Finite Group Databasebeta

← #25303867

Subgroups — #25303867

Order 11008.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142884C211yesmaximal, characteristic, complemented
2#19142876C211yesmaximal, characteristic, complemented
3#19141783C211yesmaximal, characteristic, complemented
4#19141776C211yesmaximal, characteristic, complemented
5#19141750C211yesmaximal, characteristic, complemented
6#19141730C211yesmaximal, characteristic, complemented
7#19141713C211yesmaximal, characteristic, complemented
8#19141506C211yesmaximal, characteristic, complemented
9#19141264C211yesmaximal, characteristic, complemented
10#19141213C211yesmaximal, characteristic, complemented
11#19141177C211yesmaximal, characteristic, complemented
12#19141082C211yesmaximal, characteristic, complemented
13#19140981C211yesmaximal, characteristic, complemented
14#19140979C211yesmaximal, characteristic, complemented
15#19140913C211yesmaximal, characteristic, complemented
16#19140831C211yesmaximal, characteristic, complemented
17#19140800C211yesmaximal, characteristic, complemented
18#19140788C211yesmaximal, characteristic, complemented
19#19140720C211yesmaximal, characteristic, complemented
20#19140111C211yesmaximal, characteristic, complemented
21#19139897C211yesmaximal, characteristic, complemented
22#19139728C211yesmaximal, characteristic, complemented
23#19139725C211yesmaximal, characteristic, complemented
24#19138819C211yesmaximal, characteristic, complemented
25#19138787C211yesmaximal, characteristic, complemented
26#19138702C211yesmaximal, characteristic, complemented
27#19138692C211yesmaximal, characteristic, complemented
28#19137386C211yesmaximal, characteristic, complemented
29#19137354C211yesmaximal, characteristic, complemented
30#19136977C211yesmaximal, characteristic, complemented
31C43×#2706C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33C2×#13063320C2211yescharacteristic
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic, complemented
36C2×#13063309C2211yescharacteristic
37C2×#13063306C2211yescharacteristic
38C2×#13063299C2211yescharacteristic
39C2×#13063298C2211yescharacteristic
40C2×#13063298C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063297C2211yescharacteristic
43C2×#13063297C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063293C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×#13063283C2211yescharacteristic
48C2×#13063283C2211yescharacteristic
49C43⋊#401C2211yescharacteristic, complemented
50#14582841C2211yescharacteristic, complemented
51#14582840C2211yescharacteristic, complemented
52#14582839C2211yescharacteristic, complemented
53#14582838C2211yescharacteristic, complemented
54#14582835C2211yescharacteristic
55#14582835C2211yescharacteristic, complemented
56#14582834C2211yescharacteristic
57#14582834C2211yescharacteristic, complemented
58#14582833C2211yescharacteristic, complemented
59#14582833C2211yescharacteristic, complemented
60#14582833C2211yescharacteristic, complemented
61#14582832C2211yescharacteristic, complemented
62#14582830C2211yescharacteristic, complemented
63#14582829C2211yescharacteristic, complemented
64#14582828C2211yescharacteristic
65#14582827C2211yescharacteristic, complemented
66#14582826C2211yescharacteristic
67#14582826C2211yescharacteristic
68#14582824C2211yescharacteristic, complemented
69#14582822C2211yescharacteristic
70#14582822C2211yescharacteristic
71#14582821C2211yescharacteristic
