Finite Group Databasebeta

← #33967900

Subgroups — #33967900

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623536C211yesmaximal, characteristic, complemented
2D4×#11924027C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622633C211yesmaximal, characteristic, complemented
7#22622403C211yesmaximal, characteristic, complemented
8#22622396C211yesmaximal, characteristic, complemented
9#22622283C211yesmaximal, characteristic, complemented
10#22622072C211yesmaximal, characteristic, complemented
11#22622065C211yesmaximal, characteristic, complemented
12#22621892C211yesmaximal, characteristic, complemented
13#22621885C211yesmaximal, characteristic, complemented
14#22621748C211yesmaximal, characteristic, complemented
15#22621737C211yesmaximal, characteristic, complemented
16D8×C22⋊D73C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22620664C211yesmaximal, characteristic, complemented
19#22620626C211yesmaximal, characteristic, complemented
20#22620622C211yesmaximal, characteristic, complemented
21#22620075C211yesmaximal, characteristic, complemented
22#22620070C211yesmaximal, characteristic, complemented
23#22620068C211yesmaximal, characteristic, complemented
24#22620021C211yesmaximal, characteristic, complemented
25#22620017C211yesmaximal, characteristic, complemented
26#22620017C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic73C211yesmaximal, characteristic, complemented
29C2×#17988699C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C22×#11924027—21no—
33C2×D8×D73C2211yescharacteristic
34#17989319C2211yescharacteristic, complemented
35#17989296C2211yescharacteristic, complemented
36#17989295C2211yescharacteristic, complemented
37#17989284C2211yescharacteristic, complemented
38#17989283C2211yescharacteristic, complemented
39#17989280—21no—
40#17989263—21no—
41#17989260—21no—
42#17989257C2211yescharacteristic, complemented
43D4×Dic146C2211yescharacteristic, complemented
44#17989243—21no—
45#17989241C2211yescharacteristic, complemented
46#17989237C2211yescharacteristic
47#17989237C2211yescharacteristic, complemented
48#17989231—21no—
49#17989225C2211yescharacteristic, complemented
50#17989224—21no—
51#17989224—21no—
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54D4×C22⋊D73C2211yescharacteristic, complemented
55D4×C22⋊D73C2211yescharacteristic, complemented
56#17989135C2211yescharacteristic, complemented
57#17989132C2211yescharacteristic, complemented
58#17989132C2211yescharacteristic, complemented
59#17989132C2211yescharacteristic, complemented
60#17989123C2211yescharacteristic, complemented
61#17989116C2211yescharacteristic, complemented
62#17989114—21no—
63#17989097—21no—
64#17989097—21no—
65#17989093—21no—
66#17989093—21no—
67#17989093—21no—
68#41×Dic73C2211yescharacteristic, complemented
69C4×#11924027C2211yescharacteristic
70C2×D4×Dic73C2211yescharacteristic, complemented
71C2×D4×Dic73C2211yescharacteristic, complemented
72C2×D4×Dic73C2211yescharacteristic, complemented
73C2×#14556551—21no—
74C4×D4×D73C2211yescharacteristic, complemented
75C4×D4×D73C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988984C2211yescharacteristic, complemented
79#17988973C2211yescharacteristic, complemented
80#17988962C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988916C2211yescharacteristic, complemented
88#17988915C2211yescharacteristic, complemented
89#17988912C2211yescharacteristic, complemented
90#17988908C2211yescharacteristic, complemented
91#17988906C2211yescharacteristic, complemented
92#17988906C2211yescharacteristic, complemented
93#17988904C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988903C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988888C2211yescharacteristic, complemented
100#17988887C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988878C2211yescharacteristic, complemented
