Finite Group Databasebeta

← #33961302

Subgroups — #33961302

Order 18688.

2870 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989397C211yesmaximal, characteristic, complemented
2C22×SD16×D73C211yesmaximal, characteristic, complemented
3#22623577C211yesmaximal, characteristic, complemented
4#22623559C211yesmaximal, characteristic, complemented
5#22621644C211yesmaximal, characteristic, complemented
6#22621642C211yesmaximal, characteristic, complemented
7#22621641C211yesmaximal, characteristic, complemented
8#22621639C211yesmaximal, characteristic, complemented
9#22621625C211yesmaximal, characteristic, complemented
10D4×#11924016C211yesmaximal, characteristic, complemented
11#22621622C211yesmaximal, characteristic, complemented
12#22621620C211yesmaximal, characteristic, complemented
13#22621448C211yesmaximal, characteristic, complemented
14#22621446C211yesmaximal, characteristic, complemented
15#22621443C211yesmaximal, characteristic, complemented
16#22621441C211yesmaximal, characteristic, complemented
17#22621425C211yesmaximal, characteristic, complemented
18#22621423C211yesmaximal, characteristic, complemented
19#22621420C211yesmaximal, characteristic, complemented
20#22620404C211yesmaximal, characteristic, complemented
21#22619568C211yesmaximal, characteristic, complemented
22#22619510C211yesmaximal, characteristic, complemented
23#22619447C211yesmaximal, characteristic, complemented
24#22619441C211yesmaximal, characteristic, complemented
25#22619214C211yesmaximal, characteristic, complemented
26#22619203C211yesmaximal, characteristic, complemented
27#22619162C211yesmaximal, characteristic, complemented
28#22619155C211yesmaximal, characteristic, complemented
29#22618787C211yesmaximal, characteristic, complemented
30#22618622C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C2×#14556636C2211yescharacteristic
34C22×Q8×D73C2211yescharacteristic, complemented
35C22×D4×D73C2211yescharacteristic
36#17989397—28no—
37C2×#14556624C2211yescharacteristic, complemented
38C2×#14556620C2211yescharacteristic, complemented
39C2×#14556620C2211yescharacteristic, complemented
40C2×#14556620C2211yescharacteristic, complemented
41C2×#14556615C2211yescharacteristic
42C2×#14556615C2211yescharacteristic, complemented
43C2×#14556615C2211yescharacteristic, complemented
44C2×#14556611C2211yescharacteristic, complemented
45C2×#14556610C2211yescharacteristic, complemented
46C2×#14556610C2211yescharacteristic, complemented
47C22×#11924017C2211yescharacteristic, complemented
48C22×#11924016C2211yescharacteristic, complemented
49C22×#11924016C2211yescharacteristic, complemented
50C22×#11924015C2211yescharacteristic, complemented
51C2×SD16×D73—28no—
52C2×SD16×D73C2211yescharacteristic
53C2×SD16×D73C2211yescharacteristic
54C2×SD16×D73C2211yescharacteristic, complemented
55C2×SD16×D73C2211yescharacteristic, complemented
56C2×SD16×D73C2211yescharacteristic, complemented
57C2×SD16×D73C2211yescharacteristic, complemented
58C2×SD16×D73C2211yescharacteristic, complemented
59C2×SD16×D73C2211yescharacteristic, complemented
60C2×SD16×D73C2211yescharacteristic, complemented
61C2×#14556599C2211yescharacteristic, complemented
62C22×C8×D73C2211yescharacteristic, complemented
63Q8×D292C2211yescharacteristic, complemented
64D4×Dic146—21no—
65D4×Dic146C2211yescharacteristic, complemented
66Q8×C22⋊D73C2211yescharacteristic, complemented
67#17989250—21no—
68#17989250C2211yescharacteristic, complemented
69#17989245—21no—
70#17989245C2211yescharacteristic, complemented
71#17989244C2211yescharacteristic, complemented
72#17989243—21no—
73#17989243C2211yescharacteristic, complemented
74#17989234C2211yescharacteristic
75#17989233C2211yescharacteristic
76#17989232C2211yescharacteristic
77#17989231C2211yescharacteristic
78#17989226—21no—
79#17989224—21no—
80#17989222C2211yescharacteristic
81#17989221C2211yescharacteristic
82D4×C22⋊D73—21no—
83D4×C22⋊D73C2211yescharacteristic
84#17989219—21no—
85#17989160—21no—
86#17989160C2211yescharacteristic, complemented
87#17989157—21no—
88#17989157C2211yescharacteristic, complemented
89#17989153C2211yescharacteristic
90#17989150C2211yescharacteristic
91#17989147—21no—
92#17989145—21no—
93#17989097—21no—
94#17989097C2211yescharacteristic
95#17989097C2211yescharacteristic, complemented
96#17989096—21no—
97#17989096C2211yescharacteristic
98C2×#14556559—21no—
99#120×D73—21no—
100#17989063C2211yescharacteristic, complemented
101#17989059C2211yescharacteristic
102#17988981C2211yescharacteristic, complemented
103#17988978C2211yescharacteristic, complemented
104#17988975C2211yescharacteristic, complemented
105#17988970C2211yescharacteristic, complemented
106#17988969C2211yescharacteristic, complemented
107#17988959C2211yescharacteristic, complemented
108#17988958C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988829C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988814C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic, complemented
124#17988809C2211yescharacteristic, complemented
125#17988808C2211yescharacteristic, complemented
126#17988807C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988793C2211yescharacteristic, complemented
131#17988792C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988786C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988784C2211yescharacteristic, complemented
137#17988751C2211yescharacteristic, complemented
138#17988750C2211yescharacteristic, complemented
139#17988747C2211yescharacteristic, complemented
140#17988746C2211yescharacteristic, complemented
141#17988745C2211yescharacteristic, complemented
142#17988744C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988743C2211yescharacteristic, complemented
145#17988740C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988739C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic, complemented
150#17988738C2211yescharacteristic, complemented
151#17988736C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988728C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988725C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic, complemented
159#17988724C2211yescharacteristic, complemented
160#17988724C2211yescharacteristic, complemented
161#17988724C2211yescharacteristic, complemented
162#17988720C2211yescharacteristic, complemented
163#17988719C2211yescharacteristic, complemented
164#17988719C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic, complemented
169C4×#11924015C2211yescharacteristic, complemented
170C4×#11924016C2211yescharacteristic, complemented
171#17988672C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175D4×#10596831C2211yescharacteristic, complemented
176#17988652C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988650C2211yescharacteristic, complemented
179#17988624C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988594C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988590C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188#17988549C2211yescharacteristic, complemented