72#14582821C2211yescharacteristic, complemented
73#14582817C2211yescharacteristic
74#14582817C2211yescharacteristic
75#14582816C2211yescharacteristic
76#14582816C2211yescharacteristic
77#14582815C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582815C2211yescharacteristic, complemented
81#14582815C2211yescharacteristic, complemented
82#14582814C2211yescharacteristic
83#14582814C2211yescharacteristic
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582814C2211yescharacteristic, complemented
87#14582813C2211yescharacteristic
88#14582807C2211yescharacteristic
89#14582807C2211yescharacteristic
90#14582807C2211yescharacteristic, complemented
91#14582802C2211yescharacteristic
92#14582802C2211yescharacteristic, complemented
93#14582800C2211yescharacteristic
94#14582799C2211yescharacteristic
95#14582799C2211yescharacteristic
96#14582799C2211yescharacteristic
97#14582799C2211yescharacteristic, complemented
98#14582798C2211yescharacteristic, complemented
99#14582798C2211yescharacteristic, complemented
100#14582796C2211yescharacteristic, complemented
101#14582794C2211yescharacteristic, complemented
102#14582793C2211yescharacteristic
103#14582793C2211yescharacteristic
104#14582793C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic, complemented
106#14582793C2211yescharacteristic, complemented
107#14582791C2211yescharacteristic, complemented
108#14582790C2211yescharacteristic
109#14582790C2211yescharacteristic
110#14582789C2211yescharacteristic
111#14582789C2211yescharacteristic, complemented
112#14582788C2211yescharacteristic
113#14582788C2211yescharacteristic
114#14582788C2211yescharacteristic, complemented
115#14582787C2211yescharacteristic, complemented
116#14582787C2211yescharacteristic, complemented
117#14582787C2211yescharacteristic, complemented
118#14582786C2211yescharacteristic, complemented
119#14582785C2211yescharacteristic, complemented
120#14582784C2211yescharacteristic, complemented
121#14582783C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582780C2211yescharacteristic, complemented
125#14582780C2211yescharacteristic, complemented
126#14582780C2211yescharacteristic, complemented
127#14582779C2211yescharacteristic
128#14582778C2211yescharacteristic
129#14582778C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582776C2211yescharacteristic, complemented
134#14582775C2211yescharacteristic
135#14582775C2211yescharacteristic
136#14582775C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic, complemented
142#14582774C2211yescharacteristic, complemented
143#14582772C2211yescharacteristic, complemented
144#14582771C2211yescharacteristic, complemented
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic, complemented
150#14582762C2211yescharacteristic
151#14582761C2211yescharacteristic
152#14582761C2211yescharacteristic
153#14582761C2211yescharacteristic, complemented
154#14582760C2211yescharacteristic
155#14582759C2211yescharacteristic
156#14582758C2211yescharacteristic
157#14582758C2211yescharacteristic
158#14582757C2211yescharacteristic
159#14582756C2211yescharacteristic
160#14582756C2211yescharacteristic
161#14582754C2211yescharacteristic
162#14582754C2211yescharacteristic
163#14582754C2211yescharacteristic
164#14582750C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic
166C22⋊C4×Dic43C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic, complemented
168C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic43C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic
