Finite Group Databasebeta

← #25303513

Subgroups — #25303513

Order 11008.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583500C211yesmaximal, characteristic, complemented
2C2×#14583411C211yesmaximal, characteristic, complemented
3#19142886C211yesmaximal, characteristic, complemented
4#19142876C211yesmaximal, characteristic, complemented
5#19141122C211yesmaximal, characteristic, complemented
6#19141106C211yesmaximal, characteristic, complemented
7#19141068C211yesmaximal, characteristic, complemented
8#19141038C211yesmaximal, characteristic, complemented
9#19141019C211yesmaximal, characteristic, complemented
10#19140921C211yesmaximal, characteristic, complemented
11#19140903C211yesmaximal, characteristic, complemented
12#19140886C211yesmaximal, characteristic, complemented
13#19140868C211yesmaximal, characteristic, complemented
14#19140867C211yesmaximal, characteristic, complemented
15#19140849C211yesmaximal, characteristic, complemented
16#19140835C211yesmaximal, characteristic, complemented
17#19140829C211yesmaximal, characteristic, complemented
18#19140814C211yesmaximal, characteristic, complemented
19#19140813C211yesmaximal, characteristic, complemented
20#19140804C211yesmaximal, characteristic, complemented
21#19140486C211yesmaximal, characteristic, complemented
22#19140442C211yesmaximal, characteristic, complemented
23#19140267C211yesmaximal, characteristic, complemented
24#19140213C211yesmaximal, characteristic, complemented
25#19140163C211yesmaximal, characteristic, complemented
26#19139560C211yesmaximal, characteristic, complemented
27#19139496C211yesmaximal, characteristic, complemented
28#19138212C211yesmaximal, characteristic, complemented
29#19138202C211yesmaximal, characteristic, complemented
30#19137226C211yesmaximal, characteristic, complemented
31C43×#2598C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583500—28no—
35C2×#13063321C2211yescharacteristic
36C2×#13063321C2211yescharacteristic
37C2×#13063316C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic, complemented
39#14583411—28no—
40C2×#13063309C2211yescharacteristic
41C2×#13063309C2211yescharacteristic
42C2×#13063308C2211yescharacteristic
43C2×#13063308C2211yescharacteristic, complemented
44C2×#13063307C2211yescharacteristic
45C2×#13063307C2211yescharacteristic
46C2×#13063307C2211yescharacteristic, complemented
47C2×#13063305C2211yescharacteristic
48C2×#13063305C2211yescharacteristic
49C2×#13063300C2211yescharacteristic
50C2×#13063300C2211yescharacteristic
51C2×#13063300C2211yescharacteristic
52C2×#13063300C2211yescharacteristic
53C2×#13063299C2211yescharacteristic
54C2×#13063299C2211yescharacteristic
55C2×#13063299C2211yescharacteristic
56C2×#13063299C2211yescharacteristic, complemented
57C2×#13063298C2211yescharacteristic
58C2×#13063298C2211yescharacteristic
59C2×#13063298C2211yescharacteristic
60C2×#13063298C2211yescharacteristic, complemented
61C2×#13063298C2211yescharacteristic, complemented
62C2×#13063297C2211yescharacteristic
63C2×#13063296C2211yescharacteristic
64C2×#13063296C2211yescharacteristic, complemented
65C2×#13063295C2211yescharacteristic
66C2×#13063295C2211yescharacteristic
67C2×#13063295C2211yescharacteristic
68C2×#13063293C2211yescharacteristic
69C2×#13063293C2211yescharacteristic
70C2×C4×D172C2211yescharacteristic
71C2×C4×D172C2211yescharacteristic
72C2×C4×D172C2211yescharacteristic
73C2×C4×D172C2211yescharacteristic
74C2×#13063282C2211yescharacteristic, complemented
75#14582841C2211yescharacteristic, complemented
76#14582839C2211yescharacteristic, complemented
77#14582836C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582832C2211yescharacteristic, complemented
80#14582832C2211yescharacteristic, complemented
81#14582831C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic
83#14582828C2211yescharacteristic, complemented
84#14582825C2211yescharacteristic