189#17988544C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
191C22×SD16×C73C2211yescharacteristic, complemented
192#548×C73C2211yescharacteristic, complemented
193D42×C73C2211yescharacteristic
194#496×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#448×C73C2211yescharacteristic, complemented
202#447×C73C2211yescharacteristic, complemented
203#440×C73C2211yescharacteristic, complemented
204#435×C73C2211yescharacteristic, complemented
205C24×D73—21no—
206#14556638—24no—
207#14556638—42no—
208#14556636—24no—
209#14556636—42no—
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic, complemented
220C22×Dic146—21no—
221C22×Dic146—21no—
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic, complemented
224C2×Q8×D73—21no—
225C2×Q8×D73—21no—
226C2×Q8×D73—24no—
227C2×Q8×D73—42no—
228C2×Q8×D73C2311yescharacteristic
229C2×Q8×D73C2311yescharacteristic
230C2×Q8×D73C2311yescharacteristic
231C2×Q8×D73C2311yescharacteristic
232C2×Q8×D73C2311yescharacteristic, complemented
233C22×D292C2311yescharacteristic
234C22×C22⋊D73—21no—
235C22×C22⋊D73—21no—
236C22×C22⋊D73—21no—
237C22×C22⋊D73—21no—
238C2×D4×D73—24no—
239C2×D4×D73—21no—
240C2×D4×D73—21no—
241C2×D4×D73—21no—
242C2×D4×D73—21no—
243C2×D4×D73—21no—
244C2×D4×D73—42no—
245C2×D4×D73C2311yescharacteristic
246C2×D4×D73C2311yescharacteristic
247C2×D4×D73C2311yescharacteristic
248C2×D4×D73C2311yescharacteristic
249C2×D4×D73C2311yescharacteristic
250C22×C4×D73—21no—
251C22×C4×D73C2311yescharacteristic
252#14556624—24no—
253#14556620—24no—
254#14556620—24no—
255#14556620—42no—
256#14556615—24no—
257#14556615—24no—
258#14556615—42no—
259#14556611—24no—
260#14556610—24no—
261#14556610—24no—
262C2×Dic292C2311yescharacteristic, complemented
263C2×Dic292C2311yescharacteristic, complemented
264C2×Dic292C2311yescharacteristic, complemented
265C2×#11924018C2311yescharacteristic, complemented
266C2×#11924018C2311yescharacteristic, complemented
267C2×#11924017—24no—
268C2×#11924017C2311yescharacteristic
269C2×#11924017C2311yescharacteristic
270C2×#11924017C2311yescharacteristic
271C2×#11924017C2311yescharacteristic
272C2×#11924017C2311yescharacteristic
273C2×#11924017C2311yescharacteristic
274C2×#11924016—24no—
275C2×#11924016—24no—
276C2×#11924016C2311yescharacteristic
277C2×#11924016C2311yescharacteristic
278C2×#11924016C2311yescharacteristic
279C2×#11924016C2311yescharacteristic
280C2×#11924016C2311yescharacteristic
281C2×#11924016C2311yescharacteristic
282C2×#11924016C2311yescharacteristic, complemented
283C2×#11924016C2311yescharacteristic, complemented
284C2×#11924016C2311yescharacteristic, complemented
285C2×#11924016C2311yescharacteristic, complemented
286C2×#11924015—24no—
287C2×#11924015C2311yescharacteristic
288C2×#11924015C2311yescharacteristic
289C2×#11924015C2311yescharacteristic
290C2×#11924015C2311yescharacteristic
291SD16×D73—24no—
292SD16×D73—24no—
293SD16×D73—24no—
294SD16×D73—24no—
295SD16×D73—24no—
296SD16×D73—24no—
297SD16×D73—24no—
298SD16×D73—24no—
299SD16×D73D418yescomplemented
300C2×#11924013C2311yescharacteristic
301C2×#11924013C2311yescharacteristic
302#14556599—24no—
303C2×#11924011C2311yescharacteristic
304C2×#11924011C2311yescharacteristic
305C2×#11924011C2311yescharacteristic, complemented
306C22×#10596831C2311yescharacteristic
307C22×#10596831C2311yescharacteristic, complemented
308C2×C8×D73—24no—
309C2×C8×D73C2311yescharacteristic
310C2×C8×D73C2311yescharacteristic
311C2×C8×D73C2311yescharacteristic
312C2×C8×D73C2311yescharacteristic
313C2×C8×D73C2311yescharacteristic, complemented
314#14556591—21no—
315#14556591C2311yescharacteristic, complemented
316#14556590—21no—
317#14556590—21no—
318#14556590—21no—
319#14556589—21no—
320#14556589C2311yescharacteristic, complemented
321#14556587—21no—
322#14556587C2311yescharacteristic
323#14556579C2311yescharacteristic
324#14556578—21no—
325#14556578C2311yescharacteristic
326#14556578C2311yescharacteristic, complemented
327#14556577—21no—
328#14556577—21no—
329#14556577—21no—
330#14556577—21no—
331#14556576—21no—
332#14556576—21no—
333#14556576D411yescharacteristic
334#14556575—21no—
335#14556573—21no—
336#14556573—21no—
337#14556573—21no—
338#14556573—21no—
339#14556573—21no—
340#14556573—21no—
341#14556573D411yescharacteristic
342#14556572—21no—
343#14556571—21no—
344#14556571—21no—
345#14556571C2311yescharacteristic
346#14556571C2311yescharacteristic
347#14556571C2311yescharacteristic, complemented
348#14556570—21no—
349#14556570—21no—
350#14556570C2311yescharacteristic
351#14556570C2311yescharacteristic
352#14556570C2311yescharacteristic, complemented
353#14556569—21no—
354#14556569D411yescharacteristic
355#14556568—21no—
356#14556568—21no—
357#14556568—21no—
358#14556568—21no—
359#14556568—21no—
360#14556568—21no—
361#14556568—21no—
362#14556568D411yescharacteristic
363#14556567—21no—
364#14556567C2311yescharacteristic, complemented
365#14556566C2311yescharacteristic
366#14556565—21no—
367#14556565C2311yescharacteristic
368#14556564—21no—
369#14556564—21no—
370#14556564—21no—
371#14556564D411yescharacteristic
372#14556563—21no—
373#14556563—21no—
374#14556563—21no—
375#14556563—21no—
376#14556563—21no—
377#14556563D411yescharacteristic
378#14556562—21no—
379#14556562—21no—
380#14556562—21no—
381#14556562C2311yescharacteristic
382#14556562C2311yescharacteristic
383#14556562C2311yescharacteristic
384#14556561—21no—
385#14556561—21no—
386#14556561—21no—
387#14556561D411yescharacteristic
388#14556560—21no—
389#14556560—21no—
390#14556559—21no—
391#14556559—21no—
392#14556559—21no—
393#14556559—21no—
394#14556559—21no—
395#14556559—21no—
396#14556559—21no—
397#14556559—21no—
398#14556559—21no—
399#14556559—21no—
400#14556559—21no—
401#14556559D411yescharacteristic
402Q8×Dic73C2311yescharacteristic, complemented
403C4×Dic146—21no—
404C4×Dic146C2311yescharacteristic, complemented
405#14556556—21no—
406#14556556C2311yescharacteristic, complemented
407C4×D292—21no—
408C4×D292C2311yescharacteristic
409C4×D292C2311yescharacteristic
410D4×Dic73—21no—
411D4×Dic73—21no—
412D4×Dic73—21no—
413D4×Dic73—21no—
414D4×Dic73C2311yescharacteristic
415#14556553C2311yescharacteristic
416C4×C22⋊D73—21no—
417C4×C22⋊D73—21no—
418C4×C22⋊D73—21no—
419C4×C22⋊D73C2311yescharacteristic
420C4×C22⋊D73C2311yescharacteristic
421#14556551—21no—
422#14556551—21no—
423#14556551—21no—
424#14556551—21no—
425#14556551—21no—
426#14556549—21no—
427#14556549C2311yescharacteristic
428#14556549C2311yescharacteristic
429#14556548—21no—
430#14556548C2311yescharacteristic
431C2×C22⋊Dic73—21no—
432C2×#11924005—21no—
433C2×#11924005—21no—
434C22⋊C4×D73—21no—
435C22⋊C4×D73—21no—
436C22⋊C4×D73—21no—
437#14556525C2311yescharacteristic, complemented
438#14556522C2311yescharacteristic, complemented
439#14556522C2311yescharacteristic, complemented
440C4⋊#10596831C2311yescharacteristic, complemented
441#14556520C2311yescharacteristic, complemented
442#14556520C2311yescharacteristic, complemented