171#14582746C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic
173C2×#123×C43C2211yescharacteristic, complemented
174C43×#399C2211yescharacteristic
175C43×#398C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#390C2211yescharacteristic
181C43×#388C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic
184C43×#385C2211yescharacteristic, complemented
185C43×#382C2211yescharacteristic, complemented
186C43×#380C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43—24no—
200C22×C4×D43—42no—
201C22×C4×D43—42no—
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063320—42no—
208#13063320—42no—
209#13063320—42no—
210#13063309—42no—
211#13063306—24no—
212#13063299—42no—
213#13063298—42no—
214#13063298—42no—
215#13063298—42no—
216#13063297—24no—
217#13063297—42no—
218#13063295—42no—
219#13063293—42no—
220#13063293—42no—
221#13063283—42no—
222#13063283—42no—
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C22×D4×C43C2311yescharacteristic
327C22×D4×C43C2311yescharacteristic
328C22×D4×C43C2311yescharacteristic
329C23×C4×C43C2311yescharacteristic
330C23×C4×C43C2311yescharacteristic
331#123×C43—42no—
332#123×C43—42no—
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C42×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C23×D43—22no—
367C23×D43—22no—
368C23×D43—22no—
369C23×D43—41no—
370C23×D43—41no—
371C23×D43—41no—
372C23×D43—41no—
373C23×D43C2411yescharacteristic
374C23×D43C2411yescharacteristic
375C23×D43C2411yescharacteristic
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C22×C4×C43—22no—
386C22×C4×C43—22no—
387C22×C4×C43—41no—
388C22×C4×C43—41no—
389C22×C4×C43—41no—
390C22×C4×C43—41no—
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C2×C22⋊D43—22no—
404C2×C22⋊D43—22no—
405C2×C22⋊D43—22no—
406C2×C22⋊D43—22no—
407C2×C22⋊D43—22no—
408C2×C22⋊D43—22no—
409C2×C22⋊D43—41no—
410C2×C22⋊D43—41no—
411C2×C22⋊D43—41no—
412C2×C22⋊D43—41no—
413C2×C22⋊D43—41no—
414C2×C22⋊D43—41no—
415C2×C22⋊D43—41no—
416C2×C22⋊D43—41no—
417C2×C22⋊D43—41no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C22×Dic43—41no—
425C22×Dic43—41no—
426C22×Dic43—41no—
427C22×Dic43—41no—
428C22×Dic43—41no—
429C22×Dic43#4114yes—
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C2×D172—22no—
444C2×D172—22no—
445C2×D172—41no—
446C2×D172—41no—
447C2×D172—41no—
448C2×D172—41no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—41no—
458C2×C4×D43—41no—
459C2×C4×D43—41no—
460C2×C4×D43—41no—
461C2×C4×D43—41no—
462C2×C4×D43—41no—
463C2×C4×D43—41no—
464C2×C4×D43—416no—
465C4⋊C4×C43—22no—
466C4⋊C4×C43—22no—
467C4⋊C4×C43—41no—
468C4⋊C4×C43—41no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C22⋊C4×C43—22no—
474C22⋊C4×C43—22no—
475C22⋊C4×C43—41no—
476C22⋊C4×C43—41no—
477C22⋊C4×C43—41no—
478C22⋊C4×C43—41no—
479C22⋊C4×C43—41no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C42×C43—41no—
487C22⋊Dic43—22no—
488C22⋊Dic43—22no—
489C22⋊Dic43—22no—
490C22⋊Dic43—22no—
491C22⋊Dic43—41no—
492C22⋊Dic43—41no—
493C22⋊Dic43—41no—
494C22⋊Dic43—41no—
495C22⋊Dic43—41no—
496C22⋊Dic43—41no—
497C22⋊Dic43—41no—
498C22⋊Dic43—41no—
499C22⋊Dic43—41no—
500C22⋊Dic43—41no—
501(C2×D43)⋊C4—22no—
502(C2×D43)⋊C4—22no—
503(C2×D43)⋊C4—22no—
504(C2×D43)⋊C4—22no—
505(C2×D43)⋊C4—22no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—22no—
511(C2×D43)⋊C4—41no—
512(C2×D43)⋊C4—41no—
513(C2×D43)⋊C4—41no—
514(C2×D43)⋊C4—41no—
515(C2×D43)⋊C4—41no—