104#17988877C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988875C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988865C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988820C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988818C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988780C2211yescharacteristic
126#17988780C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic, complemented
130#17988779C2211yescharacteristic, complemented
131#17988736C2211yescharacteristic, complemented
132#17988732C2211yescharacteristic, complemented
133#17988721C2211yescharacteristic
134#17988721C2211yescharacteristic, complemented
135#17988721C2211yescharacteristic, complemented
136#17988719C2211yescharacteristic
137#17988719C2211yescharacteristic, complemented
138#17988719C2211yescharacteristic, complemented
139#17988716C2211yescharacteristic, complemented
140#17988715C2211yescharacteristic, complemented
141#17988700C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic
143#17988699C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988699C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988699C2211yescharacteristic, complemented
148#17988699C2211yescharacteristic, complemented
149#17988699C2211yescharacteristic, complemented
150#17988699C2211yescharacteristic, complemented
151#17988699C2211yescharacteristic, complemented
152#17988698C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic, complemented
155#17988696C2211yescharacteristic, complemented
156#17988696C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic
167D8×Dic73C2211yescharacteristic, complemented
168#17988661C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177C2×#14556523C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988592C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic, complemented
181C2×#14556512C2211yescharacteristic, complemented
182C2×#14556512C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C22×D8×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—48no—
212C2×#11924027D411yescharacteristic
213C22×Dic146—21no—
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C23×Dic73—21no—
220C23×Dic73—21no—
221C23×Dic73—21no—
222C22×C4×D73—21no—
223C22×C4×D73—21no—
224C2×#11924015C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231D8×D73—24no—
232C2×#11924012C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556586—21no—
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556583C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556580C2311yescharacteristic
251#14556578—21no—
252#14556577—21no—
253#14556577—21no—
254#14556577—21no—
255#14556577—21no—
256#14556575—21no—
257#14556575—21no—
258#14556575—21no—
259#14556575—21no—
260#14556574—21no—
261#14556573—21no—
262#14556573—21no—
263#14556573—21no—
264#14556573—21no—
265#14556573—21no—
266#14556572—21no—
267#14556572—21no—
268#14556572—21no—
269#14556571—21no—
270#14556571—21no—
271#14556570—21no—
272#14556570—21no—
273#14556568—21no—
274#14556568—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556568—21no—
279#14556568—21no—
280#14556567C2311yescharacteristic
281#14556565C2311yescharacteristic
282#14556565C2311yescharacteristic
283#14556565C2311yescharacteristic
284#14556565C2311yescharacteristic
285#14556563—21no—
286#14556563—21no—
287#14556563—21no—
288#14556563—21no—
289#14556563—21no—
290#14556563—21no—
291#14556563—21no—
292#14556563—21no—
293#14556563—21no—
294#14556563—21no—
295#14556562—21no—
296#14556562—21no—
297#14556562—21no—
298#14556562C2311yescharacteristic
299#14556562C2311yescharacteristic
300#14556562C2311yescharacteristic
301#14556560—21no—
302#14556560—21no—
303#14556560—21no—
304#14556559—21no—
305#14556559—21no—
306#14556559—21no—
307#14556559—21no—
308Q8×Dic73C2311yescharacteristic
309Q8×Dic73C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556D411yescharacteristic
