722no—
1243#120—1722no—
1244#117—864no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—431no—
1251C2×C4⋊C4—431no—
1252C2×C4⋊C4—431no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—431no—
1259C2×C4⋊C4—431no—
1260C2×C4⋊C4C22×D4311yescharacteristic
1261C2×C4⋊C4C22×D4311yescharacteristic
1262C2×C4⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4—42no—
1264C2×C22⋊C4—431no—
1265C2×C22⋊C4—431no—
1266C2×C22⋊C4—431no—
1267C2×C22⋊C4—431no—
1268C2×C22⋊C4—431no—
1269C2×C22⋊C4—431no—
1270C2×C22⋊C4—431no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—431no—
1274C2×C22⋊C4—431no—
1275C2×C22⋊C4—431no—
1276C2×C22⋊C4—431no—
1277C2×C22⋊C4—431no—
1278C2×C22⋊C4—431no—
1279C2×C22⋊C4—431no—
1280C2×C22⋊C4—431no—
1281C2×C22⋊C4—431no—
1282C2×C22⋊C4—431no—
1283C2×C22⋊C4—431no—
1284C2×C22⋊C4—431no—
1285C2×C22⋊C4—431no—
1286C2×C22⋊C4—431no—
1287C2×C22⋊C4—431no—
1288C2×C22⋊C4—431no—
1289C2×C22⋊C4—431no—
1290C2×C22⋊C4—431no—
1291C2×C22⋊C4—431no—
1292C2×C22⋊C4—431no—
1293C2×C22⋊C4—431no—
1294C2×C22⋊C4—431no—
1295C2×C22⋊C4—431no—
1296C2×C22⋊C4—431no—
1297C2×C22⋊C4—431no—
1298C2×C22⋊C4—431no—
1299C2×C22⋊C4—431no—
1300C2×C22⋊C4—431no—
1301C2×C22⋊C4—431no—
1302C2×C22⋊C4—431no—
1303C2×C22⋊C4—431no—
1304C2×C22⋊C4—431no—
1305C2×C22⋊C4—431no—
1306C2×C22⋊C4—864no—
1307C2×C22⋊C4—1722no—
1308C2×C22⋊C4—1722no—
1309C2×C22⋊C4C22×D4311yescharacteristic
1310C2×C22⋊C4C22×D4311yescharacteristic
1311C2×C22⋊C4C22×D4311yescharacteristic
1312C2×C22⋊C4C22×D4311yescharacteristic
1313C2×C22⋊C4C22×D4311yescharacteristic
1314C2×C22⋊C4C22×D4311yescharacteristic
1315C2×C22⋊C4C22×D4311yescharacteristic
1316C2×C22⋊C4C22×D4311yescharacteristic
1317C2×C22⋊C4C22×D4311yescharacteristic
1318C2×C22⋊C4C22×D4311yescharacteristic
1319C2×C22⋊C4C22×D4311yescharacteristic
1320C2×C22⋊C4C22×D4311yescharacteristic
1321C2×C22⋊C4C22×D4311yescharacteristic
1322C2×C22⋊C4C22×D4311yescharacteristic
1323C2×C22⋊C4C22×D4311yescharacteristic
1324C2×C22⋊C4C22×D4311yescharacteristic
1325C2×C42—431no—
1326C2×C42—431no—
1327#95—431no—
1328#95—431no—
1329#95—431no—
1330#95—431no—
1331#95—431no—
1332#95—431no—
1333#95—431no—
1334#95—431no—
1335#95—431no—
1336#95—431no—
1337#95—431no—
1338#95—431no—
1339#95—431no—
1340#95—431no—
1341#95—431no—
1342#95—431no—
1343#95—431no—
1344#95—431no—
1345#95—431no—
1346#95—431no—
1347#95—431no—
1348#95—431no—
1349#95—431no—
1350#95—431no—
1351#95—431no—
1352#95—431no—
1353#95C22×D4311yescharacteristic
1354#95C22×D4311yescharacteristic
1355#95C22×D4311yescharacteristic
1356#95C22×D4311yescharacteristic
1357#95C22×D4311yescharacteristic
1358#95C22×D4311yescharacteristic
1359C24—22no—
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—431no—
1366C24—431no—
1367C24—434no—
1368C24—431no—
1369C24—431no—
1370C24—862no—
1371C24—862no—
1372C24—862no—
1373C24—1721no—
1374C24—1721no—
1375C24—1721no—
1376C24—1721no—
1377C24—1721no—
1378C24—1721no—
1379C24—1721no—
1380C24—1721no—
1381C24—1721no—
1382C24—1721no—
1383C24D4×D4314yes—
1384C24C23×D4311yescharacteristic
1385C24C23×D4311yescharacteristic
1386C24C23×D4311yescharacteristic