516(C2×D43)⋊C4—41no—
517(C2×D43)⋊C4—41no—
518(C2×D43)⋊C4—41no—
519(C2×D43)⋊C4—41no—
520(C2×D43)⋊C4—41no—
521(C2×D43)⋊C4—41no—
522(C2×D43)⋊C4—41no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528C4⋊Dic43—22no—
529C4⋊Dic43—41no—
530C4⋊Dic43—41no—
531C4⋊Dic43—41no—
532C4⋊Dic43—41no—
533C4⋊Dic43—41no—
534C4⋊Dic43—41no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4—22no—
538Dic43⋊C4—41no—
539Dic43⋊C4—41no—
540Dic43⋊C4—41no—
541Dic43⋊C4—41no—
542Dic43⋊C4—41no—
543Dic43⋊C4—41no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550C4×Dic43—41no—
551C4×Dic43—41no—
552C4×Dic43—41no—
553C4×Dic43—41no—
554C4×Dic43—41no—
555C4×Dic43—41no—
556C4×Dic43—41no—
557C4×Dic43—41no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43C2×#4112yes—
579C23×C43C2511yescharacteristic
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—21no—
586C22×D43—21no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—21no—
593C22×D43—21no—
594C22×D43—21no—
595C22×D43—21no—
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—21no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43—44no—
602C22×D43—44no—
603C22×D43—44no—
604C22×D43—44no—
605C22×D43—44no—
606C22×D43H(5,𝔽2)12yes—
607C22×D43H(5,𝔽2)12yes—
608D4×C43—82no—
609D4×C43—82no—
610D4×C43—82no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—44no—
647C2×C4×C43—82no—
648C2×C4×C43H(5,𝔽2)12yes—
649C22⋊D43—82no—
650C22⋊D43—82no—
651C22⋊D43—82no—
652C22⋊D43—82no—
653C22⋊D43—82no—
654C22⋊D43—82no—
655C22⋊D43—82no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—44no—
694C2×Dic43—82no—
695C2×Dic43C2×#4112yes—
696C2×Dic43C2×#4112yes—
697D172—82no—
698D172—82no—
699C4×D43—28no—
700C4×D43—44no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—82no—
704#36734—431nomaximal, Sylow
705C22×C43—22no—
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43—41no—
725C22×C43—41no—
726C22×C43C22×#4111yescharacteristic
727C22×C43C2×H(5,𝔽2)11yescharacteristic
728C22×C43C2×H(5,𝔽2)11yescharacteristic
729C22×C43C2×H(5,𝔽2)11yescharacteristic
730C22×C43#58511yescharacteristic
731C22×C43#58511yescharacteristic
732C22×C43#58511yescharacteristic
733C2×D43—22no—
734C2×D43—22no—
735C2×D43—22no—
736C2×D43—22no—
737C2×D43—22no—
738C2×D43—22no—
739C2×D43—416no—
740C2×D43—41no—
741C2×D43—41no—
742C2×D43—41no—
743C2×D43—41no—
744C2×D43—41no—
745C2×D43—41no—
746C2×D43—41no—
747C2×D43—41no—
748C2×D43—41no—
749C2×D43—41no—
750C2×D43—41no—
751C2×D43—41no—
752C2×D43—41no—
753C2×D43—41no—
754C2×D43—41no—
755C4×C43—22no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767Dic43—22no—
768Dic43—22no—
769Dic43—41no—
770Dic43—41no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780#2849—431no—
781#2847—431no—
782#2746—431no—
783#2746—431no—
784#2744—431no—
785#2743—431no—
786#2741—431no—
787#2722—431no—
788#2706D4311yescharacteristic, complemented
789#2705—431no—
790#2701—431no—
791#2699—431no—
792#2691—431no—
793#2685—431no—
794#2685—431no—
795#2678—431no—
796#2671—431no—
797#2668—431no—
798#2667—431no—
799#2661—431no—
800#2595—431no—
801#2576—431no—
802#2559—431no—
803#2559—431no—
804#2479—431no—
805#2476—431no—
806#2471—431no—
807#2470—431no—
808#2335—431no—
809#2333—431no—
810#2280—431no—
811C2×C43—42no—
812C2×C43—81no—
813C2×C43—81no—
814C2×C43#345511yescharacteristic
815C2×C43#349011yescharacteristic
816C2×C43#349411yescharacteristic
817C2×C43#353311yescharacteristic
818C2×C43#353411yescharacteristic
819C2×C43#353911yescharacteristic