312C4×D292C2311yescharacteristic
313C4×D292C2311yescharacteristic
314D4×Dic73—21no—
315D4×Dic73—21no—
316D4×Dic73—21no—
317D4×Dic73—21no—
318D4×Dic73—21no—
319D4×Dic73—21no—
320D4×Dic73—21no—
321D4×Dic73—21no—
322D4×Dic73—21no—
323D4×Dic73D411yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330D4×Dic73C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73C2311yescharacteristic
341C4×C22⋊D73C2311yescharacteristic
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551D411yescharacteristic
354#14556551D411yescharacteristic
355#14556550—21no—
356#14556550C2311yescharacteristic
357#14556549—21no—
358#14556549D411yescharacteristic
359#14556547—21no—
360#14556547D411yescharacteristic
361#14556547D411yescharacteristic
362C2×C4⋊Dic73C2311yescharacteristic
363C2×C4⋊Dic73C2311yescharacteristic
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C2×C22⋊Dic73—21no—
369C2×C22⋊Dic73—21no—
370C2×C22⋊Dic73—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C2×C4×Dic73—21no—
375C2×C4×Dic73C2311yescharacteristic
376C2×C4×Dic73C2311yescharacteristic
377C42×D73C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556515C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556513C2311yescharacteristic
402#14556513C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556512C2311yescharacteristic
408#14556512C2311yescharacteristic
409#14556512C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556502C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73—21no—
439C22×D4×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442AGL(1,ℤ/8)×C73—24no—
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×D8×C73—24no—
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#123×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73—21no—
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#120×C73—21no—
465#120×C73—21no—
466#120×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C2×C22⋊C4×C73—21no—
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484#11924027—24no—
485#11924027—44no—
486#11924027—44no—
487#11924027—44no—
488#11924027—44no—
489#11924027—44no—
490#11924027—44no—
491#11924027—44no—
492#11924027—82no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—44no—
498C2×Dic146C2×D411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—44no—
517C2×C22⋊D73—44no—
518C2×C22⋊D73—44no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521D4×D73—22no—
522D4×D73—22no—
523D4×D73—41no—
524D4×D73—41no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—44no—
541C22×Dic73—44no—
542C22×Dic73—82no—
543C22×Dic73C2×D411yescharacteristic
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C22×Dic73C2×D411yescharacteristic
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—44no—
554C2×C4×D73—82no—
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2×D411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558#11924015—41no—
559D584—22no—
560#11924013—22no—
561#11924013—22no—
562#11924013—41no—
563#11924013—41no—
564#11924013—41no—
565#11924012—41no—
566C2×#10596831—41no—
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C8×D73—22no—
572C8×D73—41no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C24×C73—21no—
644C24×C73—21no—
645C24×C73—21no—
646#41×C73—22no—
647#41×C73—41no—
648C2×Q8×C73C2411yescharacteristic
649C2×D4×C73—22no—
650C2×D4×C73—22no—
651C2×D4×C73—22no—
652C2×D4×C73—21no—
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—41no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73—44no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73C2411yescharacteristic
675C22×C4×C73C2411yescharacteristic
676SD16×C73—22no—
677SD16×C73—22no—
678SD16×C73—41no—
679D8×C73—22no—
680D8×C73—22no—
681D8×C73—22no—
682D8×C73—22no—
683D8×C73—41no—
684D8×C73#4114yescomplemented
685M16×C73—22no—
686C2×C8×C73—22no—
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C2×C8×C73C2411yescharacteristic