85#14582825C2211yescharacteristic
86#14582825C2211yescharacteristic, complemented
87#14582822C2211yescharacteristic
88#14582822C2211yescharacteristic, complemented
89#14582821C2211yescharacteristic, complemented
90#14582821C2211yescharacteristic, complemented
91#14582820C2211yescharacteristic, complemented
92#14582817C2211yescharacteristic
93#14582817C2211yescharacteristic
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582815C2211yescharacteristic
97#14582815C2211yescharacteristic
98#14582815C2211yescharacteristic
99#14582815C2211yescharacteristic, complemented
100#14582815C2211yescharacteristic, complemented
101#14582815C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic
103#14582814C2211yescharacteristic, complemented
104#14582811C2211yescharacteristic, complemented
105#14582809C2211yescharacteristic
106#14582809C2211yescharacteristic
107#14582809C2211yescharacteristic, complemented
108#14582808C2211yescharacteristic
109#14582808C2211yescharacteristic
110#14582808C2211yescharacteristic
111#14582808C2211yescharacteristic
112#14582808C2211yescharacteristic
113#14582808C2211yescharacteristic, complemented
114#14582808C2211yescharacteristic, complemented
115#14582807C2211yescharacteristic
116#14582807C2211yescharacteristic
117#14582807C2211yescharacteristic
118#14582807C2211yescharacteristic, complemented
119#14582803C2211yescharacteristic, complemented
120#14582799C2211yescharacteristic
121#14582799C2211yescharacteristic
122#14582798C2211yescharacteristic, complemented
123#14582792C2211yescharacteristic, complemented
124#14582791C2211yescharacteristic
125#14582791C2211yescharacteristic
126#14582791C2211yescharacteristic
127#14582791C2211yescharacteristic
128#14582791C2211yescharacteristic, complemented
129#14582790C2211yescharacteristic, complemented
130#14582787C2211yescharacteristic
131#14582783C2211yescharacteristic, complemented
132#14582782C2211yescharacteristic, complemented
133#14582782C2211yescharacteristic, complemented
134#14582780C2211yescharacteristic, complemented
135#14582779C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic, complemented
143#14582777C2211yescharacteristic, complemented
144#14582777C2211yescharacteristic, complemented
145#14582777C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582775C2211yescharacteristic
151#14582775C2211yescharacteristic
152#14582775C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155#14582774C2211yescharacteristic
156#14582773C2211yescharacteristic
157#14582773C2211yescharacteristic
158#14582773C2211yescharacteristic, complemented
159#14582773C2211yescharacteristic, complemented
160#14582773C2211yescharacteristic, complemented
161#14582772C2211yescharacteristic
162#14582770C2211yescharacteristic, complemented
163#14582765C2211yescharacteristic, complemented
164#14582761C2211yescharacteristic
165#14582761C2211yescharacteristic
166#14582759C2211yescharacteristic, complemented
167#14582759C2211yescharacteristic, complemented
168#14582758C2211yescharacteristic
169#14582758C2211yescharacteristic
170#14582757C2211yescharacteristic
171#14582754C2211yescharacteristic
172#14582746C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×C4×D4×C43C2211yescharacteristic, complemented
175C2×#117×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#399C2211yescharacteristic
178C43×#394C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#386C2211yescharacteristic
186C43×#385C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C43×#383C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621898—24no—
191C2×#10621898—42no—
192C2×#10621898—42no—
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
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
216C23×Dic43C2311yescharacteristic
217C22×C4×D43—24no—
218C22×C4×D43—42no—
219C22×C4×D43—42no—
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229#13063321—24no—