820C2×C43#354211yescharacteristic
821D43—42no—
822D43—42no—
823D43—81no—
824C24×C4—431no—
825C2×#126—431no—
826C2×#126—431no—
827C2×#126—431no—
828C2×#123—431no—
829C2×#123—431no—
830C2×#123C2×D4311yescharacteristic
831C2×#123C2×D4311yescharacteristic, complemented
832C2×#121—431no—
833C2×#121—431no—
834C2×#121—431no—
835C2×#121—431no—
836C2×#121—431no—
837C2×#121—431no—
838C2×#120—431no—
839C2×#120—431no—
840C2×#120—431no—
841C2×#117—431no—
842C2×#117—431no—
843#401—431no—
844#400—431no—
845#400—431no—
846#400—431no—
847#400—431no—
848#399—431no—
849#399—431no—
850#399—431no—
851#399—431no—
852#399C2×D4311yescharacteristic
853#398—431no—
854#398—431no—
855#398—431no—
856#398—431no—
857#398—431no—
858#398—431no—
859#398C2×D4311yescharacteristic, complemented
860#397—431no—
861#397—431no—
862#397—431no—
863#397—431no—
864#397—431no—
865#397C2×D4311yescharacteristic, complemented
866#396—431no—
867#396—431no—
868#396—431no—
869#396—431no—
870#396C2×D4311yescharacteristic, complemented
871#394—431no—
872#394—431no—
873#394—431no—
874#394—431no—
875#394—431no—
876#394—431no—
877#394—431no—
878#394—431no—
879#394—431no—
880#394—431no—
881#394—431no—
882#394—431no—
883#394—431no—
884#394—431no—
885#394—431no—
886#394C2×D4311yescharacteristic, complemented
887#392—431no—
888#392—431no—
889#392—431no—
890#392C2×D4311yescharacteristic
891#390—431no—
892#390—431no—
893#390—431no—
894#390—431no—
895#390—431no—
896#390—431no—
897#390—431no—
898#390C2×D4311yescharacteristic
899#389—431no—
900#389—431no—
901#389—431no—
902#389—431no—
903#388—431no—
904#388—431no—
905#388—431no—
906#388—431no—
907#388—431no—
908#388—431no—
909#388—431no—
910#388—431no—
911#388—431no—
912#388—431no—
913#388—431no—
914#388—431no—
915#388—431no—
916#388—431no—
917#388—431no—
918#388—431no—
919#388C2×D4311yescharacteristic, complemented
920#387—431no—
921#387—431no—
922#387—431no—
923#387—431no—
924#387—431no—
925#387—431no—
926#387—431no—
927#387—431no—
928#387—431no—
929#386—431no—
930#386—431no—
931#386—431no—
932#386—431no—
933#386—431no—
934#386—431no—
935#386—431no—
936#386—431no—
937#386—431no—
938#386—431no—
939#386—431no—
940#386—431no—
941#386—431no—
942#386—431no—
943#386—431no—
944#386C2×D4311yescharacteristic
945#386C2×D4311yescharacteristic
946#385—431no—
947#385—431no—
948#385—431no—
949#385—431no—
950#385—431no—
951#385—431no—
952#385—431no—
953#385—431no—
954#385C2×D4311yescharacteristic, complemented
955#382C2×D4311yescharacteristic, complemented
956#381—431no—
957#381—431no—
958#381—431no—
959#381—431no—
960#381—431no—
961#380—431no—
962#380—431no—
963#380—431no—
964#380—431no—
965#380—431no—
966#380—431no—
967#380C2×D4311yescharacteristic
968#379—431no—
969#379—431no—
970#379—431no—
971C4×C4⋊C4—431no—
972C4×C22⋊C4—431no—
973C4×C22⋊C4—431no—
974C4×C22⋊C4—431no—
975C4×C22⋊C4—431no—
976C4×C22⋊C4—431no—
977C4×C22⋊C4—431no—
978C4×C22⋊C4—431no—
979C43#3673411yescharacteristic, complemented, Sylow
980C25—431no—
981C22×D4—431no—
982C22×D4—431no—
983C22×D4—431no—
984C22×D4—431no—
985C22×D4—431no—
986C22×D4—431no—
987C22×D4—431no—
988C22×D4—431no—
989C22×D4—431no—
990C22×D4C22×D4311yescharacteristic
991C22×D4C22×D4311yescharacteristic
992C22×D4C22×D4311yescharacteristic
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—431no—
996C23×C4—431no—
997C23×C4—431no—
998C23×C4—431no—
999C23×C4—431no—
1000C23×C4—864no—
1001C23×C4—1722no—
1002C23×C4—1722no—