443#14556516C2311yescharacteristic, complemented
444#14556516C2311yescharacteristic, complemented
445#14556516C2311yescharacteristic, complemented
446#14556516C2311yescharacteristic, complemented
447#14556515C2311yescharacteristic, complemented
448#14556515C2311yescharacteristic, complemented
449#14556514C2311yescharacteristic, complemented
450#14556514C2311yescharacteristic, complemented
451#14556514C2311yescharacteristic, complemented
452#14556514C2311yescharacteristic, complemented
453#14556513C2311yescharacteristic
454#14556513C2311yescharacteristic
455#14556512C2311yescharacteristic
456#14556512C2311yescharacteristic
457#14556512C2311yescharacteristic, complemented
458#14556512C2311yescharacteristic, complemented
459#14556511C2311yescharacteristic
460#14556511C2311yescharacteristic
461C22⋊#10596831C2311yescharacteristic
462C22⋊#10596831C2311yescharacteristic, complemented
463#14556503C2311yescharacteristic
464#14556503C2311yescharacteristic
465#14556503C2311yescharacteristic, complemented
466#14556503C2311yescharacteristic, complemented
467#14556501C2311yescharacteristic, complemented
468C4×#10596831C2311yescharacteristic, complemented
469C8×Dic73C2311yescharacteristic, complemented
470C2×#41×C73C2311yescharacteristic, complemented
471C22×Q8×C73C2311yescharacteristic
472C22×D4×C73—21no—
473C22×D4×C73C2311yescharacteristic
474C22×D4×C73C2311yescharacteristic
475AGL(1,ℤ/8)×C73—24no—
476C2×SD16×C73—24no—
477C2×SD16×C73C2311yescharacteristic
478C2×SD16×C73C2311yescharacteristic
479C2×SD16×C73C2311yescharacteristic
480C2×SD16×C73C2311yescharacteristic
481C2×SD16×C73C2311yescharacteristic, complemented
482C2×SD16×C73C2311yescharacteristic, complemented
483C2×D8×C73C2311yescharacteristic
484C2×D8×C73C2311yescharacteristic
485C2×D8×C73C2311yescharacteristic, complemented
486C2×M16×C73C2311yescharacteristic, complemented
487C22×C8×C73C2311yescharacteristic
488#127×C73C2311yescharacteristic
489#124×C73—21no—
490#124×C73C2311yescharacteristic, complemented
491C22⋊Q8×C73—21no—
492C22⋊Q8×C73C2311yescharacteristic, complemented
493#121×C73—21no—
494#121×C73—21no—
495#121×C73C2311yescharacteristic
496#121×C73C2311yescharacteristic
497#121×C73C2311yescharacteristic
498#120×C73—21no—
499#120×C73—21no—
500C4×Q8×C73C2311yescharacteristic, complemented
501C4×D4×C73—21no—
502C4×D4×C73C2311yescharacteristic
503C4×D4×C73C2311yescharacteristic
504#107×C73C2311yescharacteristic, complemented
505C4⋊C8×C73C2311yescharacteristic, complemented
506#103×C73C2311yescharacteristic, complemented
507#103×C73C2311yescharacteristic, complemented
508#102×C73C2311yescharacteristic
509#102×C73C2311yescharacteristic
510#102×C73C2311yescharacteristic, complemented
511#102×C73C2311yescharacteristic, complemented
512C22⋊C8×C73C2311yescharacteristic
513C22⋊C8×C73C2311yescharacteristic, complemented
514#97×C73C2311yescharacteristic, complemented
515C23×D73—21no—
516C23×D73—21no—
517C23×D73—21no—
518C23×D73—21no—
519C23×D73—21no—
520C23×D73—21no—
521C23×D73—44no—
522C23×D73—82no—
523C23×D73—82no—
524C23×D73C2×D411yescharacteristic
525#11924028—22no—
526#11924028—22no—
527#11924028—22no—
528#11924028—41no—
529#11924028—44no—
530#11924027—22no—
531#11924027—22no—
532#11924027—22no—
533#11924027—22no—
534#11924027—22no—
535#11924027—22no—
536#11924027—41no—
537#11924027—41no—
538#11924027—44no—
539#11924027—44no—
540#11924027—44no—
541C2×Dic146—21no—
542C2×Dic146—22no—
543C2×Dic146—22no—
544C2×Dic146—21no—
545C2×Dic146—21no—
546C2×Dic146—21no—
547C2×Dic146—21no—
548C2×Dic146—21no—
549C2×Dic146—21no—
550C2×Dic146—41no—
551C2×Dic146—41no—
552C2×Dic146—44no—
553C2×Dic146—44no—
554C2×Dic146C2×D411yescharacteristic
555C2×Dic146C2411yescharacteristic
556C2×Dic146C2411yescharacteristic
557C2×Dic146C2411yescharacteristic
558C2×Dic146C2411yescharacteristic
559Q8×D73—22no—
560Q8×D73—22no—
561Q8×D73—22no—
562Q8×D73—22no—
563Q8×D73—22no—
564Q8×D73—22no—
565Q8×D73—41no—
566Q8×D73—41no—
567Q8×D73—41no—
568Q8×D73—44no—
569Q8×D73—44no—
570Q8×D73C2×D414yescomplemented
571C2×D292—22no—
572C2×D292—21no—
573C2×D292—21no—
574C2×D292—41no—
575C2×D292C2×D411yescharacteristic
576C2×D292C2×D411yescharacteristic
577C2×D292C2411yescharacteristic
578C2×D292C2411yescharacteristic
579C2×C22⋊D73—21no—
580C2×C22⋊D73—21no—
581C2×C22⋊D73—21no—
582C2×C22⋊D73—21no—
583C2×C22⋊D73—21no—
584C2×C22⋊D73—21no—
585C2×C22⋊D73—21no—
586C2×C22⋊D73—21no—
587C2×C22⋊D73—21no—
588C2×C22⋊D73—21no—
589C2×C22⋊D73—21no—
590C2×C22⋊D73—21no—
591C2×C22⋊D73—21no—
592C2×C22⋊D73—21no—
593C2×C22⋊D73—21no—
594C2×C22⋊D73—21no—
595C2×C22⋊D73—44no—
596C2×C22⋊D73—44no—
597C2×C22⋊D73—44no—
598C2×C22⋊D73—82no—
599C2×C22⋊D73C2×D411yescharacteristic
600C2×C22⋊D73C2×D411yescharacteristic
601C2×C22⋊D73C2×D411yescharacteristic
602C2×C22⋊D73C2×D411yescharacteristic
603D4×D73—22no—
604D4×D73—22no—
605D4×D73—22no—
606D4×D73—22no—
607D4×D73—22no—
608D4×D73—22no—
609D4×D73—41no—
610D4×D73—41no—
611D4×D73—41no—
612D4×D73—44no—
613D4×D73—44no—
614D4×D73—44no—
615D4×D73—82no—
616D4×D73—82no—
617D4×D73C2×D414yes—
618C22×Dic73—21no—
619C22×Dic73—21no—
620C22×Dic73—21no—
621C22×Dic73—21no—
622C22×Dic73—21no—
623C22×Dic73—21no—
624C22×Dic73—21no—
625C22×Dic73C2×D411yescharacteristic
626C2×C4×D73—21no—
627C2×C4×D73—22no—
628C2×C4×D73—22no—
629C2×C4×D73—21no—
630C2×C4×D73—21no—
631C2×C4×D73—21no—
632C2×C4×D73—21no—
633C2×C4×D73—21no—
634C2×C4×D73—21no—
635C2×C4×D73—21no—
636C2×C4×D73—44no—
637C2×C4×D73C2×D411yescharacteristic
638C2×C4×D73C2×D411yescharacteristic
639C2×C4×D73C2411yescharacteristic
640C2×C4×D73C2411yescharacteristic
641C2×C4×D73C2411yescharacteristic
642Dic292—22no—
643Dic292—22no—
644Dic292—41no—
645#11924018—22no—
646#11924018—41no—
647#11924017—22no—
648#11924017—22no—
649#11924017—22no—
650#11924017—22no—
651#11924017—41no—
652#11924017C2×D414yescomplemented
653#11924016—22no—
654#11924016—22no—
655#11924016—22no—
656#11924016—22no—
657#11924016—22no—
658#11924016—22no—
659#11924016—22no—
660#11924016—41no—
661#11924016—41no—
662#11924016C2×D414yescomplemented
663#11924015—22no—
664#11924015—22no—
665#11924015—22no—
666#11924015C2×D414yescomplemented
667#11924013—22no—
668#11924013—41no—
669#11924011—22no—
670#11924011—22no—
671#11924011—22no—
672C2×#10596831—22no—
673C2×#10596831—22no—
674C2×#10596831C2411yescharacteristic
675C2×#10596831C2411yescharacteristic
676C2×#10596831C2411yescharacteristic
677C2×#10596831C2411yescharacteristic
678C8×D73—22no—
679C8×D73—22no—
680C8×D73—22no—
681C8×D73—22no—
682C8×D73C2×D414yescomplemented
683C4⋊Dic73—21no—
684C4⋊Dic73—21no—
685C4⋊Dic73—21no—
686C4⋊Dic73—21no—
687C4⋊Dic73—21no—
688C4⋊Dic73—21no—
689C4⋊Dic73C2×D411yescharacteristic
690C4⋊Dic73C2411yescharacteristic
691C4⋊Dic73C2411yescharacteristic
692#11924007—21no—
693#11924007—21no—
694#11924007—21no—
695#11924007—21no—
696#11924007—21no—
697#11924007—21no—
698#11924007—21no—
699#11924007—21no—
700#11924007C2×D411yescharacteristic
701#11924007C2×D411yescharacteristic
702#11924007C2×D411yescharacteristic
703#11924007C2×D411yescharacteristic