1387C24C23×D4311yescharacteristic
1388C24C23×D4311yescharacteristic
1389#41—17216no—
1390C2×Q8—862no—
1391C2×Q8—1721no—
1392C2×Q8—1721no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—434no—
1415C2×D4—434no—
1416C2×D4—434no—
1417C2×D4—434no—
1418C2×D4—862no—
1419C2×D4—862no—
1420C2×D4—862no—
1421C2×D4—862no—
1422C2×D4—862no—
1423C2×D4—862no—
1424C2×D4—862no—
1425C2×D4—862no—
1426C2×D4—862no—
1427C2×D4—862no—
1428C2×D4—862no—
1429C2×D4—862no—
1430C2×D4—862no—
1431C2×D4—862no—
1432C2×D4—862no—
1433C2×D4—862no—
1434C2×D4—862no—
1435C2×D4—862no—
1436C2×D4—862no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4—1721no—
1442C2×D4—1721no—
1443C2×D4—1721no—
1444C2×D4—1721no—
1445C2×D4—1721no—
1446C2×D4—1721no—
1447C2×D4—1721no—
1448C2×D4—1721no—
1449C2×D4—1721no—
1450C2×D4—1721no—
1451C2×D4—1721no—
1452C2×D4—1721no—
1453C2×D4—1721no—
1454C2×D4—1721no—
1455C2×D4—1721no—
1456C2×D4—1721no—
1457C2×D4—1721no—
1458C2×D4—1721no—
1459C2×D4—1721no—
1460C2×D4—1721no—
1461C2×D4—1721no—
1462C2×D4—17216no—
1463C2×D4—1721no—
1464C2×D4—1721no—
1465C2×D4—1721no—
1466C2×D4—1721no—
1467C2×D4—1721no—
1468C2×D4—1721no—
1469C2×D4—1721no—
1470C2×D4—1721no—
1471C2×D4—1721no—
1472C2×D4—1721no—
1473C2×D4—1721no—
1474C2×D4—1721no—
1475C2×D4—17216no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—434no—
1483C22×C4—431no—
1484C22×C4—431no—
1485C22×C4—431no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—431no—
1493C22×C4—431no—
1494C22×C4—431no—
1495C22×C4—862no—
1496C22×C4—862no—
1497C22×C4—862no—
1498C22×C4—862no—
1499C22×C4—862no—
1500C22×C4—862no—
1501C22×C4—862no—
1502C22×C4—862no—
1503C22×C4—862no—
1504C22×C4—862no—
1505C22×C4—862no—
1506C22×C4—862no—
1507C22×C4—862no—
1508C22×C4—862no—
1509C22×C4—862no—
1510C22×C4—1721no—
1511C22×C4—1721no—
1512C22×C4—1721no—
1513C22×C4—1721no—
1514C22×C4—1721no—
1515C22×C4—1721no—
1516C22×C4—1721no—
1517C22×C4—1721no—
1518C22×C4—1721no—
1519C22×C4—1721no—
1520C22×C4—1721no—
1521C22×C4—1721no—
1522C22×C4—1721no—
1523C22×C4—1721no—
1524C22×C4—1721no—
1525C22×C4—1721no—
1526C22×C4—1721no—
1527C22×C4—1721no—
1528C22×C4—1721no—
1529C22×C4—1721no—
1530C22×C4—17216no—
1531C22×C4C23×D4311yescharacteristic
1532C22×C4C23×D4311yescharacteristic
1533C22×C4C23×D4311yescharacteristic
1534C22×C4C23×D4311yescharacteristic
1535C22×C4C23×D4311yescharacteristic
1536C22×C4C23×D4311yescharacteristic
1537C22×C4C23×D4311yescharacteristic
1538C22×C4C23×D4311yescharacteristic
1539C22×C4C23×D4311yescharacteristic
1540C22×C4C23×D4311yescharacteristic
1541C4⋊C4—41no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—862no—
1545C4⋊C4—862no—
1546C4⋊C4—862no—
1547C4⋊C4—862no—
1548C4⋊C4—862no—
1549C4⋊C4—862no—
1550C4⋊C4—862no—
1551C4⋊C4—862no—
1552C4⋊C4—1721no—
1553C4⋊C4—1721no—
1554C4⋊C4—1721no—
1555C4⋊C4—1721no—
1556C4⋊C4—1721no—
1557C4⋊C4—1721no—
1558C4⋊C4—1721no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—862no—
1576C22⋊C4—862no—
1577C22⋊C4—862no—
1578C22⋊C4—862no—
1579C22⋊C4—862no—
1580C22⋊C4—862no—
1581C22⋊C4—862no—
1582C22⋊C4—862no—
1583C22⋊C4—862no—
1584C22⋊C4—862no—
1585C22⋊C4—862no—
1586C22⋊C4—862no—