1003C23×C4C22×D4311yescharacteristic
1004C23×C4C22×D4311yescharacteristic
1005#126—1722no—
1006#126—1722no—
1007#126—1722no—
1008#123—42no—
1009#123—42no—
1010#123—864no—
1011#123—1722no—
1012#121—864no—
1013#121—1722no—
1014#121—1722no—
1015#121—1722no—
1016#121—1722no—
1017#121—1722no—
1018#120—1722no—
1019#120—1722no—
1020#120—1722no—
1021#117—1722no—
1022#117—1722no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—431no—
1033C2×C4⋊C4—431no—
1034C2×C4⋊C4—431no—
1035C2×C4⋊C4—431no—
1036C2×C4⋊C4—431no—
1037C2×C4⋊C4—431no—
1038C2×C4⋊C4—431no—
1039C2×C4⋊C4—431no—
1040C2×C4⋊C4—431no—
1041C2×C4⋊C4—431no—
1042C2×C4⋊C4—431no—
1043C2×C4⋊C4—431no—
1044C2×C4⋊C4—431no—
1045C2×C4⋊C4C22×D4311yescharacteristic
1046C2×C4⋊C4C22×D4311yescharacteristic
1047C2×C4⋊C4C22×D4311yescharacteristic
1048C2×C4⋊C4C22×D4311yescharacteristic
1049C2×C4⋊C4C22×D4311yescharacteristic
1050C2×C4⋊C4C22×D4311yescharacteristic
1051C2×C4⋊C4C22×D4311yescharacteristic
1052C2×C4⋊C4C22×D4311yescharacteristic
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
1086C2×C22⋊C4—431no—
1087C2×C22⋊C4—431no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4C22×D4311yescharacteristic
1095C2×C22⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4C22×D4311yescharacteristic
1097C2×C22⋊C4C22×D4311yescharacteristic
1098C2×C22⋊C4C22×D4311yescharacteristic
1099C2×C22⋊C4C22×D4311yescharacteristic
1100C2×C22⋊C4C22×D4311yescharacteristic
1101C2×C22⋊C4C22×D4311yescharacteristic
1102C2×C22⋊C4C22×D4311yescharacteristic
1103C2×C22⋊C4C22×D4311yescharacteristic
1104C2×C22⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4C22×D4311yescharacteristic
1106C2×C22⋊C4C22×D4311yescharacteristic
1107C2×C42—431no—
1108C2×C42—431no—
1109C2×C42—431no—
1110C2×C42—431no—
1111C2×C42—431no—
1112C2×C42—431no—
1113C2×C42—431no—
1114C2×C42—431no—
1115C2×C42C22×D4311yescharacteristic
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156C24—431no—
1157C24—431no—
1158C24—431no—
1159C24—862no—
1160C24—862no—
1161C24—862no—
1162C24—1721no—
1163C24—1721no—
1164C24—1721no—
1165C24—1721no—
1166C24C23×D4311yescharacteristic
1167C24C23×D4311yescharacteristic
1168C24C23×D4311yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—862no—
1179C2×D4—862no—
1180C2×D4—862no—
1181C2×D4—862no—
1182C2×D4—862no—
1183C2×D4—862no—
1184C2×D4—862no—
1185C2×D4—862no—
1186C2×D4—1721no—
1187C2×D4—1721no—
1188C2×D4—1721no—
1189C2×D4—1721no—
1190C2×D4—1721no—
1191C2×D4—1721no—
1192C2×D4—1721no—
1193C2×D4—1721no—
1194C2×D4—1721no—
1195C2×D4—1721no—
1196C2×D4—1721no—
1197C2×D4—1721no—
1198C2×D4—1721no—
1199C2×D4—1721no—
1200C2×D4—1721no—
1201C2×D4—1721no—
1202C2×D4—1721no—
1203C2×D4—1721no—
1204C2×D4—1721no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—431no—
1212C22×C4—431no—
1213C22×C4—434no—
1214C22×C4—431no—
1215C22×C4—431no—
1216C22×C4—431no—
1217C22×C4—431no—
1218C22×C4—431no—
1219C22×C4—431no—
1220C22×C4—431no—
1221C22×C4—431no—
1222C22×C4—431no—
1223C22×C4—431no—
1224C22×C4—431no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—862no—
1233C22×C4—1721no—
1234C22×C4—1721no—
1235C22×C4—1721no—
1236C22×C4—1721no—
1237C22×C4—1721no—
1238C22×C4—1721no—
1239C22×C4—1721no—
1240C22×C4—17216no—
1241C22×C4—1721no—
1242C22×C4—1721no—
1243C22×C4—1721no—
1244C22×C4—1721no—
1245C22×C4—1721no—
1246C22×C4C23×D4311yescharacteristic
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C22×C4C23×D4311yescharacteristic
1255C22×C4C23×D4311yescharacteristic