704C22⋊Dic73—21no—
705C22⋊Dic73—21no—
706C22⋊Dic73—21no—
707C22⋊Dic73—21no—
708C22⋊Dic73—21no—
709C22⋊Dic73—21no—
710C22⋊Dic73—21no—
711C22⋊Dic73—21no—
712C22⋊Dic73—21no—
713C22⋊Dic73—21no—
714C22⋊Dic73—21no—
715C22⋊Dic73C2×D411yescharacteristic
716C22⋊Dic73C2×D411yescharacteristic
717#11924005—21no—
718#11924005—21no—
719#11924005—21no—
720#11924005—21no—
721#11924005—21no—
722#11924005—21no—
723#11924005—21no—
724#11924005—21no—
725#11924005—21no—
726#11924005—21no—
727#11924005—21no—
728#11924005—21no—
729#11924005C2×D411yescharacteristic
730#11924005C2×D411yescharacteristic
731#11924005C2×D411yescharacteristic
732#11924005C2×D411yescharacteristic
733#11924005C2×D411yescharacteristic
734#11924005C2×D411yescharacteristic
735C4×Dic73—21no—
736C4×Dic73—21no—
737C4×Dic73—21no—
738C4×Dic73—21no—
739C4×Dic73—21no—
740C4×Dic73C2411yescharacteristic
741C24×C73—21no—
742C24×C73—21no—
743#41×C73—22no—
744#41×C73—41no—
745C2×Q8×C73—21no—
746C2×Q8×C73—22no—
747C2×Q8×C73—41no—
748C2×Q8×C73C2411yescharacteristic
749C2×Q8×C73C2411yescharacteristic
750C2×D4×C73—22no—
751C2×D4×C73—22no—
752C2×D4×C73—21no—
753C2×D4×C73—21no—
754C2×D4×C73—21no—
755C2×D4×C73—21no—
756C2×D4×C73—21no—
757C2×D4×C73—21no—
758C2×D4×C73—21no—
759C2×D4×C73—21no—
760C2×D4×C73—41no—
761C2×D4×C73—41no—
762C2×D4×C73—82no—
763C2×D4×C73C2×D411yescharacteristic
764C2×D4×C73C2411yescharacteristic
765C2×D4×C73C2411yescharacteristic
766C2×D4×C73C2411yescharacteristic
767C2×D4×C73C2411yescharacteristic
768C22×C4×C73—21no—
769C22×C4×C73—21no—
770C22×C4×C73—21no—
771C22×C4×C73C2411yescharacteristic
772C22×C4×C73C2411yescharacteristic
773SD16×C73—22no—
774SD16×C73—22no—
775SD16×C73—22no—
776SD16×C73—22no—
777SD16×C73—41no—
778SD16×C73C2×D414yescomplemented
779D8×C73—22no—
780D8×C73—22no—
781D8×C73—41no—
782M16×C73—22no—
783C2×C8×C73—22no—
784C2×C8×C73C2411yescharacteristic
785C2×C8×C73C2411yescharacteristic
786C2×C8×C73C2411yescharacteristic
787C2×C8×C73C2411yescharacteristic
788C4⋊C4×C73—21no—
789C4⋊C4×C73—21no—
790C4⋊C4×C73C2×D411yescharacteristic
791C4⋊C4×C73C2411yescharacteristic
792C4⋊C4×C73C2411yescharacteristic
793C22⋊C4×C73—21no—
794C22⋊C4×C73—21no—
795C22⋊C4×C73—21no—
796C22⋊C4×C73—21no—
797C22⋊C4×C73—21no—
798C22⋊C4×C73—21no—
799C22⋊C4×C73—21no—
800C22⋊C4×C73C2×D411yescharacteristic
801C22⋊C4×C73C2×D411yescharacteristic
802C42×C73—21no—
803C42×C73C2411yescharacteristic
804C23×C73—21no—
805C23×C73—21no—
806C23×C73—21no—
807C23×C73—21no—
808C23×C73—42no—
809C23×C73—42no—
810C23×C73—42no—
811C23×C73—81no—
812C23×C73—81no—
813C23×C73—81no—
814C23×C73C22×D411yescharacteristic
815C23×C73C22×D411yescharacteristic
816C22×D73—22no—
817C22×D73—22no—
818C22×D73—22no—
819C22×D73—21no—
820C22×D73—24no—
821C22×D73—21no—
822C22×D73—42no—
823C22×D73—42no—
824C22×D73—42no—
825C22×D73—42no—
826C22×D73—42no—
827C22×D73—42no—
828C22×D73—42no—
829C22×D73—42no—
830C22×D73—81no—
831C22×D73—81no—
832C22×D73—81no—
833C22×D73—81no—
834C22×D73—81no—
835C22×D73—81no—
836C22×D73—81no—
837C22×D73—81no—
838C22×D73—816no—
839C22×D73—81no—
840C22×D73C22×D411yescharacteristic
841C22×D73C22×D411yescharacteristic
842C22×D73C22×D411yescharacteristic
843Q8×C73—21no—
844Q8×C73—21no—
845Q8×C73—21no—
846Q8×C73—42no—
847Q8×C73C22×D412yes—
848D4×C73—22no—
849D4×C73—21no—
850D4×C73—21no—
851D4×C73—21no—
852D4×C73—21no—
853D4×C73—21no—
854D4×C73—21no—
855D4×C73—21no—
856D4×C73—42no—
857D4×C73—42no—
858D4×C73—42no—
859D4×C73—42no—
860D4×C73—42no—
861D4×C73—81no—
862D4×C73—81no—
863D4×C73—81no—
864D4×C73C22×D412yes—
865C2×C4×C73—21no—
866C2×C4×C73—21no—
867C2×C4×C73—21no—
868C2×C4×C73—21no—
869C2×C4×C73—21no—
870C2×C4×C73—21no—
871C2×C4×C73—21no—
872C2×C4×C73—21no—
873C2×C4×C73—42no—
874C2×C4×C73—42no—
875C2×C4×C73—81no—
876C2×C4×C73C22×D411yescharacteristic
877C2×C4×C73C22×D411yescharacteristic
878C2×C4×C73C22×D411yescharacteristic
879C2×C4×C73C22×D411yescharacteristic
880C2×C4×C73C2511yescharacteristic
881C22⋊D73—22no—
882C22⋊D73—22no—
883C22⋊D73—22no—
884C22⋊D73—24no—
885C22⋊D73—22no—
886C22⋊D73—42no—
887C22⋊D73—42no—
888C22⋊D73—42no—
889C22⋊D73—42no—
890C22⋊D73—42no—
891C22⋊D73—42no—
892C22⋊D73—42no—
893C22⋊D73—42no—
894C22⋊D73—42no—
895C22⋊D73—42no—
896C22⋊D73—42no—
897C22⋊D73—81no—
898C22⋊D73—81no—
899C22⋊D73—81no—
900C22⋊D73—81no—
901C2×Dic73—21no—
902C2×Dic73—22no—
903C2×Dic73—21no—
904C2×Dic73—21no—
905C2×Dic73—21no—
906C2×Dic73—21no—
907C2×Dic73—21no—
908C2×Dic73—42no—
909C2×Dic73—42no—
910C2×Dic73—42no—
911C2×Dic73—42no—
912C2×Dic73—42no—
913C2×Dic73—42no—
914C2×Dic73—81no—
915C2×Dic73C22×D411yescharacteristic
916C2×Dic73C22×D411yescharacteristic
917C2×Dic73C22×D411yescharacteristic
918C2×Dic73C22×D411yescharacteristic
919C2×Dic73C22×D411yescharacteristic
920D292—22no—
921D292—22no—
922D292—21no—
923D292—21no—
924D292—21no—
925D292—42no—
926D292—81no—
927D292C22×D412yes—
928C4×D73—22no—
929C4×D73—24no—
930C4×D73—21no—
931C4×D73—21no—
932C4×D73—21no—
933C4×D73—21no—
934C4×D73—22no—
935C4×D73—42no—
936C4×D73—42no—
937C4×D73—42no—
938C4×D73—42no—
939C4×D73—42no—
940C4×D73—81no—
941C4×D73—81no—
942C4×D73C22×D412yes—
943C4×D73H(5,𝔽2)12yes—
944Dic146—21no—
945Dic146—24no—
946Dic146—22no—
947Dic146—21no—
948Dic146—21no—
949Dic146—21no—
950Dic146—21no—
951Dic146—21no—
952Dic146—21no—
953Dic146—42no—
954Dic146—42no—
955Dic146—42no—
956Dic146—42no—
957Dic146—42no—
958Dic146—42no—
959Dic146C22×D412yes—
960C8×C73—21no—
961C8×C73—21no—
962C8×C73—21no—
963C8×C73C22×D412yes—
964#10596831—21no—
965#10596831—21no—
966#10596831—21no—
967#10596831C22×D412yes—
968C22×C73—21no—
969C22×C73—21no—
970C22×C73—21no—
971C22×C73—22no—
972C22×C73—21no—
973C22×C73—21no—
974C22×C73—41no—
975C22×C73—41no—
976C22×C73—41no—
977C22×C73—41no—
978C22×C73—41no—
979C22×C73—41no—
980C22×C73—41no—
981C22×C73—41no—
982C22×C73—41no—
983C22×C73—41no—
984C22×C73—41no—
985C22×C73—84no—
986C22×C73—162no—
987C22×C73#57712yescomplemented
988C22×C73C23×D411yescharacteristic
989C2×D73—28no—
990C2×D73—21no—
991C2×D73—21no—
992C2×D73—21no—
993C2×D73—21no—
994C2×D73—21no—
995C2×D73—22no—
996C2×D73—21no—
997C2×D73—21no—
998C2×D73—41no—
999C2×D73—41no—
1000C2×D73—41no—
1001C2×D73—41no—
1002C2×D73—41no—
1003C2×D73—84no—
1004C2×D73—84no—
1005C2×D73—84no—
1006C2×D73—84no—
1007C2×D73—84no—
1008C2×D73—162no—
1009C2×D73D4212yes—
1010C2×D73#57712yescomplemented
1011C4×C73—22no—
1012C4×C73—21no—
1013C4×C73—21no—
1014C4×C73—21no—
1015C4×C73—21no—
1016C4×C73—41no—
1017C4×C73—41no—
1018C4×C73—41no—
1019C4×C73C23×D411yescharacteristic
1020C4×C73C2×H(5,𝔽2)11yescharacteristic
1021Dic73—22no—
1022Dic73—21no—
1023Dic73—21no—
1024Dic73—21no—
1025Dic73—21no—
1026Dic73—41no—
1027Dic73—41no—
1028Dic73—41no—
1029Dic73—41no—
1030Dic73—41no—
1031Dic73D4212yes—
1032#61050—731nomaximal, Sylow
1033C2×C73—22no—
1034C2×C73—42no—
1035C2×C73—41no—
1036C2×C73—81no—
1037C2×C73—81no—
1038C2×C73—81no—
1039C2×C73C2×D4211yescharacteristic
1040C2×C73C2×#57711yescharacteristic
1041C2×C73C2×#57711yescharacteristic
1042D73—22no—
1043D73—22no—
1044D73—41no—