1587C22⋊C4—862no—
1588C22⋊C4—862no—
1589C22⋊C4—862no—
1590C22⋊C4—862no—
1591C22⋊C4—862no—
1592C22⋊C4—862no—
1593C22⋊C4—862no—
1594C22⋊C4—862no—
1595C22⋊C4—862no—
1596C22⋊C4—862no—
1597C22⋊C4—862no—
1598C22⋊C4—862no—
1599C22⋊C4—1721no—
1600C22⋊C4—1721no—
1601C22⋊C4—1721no—
1602C22⋊C4—1721no—
1603C22⋊C4—1721no—
1604C22⋊C4—1721no—
1605C22⋊C4—1721no—
1606C22⋊C4—1721no—
1607C22⋊C4—1721no—
1608C22⋊C4—1721no—
1609C22⋊C4—1721no—
1610C22⋊C4—1721no—
1611C22⋊C4—1721no—
1612C22⋊C4—1721no—
1613C22⋊C4—1721no—
1614C22⋊C4—1721no—
1615C22⋊C4—1721no—
1616C22⋊C4—1721no—
1617C42—862no—
1618C42—862no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—28no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—432no—
1657C23—432no—
1658C23—868no—
1659C23—861no—
1660C23—861no—
1661C23—861no—
1662C23—861no—
1663C23—861no—
1664C23—861no—
1665C23—861no—
1666C23—861no—
1667C23—861no—
1668C23—861no—
1669C23—861no—
1670C23—861no—
1671C23—861no—
1672C23—861no—
1673C23—861no—
1674C23—861no—
1675C23—861no—
1676C23—861no—
1677C23—861no—
1678C23—861no—
1679C23—861no—
1680C23—861no—
1681C23—861no—
1682C23—861no—
1683C23—861no—
1684C23—861no—
1685C23—3442no—
1686C23—3442no—
1687C23—3442no—
1688C23—3442no—
1689C23—3442no—
1690C23—3442no—
1691C23—3442no—
1692C23—3442no—
1693C23—3442no—
1694C23—3442no—
1695C23—1724no—
1696C23—1724no—
1697C23—1724no—
1698C23C2×D4×D4312yes—
1699C23C2×D4×D4312yes—
1700C23C2×D4×D4312yes—
1701C23#1306337012yes—
1702C23#1306337112yes—
1703C23C24×D4311yescharacteristic
1704Q8—1724no—
1705D4—44no—
1706D4—44no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—3442no—
1713D4—3442no—
1714D4—3442no—
1715D4—3442no—
1716D4—3442no—
1717D4—3442no—
1718D4—3442no—
1719D4—3442no—
1720D4—3442no—
1721D4—3442no—
1722D4—3442no—
1723D4—1724no—
1724D4—1724no—
1725D4—1724no—
1726D4—1724no—
1727D4—1724no—
1728D4—1724no—
1729D4—1724no—
1730D4—1724no—
1731D4—1724no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—82no—
1763C2×C4—82no—
1764C2×C4—432no—
1765C2×C4—432no—
1766C2×C4—432no—
1767C2×C4—432no—
1768C2×C4—868no—
1769C2×C4—861no—
1770C2×C4—861no—
1771C2×C4—861no—
1772C2×C4—861no—
1773C2×C4—861no—
1774C2×C4—861no—
1775C2×C4—861no—
1776C2×C4—861no—
1777C2×C4—861no—
1778C2×C4—861no—
1779C2×C4—861no—
1780C2×C4—861no—
1781C2×C4—861no—
1782C2×C4—861no—
1783C2×C4—861no—
1784C2×C4—861no—
1785C2×C4—861no—
1786C2×C4—861no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—861no—
1797C2×C4—861no—
1798C2×C4—861no—
1799C2×C4—861no—
1800C2×C4—861no—
1801C2×C4—3442no—
1802C2×C4—3442no—
1803C2×C4—1724no—
1804C2×C4—1724no—
1805C2×C4—1724no—
1806C2×C4—1724no—
1807C2×C4—1724no—
1808C2×C4—1724no—
1809C2×C4—1724no—
1810C2×C4—1724no—
1811C2×C4—1724no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—416no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—862no—
1848C22—862no—
1849C22—862no—
1850C22—862no—
1851C22—862no—
1852C22—862no—
1853C22—3448no—
1854C22—3448no—
1855C22—1721no—
1856C22—1721no—
1857C22—1721no—
1858C22—1721no—
1859C22—1721no—
1860C22—1721no—
1861C22—1721no—
1862C22—1721no—
1863C22—1721no—
1864C22—1721no—
1865C22—1721no—