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—862no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—1721no—
1271C4⋊C4—1721no—
1272C4⋊C4—1721no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C4⋊C4—1721no—
1284C4⋊C4—1721no—
1285C4⋊C4—1721no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—862no—
1302C22⋊C4—862no—
1303C22⋊C4—862no—
1304C22⋊C4—862no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—862no—
1308C22⋊C4—862no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—1721no—
1316C22⋊C4—1721no—
1317C22⋊C4—1721no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C22⋊C4—1721no—
1323C22⋊C4—1721no—
1324C22⋊C4—1721no—
1325C22⋊C4—1721no—
1326C22⋊C4—1721no—
1327C22⋊C4—1721no—
1328C22⋊C4—1721no—
1329C22⋊C4—1721no—
1330C22⋊C4—1721no—
1331C22⋊C4—1721no—
1332C22⋊C4—1721no—
1333C22⋊C4—1721no—
1334C22⋊C4—1721no—
1335C22⋊C4—1721no—
1336C22⋊C4—1721no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C22⋊C4—1721no—
1341C22⋊C4—1721no—
1342C42—41no—
1343C42—1721no—
1344C42—1721no—
1345C42—1721no—
1346C42—1721no—
1347C42—1721no—
1348C42—1721no—
1349C42—1721no—
1350C42—1721no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—432no—
1372C23—432no—
1373C23—861no—
1374C23—861no—
1375C23—861no—
1376C23—861no—
1377C23—861no—
1378C23—861no—
1379C23—861no—
1380C23—861no—
1381C23—861no—
1382C23—861no—
1383C23—861no—
1384C23—861no—
1385C23—861no—
1386C23—861no—
1387C23—861no—
1388C23—861no—
1389C23—861no—
1390C23—861no—
1391C23—861no—
1392C23—1724no—
1393C23—1724no—
1394C23—1724no—
1395C23—1724no—
1396C23—1724no—
1397C23—1724no—
1398C23—1724no—
1399C23#41×D4312yes—
1400C23C24×D4311yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—3442no—
1405D4—3442no—
1406D4—3442no—
1407D4—3442no—
1408D4—3442no—
1409D4—3442no—
1410D4—3442no—
1411D4—3442no—
1412D4—3442no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—44no—
1449C2×C4—82no—
1450C2×C4—432no—
1451C2×C4—432no—
1452C2×C4—868no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—3442no—
1491C2×C4—3442no—
1492C2×C4—1724no—
1493C2×C4—1724no—
1494C2×C4—1724no—
1495C2×C4—1724no—
1496C2×C4#1306337012yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—862no—
1519C22—862no—
1520C22—862no—
1521C22—862no—
1522C22—862no—
1523C22—862no—
1524C22—17216no—
1525C22—1721no—
1526C22—1721no—
1527C22—1721no—
1528C22—1721no—
1529C22—1721no—
1530C22—1721no—
1531C22—1721no—
1532C22—1721no—
1533C22—1721no—
1534C22—1721no—
1535C22—1721no—
1536C22—1721no—
1537C22—1721no—
1538C22—1721no—
1539C22—1721no—
1540C22C2×#41×D4311yescharacteristic
1541C22H(5,𝔽2)×D4311yescharacteristic
1542C22H(5,𝔽2)×D4311yescharacteristic
1543C22C2×#1306337011yescharacteristic
1544C22#1458373411yescharacteristic
1545C22#1458373511yescharacteristic
1546C22#1458373611yescharacteristic
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—862no—
1560C4—862no—
1561C4—1721no—
1562C4—1721no—
1563C4—1721no—
1564C4—1721no—
1565C4—1721no—
1566C4—1721no—
1567C4—1721no—
1568C4—1721no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C2—42no—
1573C2—81no—
1574C2—81no—
1575C2—3441no—
1576C2—1722no—
1577C2—1722no—
1578C2#1914798111yescharacteristic
1579C2#1914827711yescharacteristic
1580C2#1914832111yescharacteristic
1581C2#1914875511yescharacteristic
1582C2#1914878711yescharacteristic
1583C2#1914885011yescharacteristic
1584C2#1914891311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2706C2
hypercenter#2706D43
hypocenterC43#36734