1045D73—42no—
1046D73—81no—
1047C2×#577—731no—
1048C23×SD16—731no—
1049#3486—731no—
1050#3484—731no—
1051#3282—731no—
1052#3282—731no—
1053#3282—731no—
1054#3282—731no—
1055D4×SD16—731no—
1056D4×SD16—731no—
1057D4×SD16—731no—
1058D4×SD16—731no—
1059#3266—731no—
1060#3266—731no—
1061#3266—731no—
1062#3266—731no—
1063#3265—731no—
1064#3265—731no—
1065#3265—731no—
1066#3265D7311yescharacteristic, complemented
1067#3154—731no—
1068#3057—731no—
1069#3050—731no—
1070#3043—731no—
1071#3042—731no—
1072#3010—731no—
1073#3009—731no—
1074#3004—731no—
1075#3003—731no—
1076#2949—731no—
1077#2929—731no—
1078C73#6105011yescharacteristic, complemented, Sylow
1079C2×2−1+4—731no—
1080C2×H(5,𝔽2)—731no—
1081C23×Q8—731no—
1082C23×D4—731no—
1083#577—1468no—
1084C2×#137—731no—
1085C2×#137—731no—
1086C2×#137—731no—
1087C2×#137—731no—
1088C2×AGL(1,ℤ/8)—731no—
1089C2×AGL(1,ℤ/8)—731no—
1090C2×AGL(1,ℤ/8)—731no—
1091C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1092C2×#135—731no—
1093C2×#135—731no—
1094C2×#135—731no—
1095C22×SD16—731no—
1096C22×SD16—731no—
1097C22×SD16—731no—
1098C22×SD16—731no—
1099C22×SD16—731no—
1100C22×SD16—731no—
1101C22×SD16—731no—
1102C22×SD16—731no—
1103C22×SD16—731no—
1104C22×SD16—731no—
1105C22×SD16—731no—
1106C22×SD16—731no—
1107C22×SD16—731no—
1108C22×SD16—1468no—
1109C22×SD16C2×D7311yescharacteristic, complemented
1110C2×#131—731no—
1111C23×C8—731no—
1112D4×Q8—731no—
1113D4×Q8—731no—
1114D4×Q8—731no—
1115D4×Q8—731no—
1116D4×Q8—1461no—
1117D4×Q8—1461no—
1118#548—731no—
1119#548—731no—
1120#548—731no—
1121#548—1461no—
1122#548—1461no—
1123#548C2×D7311yescharacteristic, complemented
1124#546—731no—
1125#546—731no—
1126#546—731no—
1127#546—731no—
1128#546—1461no—
1129#546—1461no—
1130D42—731no—
1131D42—731no—
1132D42—731no—
1133D42—1461no—
1134D42—1461no—
1135D42C2×D7311yescharacteristic
1136#536—731no—
1137#536—731no—
1138#536—1461no—
1139#536—1461no—
1140#535—731no—
1141#535—731no—
1142#534—1461no—
1143#534—1461no—
1144#525—731no—
1145#525—731no—
1146#525—731no—
1147#525—1461no—
1148#525—1461no—
1149C2×#120—1461no—
1150C2×#120—1461no—
1151#519—731no—
1152#518—731no—
1153#497—731no—
1154#497—731no—
1155#496—731no—
1156#496C2×D7311yescharacteristic, complemented
1157#495—731no—
1158#495—731no—
1159#492—731no—
1160#492—731no—
1161#468—731no—
1162#468—731no—
1163#468—731no—
1164#468C2×D7311yescharacteristic, complemented
1165#467—731no—
1166#467—731no—
1167#466—731no—
1168#466C2×D7311yescharacteristic, complemented
1169#465—731no—
1170#465—731no—
1171#465—731no—
1172#465—731no—
1173#465—731no—
1174#465—731no—
1175#465—731no—
1176#465—731no—
1177#464—731no—
1178#464—731no—
1179#464—731no—
1180#464—731no—
1181#463—731no—
1182#463—731no—
1183#463—731no—
1184#463C2×D7311yescharacteristic, complemented
1185#461—731no—
1186#461—731no—
1187#461—731no—
1188#461—731no—
1189#460—731no—
1190#460—731no—
1191#460—731no—
1192#460C2×D7311yescharacteristic, complemented
1193#452—731no—
1194#452—731no—
1195#452—731no—
1196#452—731no—
1197#451—731no—
1198#451—731no—
1199#451—731no—
1200#451—731no—
1201#450—731no—
1202#450—731no—
1203#450—731no—
1204#450—731no—
1205#450—731no—
1206#450—731no—
1207#450—731no—
1208#450C2×D7311yescharacteristic, complemented
1209#449—731no—
1210#449—731no—
1211#449—731no—
1212#449C2×D7311yescharacteristic, complemented
1213#448—731no—
1214#448—731no—
1215#448—731no—
1216#448—731no—
1217#448—731no—
1218#448—731no—
1219#448—731no—
1220#448C2×D7311yescharacteristic, complemented
1221#447—731no—
1222#447—731no—
1223#447—731no—
1224#447C2×D7311yescharacteristic, complemented
1225#440—731no—
1226#440—731no—
1227#440—731no—
1228#440C2×D7311yescharacteristic, complemented
1229C4×SD16—731no—
1230C4×SD16—731no—
1231C4×SD16—731no—
1232C4×SD16—731no—
1233#435—731no—
1234#435—731no—
1235#435—731no—
1236#435C2×D7311yescharacteristic, complemented
1237C8×D4—731no—
1238C8×D4—731no—
1239C8×D4—731no—
1240C8×D4—731no—
1241#427—731no—
1242#424—731no—
1243#419—731no—
1244#419—731no—
1245#418—731no—
1246#418—731no—
1247#416—731no—
1248#416—731no—
1249#408—731no—
1250#407—731no—
1251#405—731no—
1252C25—1461no—
12532−1+4—2922no—
12542−1+4—1464no—
1255H(5,𝔽2)—2922no—
1256H(5,𝔽2)—1464no—
1257C2×#41—731no—
1258C2×#41—731no—
1259C2×#41—731no—
1260C2×#41—731no—
1261C2×#41—731no—
1262C2×#41—731no—
1263C2×#41—1461no—
1264C2×#41—1461no—
1265C2×#41—1461no—
1266C2×#41—1461no—
1267C2×#41C22×D7311yescharacteristic, complemented
1268C22×Q8—2922no—
1269C22×Q8—731no—
1270C22×Q8—731no—
1271C22×Q8—731no—
1272C22×Q8—731no—
1273C22×Q8—731no—
1274C22×Q8—731no—
1275C22×Q8—731no—
1276C22×Q8—1461no—
1277C22×Q8—1461no—
1278C22×Q8—1464no—
1279C22×Q8—1461no—
1280C22×Q8—1461no—
1281C22×Q8C22×D7311yescharacteristic
1282C22×D4—21no—
1283C22×D4—2922no—
1284C22×D4—731no—
1285C22×D4—731no—
1286C22×D4—731no—
1287C22×D4—731no—
1288C22×D4—731no—
1289C22×D4—731no—
1290C22×D4—1461no—
1291C22×D4—1461no—
1292C22×D4—1461no—
1293C22×D4—1461no—
1294C22×D4—1464no—
1295C22×D4—1461no—
1296C22×D4—1461no—
1297C22×D4—1461no—
1298C22×D4—1461no—
1299C22×D4—1461no—
1300C22×D4C22×D7311yescharacteristic
1301C22×D4C22×D7311yescharacteristic
1302C23×C4—731no—
1303C23×C4—1461no—
1304#137—2922no—
1305#137—1464no—
1306#137—1464no—
1307#137—1464no—
1308AGL(1,ℤ/8)—24no—
1309AGL(1,ℤ/8)—2922no—
1310AGL(1,ℤ/8)—1464no—
1311AGL(1,ℤ/8)—1464no—
1312#135—1464no—
1313#135—1464no—
1314#135—1464no—
1315C2×Q16—731no—
1316C2×Q16—731no—
1317C2×Q16—731no—
1318C2×Q16—731no—
1319C2×Q16—731no—
1320C2×SD16—24no—
1321C2×SD16—731no—
1322C2×SD16—731no—
1323C2×SD16—731no—
1324C2×SD16—731no—
1325C2×SD16—738no—
1326C2×SD16—731no—
1327C2×SD16—731no—
1328C2×SD16—731no—
1329C2×SD16—731no—
1330C2×SD16—731no—
1331C2×SD16—731no—
1332C2×SD16—731no—
1333C2×SD16—731no—
1334C2×SD16—731no—
1335C2×SD16—731no—
1336C2×SD16—731no—
1337C2×SD16—731no—
1338C2×SD16—731no—
1339C2×SD16—731no—
1340C2×SD16—731no—
1341C2×SD16—731no—
1342C2×SD16—1464no—
1343C2×SD16—1464no—
1344C2×SD16—1464no—
1345C2×SD16—1464no—
1346C2×SD16—1464no—
1347C2×SD16—1464no—
1348C2×SD16—1464no—
1349C2×SD16—1464no—
1350C2×SD16—1464no—
1351C2×SD16—1464no—
1352C2×SD16—1464no—
1353C2×SD16—1464no—
1354C2×SD16C22×D7311yescharacteristic
1355C2×SD16C22×D7311yescharacteristic
1356C2×SD16C22×D7311yescharacteristic
1357C2×SD16C22×D7311yescharacteristic
1358C2×SD16C22×D7311yescharacteristic, complemented
1359C2×SD16C22×D7311yescharacteristic, complemented
1360C2×D8—731no—
1361C2×D8—731no—
1362C2×D8C22×D7311yescharacteristic
1363C2×D8C22×D7311yescharacteristic
1364C2×D8C22×D7311yescharacteristic, complemented
1365#131—1464no—
1366C2×M16—731no—
1367C2×M16—731no—
1368C2×M16—731no—
1369C2×M16C22×D7311yescharacteristic, complemented
1370C22×C8—731no—
1371C22×C8—731no—
1372C22×C8—731no—
1373C22×C8—731no—
1374C22×C8—731no—
1375C22×C8—731no—
1376C22×C8—731no—
1377C22×C8—1464no—
1378C22×C8C22×D7311yescharacteristic
1379C4⋊Q8—731no—
1380C4⋊Q8—731no—
1381C4⋊Q8—1461no—
1382C4⋊Q8—1461no—
1383C4⋊Q8—1461no—
1384C4⋊Q8—1461no—
1385C4⋊Q8—1461no—
1386#127—731no—