230#13063321—42no—
231#13063316—24no—
232#13063311—42no—
233#13063309—24no—
234#13063309—24no—
235#13063308—24no—
236#13063308—24no—
237#13063307—24no—
238#13063307—24no—
239#13063307—42no—
240#13063305—24no—
241#13063305—24no—
242#13063300—24no—
243#13063300—24no—
244#13063300—24no—
245#13063300—42no—
246#13063299—24no—
247#13063299—24no—
248#13063299—42no—
249#13063299—42no—
250#13063298—24no—
251#13063298—24no—
252#13063298—42no—
253#13063298—42no—
254#13063298—42no—
255#13063297—42no—
256#13063296—24no—
257#13063296—42no—
258#13063295—24no—
259#13063295—24no—
260#13063295—42no—
261#13063293—42no—
262#13063293—42no—
263C4×D172—24no—
264C4×D172—24no—
265C4×D172—24no—
266C4×D172D418yescomplemented
267#13063282—24no—
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×C4⋊Dic43C2311yescharacteristic
271C2×C4⋊Dic43C2311yescharacteristic
272C2×C4⋊Dic43C2311yescharacteristic
273C2×C4⋊Dic43C2311yescharacteristic
274C2×C4⋊Dic43C2311yescharacteristic
275C2×C4⋊Dic43C2311yescharacteristic
276C2×C4⋊Dic43C2311yescharacteristic
277C2×C4⋊Dic43C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C2×Dic43⋊C4C2311yescharacteristic
283C2×Dic43⋊C4C2311yescharacteristic
284C2×Dic43⋊C4C2311yescharacteristic
285C2×Dic43⋊C4C2311yescharacteristic
286C2×Dic43⋊C4C2311yescharacteristic
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×(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×(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
329C2×C4×Dic43C2311yescharacteristic
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
354C22×D4×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360C4×D4×C43—24no—
361#117×C43—24no—
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C42×C43C2311yescharacteristic
380C2×C42×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C23×D43C2411yescharacteristic
404C23×D43C2411yescharacteristic
405C23×D43C2411yescharacteristic
406C2×D4×C43—22no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C22×C4×C43—22no—
416C22×C4×C43—22no—
417C22×C4×C43—22no—
418C22×C4×C43—22no—
419C22×C4×C43—22no—
420C22×C4×C43—41no—
421C22×C4×C43—41no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
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—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—41no—
452C2×C22⋊D43—41no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43—41no—
459C2×C22⋊D43—41no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C2×C22⋊D43—41no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C22×Dic43—22no—
476C22×Dic43—22no—
477C22×Dic43—41no—
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488C22×Dic43C2411yescharacteristic
489#10621898—416no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—22no—
497C2×D172—22no—
498C2×D172—22no—
499C2×D172—22no—
500C2×D172—41no—
501C2×D172—41no—
502C2×D172—41no—
503C2×D172—41no—
504C2×D172—41no—
505C2×D172—41no—
506C2×D172—41no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172—41no—
512C2×D172—41no—
513C2×D172—41no—
514C2×D172—41no—
515C2×D172—41no—
516C2×D172C2×D414yes—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—41no—
542C2×C4×D43—416no—
543C2×C4×D43C2×D414yes—
544C2×C4×D43C2×D414yes—
545C2×Dic86—22no—
546C2×Dic86—22no—
547C2×Dic86—41no—
548C4⋊C4×C43—22no—
549C4⋊C4×C43—22no—
550C4⋊C4×C43—22no—
551C4⋊C4×C43—41no—
552C4⋊C4×C43—41no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—22no—
556C22⋊C4×C43—22no—
557C22⋊C4×C43—22no—
558C22⋊C4×C43—22no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C42×C43—22no—
566C42×C43C2×D414yes—
567C22⋊Dic43—22no—
568C22⋊Dic43—22no—
569C22⋊Dic43—22no—
570C22⋊Dic43—41no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43—41no—
574C22⋊Dic43—41no—
575C22⋊Dic43—41no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4C2×D414yes—
608(C2×D43)⋊C4C2×D414yes—
609C4⋊Dic43—22no—
610C4⋊Dic43—22no—
611C4⋊Dic43—22no—
612C4⋊Dic43—22no—
613C4⋊Dic43—22no—