1866C22—1721no—
1867C22—1721no—
1868C22—1721no—
1869C22—1721no—
1870C22—1721no—
1871C22—1721no—
1872C22—1721no—
1873C22—1721no—
1874C22—1721no—
1875C22—1721no—
1876C22—1721no—
1877C22#1458345714yes—
1878C22C22×D4×D4311yescharacteristic
1879C22H(5,𝔽2)×D4311yescharacteristic
1880C22H(5,𝔽2)×D4311yescharacteristic
1881C22C2×#1306337011yescharacteristic
1882C22C2×#1306337111yescharacteristic
1883C22#1458373411yescharacteristic
1884C22#1458373411yescharacteristic
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—862no—
1896C4—862no—
1897C4—862no—
1898C4—862no—
1899C4—1721no—
1900C4—1721no—
1901C4—1721no—
1902C4—1721no—
1903C4—1721no—
1904C4—1721no—
1905C4—1721no—
1906C4—1721no—
1907C2—24no—
1908C2—42no—
1909C2—42no—
1910C2—81no—
1911C2—81no—
1912C2—3441no—
1913C2—3441no—
1914C2—1722no—
1915C2—1722no—
1916C2C2×#1458345711yescharacteristic
1917C2#1914835611yescharacteristic
1918C2#1914835611yescharacteristic
1919C2#1914874611yescharacteristic
1920C2#1914876311yescharacteristic
1921C2#1914889811yescharacteristic
1922C2#1914890611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2617C2
hypercenter#2617D43
hypocenterC43#36737
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. C2×#14583464C2semidirect
2. C2×#14583459C2semidirect
3. #19142875C2semidirect
4. #19142875C2semidirect
5. #19141429C2semidirect
6. #19141321C2semidirect
7. #19141312C2semidirect
8. #19141306C2semidirect
9. #19141030C2semidirect
10. #19141024C2semidirect
11. #19141000C2semidirect
12. #19140994C2semidirect
13. #19140970C2semidirect
14. #19140860C2semidirect
15. #19140854C2semidirect
16. #19140830C2semidirect
17. #19140824C2semidirect
18. #19140806C2semidirect
19. #19140802C2semidirect
20. #19140797C2semidirect
21. #19140329C2semidirect
22. #19139037C2semidirect
23. #19139035C2semidirect
24. #19138203C2semidirect
25. #19138201C2semidirect
26. #19137990C2semidirect
27. #19137988C2semidirect
28. #19137968C2semidirect
29. #19137966C2semidirect
30. C2×#14582776C2semidirect
31. C43×#2617C2semidirect
32. C22×#10621900C22semidirect
35. C24×Dic43C22semidirect
39. C2×#13063321C22semidirect
41. C2×#13063311C22semidirect
42. C2×#13063310C22semidirect
46. C2×#13063307C22semidirect
52. C2×#13063298C22semidirect
56. C2×#13063297C22semidirect
57. C2×#13063297C22semidirect
58. C2×#13063297C22semidirect
59. C2×#13063297C22semidirect
60. C2×#13063297C22semidirect
64. C2×#13063295C22semidirect
66. C2×#13063294C22semidirect
70. C2×#13063293C22semidirect
71. C2×#13063281C22semidirect
75. #14582841C22semidirect
76. #14582840C22semidirect
77. #14582835C22semidirect
78. #14582834C22semidirect
79. #14582833C22semidirect
80. #14582832C22semidirect
81. #14582828C22semidirect
82. #14582828C22semidirect
83. #14582828C22semidirect
84. #14582827C22semidirect
85. #14582826C22semidirect
86. #14582825C22semidirect
87. #14582824C22semidirect
88. #14582824C22semidirect
89. #14582820C22semidirect
90. #14582819C22semidirect
91. #14582817C22semidirect
92. #14582817C22semidirect
93. #14582816C22semidirect
94. #14582816C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