1387#127—1461no—
1388#127C22×D7311yescharacteristic
1389#124—21no—
1390#124—731no—
1391#124—731no—
1392#124—731no—
1393#124—1461no—
1394#124—1461no—
1395#124—1461no—
1396#124—1461no—
1397#124—1461no—
1398#124C22×D7311yescharacteristic, complemented
1399#123—731no—
1400#123—731no—
1401#123—1461no—
1402#123—1461no—
1403#123—1461no—
1404#123—1461no—
1405#123—1461no—
1406#123—1461no—
1407#123—1461no—
1408#123—1461no—
1409#123—1461no—
1410#123—1461no—
1411C22⋊Q8—21no—
1412C22⋊Q8—731no—
1413C22⋊Q8—731no—
1414C22⋊Q8—731no—
1415C22⋊Q8—731no—
1416C22⋊Q8—731no—
1417C22⋊Q8—731no—
1418C22⋊Q8—731no—
1419C22⋊Q8—731no—
1420C22⋊Q8—731no—
1421C22⋊Q8—1461no—
1422C22⋊Q8—1461no—
1423C22⋊Q8—1461no—
1424C22⋊Q8—1461no—
1425C22⋊Q8—1461no—
1426C22⋊Q8—1461no—
1427C22⋊Q8—1461no—
1428C22⋊Q8—1461no—
1429C22⋊Q8—1461no—
1430C22⋊Q8—1461no—
1431C22⋊Q8—1461no—
1432C22⋊Q8—1461no—
1433C22⋊Q8—1461no—
1434C22⋊Q8C22×D7311yescharacteristic, complemented
1435#121—21no—
1436#121—21no—
1437#121—731no—
1438#121—731no—
1439#121—731no—
1440#121—731no—
1441#121—731no—
1442#121—731no—
1443#121—731no—
1444#121—1461no—
1445#121—1461no—
1446#121—1461no—
1447#121—1461no—
1448#121—1461no—
1449#121—1461no—
1450#121—1461no—
1451#121—1461no—
1452#121—1461no—
1453#121—1461no—
1454#121—1461no—
1455#121—1461no—
1456#121C22×D7311yescharacteristic
1457#121C22×D7311yescharacteristic
1458#121C22×D7311yescharacteristic
1459#120—21no—
1460#120—21no—
1461#120—731no—
1462#120—731no—
1463#120—1461no—
1464#120—1461no—
1465#120—1461no—
1466#120—1461no—
1467#120—1461no—
1468#120—1461no—
1469#120—1461no—
1470#120—1461no—
1471#120—1461no—
1472#120—1461no—
1473#120—1461no—
1474#120—1461no—
1475#120—1461no—
1476#120—1461no—
1477#120—1461no—
1478#120—1461no—
1479C4×Q8—731no—
1480C4×Q8—731no—
1481C4×Q8—731no—
1482C4×Q8—1461no—
1483C4×Q8—1461no—
1484C4×Q8C22×D7311yescharacteristic, complemented
1485C4×D4—21no—
1486C4×D4—731no—
1487C4×D4—731no—
1488C4×D4—731no—
1489C4×D4—731no—
1490C4×D4—731no—
1491C4×D4—731no—
1492C4×D4—1461no—
1493C4×D4—1461no—
1494C4×D4—1461no—
1495C4×D4—1461no—
1496C4×D4—1461no—
1497C4×D4—1461no—
1498C4×D4—1461no—
1499C4×D4—1461no—
1500C4×D4—1461no—
1501C4×D4—1461no—
1502C4×D4—1461no—
1503C4×D4—1461no—
1504C4×D4—1461no—
1505C4×D4C22×D7311yescharacteristic
1506C4×D4C22×D7311yescharacteristic
1507#117—731no—
1508#117—731no—
1509#117—731no—
1510#117—1461no—
1511#117—1461no—
1512C2×C22⋊C4—1461no—
1513C2×C22⋊C4—1461no—
1514C2×C22⋊C4—1461no—
1515C2×C22⋊C4—1461no—
1516C2×C22⋊C4—1461no—
1517C2×C22⋊C4—1461no—
1518#107—731no—
1519#107C22×D7311yescharacteristic, complemented
1520#106—731no—
1521#106—731no—
1522C4⋊C8—731no—
1523C4⋊C8—731no—
1524C4⋊C8—731no—
1525C4⋊C8C22×D7311yescharacteristic, complemented
1526#103—731no—
1527#103—731no—
1528#103—731no—
1529#103—731no—
1530#103—731no—
1531#103—731no—
1532#103—731no—
1533#103—731no—
1534#103—731no—
1535#103—731no—
1536#103C22×D7311yescharacteristic, complemented
1537#103C22×D7311yescharacteristic, complemented
1538#102—731no—
1539#102—731no—
1540#102—731no—
1541#102—731no—
1542#102—731no—
1543#102—731no—
1544#102—731no—
1545#102—731no—
1546#102C22×D7311yescharacteristic
1547#102C22×D7311yescharacteristic
1548#102C22×D7311yescharacteristic, complemented
1549#102C22×D7311yescharacteristic, complemented
1550C22⋊C8—731no—
1551C22⋊C8—731no—
1552C22⋊C8—731no—
1553C22⋊C8—731no—
1554C22⋊C8—731no—
1555C22⋊C8—731no—
1556C22⋊C8C22×D7311yescharacteristic
1557C22⋊C8C22×D7311yescharacteristic, complemented
1558#97—731no—
1559#97C22×D7311yescharacteristic, complemented
1560C4×C8—731no—
1561C4×C8—731no—
1562C24—21no—
1563C24—21no—
1564C24—2924no—
1565C24—5842no—
1566C24—5842no—
1567C24—731no—
1568C24—1461no—
1569C24—1461no—
1570C24—1461no—
1571C24—1461no—
1572C24—1461no—
1573C24—1461no—
1574#41—22no—
1575#41—41no—
1576#41—2921no—
1577#41—2924no—
1578#41—2924no—
1579#41—2924no—
1580#41—2921no—
1581#41—2921no—
1582#41—2924no—
1583#41—1462no—
1584#41—1462no—
1585#41—1462no—
1586#41—1462no—
1587#41—1462no—
1588#41—1462no—
1589#41—1462no—
1590#41—1462no—
1591#41—1462no—
1592C2×Q8—21no—
1593C2×Q8—22no—
1594C2×Q8—41no—
1595C2×Q8—2921no—
1596C2×Q8—2921no—
1597C2×Q8—2924no—
1598C2×Q8—2924no—
1599C2×Q8—2921no—
1600C2×Q8—2921no—
1601C2×Q8—2921no—
1602C2×Q8—2924no—
1603C2×Q8—2924no—
1604C2×Q8—731no—
1605C2×Q8—734no—
1606C2×Q8—731no—
1607C2×Q8—731no—
1608C2×Q8—731no—
1609C2×Q8—731no—
1610C2×Q8—1462no—
1611C2×Q8—1462no—
1612C2×Q8—1461no—
1613C2×Q8—1461no—
1614C2×Q8—1461no—
1615C2×Q8—1461no—
1616C2×Q8—1461no—
1617C2×Q8—1462no—
1618C2×Q8—1462no—
1619C2×Q8—1462no—
1620C2×Q8—1462no—
1621C2×Q8—1462no—
1622C2×Q8—1462no—
1623C2×Q8—1461no—
1624C2×Q8—1461no—
1625C2×Q8C23×D7311yescharacteristic
1626C2×Q8C23×D7311yescharacteristic
1627C2×D4—22no—
1628C2×D4—22no—
1629C2×D4—21no—
1630C2×D4—21no—
1631C2×D4—21no—
1632C2×D4—21no—
1633C2×D4—21no—
1634C2×D4—21no—
1635C2×D4—21no—
1636C2×D4—21no—
1637C2×D4—41no—
1638C2×D4—41no—
1639C2×D4—82no—
1640C2×D4—2921no—
1641C2×D4—2924no—
1642C2×D4—2924no—
1643C2×D4—2924no—
1644C2×D4—2921no—
1645C2×D4—2921no—
1646C2×D4—2921no—
1647C2×D4—2924no—
1648C2×D4—2924no—
1649C2×D4—2924no—
1650C2×D4—5842no—
1651C2×D4—5842no—
1652C2×D4—5842no—
1653C2×D4—734no—
1654C2×D4—731no—
1655C2×D4—731no—
1656C2×D4—731no—
1657C2×D4—731no—
1658C2×D4—731no—
1659C2×D4—731no—
1660C2×D4—731no—
1661C2×D4—731no—
1662C2×D4—1462no—
1663C2×D4—1461no—
1664C2×D4—1462no—
1665C2×D4—1462no—
1666C2×D4—1462no—
1667C2×D4—1461no—
1668C2×D4—1461no—
1669C2×D4—1461no—
1670C2×D4—1461no—
1671C2×D4—1461no—
1672C2×D4—1461no—
1673C2×D4—1461no—
1674C2×D4—1462no—
1675C2×D4—1462no—
1676C2×D4—1461no—
1677C2×D4—1461no—
1678C2×D4—1461no—
1679C2×D4—1461no—
1680C2×D4—1461no—
1681C2×D4—1461no—
1682C2×D4—1461no—
1683C2×D4—1462no—
1684C2×D4—1461no—
1685C2×D4—1461no—
1686C2×D4—1461no—
1687C2×D4D4×D7311yescharacteristic
1688C2×D4C23×D7311yescharacteristic
1689C2×D4C23×D7311yescharacteristic
1690C2×D4C23×D7311yescharacteristic
1691C2×D4C23×D7311yescharacteristic
1692C22×C4—21no—
1693C22×C4—21no—
1694C22×C4—21no—
1695C22×C4—2924no—
1696C22×C4—731no—
1697C22×C4—731no—
1698C22×C4—731no—
1699C22×C4—731no—
1700C22×C4—731no—
1701C22×C4—731no—
1702C22×C4—1461no—
1703C22×C4—1461no—
1704C22×C4—1461no—
1705C22×C4—1461no—
1706C22×C4—1461no—
1707C22×C4—1462no—
1708C22×C4—1462no—
1709C22×C4—1461no—
1710C22×C4—1461no—
1711C22×C4—1461no—
1712C22×C4—1461no—
1713C22×C4—1461no—
1714C22×C4—1461no—
1715C22×C4—1461no—
1716C22×C4—1461no—
1717C22×C4—1461no—
1718C22×C4—1461no—
1719C22×C4C23×D7311yescharacteristic
1720C22×C4C23×D7311yescharacteristic
1721Q16—2921no—
1722Q16—2921no—
1723Q16—1462no—
1724Q16—1462no—
1725Q16—1462no—
1726SD16—22no—
1727SD16—22no—
1728SD16—22no—
1729SD16—22no—
1730SD16—41no—
1731SD16—2921no—
1732SD16—2921no—
1733SD16—2921no—
1734SD16—734no—
1735SD16—734no—
1736SD16—734no—
1737SD16—1462no—
1738SD16—1462no—
1739SD16—1462no—
1740SD16—1462no—
1741SD16—1462no—
1742SD16—1462no—
1743SD16—1462no—
1744SD16—1462no—
1745SD16—1462no—
1746SD16—1462no—
1747SD16—1462no—
1748SD16—1462no—