614C4⋊Dic43—41no—
615C4⋊Dic43—41no—
616C4⋊Dic43—41no—
617C4⋊Dic43—41no—
618C4⋊Dic43C2×D414yes—
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—22no—
622Dic43⋊C4—22no—
623Dic43⋊C4—22no—
624Dic43⋊C4—41no—
625Dic43⋊C4—41no—
626Dic43⋊C4—41no—
627Dic43⋊C4—41no—
628C4×Dic43—22no—
629C4×Dic43—41no—
630C4×Dic43—41no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43H(5,𝔽2)12yes—
652C23×C43C2511yescharacteristic
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43C22×D412yes—
693C22×D43C22×D412yes—
694C22×D43H(5,𝔽2)12yes—
695D4×C43—44no—
696D4×C43—82no—
697D4×C43—82no—
698C2×C4×C43—28no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—82no—
732C2×C4×C43—82no—
733C2×C4×C43C22×D412yes—
734C2×C4×C43C22×D412yes—
735C2×C4×C43C22×D412yes—
736C2×C4×C43H(5,𝔽2)12yes—
737C22⋊D43—44no—
738C22⋊D43—44no—
739C22⋊D43—82no—
740C22⋊D43—82no—
741C22⋊D43—82no—
742C22⋊D43—82no—
743C22⋊D43—82no—
744C22⋊D43—82no—
745C22⋊D43—82no—
746C22⋊D43—82no—
747C22⋊D43—82no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—44no—
782C2×Dic43C22×D412yes—
783C2×Dic43C22×D412yes—
784D172—44no—
785D172—44no—
786D172—44no—
787D172—44no—
788D172—44no—
789D172—82no—
790D172—82no—
791D172—82no—
792D172—82no—
793C4×D43—44no—
794C4×D43—44no—
795C4×D43—44no—
796C4×D43—44no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—82no—
801C4×D43—82no—
802Dic86—44no—
803#36713—431nomaximal, Sylow
804C22×C43—22no—
805C22×C43—22no—
806C22×C43—22no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43C23×D411yescharacteristic
826C22×C43C2×H(5,𝔽2)11yescharacteristic
827C22×C43C2×H(5,𝔽2)11yescharacteristic
828C22×C43C2×H(5,𝔽2)11yescharacteristic
829C22×C43#58511yescharacteristic
830C22×C43#58511yescharacteristic
831C22×C43#58511yescharacteristic
832C2×D43—22no—
833C2×D43—22no—
834C2×D43—22no—
835C2×D43—22no—
836C2×D43—22no—
837C2×D43—22no—
838C2×D43—22no—
839C2×D43—22no—
840C2×D43—22no—
841C2×D43—416no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C4×C43—22no—
869C4×C43—22no—
870C4×C43—22no—
871C4×C43—22no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880Dic43—22no—
881Dic43—22no—
882Dic43—41no—
883Dic43—41no—
884Dic43—41no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891C2×#540—431no—
892C2×#525—431no—
893#2849—431no—
894#2847—431no—
895#2694—431no—
896#2693—431no—
897#2690—431no—
898#2688—431no—
899#2687—431no—
900#2678—431no—
901#2676—431no—
902#2675—431no—
903#2673—431no—
904#2673—431no—
905#2672—431no—
906#2671—431no—
907#2671—431no—
908#2669—431no—
909#2669—431no—
910#2668—431no—
911#2635—431no—
912#2630—431no—
913#2609—431no—
914#2602—431no—
915#2598—431no—
916#2598D4311yescharacteristic, complemented
917#2543—431no—
918#2535—431no—
919#2431—431no—
920#2430—431no—
921#2318—431no—
922C2×C43—42no—
923C2×C43—81no—
924C2×C43—81no—
925C2×C43#344911yescharacteristic
926C2×C43#348411yescharacteristic
927C2×C43#348811yescharacteristic
928C2×C43#353311yescharacteristic
929C2×C43#353411yescharacteristic
930C2×C43#353911yescharacteristic
931C2×C43#354211yescharacteristic
932D43—42no—
933D43—42no—
934D43—42no—
935D43—81no—
936D43—81no—
937C22×#41—431no—
938C24×C4—431no—
939#540—868no—
940C2×#127—431no—
941C2×#127—431no—
942C2×#125—431no—
943C2×#124—431no—
944#525—868no—
945C2×#123—431no—
946C2×#123—431no—
947C2×#123—431no—
948C2×#123—431no—
949C2×#123—431no—
950C2×#123—431no—
951C2×#123—431no—
952C2×C22⋊Q8—431no—
953C2×C22⋊Q8—431no—
954C2×#121—431no—
955C2×#121—431no—
956C2×#121—431no—
957C2×#121—431no—
958C2×#121—431no—
959C2×#121—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121—431no—
967C2×#121—431no—
968C2×#121—431no—
969C2×#121—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×C4×D4—431no—
976C2×C4×D4—431no—
977C2×C4×D4—431no—
978C2×C4×D4—431no—
979C2×C4×D4C2×D4311yescharacteristic, complemented
980C2×#117—431no—
981C2×#117C2×D4311yescharacteristic
982#400—431no—
983#400—431no—