97. #14582815C22semidirect
98. #14582815C22semidirect
99. #14582815C22semidirect
100. #14582815C22semidirect
101. #14582815C22semidirect
102. #14582814C22semidirect
103. #14582814C22semidirect
104. #14582814C22semidirect
105. #14582812C22semidirect
106. #14582811C22semidirect
107. #14582809C22semidirect
108. #14582808C22semidirect
109. #14582808C22semidirect
110. #14582808C22semidirect
111. #14582808C22semidirect
112. #14582808C22semidirect
113. #14582807C22semidirect
114. #14582807C22semidirect
115. #14582793C22semidirect
116. #14582792C22semidirect
117. #14582789C22semidirect
118. #14582788C22semidirect
119. #14582786C22semidirect
120. #14582785C22semidirect
121. #14582782C22semidirect
122. #14582781C22semidirect
124. #14582779C22semidirect
125. #14582779C22semidirect
126. #14582779C22semidirect
127. #14582779C22semidirect
128. #14582779C22semidirect
129. #14582779C22semidirect
131. #14582778C22semidirect
132. #14582777C22semidirect
133. #14582777C22semidirect
134. #14582777C22semidirect
140. #14582776C22semidirect
141. #14582776C22semidirect
142. #14582776C22semidirect
143. #14582776C22semidirect
144. #14582776C22semidirect
145. #14582776C22semidirect
146. #14582776C22semidirect
147. #14582776C22semidirect
148. #14582776C22semidirect
149. #14582776C22semidirect
150. #14582775C22semidirect
151. #14582775C22semidirect
152. #14582775C22semidirect
153. #14582774C22semidirect
154. #14582773C22semidirect
155. #14582773C22semidirect
156. #14582773C22semidirect
157. #14582771C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582770C22semidirect
161. #14582761C22semidirect
162. #14582761C22semidirect
163. #14582759C22semidirect
164. #14582757C22semidirect
165. #14582757C22semidirect
166. #14582757C22semidirect
167. #14582757C22semidirect
168. #14582757C22semidirect
169. #14582757C22semidirect
170. #14582754C22semidirect
171. #14582754C22semidirect
172. C2×C43⋊#95C22semidirect
173. C2×C43⋊#95C22semidirect
176. C2×#120×C43C22semidirect
177. C22×C22⋊C4×C43C22semidirect
178. C43×#397C22semidirect
179. C43×#397C22semidirect
180. C43×#394C22semidirect
181. C43×#394C22semidirect
182. C43×#394C22semidirect
183. C43×#394C22semidirect
184. C43×#392C22semidirect
185. C43×#392C22semidirect
187. C43×#386C22semidirect
188. C43×#380C22semidirect
201. C22×C22⋊D43D4semidirect
967. #2617D43semidirect
1034. C2×#120C2×D43semidirect
1039. C22×C22⋊C4C2×D43semidirect
1054. #397C2×D43semidirect
1055. #397C2×D43semidirect
1072. #394C2×D43semidirect
1073. #394C2×D43semidirect
1074. #394C2×D43semidirect
1075. #394C2×D43semidirect
1086. #392C2×D43semidirect
1087. #392C2×D43semidirect
1127. #386C2×D43semidirect
1145. #380C2×D43semidirect
1150. C43#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#145834642
C2×#145834592
#191428752
#191414292
#191413212
#191413122
#191413062
#191410302
#191410242
#191410002
#191409942
#191409702
#191408602
#191408542
#191408302
#191408242
#191408062
#191408022
#191407972
#191403292
#191390372
#191390352
#191382032
#191382012
#191379902
#191379882
#191379682
#191379662
C2×#145827762
C43×#26172
#3673743