1749SD16—1462no—
1750SD16—1462no—
1751SD16D4×D7314yescomplemented
1752D8—22no—
1753D8—22no—
1754D8—41no—
1755D8—2921no—
1756D8—1462no—
1757M16—22no—
1758M16—1462no—
1759M16—1462no—
1760M16—1462no—
1761C2×C8—22no—
1762C2×C8—731no—
1763C2×C8—734no—
1764C2×C8—731no—
1765C2×C8—731no—
1766C2×C8—731no—
1767C2×C8—1462no—
1768C2×C8—1462no—
1769C2×C8—1462no—
1770C2×C8—1462no—
1771C2×C8—1462no—
1772C2×C8—1462no—
1773C2×C8C23×D7311yescharacteristic
1774C2×C8C23×D7311yescharacteristic
1775C2×C8C23×D7311yescharacteristic
1776C2×C8C23×D7311yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—731no—
1780C4⋊C4—731no—
1781C4⋊C4—731no—
1782C4⋊C4—731no—
1783C4⋊C4—731no—
1784C4⋊C4—731no—
1785C4⋊C4—731no—
1786C4⋊C4—1461no—
1787C4⋊C4—1461no—
1788C4⋊C4—1461no—
1789C4⋊C4—1461no—
1790C4⋊C4—1461no—
1791C4⋊C4—1461no—
1792C4⋊C4—1461no—
1793C4⋊C4—1461no—
1794C4⋊C4—1461no—
1795C4⋊C4—1461no—
1796C4⋊C4—1461no—
1797C4⋊C4—1461no—
1798C4⋊C4—1461no—
1799C4⋊C4—1461no—
1800C4⋊C4D4×D7311yescharacteristic
1801C4⋊C4C23×D7311yescharacteristic
1802C4⋊C4C23×D7311yescharacteristic
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—731no—
1811C22⋊C4—731no—
1812C22⋊C4—731no—
1813C22⋊C4—731no—
1814C22⋊C4—731no—
1815C22⋊C4—731no—
1816C22⋊C4—731no—
1817C22⋊C4—731no—
1818C22⋊C4—1461no—
1819C22⋊C4—1461no—
1820C22⋊C4—1461no—
1821C22⋊C4—1461no—
1822C22⋊C4—1461no—
1823C22⋊C4—1461no—
1824C22⋊C4—1461no—
1825C22⋊C4—1461no—
1826C22⋊C4—1461no—
1827C22⋊C4—1461no—
1828C22⋊C4—1461no—
1829C22⋊C4—1461no—
1830C22⋊C4—1461no—
1831C22⋊C4—1461no—
1832C22⋊C4—1461no—
1833C22⋊C4—1461no—
1834C22⋊C4—1461no—
1835C22⋊C4—1461no—
1836C22⋊C4—1461no—
1837C22⋊C4—1461no—
1838C22⋊C4—1461no—
1839C22⋊C4—1461no—
1840C22⋊C4—1461no—
1841C22⋊C4D4×D7311yescharacteristic
1842C22⋊C4D4×D7311yescharacteristic
1843C42—21no—
1844C42—731no—
1845C42—1461no—
1846C42—1461no—
1847C42—1461no—
1848C42—1461no—
1849C42—1461no—
1850C42C23×D7311yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—21no—
1855C23—42no—
1856C23—42no—
1857C23—42no—
1858C23—81no—
1859C23—81no—
1860C23—81no—
1861C23—2922no—
1862C23—2922no—
1863C23—2922no—
1864C23—2922no—
1865C23—2922no—
1866C23—2922no—
1867C23—2922no—
1868C23—2922no—
1869C23—5841no—
1870C23—5841no—
1871C23—5841no—
1872C23—5841no—
1873C23—5841no—
1874C23—5841no—
1875C23—5841no—
1876C23—5841no—
1877C23—5841no—
1878C23—58416no—
1879C23—731no—
1880C23—731no—
1881C23—731no—
1882C23—1464no—
1883C23—1462no—
1884C23—1462no—
1885C23—1461no—
1886C23—1461no—
1887C23—1462no—
1888C23C2×D4×D7311yescharacteristic
1889C23C2×D4×D7311yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—42no—
1894Q8—2922no—
1895Q8—2922no—
1896Q8—2922no—
1897Q8—2922no—
1898Q8—2922no—
1899Q8—2922no—
1900Q8—732no—
1901Q8—1464no—
1902Q8—1462no—
1903Q8—1461no—
1904Q8—1461no—
1905Q8—1461no—
1906Q8—1461no—
1907Q8—1461no—
1908Q8—1461no—
1909Q8—1461no—
1910Q8C2×D4×D7312yes—
1911D4—22no—
1912D4—21no—
1913D4—21no—
1914D4—21no—
1915D4—21no—
1916D4—21no—
1917D4—21no—
1918D4—21no—
1919D4—42no—
1920D4—42no—
1921D4—42no—
1922D4—42no—
1923D4—42no—
1924D4—81no—
1925D4—81no—
1926D4—81no—
1927D4—2922no—
1928D4—2922no—
1929D4—2922no—
1930D4—2922no—
1931D4—2922no—
1932D4—2922no—
1933D4—2922no—
1934D4—2922no—
1935D4—2922no—
1936D4—2922no—
1937D4—2922no—
1938D4—2922no—
1939D4—5841no—
1940D4—5841no—
1941D4—5841no—
1942D4—5841no—
1943D4—5841no—
1944D4—732no—
1945D4—1462no—
1946D4—1462no—
1947D4—1464no—
1948D4—1462no—
1949D4—1462no—
1950D4—1462no—
1951D4—1462no—
1952D4—1461no—
1953D4—1461no—
1954D4—1461no—
1955D4C2×D4×D7312yes—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—42no—
1965C2×C4—42no—
1966C2×C4—81no—
1967C2×C4—2922no—
1968C2×C4—2922no—
1969C2×C4—2922no—
1970C2×C4—2922no—
1971C2×C4—2922no—
1972C2×C4—2922no—
1973C2×C4—2922no—
1974C2×C4—2922no—
1975C2×C4—2922no—
1976C2×C4—2922no—
1977C2×C4—2922no—
1978C2×C4—5841no—
1979C2×C4—5841no—
1980C2×C4—5841no—
1981C2×C4—731no—
1982C2×C4—732no—
1983C2×C4—732no—
1984C2×C4—731no—
1985C2×C4—731no—
1986C2×C4—731no—
1987C2×C4—731no—
1988C2×C4—1462no—
1989C2×C4—1464no—
1990C2×C4—1462no—
1991C2×C4—1461no—
1992C2×C4—1461no—
1993C2×C4—1461no—
1994C2×C4—1461no—
1995C2×C4—1461no—
1996C2×C4—1462no—
1997C2×C4—1461no—
1998C2×C4—1461no—
1999C2×C4—1461no—
2000C2×C4—1461no—
2001C2×C4—1461no—
2002C2×C4C2×D4×D7311yescharacteristic
2003C2×C4C2×D4×D7311yescharacteristic
2004C2×C4C2×D4×D7311yescharacteristic
2005C2×C4C2×D4×D7311yescharacteristic
2006C2×C4C24×D7311yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—732no—
2011C8—1461no—
2012C8—1461no—
2013C8—1461no—
2014C8C2×D4×D7312yes—
2015C22—21no—
2016C22—21no—
2017C22—21no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—41no—
2031C22—41no—
2032C22—84no—
2033C22—162no—
2034C22—2921no—
2035C22—2921no—
2036C22—2921no—
2037C22—2921no—
2038C22—2921no—
2039C22—5844no—
2040C22—5844no—
2041C22—5844no—
2042C22—5844no—
2043C22—5844no—
2044C22—732no—
2045C22—732no—
2046C22—11682no—
2047C22—1468no—
2048C22—1461no—
2049C22—1462no—
2050C22—1461no—
2051C22—1461no—
2052C22—1461no—
2053C22—1461no—
2054C22—1461no—
2055C22—1461no—
2056C22#1798939712yescomplemented
2057C22C22×D4×D7311yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—22no—
2061C4—21no—
2062C4—21no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—2921no—
2067C4—2921no—
2068C4—2921no—
2069C4—2921no—
2070C4—2921no—
2071C4—732no—
2072C4—1461no—
2073C4—1462no—
2074C4—1461no—
2075C4—1461no—
2076C4—1461no—
2077C4C22×D4×D7311yescharacteristic
2078C4H(5,𝔽2)×D7311yescharacteristic
2079C2—22no—
2080C2—41no—
2081C2—42no—
2082C2—81no—
2083C2—81no—
2084C2—81no—
2085C2—2922no—
2086C2—2921no—
2087C2—5841no—
2088C2—1462no—
2089C2—1462no—
2090C2D42×D7311yescharacteristic
2091C2#577×D7311yescharacteristic
2092C2C2×#1798939711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61050
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. C2×#17989397C2semidirect
2. C22×SD16×D73C2semidirect
3. #22623577C2semidirect
4. #22623559C2semidirect
5. #22621644C2semidirect
6. #22621642C2semidirect
7. #22621641C2semidirect
8. #22621639C2semidirect
9. #22621625C2semidirect
10. D4×#11924016C2semidirect
11. #22621622C2semidirect
12. #22621620C2semidirect
13. #22621448C2semidirect
14. #22621446C2semidirect
15. #22621443C2semidirect
16. #22621441C2semidirect
17. #22621425C2semidirect
18. #22621423C2semidirect
19. #22621420C2semidirect
20. #22620404C2semidirect
21. #22619568C2semidirect
22. #22619510C2semidirect
23. #22619447C2semidirect
24. #22619441C2semidirect
25. #22619214C2semidirect
26. #22619203C2semidirect
27. #22619162C2semidirect
28. #22619155C2semidirect
29. #22618787C2semidirect
30. #22618622C2semidirect
31. C73×#3265C2semidirect
32. C2×#14556638C22semidirect
34. C22×Q8×D73C22semidirect
37. C2×#14556624C22semidirect
38. C2×#14556620C22semidirect
39. C2×#14556620C22semidirect
40. C2×#14556620C22semidirect
42. C2×#14556615C22semidirect
43. C2×#14556615C22semidirect
44. C2×#14556611C22semidirect
45. C2×#14556610C22semidirect
46. C2×#14556610C22semidirect
47. C22×#11924017C22semidirect