984#400C2×D4311yescharacteristic, complemented
985#399—431no—
986#399—431no—
987#399C2×D4311yescharacteristic
988#398—431no—
989#398—431no—
990#398—431no—
991#397—431no—
992#397—431no—
993#397—431no—
994#397—431no—
995#397—431no—
996#396—431no—
997#396—431no—
998#396—431no—
999#396—431no—
1000#395—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394C2×D4311yescharacteristic, complemented
1014#393—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392C2×D4311yescharacteristic
1030#391—431no—
1031#390—431no—
1032#390—431no—
1033#389—431no—
1034#388—431no—
1035#388—431no—
1036#388—431no—
1037#388—431no—
1038#388—431no—
1039#388—431no—
1040#388—431no—
1041#388—431no—
1042#388C2×D4311yescharacteristic, complemented
1043#388C2×D4311yescharacteristic, complemented
1044#387—431no—
1045#387—431no—
1046#387—431no—
1047#387—431no—
1048#386—431no—
1049#386—431no—
1050#386—431no—
1051#386—431no—
1052#386—431no—
1053#386—431no—
1054#386—431no—
1055#386—431no—
1056#386—431no—
1057#386—431no—
1058#386—431no—
1059#386—431no—
1060#386—431no—
1061#386—431no—
1062#386—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386C2×D4311yescharacteristic
1069#386C2×D4311yescharacteristic
1070#386C2×D4311yescharacteristic
1071#386C2×D4311yescharacteristic
1072#385—431no—
1073#385—431no—
1074#385—431no—
1075#385—431no—
1076#385—431no—
1077#385—431no—
1078#385—431no—
1079#385—431no—
1080#385C2×D4311yescharacteristic, complemented
1081#385C2×D4311yescharacteristic, complemented
1082#383C2×D4311yescharacteristic, complemented
1083#382—431no—
1084#381—431no—
1085#381—431no—
1086#380—431no—
1087#380—431no—
1088#380—431no—
1089#380—431no—
1090#380—431no—
1091#379—431no—
1092C4×C22⋊C4—431no—
1093C2×#95—431no—
1094C43#3671311yescharacteristic, complemented, Sylow
1095C25—431no—
1096C2×#41—864no—
1097C2×#41—1722no—
1098C2×#41—1722no—
1099C22×Q8—431no—
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—431no—
1104C22×D4—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4—431no—
1122C22×D4C22×D4311yescharacteristic
1123C22×D4C22×D4311yescharacteristic
1124C22×D4C22×D4311yescharacteristic
1125C23×C4—431no—
1126C23×C4—431no—
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4—1722no—
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140C23×C4C22×D4311yescharacteristic
1141#127—864no—
1142#127—1722no—
1143#125—864no—
1144#124—1722no—
1145#123—864no—
1146#123—864no—
1147#123—864no—
1148#123—864no—
1149#123—864no—
1150#123—864no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154#121—864no—
1155#121—864no—
1156#121—864no—
1157#121—864no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—864no—
1162#121—1722no—
1163#121—1722no—
1164#121—1722no—
1165#121—1722no—
1166#121—1722no—
1167#121—1722no—
1168#121—1722no—
1169#121—1722no—
1170#120—864no—
1171#120—864no—
1172#120—1722no—
1173#120—1722no—
1174#120—1722no—
1175C4×D4—24no—
1176C4×D4—438no—
1177C4×D4—864no—
1178C4×D4—864no—
1179C4×D4—864no—
1180#117—24no—
1181#117—864no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4—431no—
1197C2×C4⋊C4—431no—
1198C2×C4⋊C4—431no—
1199C2×C4⋊C4—431no—
1200C2×C4⋊C4—431no—
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C4⋊C4C22×D4311yescharacteristic
1205C2×C4⋊C4C22×D4311yescharacteristic
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4C22×D4311yescharacteristic
1249C2×C22⋊C4C22×D4311yescharacteristic
1250C2×C22⋊C4C22×D4311yescharacteristic
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C42—431no—
1261C2×C42—431no—
1262C2×C42—431no—
1263C2×C42C22×D4311yescharacteristic
1264C2×C42C22×D4311yescharacteristic
1265#95—431no—
1266#95—431no—
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95C22×D4311yescharacteristic
1288#95C22×D4311yescharacteristic
1289#95C22×D4311yescharacteristic
1290#95C22×D4311yescharacteristic
1291#95C22×D4311yescharacteristic
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297C24—431no—