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—42no—
712C23×C73—42no—
713C23×C73—42no—
714C23×C73—42no—
715C23×C73—42no—
716C23×C73—42no—
717C23×C73—81no—
718C23×C73—81no—
719C23×C73—81no—
720C23×C73C22×D411yescharacteristic
721C23×C73C22×D411yescharacteristic
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—42no—
727C22×D73—42no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73C22×D411yescharacteristic
731Q8×C73—21no—
732Q8×C73—21no—
733D4×C73—22no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—42no—
743D4×C73—42no—
744D4×C73—42no—
745D4×C73—42no—
746D4×C73—42no—
747D4×C73—42no—
748D4×C73—42no—
749D4×C73—81no—
750D4×C73—81no—
751D4×C73C2×#4112yes—
752D4×C73C2×#4112yescomplemented
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—42no—
761C2×C4×C73—42no—
762C2×C4×C73—81no—
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C2511yescharacteristic
768C22⋊D73—22no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73AGL(1,ℤ/8)14yescomplemented
785C2×Dic73—22no—
786C2×Dic73—22no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—41no—
794C2×Dic73—41no—
795C2×Dic73—42no—
796C2×Dic73—42no—
797C2×Dic73—42no—
798C2×Dic73—42no—
799C2×Dic73—42no—
800C2×Dic73—42no—
801C2×Dic73—42no—
802C2×Dic73—42no—
803C2×Dic73—42no—
804C2×Dic73—42no—
805C2×Dic73—42no—
806C2×Dic73—42no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73—81no—
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821C4×D73—22no—
822C4×D73—21no—
823C4×D73—21no—
824C4×D73—41no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—81no—
830C4×D73—81no—
831Dic146—22no—
832Dic146—42no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73C2×#4112yescomplemented
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—22no—
848C22×C73—22no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—84no—
865C22×C73—84no—
866C22×C73—84no—
867C22×C73C2×AGL(1,ℤ/8)12yes—
868C22×C73C23×D411yescharacteristic
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73C2×AGL(1,ℤ/8)12yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—41no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73C22×#4111yescharacteristic
888C4×C73#58511yescharacteristic
889Dic73—21no—
890Dic73—21no—
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—41no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73C2×AGL(1,ℤ/8)12yes—
902#61451—731nomaximal, Sylow
903C2×C73—22no—
904C2×C73—42no—
905C2×C73—42no—
906C2×C73—41no—
907C2×C73—81no—
908C2×C73—81no—
909C2×C73—81no—
910C2×C73D4×#4111yescharacteristic
911C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
912C2×C73#358511yescharacteristic
913D73—22no—
914D73—81no—
915D73—81no—
916#3481—731no—
917D4×#41—731no—
918#3399—731no—
919#3384—731no—
920#3373—731no—
921#3366—731no—
922#3345—731no—
923#3345—731no—
924#3335—731no—
925#3318—731no—
926#3318—731no—
927#3306—731no—
928#3306—731no—
929#3295—731no—
930#3294—731no—
931D4×D8—731no—
932#3264—731no—
933#3264D7311yescharacteristic, complemented
934#3184—731no—
935#3180—731no—
936#3180—731no—
937#3115—731no—
938#3114—731no—
939#3114—731no—
940#3109—731no—
941#3109—731no—
942#3109—731no—
943#2970—731no—
944C4×AGL(1,ℤ/8)—731no—
945C2×#442—731no—
946C2×#442—731no—
947C73#6145111yescharacteristic, complemented, Sylow
948C22×#41—1461no—
949C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
950C22×D8—731no—
951C22×D8C2×D7311yescharacteristic
952#559—731no—
953#554—731no—
954#554—731no—
955#553—731no—
956#553—731no—
957#553—1461no—
958#551—1461no—
959#551—1461no—
960#550—731no—
961D4×Q8—731no—
962#548—1461no—
963#547—731no—
964#547—731no—
965#547—731no—
966#546—731no—
967#546—1461no—
968#546—1461no—
969#546—1461no—
970#546—1461no—
971#546C2×D7311yescharacteristic, complemented
972D42—731no—
973D42—731no—
974D42—731no—
975D42C2×D7311yescharacteristic, complemented
976#532—731no—
977#532—731no—