48. C22×#11924016C22semidirect
49. C22×#11924016C22semidirect
50. C22×#11924015C22semidirect
54. C2×SD16×D73C22semidirect
55. C2×SD16×D73C22semidirect
56. C2×SD16×D73C22semidirect
57. C2×SD16×D73C22semidirect
58. C2×SD16×D73C22semidirect
59. C2×SD16×D73C22semidirect
60. C2×SD16×D73C22semidirect
61. C2×#14556599C22semidirect
62. C22×C8×D73C22semidirect
63. Q8×D292C22semidirect
65. D4×Dic146C22semidirect
66. Q8×C22⋊D73C22semidirect
68. #17989250C22semidirect
70. #17989245C22semidirect
71. #17989244C22semidirect
73. #17989243C22semidirect
86. #17989160C22semidirect
88. #17989157C22semidirect
95. #17989097C22semidirect
100. #17989063C22semidirect
102. #17988981C22semidirect
103. #17988978C22semidirect
104. #17988975C22semidirect
105. #17988970C22semidirect
106. #17988969C22semidirect
107. #17988959C22semidirect
108. #17988958C22semidirect
109. #17988834C22semidirect
110. #17988833C22semidirect
111. #17988830C22semidirect
112. #17988829C22semidirect
113. #17988828C22semidirect
114. #17988820C22semidirect
115. #17988819C22semidirect
116. #17988818C22semidirect
117. #17988815C22semidirect
118. #17988815C22semidirect
119. #17988815C22semidirect
120. #17988814C22semidirect
121. #17988814C22semidirect
122. #17988814C22semidirect
123. #17988810C22semidirect
124. #17988809C22semidirect
125. #17988808C22semidirect
126. #17988807C22semidirect
127. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988799C22semidirect
130. #17988793C22semidirect
131. #17988792C22semidirect
132. #17988791C22semidirect
133. #17988790C22semidirect
134. #17988786C22semidirect
135. #17988785C22semidirect
136. #17988784C22semidirect
137. #17988751C22semidirect
138. #17988750C22semidirect
139. #17988747C22semidirect
140. #17988746C22semidirect
141. #17988745C22semidirect
142. #17988744C22semidirect
143. #17988744C22semidirect
144. #17988743C22semidirect
145. #17988740C22semidirect
146. #17988739C22semidirect
147. #17988739C22semidirect
148. #17988739C22semidirect
149. #17988738C22semidirect
150. #17988738C22semidirect
151. #17988736C22semidirect
152. #17988733C22semidirect
153. #17988732C22semidirect
154. #17988729C22semidirect
155. #17988728C22semidirect
156. #17988727C22semidirect
157. #17988725C22semidirect
158. #17988725C22semidirect
159. #17988724C22semidirect
160. #17988724C22semidirect
161. #17988724C22semidirect
162. #17988720C22semidirect
163. #17988719C22semidirect
164. #17988719C22semidirect
165. #17988689C22semidirect
166. #17988688C22semidirect
167. #17988686C22semidirect
168. #17988678C22semidirect
169. C4×#11924015C22semidirect
170. C4×#11924016C22semidirect
171. #17988672C22semidirect
172. #17988660C22semidirect
173. #17988658C22semidirect
174. #17988656C22semidirect
175. D4×#10596831C22semidirect
176. #17988652C22semidirect
177. #17988650C22semidirect
178. #17988650C22semidirect
179. #17988624C22semidirect
180. #17988612C22semidirect
181. #17988594C22semidirect
182. #17988594C22semidirect
184. #17988590C22semidirect
185. #17988580C22semidirect
186. #17988580C22semidirect
187. #17988552C22semidirect
188. #17988549C22semidirect
189. #17988544C22semidirect
190. C2×AGL(1,ℤ/8)×C73C22semidirect
191. C22×SD16×C73C22semidirect
192. #548×C73C22semidirect
194. #496×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #463×C73C22semidirect
198. #460×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #448×C73C22semidirect
202. #447×C73C22semidirect
203. #440×C73C22semidirect
204. #435×C73C22semidirect
219. C2×#11924027C23semidirect
223. C22×Dic146C23semidirect
232. C2×Q8×D73C23semidirect
262. C2×Dic292C23semidirect
263. C2×Dic292C23semidirect
264. C2×Dic292C23semidirect
265. C2×#11924018C23semidirect
266. C2×#11924018C23semidirect
282. C2×#11924016C23semidirect
283. C2×#11924016C23semidirect
284. C2×#11924016C23semidirect
285. C2×#11924016C23semidirect
299. SD16×D73D4semidirect
305. C2×#11924011C23semidirect
307. C22×#10596831C23semidirect
313. C2×C8×D73C23semidirect
315. #14556591C23semidirect
320. #14556589C23semidirect
326. #14556578C23semidirect
347. #14556571C23semidirect
352. #14556570C23semidirect
364. #14556567C23semidirect
402. Q8×Dic73C23semidirect
404. C4×Dic146C23semidirect
406. #14556556C23semidirect
437. #14556525C23semidirect
438. #14556522C23semidirect
439. #14556522C23semidirect
440. C4⋊#10596831C23semidirect
441. #14556520C23semidirect
442. #14556520C23semidirect
443. #14556516C23semidirect
444. #14556516C23semidirect
445. #14556516C23semidirect
446. #14556516C23semidirect
447. #14556515C23semidirect
448. #14556515C23semidirect
449. #14556514C23semidirect
450. #14556514C23semidirect
451. #14556514C23semidirect
452. #14556514C23semidirect
457. #14556512C23semidirect
458. #14556512C23semidirect
462. C22⋊#10596831C23semidirect
465. #14556503C23semidirect
466. #14556503C23semidirect
467. #14556501C23semidirect
468. C4×#10596831C23semidirect
469. C8×Dic73C23semidirect
470. C2×#41×C73C23semidirect
481. C2×SD16×C73C23semidirect
482. C2×SD16×C73C23semidirect
485. C2×D8×C73C23semidirect
486. C2×M16×C73C23semidirect
490. #124×C73C23semidirect
492. C22⋊Q8×C73C23semidirect
500. C4×Q8×C73C23semidirect
504. #107×C73C23semidirect
505. C4⋊C8×C73C23semidirect
506. #103×C73C23semidirect
507. #103×C73C23semidirect
510. #102×C73C23semidirect
511. #102×C73C23semidirect
513. C22⋊C8×C73C23semidirect
514. #97×C73C23semidirect
570. Q8×D73C2×D4semidirect
652. #11924017C2×D4semidirect
662. #11924016C2×D4semidirect
666. #11924015C2×D4semidirect
682. C8×D73C2×D4semidirect
778. SD16×C73C2×D4semidirect
987. C22×C73#577semidirect
1010. C2×D73#577semidirect
1066. #3265D73semidirect
1078. C73#61050semidirect
1091. C2×AGL(1,ℤ/8)C2×D73semidirect
1109. C22×SD16C2×D73semidirect
1123. #548C2×D73semidirect
1156. #496C2×D73semidirect
1164. #468C2×D73semidirect
1168. #466C2×D73semidirect
1184. #463C2×D73semidirect
1192. #460C2×D73semidirect
1208. #450C2×D73semidirect
1212. #449C2×D73semidirect
1220. #448C2×D73semidirect
1224. #447C2×D73semidirect
1228. #440C2×D73semidirect
1236. #435C2×D73semidirect
1267. C2×#41C22×D73semidirect
1358. C2×SD16C22×D73semidirect
1359. C2×SD16C22×D73semidirect
1364. C2×D8C22×D73semidirect
1369. C2×M16C22×D73semidirect
1398. #124C22×D73semidirect
1434. C22⋊Q8C22×D73semidirect
1484. C4×Q8C22×D73semidirect
1519. #107C22×D73semidirect
1525. C4⋊C8C22×D73semidirect
1536. #103C22×D73semidirect
1537. #103C22×D73semidirect
1548. #102C22×D73semidirect
1549. #102C22×D73semidirect
1557. C22⋊C8C22×D73semidirect
1559. #97C22×D73semidirect
1751. SD16D4×D73semidirect
2056. C22#17989397semidirect

Maximal subgroups

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

subgroupindex
C2×#179893972
C22×SD16×D732
#226235772
#226235592
#226216442
#226216422
#226216412
#226216392
#226216252
D4×#119240162
#226216222
#226216202
#226214482
#226214462
#226214432
#226214412
#226214252
#226214232
#226214202
#226204042
#226195682
#226195102
#226194472
#226194412
#226192142
#226192032
#226191622
#226191552
#226187872
#226186222
C73×#32652
#6105073