1298C24—431no—
1299C24—431no—
1300C24—431no—
1301C24—431no—
1302C24—862no—
1303C24—862no—
1304C24—862no—
1305C24—1721no—
1306C24—1721no—
1307C24—1721no—
1308C24—1721no—
1309C24C23×D4311yescharacteristic
1310C24C23×D4311yescharacteristic
1311C24C23×D4311yescharacteristic
1312#41—17216no—
1313C2×Q8—862no—
1314C2×Q8—862no—
1315C2×Q8—1721no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—434no—
1326C2×D4—862no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—862no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4—1721no—
1355C2×D4—1721no—
1356C2×D4—1721no—
1357C2×D4—1721no—
1358C2×D4—1721no—
1359C2×D4—1721no—
1360C2×D4—1721no—
1361C2×D4—1721no—
1362C2×D4—1721no—
1363C2×D4—1721no—
1364C2×D4—1721no—
1365C2×D4—1721no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—431no—
1401C22×C4—431no—
1402C22×C4—434no—
1403C22×C4—434no—
1404C22×C4—431no—
1405C22×C4—431no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—431no—
1412C22×C4—431no—
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—1721no—
1423C22×C4—1721no—
1424C22×C4—1721no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4—1721no—
1439C22×C4—1721no—
1440C22×C4—17216no—
1441C22×C4—1721no—
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C22×C4C23×D4311yescharacteristic
1450C22×C4C23×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453C22×C4C23×D4311yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—434no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—862no—
1467C4⋊C4—862no—
1468C4⋊C4—862no—
1469C4⋊C4—862no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4—1721no—
1473C4⋊C4—1721no—
1474C4⋊C4—1721no—
1475C4⋊C4—1721no—
1476C4⋊C4—1721no—
1477C4⋊C4—1721no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—434no—
1491C22⋊C4—434no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
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—1721no—
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—1721no—
1531C22⋊C4—1721no—
1532C42—22no—
1533C42—862no—
1534C42—1721no—
1535C42—1721no—
1536C42D4×D4314yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—432no—
1558C23—432no—
1559C23—432no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—861no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—1724no—
1593C23—1724no—
1594C23—1724no—
1595C23—1724no—
1596C23—1724no—
1597C23—1724no—
1598C23—1724no—
1599C23#1306337112yes—
1600C23C24×D4311yescharacteristic
1601Q8—1724no—
1602D4—44no—
1603D4—82no—
1604D4—82no—
1605D4—3442no—
1606D4—3442no—
1607D4—3442no—
1608D4—3442no—
1609D4—3442no—
1610D4—3442no—
1611D4—3442no—
1612D4—3442no—
1613D4—3442no—
1614D4—3442no—
1615D4—3442no—
1616D4—3442no—
1617D4—3442no—
1618D4—3442no—
1619D4—3442no—
1620D4—1724no—
1621D4—1724no—
1622D4—1724no—
1623D4—1724no—
1624D4—1724no—
1625D4—1724no—
1626D4—1724no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—82no—
1661C2×C4—82no—
1662C2×C4—432no—
1663C2×C4—432no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—3442no—
1696C2×C4—3442no—
1697C2×C4—1724no—
1698C2×C4—1724no—
1699C2×C4—1724no—
1700C2×C4—1724no—
1701C2×C4—1724no—
1702C2×C4—1724no—
1703C2×C4—1724no—
1704C2×C4—1724no—
1705C2×C4C2×D4×D4312yes—
1706C2×C4C2×D4×D4312yes—
1707C2×C4C2×D4×D4312yes—
1708C2×C4#1306337112yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—862no—
1731C22—862no—
1732C22—862no—
1733C22—862no—
1734C22—862no—
1735C22—862no—
1736C22—862no—
1737C22—862no—
1738C22—862no—
1739C22—17216no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22C22×D4×D4311yescharacteristic
1767C22H(5,𝔽2)×D4311yescharacteristic
1768C22C2×#1306337111yescharacteristic
1769C22C2×#1306337111yescharacteristic
1770C22#1458373411yescharacteristic
1771C22#1458373511yescharacteristic
1772C22#1458373511yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—862no—
1786C4—862no—
1787C4—1721no—