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2706

Complements

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

NH ≅ G/Ntype
1. #19142884C2semidirect
2. #19142876C2semidirect
3. #19141783C2semidirect
4. #19141776C2semidirect
5. #19141750C2semidirect
6. #19141730C2semidirect
7. #19141713C2semidirect
8. #19141506C2semidirect
9. #19141264C2semidirect
10. #19141213C2semidirect
11. #19141177C2semidirect
12. #19141082C2semidirect
13. #19140981C2semidirect
14. #19140979C2semidirect
15. #19140913C2semidirect
16. #19140831C2semidirect
17. #19140800C2semidirect
18. #19140788C2semidirect
19. #19140720C2semidirect
20. #19140111C2semidirect
21. #19139897C2semidirect
22. #19139728C2semidirect
23. #19139725C2semidirect
24. #19138819C2semidirect
25. #19138787C2semidirect
26. #19138702C2semidirect
27. #19138692C2semidirect
28. #19137386C2semidirect
29. #19137354C2semidirect
30. #19136977C2semidirect
31. C43×#2706C2semidirect
35. C2×#13063320C22semidirect
49. C43⋊#401C22semidirect
50. #14582841C22semidirect
51. #14582840C22semidirect
52. #14582839C22semidirect
53. #14582838C22semidirect
55. #14582835C22semidirect
57. #14582834C22semidirect
58. #14582833C22semidirect
59. #14582833C22semidirect
60. #14582833C22semidirect
61. #14582832C22semidirect
62. #14582830C22semidirect
63. #14582829C22semidirect
65. #14582827C22semidirect
68. #14582824C22semidirect
72. #14582821C22semidirect
80. #14582815C22semidirect
81. #14582815C22semidirect
86. #14582814C22semidirect
90. #14582807C22semidirect
92. #14582802C22semidirect
97. #14582799C22semidirect
98. #14582798C22semidirect
99. #14582798C22semidirect
100. #14582796C22semidirect
101. #14582794C22semidirect
104. #14582793C22semidirect
105. #14582793C22semidirect
106. #14582793C22semidirect
107. #14582791C22semidirect
111. #14582789C22semidirect
114. #14582788C22semidirect
115. #14582787C22semidirect
116. #14582787C22semidirect
117. #14582787C22semidirect
118. #14582786C22semidirect
119. #14582785C22semidirect
120. #14582784C22semidirect
121. #14582783C22semidirect
122. #14582781C22semidirect
123. #14582781C22semidirect
124. #14582780C22semidirect
125. #14582780C22semidirect
126. #14582780C22semidirect
133. #14582776C22semidirect
141. #14582775C22semidirect
142. #14582774C22semidirect
143. #14582772C22semidirect
144. #14582771C22semidirect
149. #14582770C22semidirect
153. #14582761C22semidirect
164. #14582750C22semidirect
167. C22⋊C4×Dic43C22semidirect
168. C4×(C2×D43)⋊C4C22semidirect
169. C4×C22⋊Dic43C22semidirect
173. C2×#123×C43C22semidirect
175. C43×#398C22semidirect
176. C43×#397C22semidirect
177. C43×#396C22semidirect
178. C43×#394C22semidirect
181. C43×#388C22semidirect
184. C43×#385C22semidirect
185. C43×#382C22semidirect
788. #2706D43semidirect
831. C2×#123C2×D43semidirect
859. #398C2×D43semidirect
865. #397C2×D43semidirect
870. #396C2×D43semidirect
886. #394C2×D43semidirect
919. #388C2×D43semidirect
954. #385C2×D43semidirect
955. #382C2×D43semidirect
979. C43#36734semidirect

Maximal subgroups

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

subgroupindex
#191428842
#191428762
#191417832
#191417762
#191417502
#191417302
#191417132
#191415062
#191412642
#191412132
#191411772
#191410822
#191409812
#191409792
#191409132
#191408312
#191408002
#191407882
#191407202
#191401112
#191398972
#191397282
#191397252
#191388192
#191387872
#191387022
#191386922
#191373862
#191373542
#191369772
C43×#27062
#3673443