978#532—731no—
979#532—731no—
980#529—731no—
981#529—731no—
982#529—1461no—
983#525—1461no—
984#525—1461no—
985#525—1461no—
986#525—1461no—
987#525—1461no—
988C4×#41—731no—
989C4×#41—731no—
990C2×C4×D4—731no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—731no—
994C2×C4×D4—731no—
995C2×C4×D4—1461no—
996#501—731no—
997#501—731no—
998#498—731no—
999#496—731no—
1000#496C2×D7311yescharacteristic, complemented
1001#493—731no—
1002#490—731no—
1003#490—731no—
1004#489—731no—
1005#489—731no—
1006#486—731no—
1007#486—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482—731no—
1012#481—731no—
1013#481—731no—
1014#481—731no—
1015#481—731no—
1016#481—731no—
1017#481—731no—
1018#480—731no—
1019#480—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#478—731no—
1024#476—731no—
1025#476—731no—
1026#476—731no—
1027#476—731no—
1028#476—731no—
1029#476—731no—
1030#475—731no—
1031#474—731no—
1032#469—731no—
1033#469—731no—
1034#469—731no—
1035#469C2×D7311yescharacteristic, complemented
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#466—731no—
1040#465—731no—
1041#465—731no—
1042#465—731no—
1043#465C2×D7311yescharacteristic, complemented
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463C2×D7311yescharacteristic, complemented
1048#460—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#459—731no—
1055#459C2×D7311yescharacteristic, complemented
1056#450—731no—
1057#450C2×D7311yescharacteristic, complemented
1058#449—731no—
1059#449C2×D7311yescharacteristic, complemented
1060#447—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#447C2×D7311yescharacteristic, complemented
1067#447C2×D7311yescharacteristic, complemented
1068#446—731no—
1069#446—731no—
1070#442—731no—
1071#442—731no—
1072#442—731no—
1073#442—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442—731no—
1078#442—731no—
1079#442—731no—
1080#442—731no—
1081#442—731no—
1082#442—731no—
1083#442—731no—
1084#442—731no—
1085#442—731no—
1086#442—731no—
1087#442—731no—
1088#442—731no—
1089#442C2×D7311yescharacteristic
1090#440—731no—
1091#440—731no—
1092#440—731no—
1093#440—731no—
1094C4×SD16—731no—
1095C4×SD16—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098#435—731no—
1099#435—731no—
1100#435—731no—
1101#435C2×D7311yescharacteristic, complemented
1102C8×D4—731no—
1103C8×D4—731no—
1104#432—731no—
1105#432—731no—
1106#432—731no—
1107#428—731no—
1108C2×#106—731no—
1109C2×#106—731no—
1110#418—731no—
1111#417—731no—
1112C2×#102—731no—
1113C2×#102—731no—
1114C2×#102—731no—
1115C2×#102—731no—
1116C4×M16—731no—
1117C2×#97—731no—
1118C2×#97—731no—
1119C2×#41—2928no—
1120C2×#41—731no—
1121C2×#41—1461no—
1122C2×#41—1461no—
1123C2×#41—1461no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41C22×D7311yescharacteristic
1130C22×Q8—1461no—
1131C22×D4—21no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C22×D4C22×D7311yescharacteristic
1138C22×D4C22×D7311yescharacteristic
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—1461no—
1141C23×C4—1461no—
1142C23×C4—1461no—
1143C23×C4—1461no—
1144C23×C4—1461no—
1145AGL(1,ℤ/8)—24no—
1146C2×SD16—731no—
1147C2×SD16C22×D7311yescharacteristic
1148C2×SD16C22×D7311yescharacteristic
1149C2×SD16C22×D7311yescharacteristic
1150C2×D8—24no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—1464no—
1158C2×D8C22×D7311yescharacteristic
1159C2×D8C22×D7311yescharacteristic
1160C2×D8C22×D7311yescharacteristic
1161C2×D8C22×D7311yescharacteristic
1162C2×D8C22×D7311yescharacteristic
1163C2×D8C22×D7311yescharacteristic
1164C2×M16—731no—
1165C2×M16C22×D7311yescharacteristic
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8—731no—
1169C22×C8C22×D7311yescharacteristic
1170C4⋊Q8—731no—
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8—731no—
1174#127—731no—
1175#127—731no—
1176#127—731no—
1177#127C22×D7311yescharacteristic
1178#126—1461no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—731no—