1788C4—1721no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4—1721no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—3441no—
1800C2—3441no—
1801C2—1722no—
1802C2—1722no—
1803C2—1722no—
1804C2#1914792511yescharacteristic
1805C2#1914822811yescharacteristic
1806C2#1914826211yescharacteristic
1807C2#1914876711yescharacteristic
1808C2#1914878811yescharacteristic
1809C2#1914885211yescharacteristic
1810C2#1914891411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2598C2
hypercenter#2598D43
hypocenterC43#36713
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2598

Complements

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

NH ≅ G/Ntype
1. C2×#14583500C2semidirect
2. C2×#14583411C2semidirect
3. #19142886C2semidirect
4. #19142876C2semidirect
5. #19141122C2semidirect
6. #19141106C2semidirect
7. #19141068C2semidirect
8. #19141038C2semidirect
9. #19141019C2semidirect
10. #19140921C2semidirect
11. #19140903C2semidirect
12. #19140886C2semidirect
13. #19140868C2semidirect
14. #19140867C2semidirect
15. #19140849C2semidirect
16. #19140835C2semidirect
17. #19140829C2semidirect
18. #19140814C2semidirect
19. #19140813C2semidirect
20. #19140804C2semidirect
21. #19140486C2semidirect
22. #19140442C2semidirect
23. #19140267C2semidirect
24. #19140213C2semidirect
25. #19140163C2semidirect
26. #19139560C2semidirect
27. #19139496C2semidirect
28. #19138212C2semidirect
29. #19138202C2semidirect
30. #19137226C2semidirect
31. C43×#2598C2semidirect
37. C2×#13063316C22semidirect
38. C2×#13063311C22semidirect
43. C2×#13063308C22semidirect
46. C2×#13063307C22semidirect
56. C2×#13063299C22semidirect
60. C2×#13063298C22semidirect
61. C2×#13063298C22semidirect
64. C2×#13063296C22semidirect
74. C2×#13063282C22semidirect
75. #14582841C22semidirect
76. #14582839C22semidirect
77. #14582836C22semidirect
78. #14582834C22semidirect
79. #14582832C22semidirect
80. #14582832C22semidirect
81. #14582831C22semidirect
83. #14582828C22semidirect
86. #14582825C22semidirect
88. #14582822C22semidirect
89. #14582821C22semidirect
90. #14582821C22semidirect
91. #14582820C22semidirect
99. #14582815C22semidirect
100. #14582815C22semidirect
101. #14582815C22semidirect
103. #14582814C22semidirect
104. #14582811C22semidirect
107. #14582809C22semidirect
113. #14582808C22semidirect
114. #14582808C22semidirect
118. #14582807C22semidirect
119. #14582803C22semidirect
122. #14582798C22semidirect
123. #14582792C22semidirect
128. #14582791C22semidirect
129. #14582790C22semidirect
131. #14582783C22semidirect
132. #14582782C22semidirect
133. #14582782C22semidirect
134. #14582780C22semidirect
142. #14582777C22semidirect
143. #14582777C22semidirect
144. #14582777C22semidirect
145. #14582777C22semidirect
152. #14582775C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
158. #14582773C22semidirect
159. #14582773C22semidirect
160. #14582773C22semidirect
162. #14582770C22semidirect
163. #14582765C22semidirect
166. #14582759C22semidirect
167. #14582759C22semidirect
172. #14582746C22semidirect
173. #95×D43C22semidirect
174. C2×C4×D4×C43C22semidirect
176. C43×#400C22semidirect
178. C43×#394C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
186. C43×#385C22semidirect
187. C43×#385C22semidirect
188. C43×#383C22semidirect
266. C4×D172D4semidirect
916. #2598D43semidirect
979. C2×C4×D4C2×D43semidirect
984. #400C2×D43semidirect
1013. #394C2×D43semidirect
1042. #388C2×D43semidirect
1043. #388C2×D43semidirect
1080. #385C2×D43semidirect
1081. #385C2×D43semidirect
1082. #383C2×D43semidirect
1094. C43#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#145835002
C2×#145834112
#191428862
#191428762
#191411222
#191411062
#191410682
#191410382
#191410192
#191409212
#191409032
#191408862
#191408682
#191408672
#191408492
#191408352
#191408292
#191408142
#191408132
#191408042
#191404862
#191404422
#191402672
#191402132
#191401632
#191395602
#191394962
#191382122
#191382022
#191372262
C43×#25982
#3671343