1184#125—1461no—
1185#124—731no—
1186#124—1461no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124C22×D7311yescharacteristic
1192#123—21no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8C22×D7311yescharacteristic
1219#121—21no—
1220#121—21no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121C22×D7311yescharacteristic
1242#121C22×D7311yescharacteristic
1243#121C22×D7311yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4C22×D7311yescharacteristic
1302C4×D4C22×D7311yescharacteristic
1303C4×D4C22×D7311yescharacteristic
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—1461no—
1309#117—1461no—
1310#117—1461no—
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—731no—
1313C2×C4⋊C4—731no—
1314C2×C4⋊C4—731no—
1315C2×C4⋊C4—731no—
1316C2×C4⋊C4—1461no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C42—731no—
1325C2×C42—731no—
1326C2×C42—731no—
1327C2×C42—1461no—
1328#107—731no—
1329#107—731no—
1330#107—731no—
1331#107—731no—
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106—731no—
1342#106—731no—
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8C22×D7311yescharacteristic
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103C22×D7311yescharacteristic
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8C22×D7311yescharacteristic
1387C22⋊C8C22×D7311yescharacteristic
1388#97—731no—
1389#97—731no—
1390#97—731no—
1391#97—731no—
1392#97—731no—
1393#97—731no—
1394#97—731no—
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C24—21no—
1399C24—21no—
1400C24—21no—
1401C24—1461no—
1402C24—1461no—
1403#41—22no—
1404#41—41no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2924no—
1410#41—2924no—
1411#41—2924no—
1412#41—5842no—
1413#41—1464no—
1414C2×Q8—2924no—
1415C2×Q8—731no—
1416C2×Q8—1461no—
1417C2×Q8—1461no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8C23×D7311yescharacteristic
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—44no—
1437C2×D4—2924no—
1438C2×D4—2924no—
1439C2×D4—2924no—
1440C2×D4—2921no—
1441C2×D4—2921no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—731no—
1445C2×D4—731no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1462no—
1461C2×D4—1462no—
1462C2×D4—1461no—
1463C2×D4D4×D7311yescharacteristic
1464C2×D4C23×D7311yescharacteristic
1465C2×D4C23×D7311yescharacteristic
1466C2×D4C23×D7311yescharacteristic
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—2924no—
1473C22×C4—2924no—
1474C22×C4—2924no—
1475C22×C4—5842no—
1476C22×C4—5842no—
1477C22×C4—731no—
1478C22×C4—731no—
1479C22×C4—731no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—1461no—
1485C22×C4—1461no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4C23×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507SD16—22no—
1508SD16—22no—
1509SD16—41no—
1510SD16—2921no—
1511D8—22no—
1512D8—22no—
1513D8—22no—
1514D8—22no—
1515D8—41no—
1516D8—2921no—
1517D8—2921no—
1518D8—2921no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8#1192402714yescomplemented
1523M16—22no—
1524M16—2921no—
1525C2×C8—22no—
1526C2×C8—2921no—
1527C2×C8—2921no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—731no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—731no—
1539C4⋊C4—731no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4D4×D7311yescharacteristic
1566C4⋊C4C23×D7311yescharacteristic
1567C4⋊C4C23×D7311yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—731no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—731no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4D4×D7311yescharacteristic
1608C22⋊C4D4×D7311yescharacteristic
1609C42—731no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—731no—
1616C42—731no—
1617C42—731no—
1618C42—1461no—
1619C42—1461no—
1620C42—1461no—
1621C42C23×D7311yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—42no—
1631C23—42no—
1632C23—42no—
1633C23—81no—
1634C23—81no—
1635C23—81no—
1636C23—2922no—
1637C23—2922no—
1638C23—2922no—
1639C23—2922no—
1640C23—5841no—
1641C23—5841no—
1642C23—731no—
1643C23—1461no—
1644C23—1461no—
1645C23C2×D4×D7311yescharacteristic
1646C23C2×D4×D7311yescharacteristic
1647Q8—21no—
1648Q8—21no—
1649Q8—2922no—
1650Q8—2922no—
1651Q8—2922no—
1652Q8—5841no—
1653Q8—1462no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—42no—
1669D4—42no—
1670D4—81no—
1671D4—81no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—5841no—
1684D4—5841no—
1685D4—5841no—
1686D4—5841no—
1687D4—734no—
1688D4—1462no—
1689D4—1461no—
1690D4—1461no—
1691D4—1461no—
1692D4—1461no—
1693D4C2×#1192402712yes—
1694D4C2×#1192402712yescomplemented
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—2922no—
1706C2×C4—2921no—
1707C2×C4—2922no—
1708C2×C4—2922no—
1709C2×C4—2922no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2922no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2921no—
1723C2×C4—2921no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—731no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—1462no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1462no—
1744C2×C4—1462no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1461no—
1756C8—1461no—
1757C8—1461no—
1758C8—1461no—
1759C8C2×#1192402712yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—22no—
1765C22—22no—
1766C22—21no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—84no—
1781C22—84no—
1782C22—84no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—5844no—
1790C22—5844no—
1791C22—732no—
1792C22—1461no—
1793C22—1461no—
1794C22AGL(1,ℤ/8)×D7312yes—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—2921no—
1804C4—2921no—
1805C4—2921no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—732no—
1810C4—1461no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C22×#1192402711yescharacteristic
1817C4#1798942211yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—42no—
1821C2—42no—
1822C2—81no—
1823C2—81no—
1824C2—81no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2D4×#1192402711yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1830C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#61451
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22623536C2semidirect
2. D4×#11924027C2semidirect
3. #22622970C2semidirect
4. #22622831C2semidirect
5. #22622718C2semidirect
6. #22622633C2semidirect
7. #22622403C2semidirect
8. #22622396C2semidirect
9. #22622283C2semidirect
10. #22622072C2semidirect
11. #22622065C2semidirect
12. #22621892C2semidirect
13. #22621885C2semidirect
14. #22621748C2semidirect
15. #22621737C2semidirect
16. D8×C22⋊D73C2semidirect
17. #22621405C2semidirect
18. #22620664C2semidirect
19. #22620626C2semidirect
20. #22620622C2semidirect
21. #22620075C2semidirect
22. #22620070C2semidirect
23. #22620068C2semidirect
24. #22620021C2semidirect
25. #22620017C2semidirect
26. #22620017C2semidirect
27. #22618941C2semidirect
28. AGL(1,ℤ/8)×Dic73C2semidirect
29. C2×#17988699C2semidirect
30. #442×D73C2semidirect
31. C73×#3264C2semidirect
34. #17989319C22semidirect
35. #17989296C22semidirect
36. #17989295C22semidirect
37. #17989284C22semidirect
38. #17989283C22semidirect
42. #17989257C22semidirect
43. D4×Dic146C22semidirect
45. #17989241C22semidirect
47. #17989237C22semidirect
49. #17989225C22semidirect
54. D4×C22⋊D73C22semidirect
55. D4×C22⋊D73C22semidirect
56. #17989135C22semidirect
57. #17989132C22semidirect
58. #17989132C22semidirect
59. #17989132C22semidirect
60. #17989123C22semidirect
61. #17989116C22semidirect
68. #41×Dic73C22semidirect
70. C2×D4×Dic73C22semidirect
71. C2×D4×Dic73C22semidirect
72. C2×D4×Dic73C22semidirect
74. C4×D4×D73C22semidirect
75. C4×D4×D73C22semidirect
76. #17988996C22semidirect
77. #17988994C22semidirect
78. #17988984C22semidirect
79. #17988973C22semidirect
80. #17988962C22semidirect
81. #17988951C22semidirect
82. #17988950C22semidirect
83. #17988948C22semidirect
84. #17988946C22semidirect
85. #17988932C22semidirect
86. #17988932C22semidirect
87. #17988916C22semidirect
88. #17988915C22semidirect
89. #17988912C22semidirect
90. #17988908C22semidirect
91. #17988906C22semidirect
92. #17988906C22semidirect
93. #17988904C22semidirect
94. #17988904C22semidirect
95. #17988903C22semidirect
96. #17988903C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988888C22semidirect
100. #17988887C22semidirect
101. #17988885C22semidirect
102. #17988885C22semidirect
103. #17988878C22semidirect
104. #17988877C22semidirect
105. #17988875C22semidirect
106. #17988875C22semidirect
107. #17988875C22semidirect
108. #17988875C22semidirect
109. #17988870C22semidirect
110. #17988865C22semidirect
111. #17988840C22semidirect
112. #17988838C22semidirect
113. #17988838C22semidirect
114. #17988823C22semidirect
115. #17988821C22semidirect
116. #17988820C22semidirect
117. #17988820C22semidirect
118. #17988818C22semidirect
119. #17988813C22semidirect
120. #17988813C22semidirect
121. #17988804C22semidirect
122. #17988804C22semidirect
123. #17988799C22semidirect
124. #17988785C22semidirect
126. #17988780C22semidirect
127. #17988780C22semidirect
128. #17988780C22semidirect
129. #17988780C22semidirect
130. #17988779C22semidirect
131. #17988736C22semidirect
132. #17988732C22semidirect
134. #17988721C22semidirect
135. #17988721C22semidirect
137. #17988719C22semidirect
138. #17988719C22semidirect
139. #17988716C22semidirect
140. #17988715C22semidirect
141. #17988700C22semidirect
144. #17988699C22semidirect
145. #17988699C22semidirect
146. #17988699C22semidirect
147. #17988699C22semidirect
148. #17988699C22semidirect
149. #17988699C22semidirect
150. #17988699C22semidirect
151. #17988699C22semidirect
152. #17988698C22semidirect
153. #17988697C22semidirect
154. #17988697C22semidirect
155. #17988696C22semidirect
156. #17988696C22semidirect
157. #17988696C22semidirect
158. #17988696C22semidirect
159. #17988696C22semidirect
160. #17988690C22semidirect
161. #17988688C22semidirect
162. #17988688C22semidirect
163. #17988688C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
167. D8×Dic73C22semidirect
168. #17988661C22semidirect
169. #17988659C22semidirect
170. #17988656C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988650C22semidirect
173. #17988643C22semidirect
174. #17988641C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. C2×#14556523C22semidirect
178. #106×D73C22semidirect
179. #17988592C22semidirect
180. #17988588C22semidirect
181. C2×#14556512C22semidirect
182. C2×#14556512C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
190. #546×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #469×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
202. #435×C73C22semidirect
684. D8×C73#41semidirect
752. D4×C73C2×#41semidirect
784. C22⋊D73AGL(1,ℤ/8)semidirect
839. C8×C73C2×#41semidirect
933. #3264D73semidirect
947. C73#61451semidirect
971. #546C2×D73semidirect
975. D42C2×D73semidirect
1000. #496C2×D73semidirect
1035. #469C2×D73semidirect
1043. #465C2×D73semidirect
1047. #463C2×D73semidirect
1055. #459C2×D73semidirect
1057. #450C2×D73semidirect
1059. #449C2×D73semidirect
1066. #447C2×D73semidirect
1067. #447C2×D73semidirect
1101. #435C2×D73semidirect
1522. D8#11924027semidirect
1694. D4C2×#11924027semidirect
1759. C8C2×#11924027semidirect

Maximal subgroups

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

subgroupindex
#226235362
D4×#119240272
#226229702
#226228312
#226227182
#226226332
#226224032
#226223962
#226222832
#226220722
#226220652
#226218922
#226218852
#226217482
#226217372
D8×C22⋊D732
#226214052
#226206642
#226206262
#226206222
#226200752
#226200702
#226200682
#226200212
#226200172
#226189412
AGL(1,ℤ/8)×Dic732
C2×#179886992
#442×D732
C73×#32642
#6145173